Details

Time bar (total: 11.5s)

analyze374.0ms (3.2%)

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)

sample4.8s (41.7%)

Results
2.1s2039×body1024valid
1.4s4972×body256valid
640.0ms1025×body512valid
409.0ms220×body2048valid
112.0ms429×body256infinite
89.0ms417×body256unsamplable
15.0ms24×body1024infinite
4.0ms9×body512infinite
Bogosity

preprocess53.0ms (0.5%)

Algorithm
2×egg-herbie
Rules
572×associate-*l/_binary64
464×associate-/l/_binary64
345×associate-/r/_binary64
239×fma-def_binary64
238×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03590
110390
229974
3102874
4331174
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 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (neg.f64 (+.f64 1 eps)) x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)) (+.f64 (neg.f64 (/.f64 1 eps)) 1))) 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 (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 (-.f64 1 x) (neg.f64 eps)))) (*.f64 (+.f64 (/.f64 1 x) -1) (exp.f64 (*.f64 (+.f64 1 x) (neg.f64 eps))))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (-.f64 1 x)) (neg.f64 eps)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (neg.f64 eps)) (+.f64 (neg.f64 (/.f64 1 x)) 1))) 2)
(/.f64 (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)))) 2)
(/.f64 (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)))) 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)

simplify36.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
750×times-frac_binary64
534×cancel-sign-sub-inv_binary64
519×fma-neg_binary64
479×associate-/l*_binary64
366×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02045
15745
215937
354137
4169737
Stop Event
1×node limit
Counts
1 → 2
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) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) 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 (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)))))

eval1.0ms (0%)

Compiler

Compiled 56 to 43 computations (23.2% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
29.2b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.8b
(*.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)))))
▶29.2b
(/.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)
Compiler

Compiled 58 to 45 computations (22.4% saved)

localize43.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(exp.f64 (fma.f64 eps x x))
✓0.0b
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
✓0.1b
(pow.f64 (exp.f64 x) (+.f64 eps -1))
✓7.0b
(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))))
Compiler

Compiled 102 to 58 computations (43.1% saved)

series63.0ms (0.6%)

Counts
4 → 80
Calls

24 calls:

TimeVariablePointExpression
25.0ms
x
@inf
(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))))
24.0ms
x
@-inf
(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))))
2.0ms
x
@0
(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))))
2.0ms
eps
@0
(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))))
1.0ms
eps
@inf
(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))))

rewrite81.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
641×prod-diff_binary64
325×fma-def_binary64
263×expm1-udef_binary64
263×log1p-udef_binary64
232×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01666
135164
2503864
Stop Event
1×node limit
Counts
4 → 98
Calls
Call 1
Inputs
(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))))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(exp.f64 (fma.f64 eps x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) 1) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (fma.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (-.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (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 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1))))) (+.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 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps 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simplify103.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
593×associate-+r+_binary64
384×+-commutative_binary64
337×associate--l+_binary64
309×fma-neg_binary64
291×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02132746
17732430
229532111
379912111
Stop Event
1×node limit
Counts
178 → 175
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)))))
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(/.f64 -1 (*.f64 eps (exp.f64 x)))
(-.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 1 (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))))) (+.f64 1 eps))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 1 (/.f64 1 eps)))) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 1 (/.f64 1 eps)))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2)))))) (/.f64 1 eps))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(exp.f64 x)
(+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 x) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x))))
1
(+.f64 1 (*.f64 (+.f64 eps 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (+.f64 eps 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))))))
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 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x)))))
(+.f64 (+.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) 0) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.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 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) 0) (/.f64 x (exp.f64 x))))
(fma.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) (fma.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2 (*.f64 (/.f64 x (exp.f64 x)) (+.f64 x 1)))) (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))) (fma.f64 -1 (*.f64 x (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))))))))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x))))
(-.f64 (+.f64 (+.f64 (fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x))))) (/.f64 (exp.f64 (neg.f64 x)) eps)) (*.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 -1/6 (/.f64 (exp.f64 x) (pow.f64 x 3))) (*.f64 x (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)))))))) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (/.f64 x (exp.f64 x))))
(fma.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) (fma.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2 (*.f64 (/.f64 x (exp.f64 x)) (+.f64 x 1)))) (+.f64 (/.f64 x (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) (*.f64 eps (*.f64 eps (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) -1/6 (*.f64 x (*.f64 x (-.f64 (*.f64 (/.f64 1/2 (exp.f64 x)) x) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))))))))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (+.f64 eps -1)) x))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(-.f64 (+.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 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))))
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2
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1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
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(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(exp.f64 x)
(+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x))
(fma.f64 eps (*.f64 x (exp.f64 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)))
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 x) (*.f64 x x))) (fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x)))
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 (*.f64 x eps) (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x 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))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 x) (pow.f64 x 3))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 x) (*.f64 x x))) (fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x))))
(fma.f64 1/6 (*.f64 (pow.f64 x 3) (*.f64 (exp.f64 x) (pow.f64 eps 3))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 x) (*.f64 x x))) (fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x))))
(+.f64 (fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x x)) (*.f64 (*.f64 1/6 (pow.f64 eps 3)) (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 (+.f64 eps 1) 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 (+.f64 eps 1) x)))
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2)) (+.f64 1 (*.f64 x (+.f64 1 eps))))
(+.f64 (fma.f64 eps x x) (fma.f64 1/2 (*.f64 (fma.f64 eps x x) (fma.f64 eps x x)) 1))
(+.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))))))
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2)) (+.f64 1 (fma.f64 (+.f64 1 eps) x (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3))))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)) (fma.f64 eps x x)) (fma.f64 1/2 (*.f64 (fma.f64 eps x x) (fma.f64 eps x x)) 1))

localize63.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
✓0.0b
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
✓0.0b
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
✓4.5b
(-.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 143 to 106 computations (25.9% saved)

series16.0ms (0.1%)

Counts
4 → 84
Calls

24 calls:

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

rewrite117.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
345×fma-neg_binary64
325×expm1-udef_binary64
324×log1p-udef_binary64
271×log-pow_binary64
209×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01893
141281
2598181
Stop Event
1×node limit
Counts
4 → 164
Calls
Call 1
Inputs
(-.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)))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
Outputs
((#(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) (neg.f64 (+.f64 (/.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 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (neg.f64 (+.f64 (/.f64 1 eps) -1))) 1))))) (#(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) (neg.f64 (+.f64 (/.f64 1 eps) -1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 (+.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (neg.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (/.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps -3) -1) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps -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 (pow.f64 eps -3) -1) 1) (*.f64 (+.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) 1) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 eps -3) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (+.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 (pow.f64 eps -3) -1)) (+.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 (pow.f64 eps -2) -1)) (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (+.f64 x (*.f64 eps x)) (log.f64 (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (+.f64 x (*.f64 eps x)) (log.f64 (+.f64 (/.f64 1 eps) -1))) 1))))))

simplify82.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
627×distribute-rgt-in_binary64
610×distribute-lft-in_binary64
439×cancel-sign-sub-inv_binary64
228×associate--l+_binary64
222×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02263185
17752801
228702303
Stop Event
1×node limit
Counts
248 → 247
Calls
Call 1
Inputs
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.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)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.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)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))) (*.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)))) (+.f64 (*.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))))) (pow.f64 eps 6)) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps)))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps)))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps)))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (neg.f64 (*.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 eps 1) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 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 (*.f64 (-.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 3))) (*.f64 -1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 3)))) (pow.f64 x 3)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2)))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(/.f64 (exp.f64 (neg.f64 x)) eps)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))
(+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) eps) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))))) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) eps) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) eps))
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) eps))
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) eps))
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x)))))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (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)))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (exp.f64 (neg.f64 x)))))
(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
(+.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 x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(/.f64 (exp.f64 (neg.f64 x)) eps)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) eps) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x))))))
(+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) eps) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))))))
(*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))
(+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps))
(+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps))
(+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps))
(*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (/.f64 1 eps) 1)
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2)))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))))) 1)
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))))) 1)
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))
Outputs
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (*.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 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 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))) (*.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))))
(-.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 1/6 (exp.f64 x)) (pow.f64 x 3) (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (neg.f64 (fma.f64 (/.f64 -1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 -1/6 (exp.f64 x))))))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(fma.f64 (*.f64 eps eps) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x))) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) 1))) (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.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)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (pow.f64 eps 4) (-.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))) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))))) (*.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))))
(-.f64 (fma.f64 (pow.f64 eps 4) (-.f64 (fma.f64 (/.f64 1/120 (exp.f64 x)) (pow.f64 x 5) (*.f64 (pow.f64 x 4) (/.f64 1/24 (exp.f64 x)))) (fma.f64 (/.f64 -1/24 (exp.f64 x)) (pow.f64 x 4) (*.f64 (pow.f64 x 5) (/.f64 -1/120 (exp.f64 x))))) (fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 1/6 (exp.f64 x)) (pow.f64 x 3) (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (neg.f64 (fma.f64 (/.f64 -1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 -1/6 (exp.f64 x))))))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(fma.f64 (pow.f64 eps 4) (fma.f64 1/120 (/.f64 (pow.f64 x 5) (exp.f64 x)) (+.f64 (/.f64 (*.f64 (pow.f64 x 5) 1/120) (exp.f64 x)) (*.f64 (/.f64 (pow.f64 x 4) (exp.f64 x)) 1/12))) (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x))) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) 1))) (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.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)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))) (*.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)))) (+.f64 (*.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))))) (pow.f64 eps 6)) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
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2
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1
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(*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))
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(/.f64 -1 (exp.f64 (fma.f64 x eps x)))
(+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps))
(fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
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(fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
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(fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))
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(/.f64 -1 (exp.f64 (fma.f64 x eps x)))
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(fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
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(-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))
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(fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))
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(-.f64 (/.f64 1 eps) 1)
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(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) 1))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1) (fma.f64 x eps x) -1))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2)))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))))) 1)
(+.f64 (+.f64 (/.f64 1 eps) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps 1) 2))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))))) -1)
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(+.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (-.f64 (*.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) (fma.f64 x eps x))) (+.f64 -1 (/.f64 1 eps)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))))) 1)
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(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))
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(-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))
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(-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))
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(-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))
(fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))

eval297.0ms (2.6%)

Compiler

Compiled 16481 to 11707 computations (29% saved)

prune81.0ms (0.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New41012422
Fresh000
Picked101
Done101
Total41212424
Error
0.0b
Counts
424 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
12.9b
(*.f64 1/2 (fma.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) (fma.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2 (*.f64 (/.f64 x (exp.f64 x)) (+.f64 x 1)))) (+.f64 (/.f64 x (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) (*.f64 eps (*.f64 eps (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) -1/6 (*.f64 x (*.f64 x (-.f64 (*.f64 (/.f64 1/2 (exp.f64 x)) x) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))))))))))))
1.2b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
49.8b
(*.f64 1/2 (/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (fma.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (-.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))
47.3b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 eps 1) x))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
▶47.5b
(/.f64 (-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
29.8b
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3))))
▶44.8b
(*.f64 1/2 0)
▶22.5b
(/.f64 (+.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 eps 1) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2)))) 2)
▶0.4b
(*.f64 1/2 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))))
16.8b
(/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x))) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) 1))) (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)))) 2)
▶0.4b
(/.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2)
18.4b
(/.f64 2 2)
Compiler

Compiled 878 to 628 computations (28.5% saved)

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 40 to 23 computations (42.5% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite46.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
616×pow1_binary64
573×add-log-exp_binary64
571×log1p-expm1-u_binary64
571×expm1-log1p-u_binary64
562×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0711
11458
218748
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (exp.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 1 (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 (+.f64 (pow.f64 x 3) 1) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) 1) (*.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)))))) (#(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 (pow.f64 x 3) 1) (exp.f64 x)) (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 (exp.f64 x) (+.f64 (pow.f64 x 3) 1)) (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 pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)))) (#(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 pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 3)))) (#(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 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 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 log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log1p.f64 x)))))))

simplify95.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
883×fma-def_binary64
603×fma-neg_binary64
385×*-commutative_binary64
283×sqr-pow_binary64
278×distribute-lft-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030146
172132
2150125
3473106
41500103
53433103
64948103
76121103
87822103
Stop Event
1×node limit
Counts
34 → 35
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)))
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)
(fma.f64 x (*.f64 -1/2 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 (*.f64 x 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 1 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))))
(fma.f64 -1/8 (pow.f64 x 4) (fma.f64 (*.f64 x x) (fma.f64 x 1/3 -1/2) 1))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 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 x 1) (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 x 1) (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 x 1) (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 x 1) (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 x 1) (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 x 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize43.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 1 eps) x)
✓0.0b
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
0.0b
(*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
✓7.8b
(-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Compiler

Compiled 96 to 69 computations (28.1% saved)

series8.0ms (0.1%)

Counts
3 → 68
Calls

18 calls:

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

rewrite106.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
746×log-prod_binary64
552×fma-def_binary64
282×fma-neg_binary64
259×log-div_binary64
247×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01447
132843
2472737
Stop Event
1×node limit
Counts
3 → 211
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
(*.f64 (+.f64 1 eps) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (exp.f64 (fma.f64 eps x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (exp.f64 (fma.f64 eps x x)))) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1) (exp.f64 (fma.f64 eps x x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 2) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (+.f64 eps 1) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))) (cbrt.f64 (exp.f64 (-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 eps x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (fma.f64 eps x x)) (*.f64 2 (*.f64 1/3 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (fma.f64 eps x x)) (*.f64 1/2 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (fma.f64 eps x x))) (*.f64 1/3 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (exp.f64 (fma.f64 eps x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 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(*.f64 x x)) (cbrt.f64 x) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))))))

simplify99.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
789×fma-def_binary64
536×times-frac_binary64
431×sub-neg_binary64
424×unsub-neg_binary64
289×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01141273
14141197
214201057
357481046
Stop Event
1×node limit
Counts
279 → 256
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps)
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))))) (+.f64 (/.f64 1 eps) 1)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))))) (+.f64 (/.f64 1 eps) 1))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x))))))
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps)))
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
2
(+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))
(+.f64 2 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))))))
(+.f64 (*.f64 1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))) (+.f64 2 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2)))))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 (/.f64 1 eps) 1) (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)))
(+.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))))
(+.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
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (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 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)))
x
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
Outputs
(/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps)
(/.f64 (neg.f64 (expm1.f64 (neg.f64 x))) eps)
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x))))))
(-.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (exp.f64 (neg.f64 x)) eps)) (*.f64 -1 (+.f64 (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(+.f64 1 (+.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))
(+.f64 1 (+.f64 (/.f64 (neg.f64 (expm1.f64 (neg.f64 x))) eps) (/.f64 (+.f64 1 x) (exp.f64 x))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))))) (+.f64 (/.f64 1 eps) 1)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x))))))
(-.f64 (fma.f64 -1 (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x)))) (+.f64 1 (/.f64 1 eps))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (*.f64 -1 (+.f64 (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))))
(fma.f64 (neg.f64 eps) (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x)))) (-.f64 (+.f64 1 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(+.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) (neg.f64 eps) 1) (+.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))
(+.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) (neg.f64 eps) 1) (+.f64 (/.f64 (neg.f64 (expm1.f64 (neg.f64 x))) eps) (/.f64 (+.f64 1 x) (exp.f64 x))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))))) (+.f64 (/.f64 1 eps) 1))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x))))))
(-.f64 (fma.f64 -1 (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))) (fma.f64 -1 (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x)))) (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (*.f64 -1 (+.f64 (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))))
(fma.f64 (*.f64 (neg.f64 eps) eps) (fma.f64 (/.f64 -1/6 (exp.f64 x)) (pow.f64 x 3) (*.f64 (*.f64 x x) (/.f64 -1/2 (exp.f64 x)))) (fma.f64 (neg.f64 eps) (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x)))) (-.f64 (+.f64 1 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))))
(fma.f64 -1 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 x x) -1/2) (*.f64 -1/6 (pow.f64 x 3))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))))) (+.f64 1 (+.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (neg.f64 (expm1.f64 (neg.f64 x))) eps) (/.f64 (+.f64 1 x) (exp.f64 x)))) (*.f64 eps (+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 x x) -1/2) (*.f64 -1/6 (pow.f64 x 3))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))))))
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))))
(-.f64 1 (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 1 (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
2
(+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))
(+.f64 2 (*.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (fma.f64 x eps x) (+.f64 (/.f64 1 eps) -1) 2)
(+.f64 2 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))))))
(+.f64 2 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) (*.f64 -1/2 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2))))))
(+.f64 2 (fma.f64 (fma.f64 x eps x) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) -1/2))))
(+.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (fma.f64 x eps x) (*.f64 -1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))))))
(+.f64 (*.f64 1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))) (+.f64 2 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2)))))))
(fma.f64 1/6 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (+.f64 1 eps) 3)) (pow.f64 x 3)) (+.f64 2 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) (*.f64 -1/2 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2)))))))
(+.f64 (fma.f64 (fma.f64 x eps x) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) -1/2))) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (+.f64 1 eps) 3))) 2))
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (fma.f64 x eps x) (*.f64 -1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))))) (fma.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)) (+.f64 -1/6 (/.f64 1/6 eps)) 2))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(-.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(-.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(-.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(-.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 1 (/.f64 1 eps)) (+.f64 1 (/.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 x (/.f64 eps (exp.f64 x))))
(*.f64 (-.f64 1 (*.f64 x eps)) (exp.f64 (neg.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 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (exp.f64 (neg.f64 x))))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps (/.f64 eps (exp.f64 x)))) (exp.f64 (neg.f64 x))) (*.f64 x (/.f64 eps (exp.f64 x))))
(fma.f64 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 1/2 (*.f64 eps eps)) (*.f64 (-.f64 1 (*.f64 x eps)) (exp.f64 (neg.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 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (pow.f64 eps 3)) (fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (exp.f64 (neg.f64 x)))))
(+.f64 (-.f64 (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps (/.f64 eps (exp.f64 x)))) (exp.f64 (neg.f64 x))) (*.f64 x (/.f64 eps (exp.f64 x)))) (*.f64 (*.f64 (pow.f64 x 3) (/.f64 -1/6 (exp.f64 x))) (pow.f64 eps 3)))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (/.f64 (pow.f64 eps 3) (exp.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 1/2 (*.f64 eps eps)) (*.f64 (-.f64 1 (*.f64 x eps)) (exp.f64 (neg.f64 x)))))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(+.f64 1 (neg.f64 (fma.f64 eps x x)))
(-.f64 1 (fma.f64 x eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1 (fma.f64 eps x x) (*.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2)))))
(+.f64 1 (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (neg.f64 (fma.f64 x eps x))))
(-.f64 (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) 1) (fma.f64 x eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(+.f64 1 (fma.f64 -1 (fma.f64 eps x x) (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2)) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3))))))
(+.f64 (-.f64 1 (fma.f64 x eps x)) (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 (pow.f64 (+.f64 1 eps) 3) (*.f64 (pow.f64 x 3) -1/6))))
(+.f64 1 (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (fma.f64 (pow.f64 (+.f64 1 eps) 3) (*.f64 -1/6 (pow.f64 x 3)) (*.f64 x (-.f64 -1 eps)))))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
x
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(fma.f64 x eps x)

localize146.0ms (1.3%)

Local error

Found 3 expressions with local error:

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

Compiled 52 to 23 computations (55.8% saved)

series5.0ms (0%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)))
1.0ms
x
@inf
(/.f64 x (exp.f64 x))
1.0ms
x
@-inf
(/.f64 x (exp.f64 x))
1.0ms
x
@inf
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)))
1.0ms
x
@0
(/.f64 x (exp.f64 x))

rewrite56.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
515×fma-def_binary64
484×log-prod_binary64
311×pow-prod-down_binary64
256×fma-neg_binary64
251×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01044
122630
234983
Stop Event
1×node limit
Counts
3 → 3
Calls
Call 1
Inputs
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))) (#(struct:change #<rule egg-rr> (2) ((x . x)))))
((#(struct:change #<rule egg-rr> (2) ((x . 2)))))
((#(struct:change #<rule egg-rr> (2) ((x . 2)))))

simplify54.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
736×distribute-rgt-neg-in_binary64
628×distribute-lft-neg-in_binary64
562×associate-*l*_binary64
448×associate-*r*_binary64
286×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059418
1162316
2404290
31364275
45065275
Stop Event
1×node limit
Counts
31 → 33
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 3)))))
(*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x)
(+.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)) (*.f64 2 (exp.f64 (*.f64 -1 x))))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 -1 x)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(*.f64 (exp.f64 (neg.f64 x)) x)
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 2 (exp.f64 (*.f64 -1 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))
(+.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))
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (neg.f64 (*.f64 x x)))
(-.f64 2 (*.f64 x x))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 2 (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 3) 2/3)))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 3)))))
(+.f64 2 (fma.f64 -1 (*.f64 x x) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 2/3))))
(+.f64 (-.f64 2 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 2/3 (*.f64 (pow.f64 x 4) -1/4)))
(+.f64 2 (-.f64 (fma.f64 (pow.f64 x 3) 2/3 (*.f64 (pow.f64 x 4) -1/4)) (*.f64 x x)))
(-.f64 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 x -1/4) 2/3)) (fma.f64 x x -2))
(*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x)
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
(*.f64 x (/.f64 2 (exp.f64 x)))
(/.f64 (+.f64 x x) (exp.f64 x))
(+.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 x (/.f64 2 (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x)))
(*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1))
(+.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 x (/.f64 2 (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x)))
(*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1))
(+.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 x (/.f64 2 (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x)))
(*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x))
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
(*.f64 x (/.f64 2 (exp.f64 x)))
(/.f64 (+.f64 x x) (exp.f64 x))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 x (/.f64 2 (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x)))
(*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 x (/.f64 2 (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x)))
(*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 x (/.f64 2 (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x)))
(*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 -1 x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (neg.f64 x)))
(-.f64 (fma.f64 (pow.f64 x 3) 1/6 2) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 -1 x (*.f64 (pow.f64 x 4) -1/12))))
(+.f64 (fma.f64 (pow.f64 x 4) -1/12 (neg.f64 x)) (fma.f64 (pow.f64 x 3) 1/6 2))
(fma.f64 (pow.f64 x 3) 1/6 (-.f64 (fma.f64 (pow.f64 x 4) -1/12 2) x))
(*.f64 (exp.f64 (neg.f64 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))
(/.f64 (+.f64 x 2) (exp.f64 x))
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))
(/.f64 (+.f64 x 2) (exp.f64 x))
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))
(/.f64 (+.f64 x 2) (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) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))
(/.f64 (+.f64 x 2) (exp.f64 x))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))
(/.f64 (+.f64 x 2) (exp.f64 x))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))
(/.f64 (+.f64 x 2) (exp.f64 x))

localize145.0ms (1.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (+.f64 1 eps) 2)
✓2.4b
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))))
✓5.4b
(-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2))))
✓14.1b
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2))
Compiler

Compiled 390 to 318 computations (18.5% saved)

series13.0ms (0.1%)

Counts
4 → 60
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2))
2.0ms
eps
@0
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2))
1.0ms
eps
@0
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))))
1.0ms
eps
@inf
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2))
1.0ms
eps
@-inf
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))))

rewrite243.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
288×add-sqr-sqrt_binary64
283×pow1_binary64
280×*-un-lft-identity_binary64
269×add-log-exp_binary64
269×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025115
1588113
Stop Event
1×node limit
Counts
4 → 160
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2))
(-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))))
(pow.f64 (+.f64 1 eps) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (+.f64 1 eps) 2))) (*.f64 x x))) (*.f64 (+.f64 (*.f64 (*.f64 -1/2 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (+.f64 1 eps) 2)) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (pow.f64 (+.f64 1 eps) 2) 1/2))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (+.f64 1 eps) 2))) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 -1/2 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (+.f64 1 eps) 2)) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (pow.f64 (+.f64 1 eps) 2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 1/2 (*.f64 (/.f64 1 eps) 1/2)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 -1/2 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (+.f64 1 eps) 2)) (*.f64 x x)))))) 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(pow.f64 (+.f64 eps -1) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/4 (*.f64 (pow.f64 (+.f64 eps -1) 4) (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (pow.f64 (+.f64 1 eps) 4)) 1/4)) (*.f64 x x)) (*.f64 1/2 (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (+.f64 1 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (/.f64 1 eps) 1/2)) (pow.f64 (+.f64 eps -1) 2)) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (pow.f64 (+.f64 1 eps) 2) 1/2)) 3))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (+.f64 eps -1) 4) (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (pow.f64 (+.f64 1 eps) 2) 1/2)) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (pow.f64 (+.f64 1 eps) 2) 1/2)) (*.f64 (+.f64 1/2 (*.f64 (/.f64 1 eps) 1/2)) (pow.f64 (+.f64 eps -1) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 1/4 (*.f64 (pow.f64 (+.f64 eps -1) 4) (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))) (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (pow.f64 (+.f64 1 eps) 4)) 1/4))) (*.f64 1/2 (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (+.f64 1 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (+.f64 1 eps) 2))) (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (+.f64 1 eps) 2))) (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 (+.f64 (/.f64 1 eps) -1) 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simplify59.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
650×fma-neg_binary64
539×cancel-sign-sub-inv_binary64
492×times-frac_binary64
415×fma-def_binary64
392×associate--l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034839
189789
2258747
31321723
43568723
Stop Event
1×node limit
Counts
220 → 182
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
-1
(-.f64 (pow.f64 eps 2) 1)
(-.f64 (pow.f64 eps 2) 1)
(-.f64 (pow.f64 eps 2) 1)
(pow.f64 eps 2)
(-.f64 (pow.f64 eps 2) 1)
(-.f64 (pow.f64 eps 2) 1)
(-.f64 (pow.f64 eps 2) 1)
(pow.f64 eps 2)
(-.f64 (pow.f64 eps 2) 1)
(-.f64 (pow.f64 eps 2) 1)
(-.f64 (pow.f64 eps 2) 1)
0
0
0
0
0
0
0
0
0
0
0
0
1
(+.f64 (*.f64 2 eps) 1)
(+.f64 (*.f64 2 eps) (+.f64 (pow.f64 eps 2) 1))
(+.f64 (*.f64 2 eps) (+.f64 (pow.f64 eps 2) 1))
(pow.f64 eps 2)
(+.f64 (*.f64 2 eps) (pow.f64 eps 2))
(+.f64 (*.f64 2 eps) (+.f64 1 (pow.f64 eps 2)))
(+.f64 (*.f64 2 eps) (+.f64 1 (pow.f64 eps 2)))
(pow.f64 eps 2)
(+.f64 (*.f64 2 eps) (pow.f64 eps 2))
(+.f64 (*.f64 2 eps) (+.f64 1 (pow.f64 eps 2)))
(+.f64 (*.f64 2 eps) (+.f64 1 (pow.f64 eps 2)))
Outputs
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (*.f64 x x) (+.f64 -1 (*.f64 eps eps)))
(*.f64 x (*.f64 x (fma.f64 eps eps -1)))
(*.f64 (*.f64 x x) (fma.f64 eps eps -1))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (*.f64 x x) (+.f64 -1 (*.f64 eps eps)))
(*.f64 x (*.f64 x (fma.f64 eps eps -1)))
(*.f64 (*.f64 x x) (fma.f64 eps eps -1))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (*.f64 x x) (+.f64 -1 (*.f64 eps eps)))
(*.f64 x (*.f64 x (fma.f64 eps eps -1)))
(*.f64 (*.f64 x x) (fma.f64 eps eps -1))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 x x) (*.f64 eps eps))
(*.f64 eps (*.f64 x (*.f64 x eps)))
(*.f64 x (*.f64 eps (*.f64 x eps)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (*.f64 x x) (+.f64 -1 (*.f64 eps eps)))
(*.f64 x (*.f64 x (fma.f64 eps eps -1)))
(*.f64 (*.f64 x x) (fma.f64 eps eps -1))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (*.f64 x x) (+.f64 -1 (*.f64 eps eps)))
(*.f64 x (*.f64 x (fma.f64 eps eps -1)))
(*.f64 (*.f64 x x) (fma.f64 eps eps -1))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (*.f64 x x) (+.f64 -1 (*.f64 eps eps)))
(*.f64 x (*.f64 x (fma.f64 eps eps -1)))
(*.f64 (*.f64 x x) (fma.f64 eps eps -1))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 x x) (*.f64 eps eps))
(*.f64 eps (*.f64 x (*.f64 x eps)))
(*.f64 x (*.f64 eps (*.f64 x eps)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (*.f64 x x) (+.f64 -1 (*.f64 eps eps)))
(*.f64 x (*.f64 x (fma.f64 eps eps -1)))
(*.f64 (*.f64 x x) (fma.f64 eps eps -1))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (*.f64 x x) (+.f64 -1 (*.f64 eps eps)))
(*.f64 x (*.f64 x (fma.f64 eps eps -1)))
(*.f64 (*.f64 x x) (fma.f64 eps eps -1))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (*.f64 x x) (+.f64 -1 (*.f64 eps eps)))
(*.f64 x (*.f64 x (fma.f64 eps eps -1)))
(*.f64 (*.f64 x x) (fma.f64 eps eps -1))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 (/.f64 1 eps) -1)))))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1 (/.f64 1 eps))))))
(*.f64 x (*.f64 x (-.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 (+.f64 -1/2 (/.f64 1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps)) (*.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2) (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))))))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 (/.f64 1 eps) -1)))))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1 (/.f64 1 eps))))))
(*.f64 x (*.f64 x (-.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 (+.f64 -1/2 (/.f64 1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps)) (*.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2) (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))))))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 (/.f64 1 eps) -1)))))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1 (/.f64 1 eps))))))
(*.f64 x (*.f64 x (-.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 (+.f64 -1/2 (/.f64 1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps)) (*.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2) (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))))))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 (/.f64 1 eps) -1)))))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1 (/.f64 1 eps))))))
(*.f64 x (*.f64 x (-.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 (+.f64 -1/2 (/.f64 1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps)) (*.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2) (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))))))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 (/.f64 1 eps) -1)))))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1 (/.f64 1 eps))))))
(*.f64 x (*.f64 x (-.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 (+.f64 -1/2 (/.f64 1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps)) (*.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2) (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))))))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 (/.f64 1 eps) -1)))))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1 (/.f64 1 eps))))))
(*.f64 x (*.f64 x (-.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 (+.f64 -1/2 (/.f64 1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps)) (*.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2) (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))))))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 (/.f64 1 eps) -1)))))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1 (/.f64 1 eps))))))
(*.f64 x (*.f64 x (-.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 (+.f64 -1/2 (/.f64 1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps)) (*.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2) (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))))))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 (/.f64 1 eps) -1)))))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1 (/.f64 1 eps))))))
(*.f64 x (*.f64 x (-.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 (+.f64 -1/2 (/.f64 1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps)) (*.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2) (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))))))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 (/.f64 1 eps) -1)))))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1 (/.f64 1 eps))))))
(*.f64 x (*.f64 x (-.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 (+.f64 -1/2 (/.f64 1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps)) (*.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2) (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))))))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 (/.f64 1 eps) -1)))))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1 (/.f64 1 eps))))))
(*.f64 x (*.f64 x (-.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 (+.f64 -1/2 (/.f64 1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps)) (*.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2) (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))))))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 (/.f64 1 eps) -1)))))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1 (/.f64 1 eps))))))
(*.f64 x (*.f64 x (-.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 (+.f64 -1/2 (/.f64 1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps)) (*.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2) (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))))))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 (/.f64 1 eps) -1)))))
(*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1 (/.f64 1 eps))))))
(*.f64 x (*.f64 x (-.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 (+.f64 -1/2 (/.f64 1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps)) (*.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 x (*.f64 x (fma.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (pow.f64 (+.f64 eps 1) 2) (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))))))
-1
(-.f64 (pow.f64 eps 2) 1)
(+.f64 (*.f64 eps eps) -1)
(fma.f64 eps eps -1)
(-.f64 (pow.f64 eps 2) 1)
(+.f64 (*.f64 eps eps) -1)
(fma.f64 eps eps -1)
(-.f64 (pow.f64 eps 2) 1)
(+.f64 (*.f64 eps eps) -1)
(fma.f64 eps eps -1)
(pow.f64 eps 2)
(*.f64 eps eps)
(-.f64 (pow.f64 eps 2) 1)
(+.f64 (*.f64 eps eps) -1)
(fma.f64 eps eps -1)
(-.f64 (pow.f64 eps 2) 1)
(+.f64 (*.f64 eps eps) -1)
(fma.f64 eps eps -1)
(-.f64 (pow.f64 eps 2) 1)
(+.f64 (*.f64 eps eps) -1)
(fma.f64 eps eps -1)
(pow.f64 eps 2)
(*.f64 eps eps)
(-.f64 (pow.f64 eps 2) 1)
(+.f64 (*.f64 eps eps) -1)
(fma.f64 eps eps -1)
(-.f64 (pow.f64 eps 2) 1)
(+.f64 (*.f64 eps eps) -1)
(fma.f64 eps eps -1)
(-.f64 (pow.f64 eps 2) 1)
(+.f64 (*.f64 eps eps) -1)
(fma.f64 eps eps -1)
0
0
0
0
0
0
0
0
0
0
0
0
1
(+.f64 (*.f64 2 eps) 1)
(fma.f64 2 eps 1)
(+.f64 (*.f64 2 eps) (+.f64 (pow.f64 eps 2) 1))
(+.f64 (fma.f64 2 eps 1) (*.f64 eps eps))
(fma.f64 2 eps (fma.f64 eps eps 1))
(fma.f64 eps (+.f64 2 eps) 1)
(+.f64 (*.f64 2 eps) (+.f64 (pow.f64 eps 2) 1))
(+.f64 (fma.f64 2 eps 1) (*.f64 eps eps))
(fma.f64 2 eps (fma.f64 eps eps 1))
(fma.f64 eps (+.f64 2 eps) 1)
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (*.f64 2 eps) (pow.f64 eps 2))
(fma.f64 2 eps (*.f64 eps eps))
(*.f64 eps (+.f64 eps 2))
(*.f64 eps (+.f64 2 eps))
(+.f64 (*.f64 2 eps) (+.f64 1 (pow.f64 eps 2)))
(+.f64 (fma.f64 2 eps 1) (*.f64 eps eps))
(fma.f64 2 eps (fma.f64 eps eps 1))
(fma.f64 eps (+.f64 2 eps) 1)
(+.f64 (*.f64 2 eps) (+.f64 1 (pow.f64 eps 2)))
(+.f64 (fma.f64 2 eps 1) (*.f64 eps eps))
(fma.f64 2 eps (fma.f64 eps eps 1))
(fma.f64 eps (+.f64 2 eps) 1)
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (*.f64 2 eps) (pow.f64 eps 2))
(fma.f64 2 eps (*.f64 eps eps))
(*.f64 eps (+.f64 eps 2))
(*.f64 eps (+.f64 2 eps))
(+.f64 (*.f64 2 eps) (+.f64 1 (pow.f64 eps 2)))
(+.f64 (fma.f64 2 eps 1) (*.f64 eps eps))
(fma.f64 2 eps (fma.f64 eps eps 1))
(fma.f64 eps (+.f64 2 eps) 1)
(+.f64 (*.f64 2 eps) (+.f64 1 (pow.f64 eps 2)))
(+.f64 (fma.f64 2 eps 1) (*.f64 eps eps))
(fma.f64 2 eps (fma.f64 eps eps 1))
(fma.f64 eps (+.f64 2 eps) 1)

eval500.0ms (4.3%)

Compiler

Compiled 23825 to 17613 computations (26.1% saved)

prune195.0ms (1.7%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New5438551
Fresh257
Picked101
Done224
Total54815563
Error
0.0b
Counts
563 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
12.9b
(*.f64 1/2 (fma.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) (fma.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2 (*.f64 (/.f64 x (exp.f64 x)) (+.f64 x 1)))) (+.f64 (/.f64 x (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) (*.f64 eps (*.f64 eps (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) -1/6 (*.f64 x (*.f64 x (-.f64 (*.f64 (/.f64 1/2 (exp.f64 x)) x) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))))))))))))
▶0.4b
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
1.2b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
▶18.9b
(/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
▶16.8b
(/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x))) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) 1))) (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)))) 2)
18.6b
(*.f64 1/2 (-.f64 2 (*.f64 x x)))
✓0.4b
(/.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2)
32.2b
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
▶18.4b
(/.f64 2 2)
49.8b
(*.f64 1/2 (/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (fma.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (-.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))
29.8b
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3))))
✓44.8b
(*.f64 1/2 0)
44.5b
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
44.5b
(/.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) x)) 2)
▶18.5b
(/.f64 (+.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 x (*.f64 eps (*.f64 x eps))))) 2)
Compiler

Compiled 820 to 578 computations (29.5% saved)

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 34 to 22 computations (35.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite47.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
672×pow1_binary64
627×log1p-expm1-u_binary64
627×expm1-log1p-u_binary64
626×add-log-exp_binary64
613×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069
11258
216978
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (exp.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) x))))))

simplify60.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
805×unswap-sqr_binary64
759×fma-def_binary64
367×times-frac_binary64
314×*-commutative_binary64
295×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
025142
158140
2127137
3416130
41224127
52739127
64739127
77196127
Stop Event
1×node limit
Counts
43 → 41
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
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 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) 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 1 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) (fma.f64 -1/8 (pow.f64 x 4) 1))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x -1/8 1/3) -1/2) 1)
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize76.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))
✓0.2b
(*.f64 eps (*.f64 x eps))
2.4b
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))))
✓2.5b
(*.f64 x (*.f64 eps (*.f64 x eps)))
Compiler

Compiled 213 to 143 computations (32.9% saved)

series7.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 x (*.f64 eps (*.f64 x eps)))
1.0ms
eps
@0
(*.f64 x (*.f64 eps (*.f64 x eps)))
1.0ms
x
@inf
(*.f64 x (*.f64 eps (*.f64 x eps)))
1.0ms
eps
@inf
(*.f64 x (*.f64 eps (*.f64 x eps)))
1.0ms
eps
@0
(*.f64 eps (*.f64 x eps))

rewrite85.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
594×log-prod_binary64
336×prod-diff_binary64
294×pow2_binary64
279×fma-def_binary64
256×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01130
124327
2334927
Stop Event
1×node limit
Counts
3 → 149
Calls
Call 1
Inputs
(*.f64 x (*.f64 eps (*.f64 x eps)))
(*.f64 eps (*.f64 x eps))
(*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 x eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x eps) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x eps) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x eps) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x eps) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x eps) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x eps) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x eps) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x eps)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x eps)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 eps eps)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 eps eps)) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x eps) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 eps eps)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 eps eps)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x eps))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 eps eps))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 eps eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 eps eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 eps eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 eps eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 eps eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x eps) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 eps 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 eps eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 eps eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 eps eps))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 eps -1) (+.f64 -1 (*.f64 eps (+.f64 (pow.f64 eps -1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 eps -1) -1) (*.f64 eps (+.f64 (pow.f64 eps -1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 eps -1) -1) (*.f64 (*.f64 eps (+.f64 (pow.f64 eps -1) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (pow.f64 eps -1) -1) (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (+.f64 (pow.f64 eps -1) -1)) (+.f64 (pow.f64 eps -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 eps -1) (+.f64 eps 1)) (*.f64 -1 (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 eps 1) (pow.f64 eps -1)) (*.f64 (+.f64 eps 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 eps -1) -1)) (+.f64 eps 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 eps -1) -1)) (+.f64 eps 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 eps -1) -1)) (+.f64 eps 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 eps -1) -1)) (+.f64 eps 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 eps -1) (-.f64 1 (*.f64 eps (+.f64 (pow.f64 eps -1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (pow.f64 eps -1) -1) (+.f64 eps 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 eps -3) -1) (+.f64 1 (pow.f64 eps 3))) (*.f64 (+.f64 (pow.f64 eps -2) (+.f64 1 (pow.f64 eps -1))) (fma.f64 eps (-.f64 eps 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (pow.f64 eps 3))) (*.f64 (+.f64 1 (pow.f64 eps -1)) (fma.f64 eps (-.f64 eps 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 eps -3) -1) (-.f64 1 (*.f64 eps eps))) (*.f64 (+.f64 (pow.f64 eps -2) (+.f64 1 (pow.f64 eps -1))) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) (-.f64 1 (*.f64 eps eps))) (*.f64 (+.f64 1 (pow.f64 eps -1)) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (+.f64 (pow.f64 eps -3) -1)) (*.f64 (fma.f64 eps (-.f64 eps 1) 1) (+.f64 (pow.f64 eps -2) (+.f64 1 (pow.f64 eps -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 (pow.f64 eps -3) -1)) (*.f64 (-.f64 1 eps) (+.f64 (pow.f64 eps -2) (+.f64 1 (pow.f64 eps -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (+.f64 (pow.f64 eps -2) -1)) (*.f64 (fma.f64 eps (-.f64 eps 1) 1) (+.f64 1 (pow.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 (pow.f64 eps -2) -1)) (*.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 eps -1) -1) 3) (pow.f64 (*.f64 eps (+.f64 (pow.f64 eps -1) -1)) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 eps -1) -1) 2) (-.f64 (pow.f64 (*.f64 eps (+.f64 (pow.f64 eps -1) -1)) 2) (*.f64 (+.f64 (pow.f64 eps -1) -1) (*.f64 eps (+.f64 (pow.f64 eps -1) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 eps -1) -1) 2) (pow.f64 (*.f64 eps (+.f64 (pow.f64 eps -1) -1)) 2)) (-.f64 (+.f64 (pow.f64 eps -1) -1) (*.f64 eps (+.f64 (pow.f64 eps -1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 eps -3) -1) (+.f64 eps 1)) (+.f64 (pow.f64 eps -2) (+.f64 1 (pow.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 eps 1)) (+.f64 1 (pow.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (+.f64 (pow.f64 eps -1) -1)) (fma.f64 eps (-.f64 eps 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 (pow.f64 eps -1) -1)) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 eps -1) -1) (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 eps -1) -1) (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 eps 1) (+.f64 (pow.f64 eps -3) -1)) (+.f64 (pow.f64 eps -2) (+.f64 1 (pow.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 eps 1) (+.f64 (pow.f64 eps -2) -1)) (+.f64 1 (pow.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (pow.f64 eps -1) -1) (+.f64 eps 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 eps -1) -1) (+.f64 eps 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 eps -1) -1) (+.f64 eps 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 eps -1) -1) (+.f64 eps 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 eps -1) -1) (+.f64 eps 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 eps -1) -1) 3) (pow.f64 (+.f64 eps 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 (+.f64 (pow.f64 eps -1) -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 eps -1) -1) (+.f64 eps 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 eps -1) -1)) (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (pow.f64 eps -1) -1) (+.f64 eps 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 eps -1) -1))) (exp.f64 (*.f64 eps (+.f64 (pow.f64 eps -1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 eps (+.f64 (pow.f64 eps -1) -1))) (exp.f64 (+.f64 (pow.f64 eps -1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 eps (+.f64 (pow.f64 eps -1) -1))) (+.f64 1 (expm1.f64 (+.f64 (pow.f64 eps -1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 eps -1) -1) (+.f64 eps 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 eps -1) -1) 3) (pow.f64 (+.f64 eps 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 (+.f64 (pow.f64 eps -1) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (pow.f64 eps -1) -1) (+.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (pow.f64 eps -1) -1) (+.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 eps) (log.f64 (+.f64 (pow.f64 eps -1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 (+.f64 (pow.f64 eps -1) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (+.f64 (pow.f64 eps -1) -1) (+.f64 (pow.f64 eps -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 eps -1) (+.f64 -1 (*.f64 eps (+.f64 (pow.f64 eps -1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 eps -1) (neg.f64 (-.f64 1 (*.f64 eps (+.f64 (pow.f64 eps -1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (pow.f64 eps -1) -1) (*.f64 eps (+.f64 (pow.f64 eps -1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (pow.f64 eps -1) -1) (*.f64 (*.f64 eps (+.f64 (pow.f64 eps -1) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 eps (+.f64 (pow.f64 eps -1) -1)) (+.f64 (pow.f64 eps -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1) 1 (+.f64 -1 (*.f64 eps (+.f64 (pow.f64 eps -1) -1))))))) (#(struct:change #<rule 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-1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (+.f64 (pow.f64 eps -1) -1)) (+.f64 (pow.f64 eps -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (+.f64 -1 (*.f64 eps (+.f64 (pow.f64 eps -1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (neg.f64 (-.f64 1 (*.f64 eps (+.f64 (pow.f64 eps -1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (*.f64 (pow.f64 eps -1/2) 1) (+.f64 -1 (*.f64 eps (+.f64 (pow.f64 eps -1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (*.f64 (pow.f64 eps -1/2) 1) (neg.f64 (-.f64 1 (*.f64 eps (+.f64 (pow.f64 eps -1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (pow.f64 eps -1) -1)) (sqrt.f64 (+.f64 (pow.f64 eps -1) -1)) (*.f64 eps (+.f64 (pow.f64 eps -1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 (+.f64 (pow.f64 eps -1) -1))) (*.f64 (sqrt.f64 eps) (sqrt.f64 (+.f64 (pow.f64 eps -1) -1))) (+.f64 (pow.f64 eps -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (pow.f64 eps -1) -1) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (+.f64 (pow.f64 eps -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (pow.f64 eps -1) -1) (sqrt.f64 eps)) (sqrt.f64 eps) (+.f64 (pow.f64 eps -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (cbrt.f64 (pow.f64 (+.f64 (pow.f64 eps -1) -1) 2))) (cbrt.f64 (+.f64 (pow.f64 eps -1) -1)) (+.f64 (pow.f64 eps -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (sqrt.f64 (+.f64 (pow.f64 eps -1) -1))) (sqrt.f64 (+.f64 (pow.f64 eps -1) -1)) (+.f64 (pow.f64 eps -1) -1))))))

simplify81.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
910×fma-def_binary64
642×div-sub_binary64
499×fma-neg_binary64
486×distribute-neg-frac_binary64
311×neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013499
127481
250481
3135481
4546481
51195481
61409481
71965481
84265481
96827481
Stop Event
1×node limit
Counts
209 → 158
Calls
Call 1
Inputs
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(*.f64 (pow.f64 eps 2) x)
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) (*.f64 -1 eps))
(+.f64 (/.f64 1 eps) (*.f64 -1 eps))
(+.f64 (/.f64 1 eps) (*.f64 -1 eps))
(*.f64 -1 eps)
(+.f64 (/.f64 1 eps) (*.f64 -1 eps))
(+.f64 (/.f64 1 eps) (*.f64 -1 eps))
(+.f64 (/.f64 1 eps) (*.f64 -1 eps))
(*.f64 -1 eps)
(+.f64 (/.f64 1 eps) (*.f64 -1 eps))
(+.f64 (/.f64 1 eps) (*.f64 -1 eps))
(+.f64 (/.f64 1 eps) (*.f64 -1 eps))
Outputs
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 eps x) (*.f64 eps x))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) (*.f64 -1 eps))
(+.f64 (/.f64 1 eps) (neg.f64 eps))
(-.f64 (/.f64 1 eps) eps)
(+.f64 (/.f64 1 eps) (*.f64 -1 eps))
(+.f64 (/.f64 1 eps) (neg.f64 eps))
(-.f64 (/.f64 1 eps) eps)
(+.f64 (/.f64 1 eps) (*.f64 -1 eps))
(+.f64 (/.f64 1 eps) (neg.f64 eps))
(-.f64 (/.f64 1 eps) eps)
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (/.f64 1 eps) (*.f64 -1 eps))
(+.f64 (/.f64 1 eps) (neg.f64 eps))
(-.f64 (/.f64 1 eps) eps)
(+.f64 (/.f64 1 eps) (*.f64 -1 eps))
(+.f64 (/.f64 1 eps) (neg.f64 eps))
(-.f64 (/.f64 1 eps) eps)
(+.f64 (/.f64 1 eps) (*.f64 -1 eps))
(+.f64 (/.f64 1 eps) (neg.f64 eps))
(-.f64 (/.f64 1 eps) eps)
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (/.f64 1 eps) (*.f64 -1 eps))
(+.f64 (/.f64 1 eps) (neg.f64 eps))
(-.f64 (/.f64 1 eps) eps)
(+.f64 (/.f64 1 eps) (*.f64 -1 eps))
(+.f64 (/.f64 1 eps) (neg.f64 eps))
(-.f64 (/.f64 1 eps) eps)
(+.f64 (/.f64 1 eps) (*.f64 -1 eps))
(+.f64 (/.f64 1 eps) (neg.f64 eps))
(-.f64 (/.f64 1 eps) eps)

localize28.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 61 to 46 computations (24.6% saved)

series8.0ms (0.1%)

Counts
3 → 56
Calls

18 calls:

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

rewrite75.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
947×pow1_binary64
876×add-log-exp_binary64
876×log1p-expm1-u_binary64
876×expm1-log1p-u_binary64
115×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01132
123128
2304528
Stop Event
1×node limit
Counts
3 → 98
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(*.f64 (+.f64 eps 1) x)
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2) (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) -1)))) (#(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 -1) (+.f64 x (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 x (*.f64 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 (+.f64 eps 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 (+.f64 x (*.f64 eps x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 x (*.f64 eps x)))) (sqrt.f64 (+.f64 x (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 eps x))) 2)) (cbrt.f64 (+.f64 x (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (exp.f64 (*.f64 (+.f64 x (*.f64 eps x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 eps x)) (log.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -1) (+.f64 x (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 x (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 eps x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (+.f64 x (*.f64 eps x)) 3)) (+.f64 0 (+.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 2) (*.f64 0 (+.f64 x (*.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (+.f64 x (*.f64 eps x)) 2)) (+.f64 x (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (fma.f64 eps eps (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (neg.f64 x)) (fma.f64 eps eps (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 eps eps -1) (neg.f64 x)) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 eps x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 eps x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 x (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 (*.f64 (+.f64 x (*.f64 eps x)) 3))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2))) (+.f64 1 (exp.f64 (*.f64 (+.f64 x (*.f64 eps x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (*.f64 (+.f64 x (*.f64 eps x)) 3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2)) (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 (+.f64 x (*.f64 eps x)) 3)))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))))))

simplify56.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
625×fma-def_binary64
470×distribute-rgt-neg-out_binary64
430×distribute-lft-neg-out_binary64
418×associate-*l*_binary64
407×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
079818
1279674
2847656
34193630
Stop Event
1×node limit
Counts
154 → 139
Calls
Call 1
Inputs
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.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))))
(+.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 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
(+.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)))
x
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) 1) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (+.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)))) 1)) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (+.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)))) 1))) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
2
(+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
Outputs
(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 (*.f64 eps (exp.f64 (neg.f64 x))) x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 x (/.f64 eps (exp.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 1 (*.f64 x eps)))
(+.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 (*.f64 eps (exp.f64 (neg.f64 x))) x) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (exp.f64 (neg.f64 x))))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps (/.f64 eps (exp.f64 x)))) (exp.f64 (neg.f64 x))) (*.f64 x (/.f64 eps (exp.f64 x))))
(fma.f64 1/2 (*.f64 x (*.f64 eps (/.f64 (*.f64 x eps) (exp.f64 x)))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 1 (*.f64 x eps))))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (*.f64 (*.f64 eps (*.f64 eps 1/2)) x) eps)))
(+.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 (*.f64 eps (exp.f64 (neg.f64 x))) x) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps (/.f64 eps (exp.f64 x)))) (exp.f64 (neg.f64 x)))) (*.f64 x (/.f64 eps (exp.f64 x))))
(fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (/.f64 (pow.f64 x 3) (exp.f64 x))) (fma.f64 1/2 (*.f64 x (*.f64 eps (/.f64 (*.f64 x eps) (exp.f64 x)))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 1 (*.f64 x eps)))))
(+.f64 (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (*.f64 (*.f64 eps (*.f64 eps 1/2)) x) eps)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 -1/6 (pow.f64 x 3))) 1)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(+.f64 1 (neg.f64 (fma.f64 eps x x)))
(-.f64 1 (fma.f64 x 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))))
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps 1) 2)) (+.f64 1 (neg.f64 (fma.f64 eps x x))))
(fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (-.f64 1 (fma.f64 x eps x)))
(-.f64 (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) 1) (fma.f64 x eps x))
(+.f64 1 (*.f64 (fma.f64 x eps x) (+.f64 (*.f64 1/2 (fma.f64 x eps x)) -1)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)) (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps 1) 2)) (+.f64 1 (neg.f64 (fma.f64 eps x x)))))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)) (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (-.f64 1 (fma.f64 x eps x))))
(fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)) (-.f64 1 (fma.f64 x eps x))))
(+.f64 1 (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)) (*.f64 (fma.f64 x eps x) (+.f64 (*.f64 1/2 (fma.f64 x eps x)) -1))))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
x
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 1 (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) 1) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (fma.f64 -1 (*.f64 (*.f64 eps (exp.f64 (neg.f64 x))) x) 1) (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 1 (*.f64 x (/.f64 eps (exp.f64 x)))))
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 1 (*.f64 x eps))) 1)
(-.f64 (+.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)))) 1)) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (fma.f64 -1 (*.f64 (*.f64 eps (exp.f64 (neg.f64 x))) x) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) 1)) (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps (/.f64 eps (exp.f64 x)))) 1) (*.f64 x (/.f64 eps (exp.f64 x)))))
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 1 (*.f64 x eps))) (fma.f64 1/2 (*.f64 x (*.f64 eps (/.f64 (*.f64 x eps) (exp.f64 x)))) 1))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (*.f64 (*.f64 eps (*.f64 eps 1/2)) x) eps))))
(-.f64 (+.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)))) 1))) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (fma.f64 -1 (*.f64 (*.f64 eps (exp.f64 (neg.f64 x))) x) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) 1))) (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps (/.f64 eps (exp.f64 x)))) 1)) (*.f64 x (/.f64 eps (exp.f64 x)))))
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 1 (*.f64 x eps))) (fma.f64 1/2 (*.f64 x (*.f64 eps (/.f64 (*.f64 x eps) (exp.f64 x)))) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) (*.f64 -1/6 (pow.f64 eps 3)) 1)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (*.f64 (*.f64 eps (*.f64 eps 1/2)) x) eps)) (fma.f64 (/.f64 (pow.f64 eps 3) (exp.f64 x)) (*.f64 -1/6 (pow.f64 x 3)) 1)))
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 1 (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 1 (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 1 (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 1 (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
2
(+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(+.f64 2 (neg.f64 (fma.f64 eps x x)))
(-.f64 2 (fma.f64 x eps x))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))))
(+.f64 2 (fma.f64 -1 (fma.f64 eps x x) (*.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps 1) 2)))))
(+.f64 2 (-.f64 (*.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) (fma.f64 x eps x)))
(-.f64 (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) 2) (fma.f64 x eps x))
(+.f64 2 (*.f64 (fma.f64 x eps x) (+.f64 (*.f64 1/2 (fma.f64 x eps x)) -1)))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(+.f64 2 (fma.f64 -1 (fma.f64 eps x x) (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps 1) 2)) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3))))))
(+.f64 2 (-.f64 (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)))) (fma.f64 x eps x)))
(+.f64 2 (-.f64 (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 (pow.f64 (+.f64 eps 1) 3) (*.f64 -1/6 (pow.f64 x 3)))) (fma.f64 x eps x)))
(+.f64 (*.f64 (fma.f64 x eps x) (+.f64 (*.f64 1/2 (fma.f64 x eps x)) -1)) (fma.f64 (pow.f64 x 3) (*.f64 -1/6 (pow.f64 (+.f64 eps 1) 3)) 2))
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 1 (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 1 (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 1 (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 1 (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))

localize66.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1/6 (exp.f64 x))
✓4.1b
(fma.f64 (*.f64 eps eps) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x))) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) 1))) (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))))
✓12.3b
(/.f64 (pow.f64 x 3) (exp.f64 x))
✓12.4b
(*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))
Compiler

Compiled 197 to 98 computations (50.3% saved)

series13.0ms (0.1%)

Counts
4 → 44
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))
2.0ms
eps
@0
(fma.f64 (*.f64 eps eps) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x))) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) 1))) (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))))
1.0ms
x
@inf
(*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))
1.0ms
x
@-inf
(fma.f64 (*.f64 eps eps) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x))) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) 1))) (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))))
1.0ms
x
@-inf
(*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))

rewrite90.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
380×expm1-udef_binary64
380×log1p-udef_binary64
247×add-sqr-sqrt_binary64
238×pow1_binary64
237×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02580
153474
2682174
Stop Event
1×node limit
Counts
4 → 111
Calls
Call 1
Inputs
(*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))
(/.f64 (pow.f64 x 3) (exp.f64 x))
(fma.f64 (*.f64 eps eps) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x))) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) 1))) (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))))
(/.f64 1/6 (exp.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 x 3) 1/6) (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 3) (*.f64 (exp.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/6 (/.f64 (exp.f64 x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 x) (*.f64 (pow.f64 x 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/6) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/6) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 x 3) 1/6)) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/6) 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/6) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/6) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/6 (pow.f64 x 3)) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) -1/6) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 x 3) 1/6) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 (*.f64 1/6 (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 x 3) 1/6) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 3) 1/6) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 3) 1/6) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (exp.f64 x)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (pow.f64 x 3) 1/6) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 3) 1/6) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 x 3) 1/6) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 x 3) 1/6) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (pow.f64 x 3) 1/6)) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (pow.f64 x 3) 1/6)) x) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 x 3) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (exp.f64 x))) (pow.f64 (*.f64 x (cbrt.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 (exp.f64 x))) 2) (*.f64 x (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (exp.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 (exp.f64 x))) (*.f64 (pow.f64 x 3/2) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (pow.f64 x 3) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (*.f64 (*.f64 x x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (pow.f64 x 3) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3/2) 1) (/.f64 (pow.f64 x 3/2) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (*.f64 x (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3/2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (pow.f64 x 3/2) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (exp.f64 x))) (/.f64 x (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 3) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 3 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (*.f64 3 (log.f64 x)) x) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (exp.f64 (+.f64 x (log1p.f64 x)))) (*.f64 eps (*.f64 eps (fma.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) (*.f64 x x)) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 eps (fma.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) (*.f64 x x)) (exp.f64 x))))) (*.f64 2 (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 eps (*.f64 eps (fma.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) (*.f64 x x)) (exp.f64 x))))) 1) (*.f64 2 (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) (*.f64 x x)) (exp.f64 x))) (*.f64 2 (exp.f64 (+.f64 x (log1p.f64 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) 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eps eps) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) (*.f64 x x)) (exp.f64 x))) (*.f64 2 (exp.f64 (+.f64 x (log1p.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) (*.f64 x x)) (exp.f64 x))) (*.f64 2 (exp.f64 (+.f64 x (log1p.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) (*.f64 x x)) (exp.f64 x))) (*.f64 2 (exp.f64 (+.f64 x (log1p.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) (*.f64 x x)) (exp.f64 x))) (*.f64 2 (exp.f64 (+.f64 x (log1p.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) (*.f64 x x)) (exp.f64 x))) (*.f64 2 (exp.f64 (+.f64 x (log1p.f64 x)))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/6 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 (exp.f64 x))) (pow.f64 (cbrt.f64 (*.f64 1/6 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 (exp.f64 x))) 2) (cbrt.f64 (*.f64 1/6 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/6 (exp.f64 x))) (sqrt.f64 (*.f64 1/6 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/6 (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 x) 6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 -5/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 -5/6) x) 1))))))

simplify67.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
539×times-frac_binary64
482×fma-def_binary64
479×fma-neg_binary64
452×*-commutative_binary64
326×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0961059
12651006
2739970
32677932
46411932
Stop Event
1×node limit
Counts
155 → 155
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 5))))
(+.f64 (*.f64 -1/36 (pow.f64 x 6)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 5)))))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(pow.f64 x 3)
(+.f64 (*.f64 -1 (pow.f64 x 4)) (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 5)) (pow.f64 x 3)))
(+.f64 (*.f64 -1/6 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 5)) (pow.f64 x 3))))
(*.f64 2 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 2 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (/.f64 (pow.f64 x 2) (exp.f64 x)))))
(+.f64 (*.f64 2 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (/.f64 (pow.f64 x 2) (exp.f64 x)))))
(+.f64 (*.f64 2 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (/.f64 (pow.f64 x 2) (exp.f64 x)))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (/.f64 (pow.f64 x 2) (exp.f64 x))))
(+.f64 (*.f64 2 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (/.f64 (pow.f64 x 2) (exp.f64 x)))))
(+.f64 (*.f64 2 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (/.f64 (pow.f64 x 2) (exp.f64 x)))))
(+.f64 (*.f64 2 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (/.f64 (pow.f64 x 2) (exp.f64 x)))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (/.f64 (pow.f64 x 2) (exp.f64 x))))
(+.f64 (*.f64 2 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (/.f64 (pow.f64 x 2) (exp.f64 x)))))
(+.f64 (*.f64 2 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (/.f64 (pow.f64 x 2) (exp.f64 x)))))
(+.f64 (*.f64 2 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (/.f64 (pow.f64 x 2) (exp.f64 x)))))
2
(+.f64 2 (*.f64 (-.f64 (pow.f64 eps 2) 1) (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 (+.f64 2/3 (*.f64 -2/3 (pow.f64 eps 2))) (pow.f64 x 3)) (*.f64 (-.f64 (pow.f64 eps 2) 1) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 2)) 1/4) (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 (+.f64 2/3 (*.f64 -2/3 (pow.f64 eps 2))) (pow.f64 x 3)) (*.f64 (-.f64 (pow.f64 eps 2) 1) (pow.f64 x 2)))))
(*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)) (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) x))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)) (+.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 2 (exp.f64 (neg.f64 x))))))
(*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (+.f64 (*.f64 2 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (+.f64 (*.f64 2 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)) (*.f64 2 (exp.f64 (*.f64 -1 x))))))
1/6
(+.f64 1/6 (*.f64 -1/6 x))
(+.f64 1/6 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 -1/6 x)))
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 1/6 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 -1/6 x))))
Outputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 x 4)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/6 (pow.f64 x 4)))
(*.f64 (pow.f64 x 3) (fma.f64 x -1/6 1/6))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/6 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 5))))
(fma.f64 1/12 (pow.f64 x 5) (*.f64 (pow.f64 x 3) (fma.f64 x -1/6 1/6)))
(+.f64 (*.f64 -1/36 (pow.f64 x 6)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 5)))))
(fma.f64 -1/36 (pow.f64 x 6) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/6 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 5)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/36 (pow.f64 x 6) (fma.f64 -1/6 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 5)))))
(fma.f64 -1/36 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 5) (*.f64 (pow.f64 x 3) (fma.f64 x -1/6 1/6))))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))
(*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))
(pow.f64 x 3)
(+.f64 (*.f64 -1 (pow.f64 x 4)) (pow.f64 x 3))
(fma.f64 -1 (pow.f64 x 4) (pow.f64 x 3))
(-.f64 (pow.f64 x 3) (pow.f64 x 4))
(+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 5)) (pow.f64 x 3)))
(fma.f64 -1 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 5) (pow.f64 x 3)))
(-.f64 (fma.f64 (pow.f64 x 5) 1/2 (pow.f64 x 3)) (pow.f64 x 4))
(fma.f64 1/2 (pow.f64 x 5) (-.f64 (pow.f64 x 3) (pow.f64 x 4)))
(+.f64 (*.f64 -1/6 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 5)) (pow.f64 x 3))))
(fma.f64 -1/6 (pow.f64 x 6) (fma.f64 -1 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 5) (pow.f64 x 3))))
(fma.f64 -1/6 (pow.f64 x 6) (-.f64 (fma.f64 (pow.f64 x 5) 1/2 (pow.f64 x 3)) (pow.f64 x 4)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 6) (fma.f64 (pow.f64 x 5) 1/2 (pow.f64 x 3))) (pow.f64 x 4))
(fma.f64 -1/6 (pow.f64 x 6) (fma.f64 1/2 (pow.f64 x 5) (-.f64 (pow.f64 x 3) (pow.f64 x 4))))
(*.f64 2 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x))))
(*.f64 2 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x)))
(/.f64 (fma.f64 x 2 2) (exp.f64 x))
(+.f64 (*.f64 2 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (/.f64 (pow.f64 x 2) (exp.f64 x)))))
(fma.f64 2 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (*.f64 x x) (exp.f64 x)))))
(fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x))) (*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x))))
(fma.f64 eps (*.f64 eps (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x)))) (/.f64 (fma.f64 x 2 2) (exp.f64 x)))
(+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(+.f64 (*.f64 2 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (/.f64 (pow.f64 x 2) (exp.f64 x)))))
(fma.f64 2 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (*.f64 x x) (exp.f64 x)))))
(fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x))) (*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x))))
(fma.f64 eps (*.f64 eps (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x)))) (/.f64 (fma.f64 x 2 2) (exp.f64 x)))
(+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(+.f64 (*.f64 2 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (/.f64 (pow.f64 x 2) (exp.f64 x)))))
(fma.f64 2 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (*.f64 x x) (exp.f64 x)))))
(fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x))) (*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x))))
(fma.f64 eps (*.f64 eps (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x)))) (/.f64 (fma.f64 x 2 2) (exp.f64 x)))
(+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (/.f64 (pow.f64 x 2) (exp.f64 x))))
(*.f64 (*.f64 eps eps) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (*.f64 x x) (exp.f64 x))))
(*.f64 eps (*.f64 eps (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x)))))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x)))
(+.f64 (*.f64 2 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (/.f64 (pow.f64 x 2) (exp.f64 x)))))
(fma.f64 2 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (*.f64 x x) (exp.f64 x)))))
(fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x))) (*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x))))
(fma.f64 eps (*.f64 eps (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x)))) (/.f64 (fma.f64 x 2 2) (exp.f64 x)))
(+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(+.f64 (*.f64 2 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (/.f64 (pow.f64 x 2) (exp.f64 x)))))
(fma.f64 2 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (*.f64 x x) (exp.f64 x)))))
(fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x))) (*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x))))
(fma.f64 eps (*.f64 eps (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x)))) (/.f64 (fma.f64 x 2 2) (exp.f64 x)))
(+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(+.f64 (*.f64 2 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (/.f64 (pow.f64 x 2) (exp.f64 x)))))
(fma.f64 2 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (*.f64 x x) (exp.f64 x)))))
(fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x))) (*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x))))
(fma.f64 eps (*.f64 eps (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x)))) (/.f64 (fma.f64 x 2 2) (exp.f64 x)))
(+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (/.f64 (pow.f64 x 2) (exp.f64 x))))
(*.f64 (*.f64 eps eps) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (*.f64 x x) (exp.f64 x))))
(*.f64 eps (*.f64 eps (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x)))))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x)))
(+.f64 (*.f64 2 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (/.f64 (pow.f64 x 2) (exp.f64 x)))))
(fma.f64 2 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (*.f64 x x) (exp.f64 x)))))
(fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x))) (*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x))))
(fma.f64 eps (*.f64 eps (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x)))) (/.f64 (fma.f64 x 2 2) (exp.f64 x)))
(+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(+.f64 (*.f64 2 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (/.f64 (pow.f64 x 2) (exp.f64 x)))))
(fma.f64 2 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (*.f64 x x) (exp.f64 x)))))
(fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x))) (*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x))))
(fma.f64 eps (*.f64 eps (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x)))) (/.f64 (fma.f64 x 2 2) (exp.f64 x)))
(+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(+.f64 (*.f64 2 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x))) (/.f64 (pow.f64 x 2) (exp.f64 x)))))
(fma.f64 2 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (*.f64 x x) (exp.f64 x)))))
(fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x))) (*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x))))
(fma.f64 eps (*.f64 eps (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x)))) (/.f64 (fma.f64 x 2 2) (exp.f64 x)))
(+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
2
(+.f64 2 (*.f64 (-.f64 (pow.f64 eps 2) 1) (pow.f64 x 2)))
(+.f64 2 (*.f64 (*.f64 x x) (+.f64 (*.f64 eps eps) -1)))
(fma.f64 (*.f64 x x) (fma.f64 eps eps -1) 2)
(fma.f64 x (*.f64 x (fma.f64 eps eps -1)) 2)
(+.f64 2 (+.f64 (*.f64 (+.f64 2/3 (*.f64 -2/3 (pow.f64 eps 2))) (pow.f64 x 3)) (*.f64 (-.f64 (pow.f64 eps 2) 1) (pow.f64 x 2))))
(+.f64 2 (fma.f64 (+.f64 2/3 (*.f64 (*.f64 eps eps) -2/3)) (pow.f64 x 3) (*.f64 (*.f64 x x) (+.f64 (*.f64 eps eps) -1))))
(+.f64 2 (fma.f64 (pow.f64 x 3) (fma.f64 (*.f64 eps eps) -2/3 2/3) (*.f64 (*.f64 x x) (fma.f64 eps eps -1))))
(fma.f64 x (*.f64 x (fma.f64 eps eps -1)) (fma.f64 (pow.f64 x 3) (fma.f64 eps (*.f64 eps -2/3) 2/3) 2))
(fma.f64 x (*.f64 x (fma.f64 eps eps -1)) (fma.f64 (pow.f64 x 3) (fma.f64 (*.f64 eps eps) -2/3 2/3) 2))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 eps 2)) 1/4) (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 (+.f64 2/3 (*.f64 -2/3 (pow.f64 eps 2))) (pow.f64 x 3)) (*.f64 (-.f64 (pow.f64 eps 2) 1) (pow.f64 x 2)))))
(fma.f64 (fma.f64 1/6 (*.f64 eps eps) -1/4) (pow.f64 x 4) (+.f64 2 (fma.f64 (+.f64 2/3 (*.f64 (*.f64 eps eps) -2/3)) (pow.f64 x 3) (*.f64 (*.f64 x x) (+.f64 (*.f64 eps eps) -1)))))
(fma.f64 (pow.f64 x 4) (fma.f64 1/6 (*.f64 eps eps) -1/4) (+.f64 2 (fma.f64 (pow.f64 x 3) (fma.f64 (*.f64 eps eps) -2/3 2/3) (*.f64 (*.f64 x x) (fma.f64 eps eps -1)))))
(fma.f64 (pow.f64 x 4) (fma.f64 1/6 (*.f64 eps eps) -1/4) (fma.f64 x (*.f64 x (fma.f64 eps eps -1)) (fma.f64 (pow.f64 x 3) (fma.f64 eps (*.f64 eps -2/3) 2/3) 2)))
(fma.f64 (pow.f64 x 4) (fma.f64 1/6 (*.f64 eps eps) -1/4) (fma.f64 x (*.f64 x (fma.f64 eps eps -1)) (fma.f64 (pow.f64 x 3) (fma.f64 (*.f64 eps eps) -2/3 2/3) 2)))
(*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (pow.f64 x 3))))
(*.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) (*.f64 1/3 (*.f64 eps eps)))
(*.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) (*.f64 eps (*.f64 eps 1/3)))
(*.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) (*.f64 (*.f64 eps eps) 1/3))
(*.f64 (pow.f64 x 3) (*.f64 1/3 (*.f64 (/.f64 eps (exp.f64 x)) eps)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 (*.f64 eps eps) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (*.f64 x x) (exp.f64 x))))
(*.f64 eps (*.f64 eps (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x)))))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)) (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) x))))
(fma.f64 1/3 (/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (pow.f64 x 3))) (fma.f64 2 (*.f64 x (exp.f64 (neg.f64 x))) (/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (*.f64 x x)))))
(+.f64 (*.f64 eps (*.f64 eps (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x))))) (*.f64 x (/.f64 2 (exp.f64 x))))
(fma.f64 eps (*.f64 eps (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x)))) (*.f64 x (/.f64 2 (exp.f64 x))))
(fma.f64 x (/.f64 2 (exp.f64 x)) (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(fma.f64 x (/.f64 2 (exp.f64 x)) (*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)) (+.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 2 (exp.f64 (neg.f64 x))))))
(fma.f64 2 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (*.f64 x x) (exp.f64 x)))))
(fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x))) (*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x))))
(fma.f64 eps (*.f64 eps (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x)))) (/.f64 (fma.f64 x 2 2) (exp.f64 x)))
(+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (pow.f64 x 3))))
(*.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) (*.f64 1/3 (*.f64 eps eps)))
(*.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) (*.f64 eps (*.f64 eps 1/3)))
(*.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) (*.f64 (*.f64 eps eps) 1/3))
(*.f64 (pow.f64 x 3) (*.f64 1/3 (*.f64 (/.f64 eps (exp.f64 x)) eps)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 (*.f64 eps eps) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (*.f64 x x) (exp.f64 x))))
(*.f64 eps (*.f64 eps (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x)))))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (+.f64 (*.f64 2 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x))))
(fma.f64 1/3 (/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (pow.f64 x 3))) (fma.f64 2 (*.f64 x (exp.f64 (neg.f64 x))) (/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (*.f64 x x)))))
(+.f64 (*.f64 eps (*.f64 eps (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x))))) (*.f64 x (/.f64 2 (exp.f64 x))))
(fma.f64 eps (*.f64 eps (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x)))) (*.f64 x (/.f64 2 (exp.f64 x))))
(fma.f64 x (/.f64 2 (exp.f64 x)) (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(fma.f64 x (/.f64 2 (exp.f64 x)) (*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (+.f64 (*.f64 2 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)) (*.f64 2 (exp.f64 (*.f64 -1 x))))))
(fma.f64 2 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (exp.f64 x)) (/.f64 (*.f64 x x) (exp.f64 x)))))
(fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x))) (*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x))))
(fma.f64 eps (*.f64 eps (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/3 (/.f64 x (/.f64 (exp.f64 x) x)))) (/.f64 (fma.f64 x 2 2) (exp.f64 x)))
(+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
(+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))))
1/6
(+.f64 1/6 (*.f64 -1/6 x))
(+.f64 1/6 (*.f64 x -1/6))
(fma.f64 x -1/6 1/6)
(+.f64 1/6 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 -1/6 x)))
(+.f64 1/6 (fma.f64 1/12 (*.f64 x x) (*.f64 x -1/6)))
(+.f64 1/6 (fma.f64 x -1/6 (*.f64 x (*.f64 x 1/12))))
(fma.f64 x -1/6 (fma.f64 x (*.f64 x 1/12) 1/6))
(fma.f64 x (*.f64 x 1/12) (fma.f64 x -1/6 1/6))
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 1/6 (+.f64 (*.f64 1/12 (pow.f64 x 2)) (*.f64 -1/6 x))))
(fma.f64 -1/36 (pow.f64 x 3) (+.f64 1/6 (fma.f64 1/12 (*.f64 x x) (*.f64 x -1/6))))
(+.f64 (fma.f64 x -1/6 (*.f64 x (*.f64 x 1/12))) (fma.f64 (pow.f64 x 3) -1/36 1/6))
(fma.f64 (pow.f64 x 3) -1/36 (fma.f64 x -1/6 (fma.f64 x (*.f64 x 1/12) 1/6)))
(fma.f64 (pow.f64 x 3) -1/36 (fma.f64 x (*.f64 x 1/12) (fma.f64 x -1/6 1/6)))

eval363.0ms (3.1%)

Compiler

Compiled 18635 to 12062 computations (35.3% saved)

prune128.0ms (1.1%)

Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New5347541
Fresh268
Picked101
Done246
Total53917556
Error
0.0b
Counts
556 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
18.5b
(/.f64 (+.f64 2 (+.f64 (*.f64 0 x) (*.f64 x (*.f64 eps (*.f64 x eps))))) 2)
✓0.4b
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
1.2b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
49.8b
(*.f64 1/2 (/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (fma.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (-.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))
▶16.8b
(/.f64 (+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x)))) 2)
▶32.2b
(/.f64 (+.f64 2 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))))) x) (*.f64 x (*.f64 eps (*.f64 x eps))))) 2)
29.8b
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3))))
18.8b
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) 1) 2)
▶0.5b
(/.f64 (*.f64 2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))) 2)
✓44.8b
(*.f64 1/2 0)
▶18.6b
(*.f64 1/2 (-.f64 2 (*.f64 x x)))
✓0.4b
(/.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2)
18.7b
(/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2)
▶44.5b
(/.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) x)) 2)
✓18.4b
(/.f64 2 2)
44.5b
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
19.3b
(/.f64 (+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) 2)
Compiler

Compiled 687 to 527 computations (23.3% saved)

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))
✓0.0b
(*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x)))
✓0.2b
(cbrt.f64 (+.f64 x 1))
✓0.2b
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
Compiler

Compiled 82 to 56 computations (31.7% saved)

series7.0ms (0.1%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
1.0ms
x
@-inf
(*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x)))
1.0ms
x
@inf
(*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x)))
1.0ms
x
@0
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)

rewrite73.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
887×pow1_binary64
825×add-log-exp_binary64
825×log1p-expm1-u_binary64
825×expm1-log1p-u_binary64
807×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01139
122634
2269434
Stop Event
1×node limit
Counts
4 → 71
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
(cbrt.f64 (+.f64 x 1))
(*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/6) (*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (*.f64 (log1p.f64 x) 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (+.f64 x 1) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (*.f64 (log1p.f64 x) 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (+.f64 (log1p.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (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)) (exp.f64 x)) (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 pow.f64 (exp.f64 (+.f64 (log1p.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x)) 3) (pow.f64 (+.f64 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 x) x))))))

simplify71.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
834×fma-def_binary64
750×distribute-lft-out_binary64
412×distribute-rgt-out_binary64
410×associate-*l*_binary64
303×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060271
1146249
2356236
31104199
43256199
54658199
67039199
Stop Event
1×node limit
Counts
95 → 102
Calls
Call 1
Inputs
1
(+.f64 (*.f64 2/3 x) 1)
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) 1))
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 4/81 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x))))
1
(+.f64 1 (*.f64 -2/3 x))
(+.f64 1 (+.f64 (*.f64 -2/3 x) (*.f64 1/18 (pow.f64 x 2))))
(+.f64 (*.f64 14/81 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -2/3 x) (*.f64 1/18 (pow.f64 x 2)))))
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)))
Outputs
1
(+.f64 (*.f64 2/3 x) 1)
(fma.f64 2/3 x 1)
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) 1))
(fma.f64 2/3 x (fma.f64 -1/9 (*.f64 x x) 1))
(fma.f64 2/3 x (fma.f64 x (*.f64 x -1/9) 1))
(fma.f64 x (fma.f64 x -1/9 2/3) 1)
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 4/81 (pow.f64 x 3)))))
(fma.f64 2/3 x (+.f64 (fma.f64 -1/9 (*.f64 x x) 1) (*.f64 4/81 (pow.f64 x 3))))
(fma.f64 2/3 x (fma.f64 -1/9 (*.f64 x x) (fma.f64 4/81 (pow.f64 x 3) 1)))
(fma.f64 2/3 x (fma.f64 x (*.f64 x -1/9) (fma.f64 4/81 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 x -1/9 2/3) (fma.f64 4/81 (pow.f64 x 3) 1))
(fma.f64 (*.f64 x x) (fma.f64 x 4/81 -1/9) (fma.f64 2/3 x 1))
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 1 (*.f64 x 1/3))
(fma.f64 x 1/3 1)
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 x)))
(fma.f64 -1/9 (*.f64 x x) (+.f64 1 (*.f64 x 1/3)))
(fma.f64 -1/9 (*.f64 x x) (fma.f64 x 1/3 1))
(fma.f64 x (*.f64 x -1/9) (fma.f64 x 1/3 1))
(fma.f64 x (fma.f64 x -1/9 1/3) 1)
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x))))
(+.f64 (fma.f64 -1/9 (*.f64 x x) 1) (fma.f64 5/81 (pow.f64 x 3) (*.f64 x 1/3)))
(+.f64 (fma.f64 -1/9 (*.f64 x x) 1) (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) 5/81)))
(fma.f64 x (*.f64 x -1/9) (fma.f64 x 1/3 (fma.f64 (pow.f64 x 3) 5/81 1)))
(fma.f64 (pow.f64 x 3) 5/81 (fma.f64 x (fma.f64 x -1/9 1/3) 1))
1
(+.f64 1 (*.f64 -2/3 x))
(+.f64 1 (*.f64 x -2/3))
(fma.f64 x -2/3 1)
(+.f64 1 (+.f64 (*.f64 -2/3 x) (*.f64 1/18 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -2/3 x (*.f64 (*.f64 x x) 1/18)))
(+.f64 (fma.f64 x -2/3 1) (*.f64 x (*.f64 x 1/18)))
(fma.f64 x -2/3 (fma.f64 x (*.f64 x 1/18) 1))
(fma.f64 x (fma.f64 x 1/18 -2/3) 1)
(+.f64 (*.f64 14/81 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -2/3 x) (*.f64 1/18 (pow.f64 x 2)))))
(fma.f64 14/81 (pow.f64 x 3) (+.f64 1 (fma.f64 -2/3 x (*.f64 (*.f64 x x) 1/18))))
(+.f64 (fma.f64 x -2/3 (*.f64 x (*.f64 x 1/18))) (fma.f64 (pow.f64 x 3) 14/81 1))
(fma.f64 (pow.f64 x 3) 14/81 (fma.f64 x -2/3 (fma.f64 x (*.f64 x 1/18) 1)))
(fma.f64 x (fma.f64 x 1/18 -2/3) (fma.f64 (pow.f64 x 3) 14/81 1))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 x (*.f64 x -1/2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 3) 1/3)))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (*.f64 (pow.f64 x 3) 1/3)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 3) 1/3 1))
(fma.f64 (*.f64 x 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 1 (fma.f64 (*.f64 x x) -1/2 (fma.f64 (pow.f64 x 3) 1/3 (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))))
(fma.f64 -1/8 (pow.f64 x 4) (fma.f64 (*.f64 x x) (fma.f64 x 1/3 -1/2) 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 x 1) (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 x 1) (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 x 1) (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 x 1) (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 x 1) (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 x 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))

localize8.0ms (0.1%)

Compiler

Compiled 20 to 11 computations (45% saved)

localize117.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))))
✓0.7b
(+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)))))
✓0.8b
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))))) x) (*.f64 x (*.f64 eps (*.f64 x eps))))
2.5b
(*.f64 x (*.f64 eps (*.f64 x eps)))
Compiler

Compiled 340 to 242 computations (28.8% saved)

series7.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

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

rewrite71.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
255×add-sqr-sqrt_binary64
251×*-un-lft-identity_binary64
251×pow1_binary64
237×add-cbrt-cube_binary64
236×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020126
148684
Stop Event
1×node limit
Counts
3 → 125
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))))) x) (*.f64 x (*.f64 eps (*.f64 x eps))))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)))))
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) 3)) x (pow.f64 (*.f64 eps x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) 3)) x) 2) (-.f64 (*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) 3)) x) (pow.f64 (*.f64 eps x) 2))) (/.f64 (pow.f64 (pow.f64 (*.f64 eps x) 2) 2) (-.f64 (*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) 3)) x) (pow.f64 (*.f64 eps x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) 3)) x (pow.f64 (*.f64 eps x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 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(/.f64 1 eps)) (+.f64 eps -1) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) 3)) x (pow.f64 (*.f64 eps x) 2))) 2) (cbrt.f64 (fma.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) 3)) x (pow.f64 (*.f64 eps x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 eps x) (sqrt.f64 (*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) 3)) x))) (hypot.f64 (*.f64 eps x) (sqrt.f64 (*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) 3)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) 3)) x) 3) (pow.f64 (pow.f64 (*.f64 eps x) 2) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) 3)) x) 2) 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simplify57.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
832×times-frac_binary64
503×distribute-rgt-in_binary64
472×distribute-lft-in_binary64
426×cancel-sign-sub-inv_binary64
417×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
046983
1127837
2333776
31401743
45017713
Stop Event
1×node limit
Counts
173 → 150
Calls
Call 1
Inputs
(*.f64 2 (/.f64 x eps))
(+.f64 (*.f64 -2 (*.f64 eps x)) (*.f64 2 (/.f64 x eps)))
(+.f64 (*.f64 -2 (*.f64 eps x)) (+.f64 (*.f64 2 (/.f64 x eps)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (*.f64 -2 (*.f64 eps x)) (+.f64 (*.f64 2 (/.f64 x eps)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(+.f64 (*.f64 -2 (*.f64 eps x)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 -2 (*.f64 eps x)) (+.f64 (*.f64 2 (/.f64 x eps)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (*.f64 -2 (*.f64 eps x)) (+.f64 (*.f64 2 (/.f64 x eps)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(+.f64 (*.f64 -2 (*.f64 eps x)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 -2 (*.f64 eps x)) (+.f64 (*.f64 2 (/.f64 x eps)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (*.f64 -2 (*.f64 eps x)) (+.f64 (*.f64 2 (/.f64 x eps)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(*.f64 (+.f64 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)) (+.f64 (*.f64 2 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1))) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)))) x)
(+.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)) (+.f64 (*.f64 2 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1))) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)))) x))
(+.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)) (+.f64 (*.f64 2 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1))) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)))) x))
(+.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)) (+.f64 (*.f64 2 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1))) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)))) x))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)))) x) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)))) x) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)))) x) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)))) x) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)))) x) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)))) x) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(/.f64 2 eps)
(+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 eps))
(+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 eps))
(+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 eps))
(*.f64 -2 eps)
(+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 eps))
(+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 eps))
(+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 eps))
(*.f64 -2 eps)
(+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 eps))
(+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 eps))
(+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 eps))
(/.f64 3 eps)
(+.f64 (*.f64 3 (/.f64 1 eps)) (*.f64 -3 eps))
(+.f64 (*.f64 3 (/.f64 1 eps)) (*.f64 -3 eps))
(+.f64 (*.f64 3 (/.f64 1 eps)) (*.f64 -3 eps))
(*.f64 -3 eps)
(+.f64 (*.f64 3 (/.f64 1 eps)) (*.f64 -3 eps))
(+.f64 (*.f64 3 (/.f64 1 eps)) (*.f64 -3 eps))
(+.f64 (*.f64 3 (/.f64 1 eps)) (*.f64 -3 eps))
(*.f64 -3 eps)
(+.f64 (*.f64 3 (/.f64 1 eps)) (*.f64 -3 eps))
(+.f64 (*.f64 3 (/.f64 1 eps)) (*.f64 -3 eps))
(+.f64 (*.f64 3 (/.f64 1 eps)) (*.f64 -3 eps))
Outputs
(*.f64 2 (/.f64 x eps))
(/.f64 2 (/.f64 eps x))
(/.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 -2 (*.f64 eps x)) (*.f64 2 (/.f64 x eps)))
(fma.f64 -2 (*.f64 x eps) (*.f64 2 (/.f64 x eps)))
(fma.f64 2 (/.f64 x eps) (*.f64 x (*.f64 eps -2)))
(fma.f64 x (*.f64 eps -2) (/.f64 2 (/.f64 eps x)))
(*.f64 x (fma.f64 eps -2 (/.f64 2 eps)))
(+.f64 (*.f64 -2 (*.f64 eps x)) (+.f64 (*.f64 2 (/.f64 x eps)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(fma.f64 -2 (*.f64 x eps) (fma.f64 2 (/.f64 x eps) (*.f64 (*.f64 eps eps) (*.f64 x x))))
(fma.f64 -2 (*.f64 x eps) (fma.f64 2 (/.f64 x eps) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(fma.f64 2 (/.f64 x eps) (*.f64 (*.f64 x eps) (+.f64 -2 (*.f64 x eps))))
(+.f64 (*.f64 -2 (*.f64 eps x)) (+.f64 (*.f64 2 (/.f64 x eps)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(fma.f64 -2 (*.f64 x eps) (fma.f64 2 (/.f64 x eps) (*.f64 (*.f64 eps eps) (*.f64 x x))))
(fma.f64 -2 (*.f64 x eps) (fma.f64 2 (/.f64 x eps) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(fma.f64 2 (/.f64 x eps) (*.f64 (*.f64 x eps) (+.f64 -2 (*.f64 x eps))))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(+.f64 (*.f64 -2 (*.f64 eps x)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(fma.f64 -2 (*.f64 x eps) (*.f64 (*.f64 eps eps) (*.f64 x x)))
(fma.f64 -2 (*.f64 x eps) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 (*.f64 x eps) (+.f64 -2 (*.f64 x eps)))
(+.f64 (*.f64 -2 (*.f64 eps x)) (+.f64 (*.f64 2 (/.f64 x eps)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(fma.f64 -2 (*.f64 x eps) (fma.f64 2 (/.f64 x eps) (*.f64 (*.f64 eps eps) (*.f64 x x))))
(fma.f64 -2 (*.f64 x eps) (fma.f64 2 (/.f64 x eps) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(fma.f64 2 (/.f64 x eps) (*.f64 (*.f64 x eps) (+.f64 -2 (*.f64 x eps))))
(+.f64 (*.f64 -2 (*.f64 eps x)) (+.f64 (*.f64 2 (/.f64 x eps)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(fma.f64 -2 (*.f64 x eps) (fma.f64 2 (/.f64 x eps) (*.f64 (*.f64 eps eps) (*.f64 x x))))
(fma.f64 -2 (*.f64 x eps) (fma.f64 2 (/.f64 x eps) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(fma.f64 2 (/.f64 x eps) (*.f64 (*.f64 x eps) (+.f64 -2 (*.f64 x eps))))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(+.f64 (*.f64 -2 (*.f64 eps x)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(fma.f64 -2 (*.f64 x eps) (*.f64 (*.f64 eps eps) (*.f64 x x)))
(fma.f64 -2 (*.f64 x eps) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 (*.f64 x eps) (+.f64 -2 (*.f64 x eps)))
(+.f64 (*.f64 -2 (*.f64 eps x)) (+.f64 (*.f64 2 (/.f64 x eps)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(fma.f64 -2 (*.f64 x eps) (fma.f64 2 (/.f64 x eps) (*.f64 (*.f64 eps eps) (*.f64 x x))))
(fma.f64 -2 (*.f64 x eps) (fma.f64 2 (/.f64 x eps) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(fma.f64 2 (/.f64 x eps) (*.f64 (*.f64 x eps) (+.f64 -2 (*.f64 x eps))))
(+.f64 (*.f64 -2 (*.f64 eps x)) (+.f64 (*.f64 2 (/.f64 x eps)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(fma.f64 -2 (*.f64 x eps) (fma.f64 2 (/.f64 x eps) (*.f64 (*.f64 eps eps) (*.f64 x x))))
(fma.f64 -2 (*.f64 x eps) (fma.f64 2 (/.f64 x eps) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(fma.f64 2 (/.f64 x eps) (*.f64 (*.f64 x eps) (+.f64 -2 (*.f64 x eps))))
(*.f64 (+.f64 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)) (+.f64 (*.f64 2 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1))) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)))) x)
(*.f64 x (fma.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1) (fma.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)))))
(*.f64 x (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (*.f64 3 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)))))
(*.f64 x (fma.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 3 (+.f64 eps 1)) (+.f64 (+.f64 eps -1) (/.f64 (+.f64 eps -1) eps))))
(*.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 3 eps) -3))))
(*.f64 x (fma.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 eps -1) (*.f64 (-.f64 (/.f64 1 eps) eps) 3)))
(+.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)) (+.f64 (*.f64 2 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1))) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)))) x))
(fma.f64 (*.f64 eps eps) (*.f64 x x) (*.f64 x (fma.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1) (fma.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1))))))
(fma.f64 x (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (*.f64 3 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)))) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 3 (+.f64 eps 1)) (+.f64 (+.f64 eps -1) (/.f64 (+.f64 eps -1) eps))) (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 3 eps) -3))) (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 eps -1) (*.f64 (-.f64 (/.f64 1 eps) eps) 3)) (*.f64 x (*.f64 eps eps))))
(+.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)) (+.f64 (*.f64 2 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1))) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)))) x))
(fma.f64 (*.f64 eps eps) (*.f64 x x) (*.f64 x (fma.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1) (fma.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1))))))
(fma.f64 x (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (*.f64 3 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)))) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 3 (+.f64 eps 1)) (+.f64 (+.f64 eps -1) (/.f64 (+.f64 eps -1) eps))) (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 3 eps) -3))) (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 eps -1) (*.f64 (-.f64 (/.f64 1 eps) eps) 3)) (*.f64 x (*.f64 eps eps))))
(+.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)) (+.f64 (*.f64 2 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1))) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)))) x))
(fma.f64 (*.f64 eps eps) (*.f64 x x) (*.f64 x (fma.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1) (fma.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1))))))
(fma.f64 x (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (*.f64 3 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)))) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 3 (+.f64 eps 1)) (+.f64 (+.f64 eps -1) (/.f64 (+.f64 eps -1) eps))) (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 3 eps) -3))) (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 eps -1) (*.f64 (-.f64 (/.f64 1 eps) eps) 3)) (*.f64 x (*.f64 eps eps))))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)))) x) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(fma.f64 (*.f64 eps eps) (*.f64 x x) (*.f64 x (fma.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1) (fma.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1))))))
(fma.f64 x (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (*.f64 3 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)))) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 3 (+.f64 eps 1)) (+.f64 (+.f64 eps -1) (/.f64 (+.f64 eps -1) eps))) (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 3 eps) -3))) (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 eps -1) (*.f64 (-.f64 (/.f64 1 eps) eps) 3)) (*.f64 x (*.f64 eps eps))))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)))) x) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(fma.f64 (*.f64 eps eps) (*.f64 x x) (*.f64 x (fma.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1) (fma.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1))))))
(fma.f64 x (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (*.f64 3 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)))) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 3 (+.f64 eps 1)) (+.f64 (+.f64 eps -1) (/.f64 (+.f64 eps -1) eps))) (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 3 eps) -3))) (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 eps -1) (*.f64 (-.f64 (/.f64 1 eps) eps) 3)) (*.f64 x (*.f64 eps eps))))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)))) x) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(fma.f64 (*.f64 eps eps) (*.f64 x x) (*.f64 x (fma.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1) (fma.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1))))))
(fma.f64 x (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (*.f64 3 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)))) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 3 (+.f64 eps 1)) (+.f64 (+.f64 eps -1) (/.f64 (+.f64 eps -1) eps))) (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 3 eps) -3))) (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 eps -1) (*.f64 (-.f64 (/.f64 1 eps) eps) 3)) (*.f64 x (*.f64 eps eps))))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)))) x) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(fma.f64 (*.f64 eps eps) (*.f64 x x) (*.f64 x (fma.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1) (fma.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1))))))
(fma.f64 x (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (*.f64 3 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)))) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 3 (+.f64 eps 1)) (+.f64 (+.f64 eps -1) (/.f64 (+.f64 eps -1) eps))) (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 3 eps) -3))) (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 eps -1) (*.f64 (-.f64 (/.f64 1 eps) eps) 3)) (*.f64 x (*.f64 eps eps))))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)))) x) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(fma.f64 (*.f64 eps eps) (*.f64 x x) (*.f64 x (fma.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1) (fma.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1))))))
(fma.f64 x (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (*.f64 3 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)))) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 3 (+.f64 eps 1)) (+.f64 (+.f64 eps -1) (/.f64 (+.f64 eps -1) eps))) (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 3 eps) -3))) (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 eps -1) (*.f64 (-.f64 (/.f64 1 eps) eps) 3)) (*.f64 x (*.f64 eps eps))))
(+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)))) x) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(fma.f64 (*.f64 eps eps) (*.f64 x x) (*.f64 x (fma.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1) (fma.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1))))))
(fma.f64 x (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (*.f64 3 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)))) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 3 (+.f64 eps 1)) (+.f64 (+.f64 eps -1) (/.f64 (+.f64 eps -1) eps))) (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 3 eps) -3))) (*.f64 x (*.f64 eps eps))))
(*.f64 x (+.f64 (fma.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 eps -1) (*.f64 (-.f64 (/.f64 1 eps) eps) 3)) (*.f64 x (*.f64 eps eps))))
(/.f64 2 eps)
(+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 eps))
(+.f64 (/.f64 2 eps) (*.f64 eps -2))
(fma.f64 eps -2 (/.f64 2 eps))
(+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 eps))
(+.f64 (/.f64 2 eps) (*.f64 eps -2))
(fma.f64 eps -2 (/.f64 2 eps))
(+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 eps))
(+.f64 (/.f64 2 eps) (*.f64 eps -2))
(fma.f64 eps -2 (/.f64 2 eps))
(*.f64 -2 eps)
(*.f64 eps -2)
(+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 eps))
(+.f64 (/.f64 2 eps) (*.f64 eps -2))
(fma.f64 eps -2 (/.f64 2 eps))
(+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 eps))
(+.f64 (/.f64 2 eps) (*.f64 eps -2))
(fma.f64 eps -2 (/.f64 2 eps))
(+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 eps))
(+.f64 (/.f64 2 eps) (*.f64 eps -2))
(fma.f64 eps -2 (/.f64 2 eps))
(*.f64 -2 eps)
(*.f64 eps -2)
(+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 eps))
(+.f64 (/.f64 2 eps) (*.f64 eps -2))
(fma.f64 eps -2 (/.f64 2 eps))
(+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 eps))
(+.f64 (/.f64 2 eps) (*.f64 eps -2))
(fma.f64 eps -2 (/.f64 2 eps))
(+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 -2 eps))
(+.f64 (/.f64 2 eps) (*.f64 eps -2))
(fma.f64 eps -2 (/.f64 2 eps))
(/.f64 3 eps)
(+.f64 (*.f64 3 (/.f64 1 eps)) (*.f64 -3 eps))
(+.f64 (/.f64 3 eps) (*.f64 eps -3))
(fma.f64 eps -3 (/.f64 3 eps))
(+.f64 (*.f64 3 (/.f64 1 eps)) (*.f64 -3 eps))
(+.f64 (/.f64 3 eps) (*.f64 eps -3))
(fma.f64 eps -3 (/.f64 3 eps))
(+.f64 (*.f64 3 (/.f64 1 eps)) (*.f64 -3 eps))
(+.f64 (/.f64 3 eps) (*.f64 eps -3))
(fma.f64 eps -3 (/.f64 3 eps))
(*.f64 -3 eps)
(*.f64 eps -3)
(+.f64 (*.f64 3 (/.f64 1 eps)) (*.f64 -3 eps))
(+.f64 (/.f64 3 eps) (*.f64 eps -3))
(fma.f64 eps -3 (/.f64 3 eps))
(+.f64 (*.f64 3 (/.f64 1 eps)) (*.f64 -3 eps))
(+.f64 (/.f64 3 eps) (*.f64 eps -3))
(fma.f64 eps -3 (/.f64 3 eps))
(+.f64 (*.f64 3 (/.f64 1 eps)) (*.f64 -3 eps))
(+.f64 (/.f64 3 eps) (*.f64 eps -3))
(fma.f64 eps -3 (/.f64 3 eps))
(*.f64 -3 eps)
(*.f64 eps -3)
(+.f64 (*.f64 3 (/.f64 1 eps)) (*.f64 -3 eps))
(+.f64 (/.f64 3 eps) (*.f64 eps -3))
(fma.f64 eps -3 (/.f64 3 eps))
(+.f64 (*.f64 3 (/.f64 1 eps)) (*.f64 -3 eps))
(+.f64 (/.f64 3 eps) (*.f64 eps -3))
(fma.f64 eps -3 (/.f64 3 eps))
(+.f64 (*.f64 3 (/.f64 1 eps)) (*.f64 -3 eps))
(+.f64 (/.f64 3 eps) (*.f64 eps -3))
(fma.f64 eps -3 (/.f64 3 eps))

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 30 to 12 computations (60% saved)

series2.0ms (0%)

Counts
1 → 8
Calls

3 calls:

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

rewrite40.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
380×pow1_binary64
365×add-sqr-sqrt_binary64
359×*-un-lft-identity_binary64
350×add-log-exp_binary64
349×log1p-expm1-u_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058
1996
212321
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 (neg.f64 x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))) (#(struct:change #<rule egg-rr> (2) ((x . x)))))

simplify47.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
621×distribute-rgt-neg-in_binary64
541×distribute-lft-neg-in_binary64
436×fma-neg_binary64
433×distribute-lft-out--_binary64
412×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02278
16075
213775
345263
4172263
5530563
Stop Event
1×node limit
Counts
9 → 10
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 (exp.f64 (*.f64 -1 x)) x)
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 (exp.f64 (*.f64 -1 x)) x)
Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) x))
(fma.f64 1/2 (pow.f64 x 3) (-.f64 x (*.f64 x x)))
(-.f64 (fma.f64 1/2 (pow.f64 x 3) x) (*.f64 x x))
(fma.f64 x (*.f64 x (fma.f64 x 1/2 -1)) x)
(fma.f64 (*.f64 x x) (fma.f64 x 1/2 -1) 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))
(fma.f64 x (*.f64 x (fma.f64 x 1/2 -1)) (fma.f64 -1/6 (pow.f64 x 4) x))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))
✓0.0b
(/.f64 eps (exp.f64 x))
✓0.1b
(*.f64 (pow.f64 x 3) 1/3)
✓18.5b
(*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x)))
Compiler

Compiled 116 to 57 computations (50.9% saved)

series16.0ms (0.1%)

Counts
4 → 52
Calls

18 calls:

TimeVariablePointExpression
4.0ms
eps
@0
(/.f64 eps (exp.f64 x))
1.0ms
x
@inf
(+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))
1.0ms
eps
@0
(*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x)))
1.0ms
x
@inf
(*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x)))
1.0ms
x
@-inf
(*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x)))

rewrite91.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
718×log-prod_binary64
352×pow2_binary64
349×fma-def_binary64
278×pow-unpow_binary64
249×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01346
128946
2390446
Stop Event
1×node limit
Counts
4 → 199
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x)))
(*.f64 (pow.f64 x 3) 1/3)
(/.f64 eps (exp.f64 x))
(+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (pow.f64 x 3)) 1/3) (pow.f64 (*.f64 (/.f64 eps (sqrt.f64 (exp.f64 x))) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (/.f64 eps (sqrt.f64 (exp.f64 x))) x) 2) (*.f64 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (pow.f64 x 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 eps (exp.f64 x)) (*.f64 eps (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (pow.f64 x 3)) 1/3) 1) (*.f64 (pow.f64 (*.f64 (/.f64 eps (sqrt.f64 (exp.f64 x))) x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 eps eps) (exp.f64 x))) (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 eps eps) (exp.f64 x))) (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 eps eps) (exp.f64 x))) (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 eps eps) (exp.f64 x))) (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 eps (exp.f64 x)) (*.f64 eps (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3))) (/.f64 (exp.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps eps) (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/27 (pow.f64 x 6))) (*.f64 (exp.f64 x) (-.f64 (fma.f64 1/9 (pow.f64 x 6) (pow.f64 x 4)) (*.f64 (pow.f64 x 3) (*.f64 1/3 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 1/9 (pow.f64 x 6)) (pow.f64 x 4))) (*.f64 (exp.f64 x) (fma.f64 (pow.f64 x 3) 1/3 (neg.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/27 (pow.f64 x 6)) (*.f64 eps eps)) (*.f64 (-.f64 (fma.f64 1/9 (pow.f64 x 6) (pow.f64 x 4)) (*.f64 (pow.f64 x 3) (*.f64 1/3 (*.f64 x x)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/9 (pow.f64 x 6)) (pow.f64 x 4)) (*.f64 eps eps)) (*.f64 (fma.f64 (pow.f64 x 3) 1/3 (neg.f64 (*.f64 x x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (pow.f64 x 3)) 1/3) 3) (pow.f64 (pow.f64 (*.f64 (/.f64 eps (sqrt.f64 (exp.f64 x))) x) 2) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (pow.f64 x 3)) 1/3) 2) (-.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 eps (sqrt.f64 (exp.f64 x))) x) 2) 2) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (pow.f64 x 3)) 1/3) (pow.f64 (*.f64 (/.f64 eps (sqrt.f64 (exp.f64 x))) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (pow.f64 x 3)) 1/3) 2) (pow.f64 (pow.f64 (*.f64 (/.f64 eps (sqrt.f64 (exp.f64 x))) x) 2) 2)) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (pow.f64 x 3)) 1/3) (pow.f64 (*.f64 (/.f64 eps (sqrt.f64 (exp.f64 x))) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (*.f64 eps (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3)))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 eps) (*.f64 eps (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3)))) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/27 (pow.f64 x 6)) (/.f64 (*.f64 eps eps) (exp.f64 x))) (-.f64 (fma.f64 1/9 (pow.f64 x 6) (pow.f64 x 4)) (*.f64 (pow.f64 x 3) (*.f64 1/3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/9 (pow.f64 x 6)) (pow.f64 x 4)) (/.f64 (*.f64 eps eps) (exp.f64 x))) (fma.f64 (pow.f64 x 3) 1/3 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/27 (pow.f64 x 6))) (-.f64 (fma.f64 1/9 (pow.f64 x 6) (pow.f64 x 4)) (*.f64 (pow.f64 x 3) (*.f64 1/3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (-.f64 (*.f64 1/9 (pow.f64 x 6)) (pow.f64 x 4))) (fma.f64 (pow.f64 x 3) 1/3 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3)) (*.f64 eps eps)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 eps (exp.f64 x)) (*.f64 eps (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 eps (exp.f64 x)) (*.f64 eps (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 eps (exp.f64 x)) (*.f64 eps (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 eps (exp.f64 x)) (*.f64 eps (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 x (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2))) (/.f64 eps (sqrt.f64 (exp.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) 3) (pow.f64 (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3)) 3) (pow.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 eps (exp.f64 x)) (*.f64 eps (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 eps eps) (exp.f64 x))) (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 eps (exp.f64 x)) (*.f64 eps (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 eps (sqrt.f64 (exp.f64 x))) x) 2)) (exp.f64 (*.f64 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (pow.f64 x 3)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 eps (exp.f64 x)) (*.f64 eps (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) 3) (pow.f64 (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3)) 3) (pow.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 eps (exp.f64 x)) (*.f64 eps 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/9 (pow.f64 x 6)) (fma.f64 (pow.f64 x 3) 1/3 (neg.f64 (*.f64 x x)))) (/.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 3) 1/3 (neg.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3))) (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3))) 2) (cbrt.f64 (fma.f64 x x (*.f64 (pow.f64 x 3) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2))) (hypot.f64 x (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2))))))) 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simplify59.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
507×fma-def_binary64
398×distribute-rgt-out_binary64
382×distribute-lft-out_binary64
335×associate-/l*_binary64
281×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
065886
1206859
2746815
34033789
Stop Event
1×node limit
Counts
251 → 223
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (pow.f64 eps 2)) (pow.f64 eps 2)) (pow.f64 x 3)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (pow.f64 eps 2)) (pow.f64 eps 2)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/3 (pow.f64 eps 2)))) (pow.f64 x 4)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (pow.f64 eps 2)) (pow.f64 eps 2)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/3 (pow.f64 eps 2))) (+.f64 (*.f64 1/6 (pow.f64 eps 2)) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/3 (pow.f64 eps 2)) (pow.f64 eps 2))) (pow.f64 eps 2)))) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/3 (pow.f64 eps 2)))) (pow.f64 x 4)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
eps
(+.f64 (*.f64 -1 (*.f64 eps x)) eps)
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 eps (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 eps) (*.f64 1/2 eps)) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 eps) (+.f64 (*.f64 -1/2 eps) (*.f64 -1 (+.f64 (*.f64 -1 eps) (*.f64 1/2 eps))))) (pow.f64 x 3))) (+.f64 eps (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 eps) (*.f64 1/2 eps)) (pow.f64 x 2))))))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
Outputs
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)))
(*.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)) (/.f64 eps (/.f64 (exp.f64 x) eps)))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)))
(*.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)) (/.f64 eps (/.f64 (exp.f64 x) eps)))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)))
(*.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)) (/.f64 eps (/.f64 (exp.f64 x) eps)))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)))
(*.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)) (/.f64 eps (/.f64 (exp.f64 x) eps)))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)))
(*.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)) (/.f64 eps (/.f64 (exp.f64 x) eps)))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)))
(*.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)) (/.f64 eps (/.f64 (exp.f64 x) eps)))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)))
(*.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)) (/.f64 eps (/.f64 (exp.f64 x) eps)))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)))
(*.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)) (/.f64 eps (/.f64 (exp.f64 x) eps)))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)))
(*.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)) (/.f64 eps (/.f64 (exp.f64 x) eps)))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)))
(*.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)) (/.f64 eps (/.f64 (exp.f64 x) eps)))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)))
(*.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)) (/.f64 eps (/.f64 (exp.f64 x) eps)))
(/.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)))
(*.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)) (/.f64 eps (/.f64 (exp.f64 x) eps)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 eps (*.f64 x (*.f64 eps x)))
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (pow.f64 eps 2)) (pow.f64 eps 2)) (pow.f64 x 3)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(fma.f64 (-.f64 (*.f64 (*.f64 eps eps) 1/3) (*.f64 eps eps)) (pow.f64 x 3) (*.f64 (*.f64 eps eps) (*.f64 x x)))
(fma.f64 (*.f64 eps eps) (*.f64 x x) (*.f64 (pow.f64 x 3) (-.f64 (*.f64 eps (*.f64 eps 1/3)) (*.f64 eps eps))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 (*.f64 eps eps) -2/3))))
(*.f64 x (*.f64 x (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 eps (*.f64 eps -2/3))))))
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (pow.f64 eps 2)) (pow.f64 eps 2)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/3 (pow.f64 eps 2)))) (pow.f64 x 4)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(fma.f64 (-.f64 (*.f64 (*.f64 eps eps) 1/3) (*.f64 eps eps)) (pow.f64 x 3) (fma.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) 5/6)) (pow.f64 x 4) (*.f64 (*.f64 eps eps) (*.f64 x x))))
(fma.f64 (pow.f64 x 3) (-.f64 (*.f64 eps (*.f64 eps 1/3)) (*.f64 eps eps)) (fma.f64 (fma.f64 eps eps (*.f64 (*.f64 eps eps) -5/6)) (pow.f64 x 4) (*.f64 (*.f64 eps eps) (*.f64 x x))))
(fma.f64 (*.f64 eps (-.f64 eps (*.f64 eps 5/6))) (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 (*.f64 eps eps) -2/3)))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 eps eps) (*.f64 x (+.f64 (*.f64 eps (*.f64 eps -2/3)) (*.f64 (*.f64 (*.f64 eps eps) 1/6) x)))))
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (pow.f64 eps 2)) (pow.f64 eps 2)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/3 (pow.f64 eps 2))) (+.f64 (*.f64 1/6 (pow.f64 eps 2)) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/3 (pow.f64 eps 2)) (pow.f64 eps 2))) (pow.f64 eps 2)))) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/3 (pow.f64 eps 2)))) (pow.f64 x 4)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(fma.f64 (-.f64 (*.f64 (*.f64 eps eps) 1/3) (*.f64 eps eps)) (pow.f64 x 3) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) 5/6) (fma.f64 1/6 (*.f64 eps eps) (fma.f64 1/2 (-.f64 (*.f64 (*.f64 eps eps) 1/3) (*.f64 eps eps)) (*.f64 eps eps)))) (pow.f64 x 5) (fma.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) 5/6)) (pow.f64 x 4) (*.f64 (*.f64 eps eps) (*.f64 x x)))))
(fma.f64 (pow.f64 x 3) (-.f64 (*.f64 eps (*.f64 eps 1/3)) (*.f64 eps eps)) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) 2/3) (fma.f64 eps eps (*.f64 (-.f64 (*.f64 eps (*.f64 eps 1/3)) (*.f64 eps eps)) 1/2))) (pow.f64 x 5) (fma.f64 (fma.f64 eps eps (*.f64 (*.f64 eps eps) -5/6)) (pow.f64 x 4) (*.f64 (*.f64 eps eps) (*.f64 x x)))))
(fma.f64 (-.f64 (*.f64 eps (*.f64 eps 2/3)) (*.f64 eps (*.f64 eps 2/3))) (pow.f64 x 5) (fma.f64 (*.f64 eps (-.f64 eps (*.f64 eps 5/6))) (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 (*.f64 eps eps) (*.f64 x (*.f64 (*.f64 eps eps) -2/3))))))
(fma.f64 (pow.f64 x 5) 0 (*.f64 (*.f64 x x) (+.f64 (*.f64 eps eps) (*.f64 x (+.f64 (*.f64 eps (*.f64 eps -2/3)) (*.f64 (*.f64 (*.f64 eps eps) 1/6) x))))))
(*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (pow.f64 x 3))))
(*.f64 1/3 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (pow.f64 x 3)))
(*.f64 1/3 (*.f64 (pow.f64 x 3) (/.f64 eps (/.f64 (exp.f64 x) eps))))
(*.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) (*.f64 eps (*.f64 eps 1/3)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)))
(*.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)) (/.f64 eps (/.f64 (exp.f64 x) eps)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)))
(*.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)) (/.f64 eps (/.f64 (exp.f64 x) eps)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)))
(*.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)) (/.f64 eps (/.f64 (exp.f64 x) eps)))
(*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x)))
(*.f64 1/3 (/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (pow.f64 x 3))))
(*.f64 1/3 (*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (pow.f64 x 3)))
(*.f64 1/3 (*.f64 (pow.f64 x 3) (/.f64 eps (/.f64 (exp.f64 x) eps))))
(*.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) (*.f64 eps (*.f64 eps 1/3)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)))
(*.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)) (/.f64 eps (/.f64 (exp.f64 x) eps)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)))
(*.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)) (/.f64 eps (/.f64 (exp.f64 x) eps)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)) (exp.f64 x))) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 x)))
(/.f64 (*.f64 eps eps) (/.f64 (exp.f64 x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)))
(*.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x x)) (/.f64 eps (/.f64 (exp.f64 x) eps)))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
eps
(+.f64 (*.f64 -1 (*.f64 eps x)) eps)
(fma.f64 -1 (*.f64 eps x) eps)
(-.f64 eps (*.f64 eps x))
(fma.f64 eps (neg.f64 x) eps)
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 eps (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 eps) (*.f64 1/2 eps)) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (*.f64 eps x) eps) (*.f64 (neg.f64 (*.f64 eps -1/2)) (*.f64 x x)))
(-.f64 (fma.f64 (*.f64 eps 1/2) (*.f64 x x) eps) (*.f64 eps x))
(fma.f64 eps (neg.f64 x) (fma.f64 (*.f64 x x) (*.f64 eps 1/2) eps))
(-.f64 eps (*.f64 eps (-.f64 x (*.f64 (*.f64 x x) 1/2))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 eps) (+.f64 (*.f64 -1/2 eps) (*.f64 -1 (+.f64 (*.f64 -1 eps) (*.f64 1/2 eps))))) (pow.f64 x 3))) (+.f64 eps (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 eps) (*.f64 1/2 eps)) (pow.f64 x 2))))))
(fma.f64 -1 (*.f64 eps x) (fma.f64 -1 (*.f64 (pow.f64 x 3) (fma.f64 1/6 eps (fma.f64 -1/2 eps (neg.f64 (*.f64 eps -1/2))))) (+.f64 eps (*.f64 (neg.f64 (*.f64 eps -1/2)) (*.f64 x x)))))
(-.f64 (-.f64 (fma.f64 (*.f64 eps 1/2) (*.f64 x x) eps) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 eps 1/2) (*.f64 eps -1/3)))) (*.f64 eps x))
(-.f64 (fma.f64 (pow.f64 x 3) (*.f64 eps -1/6) (fma.f64 (*.f64 x x) (*.f64 eps 1/2) eps)) (*.f64 eps x))
(+.f64 eps (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 eps -1/6)) (*.f64 eps 1/2))) eps)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (pow.f64 x 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x x))

eval501.0ms (4.3%)

Compiler

Compiled 18223 to 12046 computations (33.9% saved)

prune137.0ms (1.2%)

Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New5327539
Fresh088
Picked011
Done268
Total53422556
Error
0.0b
Counts
556 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
✓18.4b
(/.f64 2 2)
18.9b
(/.f64 (+.f64 2 (*.f64 (*.f64 x eps) (+.f64 -2 (*.f64 x eps)))) 2)
18.5b
(/.f64 (+.f64 2 (+.f64 (*.f64 0 x) (*.f64 x (*.f64 eps (*.f64 x eps))))) 2)
✓0.4b
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
1.2b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
49.8b
(*.f64 1/2 (/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (fma.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (-.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))
16.8b
(/.f64 (+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) (*.f64 eps (*.f64 eps 1/3)))) 2)
✓16.8b
(/.f64 (+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x)))) 2)
22.4b
(/.f64 (+.f64 2 (*.f64 x (*.f64 x (*.f64 eps eps)))) 2)
18.8b
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) 1) 2)
61.9b
(/.f64 (*.f64 2 x) 2)
✓44.8b
(*.f64 1/2 0)
✓18.6b
(*.f64 1/2 (-.f64 2 (*.f64 x x)))
✓0.4b
(/.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2)
21.6b
(/.f64 (+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (*.f64 (+.f64 eps (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 eps -1/6)) (*.f64 eps 1/2))) eps))) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x)))) 2)
44.5b
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
18.7b
(/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2)
✓44.5b
(/.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) x)) 2)
29.8b
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3))))
62.1b
(/.f64 (*.f64 2 (-.f64 x (*.f64 x x))) 2)
21.1b
(/.f64 (+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (*.f64 (-.f64 eps (*.f64 eps (-.f64 x (*.f64 (*.f64 x x) 1/2)))) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x)))) 2)
19.3b
(/.f64 (+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) 2)
Compiler

Compiled 431 to 320 computations (25.8% saved)

regimes78.0ms (0.7%)

Counts
36 → 1
Calls
Call 1
Inputs
(/.f64 2 2)
(*.f64 1/2 0)
(/.f64 2 2)
(/.f64 (*.f64 2 x) 2)
(*.f64 1/2 (-.f64 2 (*.f64 x x)))
(/.f64 (*.f64 2 (-.f64 x (*.f64 x x))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 x (*.f64 eps eps)))) 2)
(/.f64 (+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 x eps) (+.f64 -2 (*.f64 x eps)))) 2)
(/.f64 (+.f64 2 (+.f64 (*.f64 0 x) (*.f64 x (*.f64 eps (*.f64 x eps))))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
(/.f64 (+.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 x (*.f64 eps (*.f64 x eps))))) 2)
(/.f64 (+.f64 2 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))))) x) (*.f64 x (*.f64 eps (*.f64 x eps))))) 2)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) 1) 2)
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
(/.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) x)) 2)
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2)
(/.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2)
(/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 eps 1) x))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(*.f64 1/2 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (*.f64 (-.f64 eps (*.f64 eps (-.f64 x (*.f64 (*.f64 x x) 1/2)))) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x)))) 2)
(/.f64 (+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (*.f64 (+.f64 eps (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 eps -1/6)) (*.f64 eps 1/2))) eps))) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x)))) 2)
(/.f64 (+.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 eps 1) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2)))) 2)
(/.f64 (*.f64 2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) (*.f64 eps (*.f64 eps 1/3)))) 2)
(/.f64 (+.f64 (/.f64 (fma.f64 x 2 2) (exp.f64 x)) (*.f64 (*.f64 (/.f64 eps (exp.f64 x)) eps) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 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 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3))))
(/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x))) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) 1))) (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)))) 2)
(*.f64 1/2 (fma.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) (fma.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2 (*.f64 (/.f64 x (exp.f64 x)) (+.f64 x 1)))) (+.f64 (/.f64 x (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) (*.f64 eps (*.f64 eps (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) -1/6 (*.f64 x (*.f64 x (-.f64 (*.f64 (/.f64 1/2 (exp.f64 x)) x) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))))))))))))
(*.f64 1/2 (/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (fma.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (-.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))
Outputs
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
Calls

6 calls:

17.0ms
eps
16.0ms
x
6.0ms
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
4.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
4.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Results
ErrorSegmentsBranch
0.4b1x
0.4b1eps
0.4b1(/.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)
0.4b1(/.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)
0.4b1(-.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)))))
0.4b1(-.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 971 to 663 computations (31.7% saved)

regimes75.0ms (0.6%)

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

2 calls:

52.0ms
eps
16.0ms
x
Results
ErrorSegmentsBranch
1.0b2x
14.2b7eps
Compiler

Compiled 215 to 151 computations (29.8% saved)

bsearch161.0ms (1.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
160.0ms
0.00024159065969559275
2.5799484407936295
Compiler

Compiled 204 to 165 computations (19.1% saved)

regimes66.0ms (0.6%)

Counts
14 → 2
Calls
Call 1
Inputs
(/.f64 2 2)
(*.f64 1/2 0)
(/.f64 2 2)
(/.f64 (*.f64 2 x) 2)
(*.f64 1/2 (-.f64 2 (*.f64 x x)))
(/.f64 (*.f64 2 (-.f64 x (*.f64 x x))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 x (*.f64 eps eps)))) 2)
(/.f64 (+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 x eps) (+.f64 -2 (*.f64 x eps)))) 2)
(/.f64 (+.f64 2 (+.f64 (*.f64 0 x) (*.f64 x (*.f64 eps (*.f64 x eps))))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
(/.f64 (+.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 x (*.f64 eps (*.f64 x eps))))) 2)
(/.f64 (+.f64 2 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))))) x) (*.f64 x (*.f64 eps (*.f64 x eps))))) 2)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) 1) 2)
Outputs
(*.f64 1/2 (-.f64 2 (*.f64 x x)))
(*.f64 1/2 0)
Calls

2 calls:

46.0ms
eps
14.0ms
x
Results
ErrorSegmentsBranch
1.0b2x
14.2b7eps
Compiler

Compiled 198 to 140 computations (29.3% saved)

bsearch152.0ms (1.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
152.0ms
0.00024159065969559275
2.5799484407936295
Compiler

Compiled 164 to 141 computations (14% saved)

regimes39.0ms (0.3%)

Accuracy

Total -61.1b remaining (-4960.3%)

Threshold costs -61.1b (-4960.3%)

Counts
4 → 2
Calls
Call 1
Inputs
(/.f64 2 2)
(*.f64 1/2 0)
(/.f64 2 2)
(/.f64 (*.f64 2 x) 2)
Outputs
(/.f64 2 2)
(*.f64 1/2 0)
Calls

2 calls:

30.0ms
eps
7.0ms
x
Results
ErrorSegmentsBranch
1.2b2x
14.3b7eps
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch116.0ms (1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
116.0ms
2.5799484407936295
31665314.60567902
Compiler

Compiled 144 to 137 computations (4.9% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
5×*-commutative_binary64
4×+-commutative_binary64
3×sub-neg_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02969
13969
24669
35069
45269
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(if (<=.f64 x 2476979795053773/2251799813685248) (*.f64 1/2 (-.f64 2 (*.f64 x x))) (/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2))
(if (<=.f64 x 6530219459687219/4503599627370496) (*.f64 1/2 (-.f64 2 (*.f64 x x))) (*.f64 1/2 0))
(if (<=.f64 x 31000000) (/.f64 2 2) (*.f64 1/2 0))
(/.f64 2 2)
Outputs
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(if (<=.f64 x 2476979795053773/2251799813685248) (*.f64 1/2 (-.f64 2 (*.f64 x x))) (/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2))
(if (<=.f64 x 6530219459687219/4503599627370496) (*.f64 1/2 (-.f64 2 (*.f64 x x))) (*.f64 1/2 0))
(if (<=.f64 x 6530219459687219/4503599627370496) (*.f64 1/2 (-.f64 2 (*.f64 x x))) 0)
(if (<=.f64 x 31000000) (/.f64 2 2) (*.f64 1/2 0))
(if (<=.f64 x 31000000) 1 0)
(/.f64 2 2)
1
Compiler

Compiled 58 to 47 computations (19% saved)

soundness70.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
627×distribute-rgt-in_binary64
610×distribute-lft-in_binary64
439×cancel-sign-sub-inv_binary64
228×associate--l+_binary64
222×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02263185
17752801
228702303
Stop Event
1×node limit
Compiler

Compiled 241 to 139 computations (42.3% saved)

end40.0ms (0.3%)

Compiler

Compiled 50 to 37 computations (26% saved)

Profiling

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