Details

Time bar (total: 10.3s)

analyze195.0ms (1.9%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%87.4%12.6%6
20.3%59.3%20.4%7
21.1%51.5%27.4%8
35.5%30.4%34%9
35.7%26.1%38.1%10
42.8%15.4%41.8%11
42.9%13.2%44%12
Compiler

Compiled 32 to 26 computations (18.8% saved)

sample3.8s (36.8%)

Results
1.7s2059×body1024valid
1.1s4974×body256valid
396.0ms1029×body512valid
334.0ms924×body256invalid
253.0ms194×body2048valid
10.0ms19×body1024invalid
8.0ms18×body512invalid

preprocess62.0ms (0.6%)

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)

simplify40.0ms (0.4%)

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
26.7b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶27.3b
(*.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)))))
▶26.7b
(/.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)

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (exp.f64 x) (+.f64 eps -1))
✓0.0b
(exp.f64 (fma.f64 eps x x))
✓0.0b
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
✓2.4b
(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)

series88.0ms (0.9%)

Counts
4 → 80
Calls

24 calls:

TimeVariablePointExpression
35.0ms
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))))
34.0ms
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))))
5.0ms
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))))

rewrite113.0ms (1.1%)

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

simplify101.0ms (1%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02132746
17732430
229512111
379902111
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)))))
(/.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))))))
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)))
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 (/.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))))
(+.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 (+.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 (*.f64 (pow.f64 x 3) -1/6) (exp.f64 x)) (*.f64 x (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)))))))) (exp.f64 (neg.f64 x)))) (/.f64 (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 x (-.f64 (*.f64 (/.f64 1/2 (exp.f64 x)) x) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) x (*.f64 (/.f64 -1/6 (exp.f64 x)) (pow.f64 x 3))))))))))
(+.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 (+.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))))))
(+.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))))
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2
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1
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1
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(fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 x (/.f64 x (exp.f64 x))))) (fma.f64 eps (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (*.f64 eps (*.f64 eps (/.f64 (*.f64 x x) (exp.f64 x)))) (fma.f64 eps (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))))
(fma.f64 1/6 (*.f64 (*.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)) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))))
(+.f64 (fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 x (/.f64 x (exp.f64 x))))) (fma.f64 eps (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))) (*.f64 (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x))) (pow.f64 eps 3)))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) (pow.f64 eps 3)) (fma.f64 1/2 (*.f64 eps (*.f64 eps (/.f64 (*.f64 x x) (exp.f64 x)))) (fma.f64 eps (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps)))))
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps)))))
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps)))))
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps)))))
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))

localize66.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(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 eps) x)
✓1.2b
(-.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)

series19.0ms (0.2%)

Counts
4 → 76
Calls

24 calls:

TimeVariablePointExpression
4.0ms
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)))))
2.0ms
x
@inf
(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
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)))))

rewrite128.0ms (1.2%)

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
01871
141262
2598162
Stop Event
1×node limit
Counts
4 → 173
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 eps) x)
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
(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 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 1 eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (*.f64 (-.f64 1 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))))

simplify81.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
508×distribute-rgt-in_binary64
492×distribute-lft-in_binary64
427×cancel-sign-sub-inv_binary64
386×associate-+r+_binary64
205×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01992297
16912024
224431731
Stop Event
1×node limit
Counts
249 → 235
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)))))
x
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(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)))
(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))
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 (exp.f64 (neg.f64 x)) (-.f64 (*.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) (-.f64 (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 (/.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 1/24 (exp.f64 x)) (pow.f64 x 4) (*.f64 (pow.f64 x 5) (/.f64 1/120 (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) (-.f64 (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 (/.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 4) (exp.f64 x)) 1/12) (*.f64 (pow.f64 x 5) (/.f64 -1/120 (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 (+.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 (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 (fma.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)))) (fma.f64 -1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) -1/720))) (pow.f64 eps 6) (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 1/24 (exp.f64 x)) (pow.f64 x 4) (*.f64 (pow.f64 x 5) (/.f64 1/120 (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 (fma.f64 (/.f64 1/720 (exp.f64 x)) (pow.f64 x 6) (*.f64 (pow.f64 x 7) (/.f64 1/5040 (exp.f64 x)))) (fma.f64 (/.f64 -1/720 (exp.f64 x)) (pow.f64 x 6) (*.f64 (pow.f64 x 7) (/.f64 -1/5040 (exp.f64 x))))) (pow.f64 eps 6) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 (/.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)))))
(+.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)))) (fma.f64 (pow.f64 eps 4) (fma.f64 1/120 (/.f64 (pow.f64 x 5) (exp.f64 x)) (-.f64 (*.f64 (/.f64 (pow.f64 x 4) (exp.f64 x)) 1/12) (*.f64 (pow.f64 x 5) (/.f64 -1/120 (exp.f64 x))))) (*.f64 (fma.f64 1/720 (/.f64 (pow.f64 x 6) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 6) (/.f64 1/720 (exp.f64 x))) (*.f64 (/.f64 (pow.f64 x 7) (exp.f64 x)) 1/2520))) (pow.f64 eps 6))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (-.f64 eps 1)))
(-.f64 (+.f64 (/.f64 (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 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (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 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (-.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps) (/.f64 (/.f64 (-.f64 eps 1) eps) (exp.f64 (fma.f64 x eps 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 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (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 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (-.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps) (/.f64 (/.f64 (-.f64 eps 1) eps) (exp.f64 (fma.f64 x eps 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 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (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 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (-.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps) (/.f64 (/.f64 (-.f64 eps 1) eps) (exp.f64 (fma.f64 x eps x))))
(-.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 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (-.f64 eps 1)))
(-.f64 (+.f64 (*.f64 -1 (/.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 (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
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(-.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 x x)) 1) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 x eps) (exp.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x)))))
(fma.f64 -1 (*.f64 (*.f64 x (exp.f64 (neg.f64 x))) eps) (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 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (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)))
(-.f64 (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (/.f64 (pow.f64 eps 3) (exp.f64 x))) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 x x)) 1) (exp.f64 (neg.f64 x)))) (/.f64 (*.f64 x eps) (exp.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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(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)))
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 eps 1) 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 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 eps 1) 2)) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 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 x 3) (*.f64 -1/6 (pow.f64 (+.f64 eps 1) 3)))))
(+.f64 (-.f64 1 (fma.f64 x eps x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 eps 1) 2)) (*.f64 (*.f64 -1/6 (pow.f64 (+.f64 eps 1) 3)) x))))
(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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x)))
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 (/.f64 eps (exp.f64 x)) x (exp.f64 (neg.f64 x)))
(fma.f64 (/.f64 x (exp.f64 x)) eps (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x))))
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (exp.f64 (neg.f64 x))))
(fma.f64 (/.f64 eps (exp.f64 x)) x (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps (/.f64 eps (exp.f64 x)))) (exp.f64 (neg.f64 x))))
(fma.f64 (/.f64 x (exp.f64 x)) eps (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 x x)) 1) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (exp.f64 (neg.f64 x)))))
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (fma.f64 1/6 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (pow.f64 eps 3)) (exp.f64 (neg.f64 x)))))
(+.f64 (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps (/.f64 eps (exp.f64 x)))) (*.f64 (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x))) (pow.f64 eps 3))) (fma.f64 (/.f64 eps (exp.f64 x)) x (exp.f64 (neg.f64 x))))
(fma.f64 (/.f64 x (exp.f64 x)) eps (fma.f64 1/2 (*.f64 (*.f64 x x) (/.f64 (*.f64 eps eps) (exp.f64 x))) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (pow.f64 eps 3) (exp.f64 x))) (exp.f64 (neg.f64 x)))))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (-.f64 eps 1))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (-.f64 eps 1))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (-.f64 eps 1))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (-.f64 eps 1))
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 1 (*.f64 x (-.f64 eps 1)))
(fma.f64 x (-.f64 eps 1) 1)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 eps 1) 2)) (+.f64 1 (*.f64 x (-.f64 eps 1))))
(fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (-.f64 eps 1) 2))) (fma.f64 x (-.f64 eps 1) 1))
(fma.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 x x) (fma.f64 x (-.f64 eps 1) 1))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 eps 1) 2)) (+.f64 1 (fma.f64 (-.f64 eps 1) x (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps 1) 3))))))
(+.f64 (fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (-.f64 eps 1) 2))) (fma.f64 x (-.f64 eps 1) 1)) (*.f64 (pow.f64 x 3) (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3))))
(+.f64 (fma.f64 x (-.f64 eps 1) 1) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) x) (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)))))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (-.f64 eps 1))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (-.f64 eps 1))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (-.f64 eps 1))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (-.f64 eps 1))

eval628.0ms (6.1%)

Compiler

Compiled 15962 to 11358 computations (28.8% saved)

prune94.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New39911410
Fresh000
Picked101
Done101
Total40111412
Error
0.0b
Counts
412 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
▶45.6b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
▶27.2b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
0.7b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
27.3b
(*.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 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2))))
▶0.4b
(*.f64 1/2 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))))
▶0.4b
(/.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2)
0.4b
(/.f64 (-.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))))) 2)
19.1b
(/.f64 2 2)
45.4b
(/.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)
39.0b
(*.f64 1/2 (*.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)))))))
▶43.8b
(*.f64 1/2 0)
Compiler

Compiled 522 to 396 computations (24.1% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 52 to 23 computations (55.8% saved)

series136.0ms (1.3%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
131.0ms
x
@0
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))
1.0ms
x
@0
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)))
1.0ms
x
@inf
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)))
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))

rewrite58.0ms (0.6%)

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 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)))
(/.f64 x (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 2)))))
((#(struct:change #<rule egg-rr> (2) ((x . 0)))) (#(struct:change #<rule egg-rr> (2) ((x . x)))))
((#(struct:change #<rule egg-rr> (2) ((x . 2)))))

simplify57.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
741×distribute-rgt-neg-in_binary64
629×distribute-lft-neg-in_binary64
559×associate-*l*_binary64
447×associate-*r*_binary64
286×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059418
1162316
2404290
31369275
45060275
Stop Event
1×node limit
Counts
31 → 33
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.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))))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 -1 x)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(*.f64 (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
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 2/3 (pow.f64 x 3))))
(+.f64 2 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x (neg.f64 x))))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(-.f64 (*.f64 2/3 (pow.f64 x 3)) (fma.f64 x x -2))
(-.f64 2 (fma.f64 x x (*.f64 (pow.f64 x 3) -2/3)))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 3)))))
(+.f64 2 (fma.f64 -1 (*.f64 x x) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 2/3 (pow.f64 x 3)))))
(+.f64 (-.f64 2 (*.f64 x x)) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 2 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 -1/4 (pow.f64 x 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 2 (/.f64 (exp.f64 x) 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 2 (/.f64 (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))))
(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))
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 (pow.f64 x 3) 1/2 (-.f64 x (*.f64 x x)))
(-.f64 (fma.f64 (pow.f64 x 3) 1/2 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 (pow.f64 x 3) 1/2 (-.f64 (fma.f64 (pow.f64 x 4) -1/6 x) (*.f64 x x)))
(-.f64 (fma.f64 (pow.f64 x 3) 1/2 (fma.f64 (pow.f64 x 4) -1/6 x)) (*.f64 x x))
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 (fma.f64 (pow.f64 x 4) -1/12 (-.f64 2 x)))
(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 (+.f64 2 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 (+.f64 2 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 (+.f64 2 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) (*.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 (+.f64 2 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 (+.f64 2 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 (+.f64 2 x) (exp.f64 x))

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize14.0ms (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))
0.0ms
x
@inf
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))
0.0ms
x
@-inf
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))

rewrite92.0ms (0.9%)

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)))))))

simplify99.0ms (1%)

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))

localize61.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiled 153 to 116 computations (24.2% saved)

series10.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite112.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
534×fma-neg_binary64
345×expm1-udef_binary64
345×log1p-udef_binary64
228×add-sqr-sqrt_binary64
225×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01964
144556
2674156
Stop Event
1×node limit
Counts
2 → 134
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) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
Outputs
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simplify57.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
661×fma-def_binary64
564×associate-+l+_binary64
429×associate-*l*_binary64
428×associate--r+_binary64
416×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01191588
14191417
215261222
Stop Event
1×node limit
Counts
182 → 182
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (*.f64 -1 x))) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) x)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) 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 (exp.f64 (neg.f64 x)) x))))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(*.f64 -1 (*.f64 eps x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(*.f64 -1 (*.f64 eps x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) eps)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) eps)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
2
(+.f64 2 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x))
(+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2)))) (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x)))
(+.f64 2 (+.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 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x))))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (+.f64 1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) (/.f64 1 eps))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (+.f64 1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) (/.f64 1 eps))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (+.f64 1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) (/.f64 1 eps))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps))
(/.f64 (+.f64 1 (*.f64 -1 x)) eps)
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(-.f64 (/.f64 1 eps) 1)
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))
(-.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 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)
(*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
Outputs
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (*.f64 -1 x))) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (neg.f64 x))) eps)
(/.f64 (-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 x)) eps)
(/.f64 (+.f64 (expm1.f64 (neg.f64 x)) x) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))) (+.f64 (/.f64 1 eps) (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps))))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (+.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) (-.f64 (/.f64 1 eps) x)))
(+.f64 (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 (expm1.f64 (neg.f64 x)) eps)) (+.f64 (-.f64 1 x) (+.f64 x (/.f64 x eps))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) x)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(-.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)))) x) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))))) (+.f64 (/.f64 1 eps) (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps))))))
(+.f64 (fma.f64 eps (-.f64 (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x)))) x) (/.f64 (exp.f64 (neg.f64 x)) eps)) (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (+.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) (-.f64 (/.f64 1 eps) x))))
(+.f64 (fma.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) x) (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 (expm1.f64 (neg.f64 x)) eps))) (+.f64 (-.f64 1 x) (+.f64 x (/.f64 x eps))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) 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 (exp.f64 (neg.f64 x)) x))))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) x) (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (*.f64 x (exp.f64 (neg.f64 x)))))) (+.f64 (/.f64 1 eps) (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps))))))
(+.f64 (+.f64 (fma.f64 eps (-.f64 (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x)))) x) (*.f64 eps (*.f64 eps (fma.f64 (/.f64 1/6 (exp.f64 x)) (pow.f64 x 3) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x))))))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) (-.f64 (/.f64 1 eps) x))))
(+.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (*.f64 x x) (+.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 1/6 (/.f64 x (exp.f64 x)))))) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) x))) (+.f64 (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 (expm1.f64 (neg.f64 x)) eps)) (+.f64 (-.f64 1 x) (+.f64 x (/.f64 x eps)))))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 (neg.f64 x) eps)
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))
(-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 (fma.f64 x eps x) -1)) x)
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(-.f64 (-.f64 (+.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps)) (/.f64 1 eps)) (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps)))))
(+.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (+.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) (-.f64 (/.f64 1 eps) x))))
(+.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps))) (-.f64 (-.f64 x (*.f64 x eps)) (+.f64 (+.f64 x (-.f64 -1 (/.f64 x eps))) (/.f64 1 eps))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(-.f64 (-.f64 (+.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps)) (/.f64 1 eps)) (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps)))))
(+.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (+.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) (-.f64 (/.f64 1 eps) x))))
(+.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps))) (-.f64 (-.f64 x (*.f64 x eps)) (+.f64 (+.f64 x (-.f64 -1 (/.f64 x eps))) (/.f64 1 eps))))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 (neg.f64 x) eps)
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))
(-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 (fma.f64 x eps x) -1)) x)
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) eps)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (fma.f64 -1 (*.f64 x eps) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (+.f64 1 (neg.f64 x)))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))
(fma.f64 (neg.f64 eps) x (-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (+.f64 (-.f64 1 x) (/.f64 -1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) eps)) (-.f64 (neg.f64 x) (-.f64 1 x))))
(+.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 (fma.f64 x eps x) -1)) x) (/.f64 (+.f64 (expm1.f64 (fma.f64 x eps (neg.f64 x))) x) eps))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) eps)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (fma.f64 -1 (*.f64 x eps) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (+.f64 1 (neg.f64 x)))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))
(fma.f64 (neg.f64 eps) x (-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (+.f64 (-.f64 1 x) (/.f64 -1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) eps)) (-.f64 (neg.f64 x) (-.f64 1 x))))
(+.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 (fma.f64 x eps x) -1)) x) (/.f64 (+.f64 (expm1.f64 (fma.f64 x eps (neg.f64 x))) x) eps))
2
(+.f64 2 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x))
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))))))
(fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))) 2)
(fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (+.f64 (-.f64 -1 eps) (/.f64 (+.f64 1 eps) eps))) 2)
(+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2)))) (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x)))
(+.f64 2 (fma.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x x) (pow.f64 (-.f64 eps 1) 2))) (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))))))
(+.f64 2 (fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))) (*.f64 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) (+.f64 1/2 (*.f64 1/2 (/.f64 1 eps))))))
(fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (+.f64 (-.f64 -1 eps) (/.f64 (+.f64 1 eps) eps))) (fma.f64 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) (+.f64 1/2 (/.f64 1/2 eps)) 2))
(+.f64 2 (+.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 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x))))
(+.f64 2 (fma.f64 1/6 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps 1) 3))) (fma.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x x) (pow.f64 (-.f64 eps 1) 2))) (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))))))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 x 3) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 3))) (*.f64 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) (+.f64 1/2 (*.f64 1/2 (/.f64 1 eps))))) (fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))) 2))
(fma.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 eps) 3)) (+.f64 1/6 (/.f64 1/6 eps)) (fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (+.f64 (-.f64 -1 eps) (/.f64 (+.f64 1 eps) eps))) (fma.f64 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) (+.f64 1/2 (/.f64 1/2 eps)) 2)))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))
(*.f64 x (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (+.f64 1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) (/.f64 1 eps))
(-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps))))) (/.f64 1 eps))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (fma.f64 (+.f64 1 eps) (*.f64 x (+.f64 -1 (/.f64 1 eps))) 1)) (/.f64 -1 eps))
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) (/.f64 -1 eps))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (+.f64 1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) (/.f64 1 eps))
(-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps))))) (/.f64 1 eps))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (fma.f64 (+.f64 1 eps) (*.f64 x (+.f64 -1 (/.f64 1 eps))) 1)) (/.f64 -1 eps))
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) (/.f64 -1 eps))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (+.f64 1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) (/.f64 1 eps))
(-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps))))) (/.f64 1 eps))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (fma.f64 (+.f64 1 eps) (*.f64 x (+.f64 -1 (/.f64 1 eps))) 1)) (/.f64 -1 eps))
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) (/.f64 -1 eps))))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))
(*.f64 x (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps))
(-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps))))) (/.f64 1 eps))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (fma.f64 (+.f64 1 eps) (*.f64 x (+.f64 -1 (/.f64 1 eps))) 1)) (/.f64 -1 eps))
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) (/.f64 -1 eps))))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps))
(-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps))))) (/.f64 1 eps))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (fma.f64 (+.f64 1 eps) (*.f64 x (+.f64 -1 (/.f64 1 eps))) 1)) (/.f64 -1 eps))
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) (/.f64 -1 eps))))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps))
(-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps))))) (/.f64 1 eps))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (fma.f64 (+.f64 1 eps) (*.f64 x (+.f64 -1 (/.f64 1 eps))) 1)) (/.f64 -1 eps))
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) (/.f64 -1 eps))))
(/.f64 (+.f64 1 (*.f64 -1 x)) eps)
(/.f64 (+.f64 1 (neg.f64 x)) eps)
(/.f64 (-.f64 1 x) eps)
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))
(+.f64 (/.f64 1 eps) (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps)))))
(+.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) (-.f64 (/.f64 1 eps) x))
(+.f64 -1 (+.f64 (-.f64 x (/.f64 x eps)) (-.f64 (/.f64 1 eps) x)))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(+.f64 (/.f64 1 eps) (fma.f64 eps x (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps))))))
(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x)))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 x eps (+.f64 x (-.f64 -1 (/.f64 x eps)))) x))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(+.f64 (/.f64 1 eps) (fma.f64 eps x (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps))))))
(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x)))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 x eps (+.f64 x (-.f64 -1 (/.f64 x eps)))) x))
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(fma.f64 eps x (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))
(-.f64 (*.f64 x (+.f64 -1 eps)) (-.f64 1 x))
(+.f64 (fma.f64 x (+.f64 -1 eps) -1) x)
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(+.f64 (/.f64 1 eps) (fma.f64 eps x (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps))))))
(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x)))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 x eps (+.f64 x (-.f64 -1 (/.f64 x eps)))) x))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(+.f64 (/.f64 1 eps) (fma.f64 eps x (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps))))))
(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x)))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 x eps (+.f64 x (-.f64 -1 (/.f64 x eps)))) x))
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(fma.f64 eps x (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))
(-.f64 (*.f64 x (+.f64 -1 eps)) (-.f64 1 x))
(+.f64 (fma.f64 x (+.f64 -1 eps) -1) x)
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(+.f64 (/.f64 1 eps) (fma.f64 eps x (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps))))))
(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x)))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 x eps (+.f64 x (-.f64 -1 (/.f64 x eps)))) x))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(+.f64 (/.f64 1 eps) (fma.f64 eps x (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps))))))
(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x)))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 x eps (+.f64 x (-.f64 -1 (/.f64 x eps)))) x))
(-.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) -1)
(+.f64 -1 (/.f64 1 eps))
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) 1))
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (*.f64 x (+.f64 1 eps)) (/.f64 1 eps)))
(*.f64 (+.f64 (*.f64 x (-.f64 -1 eps)) 1) (+.f64 -1 (/.f64 1 eps)))
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) 1))
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (*.f64 x (+.f64 1 eps)) (/.f64 1 eps)))
(*.f64 (+.f64 (*.f64 x (-.f64 -1 eps)) 1) (+.f64 -1 (/.f64 1 eps)))
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) 1))
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (*.f64 x (+.f64 1 eps)) (/.f64 1 eps)))
(*.f64 (+.f64 (*.f64 x (-.f64 -1 eps)) 1) (+.f64 -1 (/.f64 1 eps)))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))
(neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps))))
(*.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 -1 eps) 1)) x)
(*.f64 (+.f64 1 eps) (-.f64 x (/.f64 x eps)))
(-.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) (*.f64 x (+.f64 1 eps)))) 1))
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (*.f64 x (+.f64 1 eps)) (/.f64 1 eps)))
(*.f64 (+.f64 (*.f64 x (-.f64 -1 eps)) 1) (+.f64 -1 (/.f64 1 eps)))
(-.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) (*.f64 x (+.f64 1 eps)))) 1))
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (*.f64 x (+.f64 1 eps)) (/.f64 1 eps)))
(*.f64 (+.f64 (*.f64 x (-.f64 -1 eps)) 1) (+.f64 -1 (/.f64 1 eps)))
(-.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) (*.f64 x (+.f64 1 eps)))) 1))
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (*.f64 x (+.f64 1 eps)) (/.f64 1 eps)))
(*.f64 (+.f64 (*.f64 x (-.f64 -1 eps)) 1) (+.f64 -1 (/.f64 1 eps)))
(*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps))))
(*.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 -1 eps) 1)) x)
(*.f64 (+.f64 1 eps) (-.f64 x (/.f64 x eps)))
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) 1))
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (*.f64 x (+.f64 1 eps)) (/.f64 1 eps)))
(*.f64 (+.f64 (*.f64 x (-.f64 -1 eps)) 1) (+.f64 -1 (/.f64 1 eps)))
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) 1))
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (*.f64 x (+.f64 1 eps)) (/.f64 1 eps)))
(*.f64 (+.f64 (*.f64 x (-.f64 -1 eps)) 1) (+.f64 -1 (/.f64 1 eps)))
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) 1))
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (*.f64 x (+.f64 1 eps)) (/.f64 1 eps)))
(*.f64 (+.f64 (*.f64 x (-.f64 -1 eps)) 1) (+.f64 -1 (/.f64 1 eps)))

localize50.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 115 to 79 computations (31.3% saved)

series10.0ms (0.1%)

Counts
3 → 68
Calls

18 calls:

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

rewrite164.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
799×fma-def_binary64
327×fma-neg_binary64
282×expm1-udef_binary64
282×log1p-udef_binary64
235×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01657
136449
2526245
Stop Event
1×node limit
Counts
3 → 271
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (*.f64 (/.f64 1 eps) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (*.f64 (exp.f64 x) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 eps) (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 x) (/.f64 1 eps)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 eps -3)) (*.f64 (exp.f64 x) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 eps -2)) (*.f64 (exp.f64 x) (-.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) 1) (*.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (exp.f64 x)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 x)) (-.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 x) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 x) (-.f64 1 (pow.f64 eps -2))) (-.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 3 (+.f64 x (log1p.f64 (/.f64 1 eps))))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (*.f64 2 (+.f64 x (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (exp.f64 (*.f64 3 (+.f64 x (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 x (log1p.f64 (/.f64 1 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) (*.f64 (/.f64 1 eps) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) (*.f64 (exp.f64 x) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 eps) (exp.f64 x) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) 1 (*.f64 (/.f64 1 eps) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) 1 (*.f64 (exp.f64 x) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) (/.f64 1 eps) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (*.f64 (/.f64 1 eps) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (*.f64 (exp.f64 x) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) (*.f64 (/.f64 1 eps) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 (/.f64 1 eps) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 1 eps)))))))

simplify103.0ms (1%)

Algorithm
1×egg-herbie
Rules
834×fma-def_binary64
825×times-frac_binary64
331×distribute-rgt-in_binary64
314×distribute-lft-in_binary64
309×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01301588
14831483
217091239
374141239
Stop Event
1×node limit
Counts
339 → 311
Calls
Call 1
Inputs
(-.f64 (exp.f64 (neg.f64 x)) (+.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)))))) (exp.f64 (neg.f64 x))) (+.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 (*.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)))))) (exp.f64 (neg.f64 x)))) (+.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 (*.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 (exp.f64 (neg.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 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 x)) eps) (exp.f64 (neg.f64 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 x)) eps) (exp.f64 (neg.f64 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 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 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)) (exp.f64 (neg.f64 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 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)) (exp.f64 (neg.f64 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 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)) (exp.f64 (neg.f64 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
2
(+.f64 2 (*.f64 x (-.f64 (*.f64 -1 (+.f64 (/.f64 1 eps) 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))))))
(+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (+.f64 (/.f64 1 eps) 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))))) (*.f64 (-.f64 (*.f64 1/2 (+.f64 (/.f64 1 eps) 1)) (*.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 -1/6 (+.f64 (/.f64 1 eps) 1)) (*.f64 -1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 3)))) (pow.f64 x 3)) (+.f64 (*.f64 x (-.f64 (*.f64 -1 (+.f64 (/.f64 1 eps) 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))))) (*.f64 (-.f64 (*.f64 1/2 (+.f64 (/.f64 1 eps) 1)) (*.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 (neg.f64 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 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 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 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 -1 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 (*.f64 -1 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 (*.f64 -1 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 (*.f64 -1 x))) (*.f64 (-.f64 (/.f64 1 eps) 1) (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 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(/.f64 (exp.f64 (neg.f64 x)) eps)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) x)) 1))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) x)) (+.f64 1 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) x)) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 x 3)))))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 x)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 x)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 x)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 x)))
Outputs
(-.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (+.f64 (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 -1 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1))
(-.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)))))) (exp.f64 (neg.f64 x))) (+.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 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))))) (exp.f64 (neg.f64 x))) (*.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 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 -1 (exp.f64 x))))
(fma.f64 eps (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/2 (*.f64 x x)) x))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)))
(-.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 (*.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)))))) (exp.f64 (neg.f64 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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(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (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 (+.f64 1 (/.f64 1 eps)) (exp.f64 x)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 x))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (-.f64 (exp.f64 (neg.f64 x)) (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 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (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 (+.f64 1 (/.f64 1 eps)) (exp.f64 x)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 x))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (-.f64 (exp.f64 (neg.f64 x)) (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 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (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 (+.f64 1 (/.f64 1 eps)) (exp.f64 x)))
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)
(/.f64 (exp.f64 (neg.f64 x)) eps)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(exp.f64 (neg.f64 x))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(exp.f64 (neg.f64 x))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) x)) 1))
(+.f64 (/.f64 1 eps) (fma.f64 -1 (*.f64 x (+.f64 1 (/.f64 1 eps))) 1))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 -1 (/.f64 -1 eps)) x 1))
(*.f64 (+.f64 (neg.f64 x) 1) (+.f64 1 (/.f64 1 eps)))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) x)) (+.f64 1 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 -1 (*.f64 x (+.f64 1 (/.f64 1 eps))) 1) (*.f64 1/2 (*.f64 (*.f64 x x) (+.f64 1 (/.f64 1 eps))))))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 -1 (/.f64 -1 eps)) x (fma.f64 (+.f64 1/2 (/.f64 1/2 eps)) (*.f64 x x) 1)))
(+.f64 (/.f64 1 eps) (fma.f64 (*.f64 x x) (+.f64 1/2 (/.f64 1/2 eps)) (-.f64 1 (+.f64 x (/.f64 x eps)))))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) x)) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 x 3)))))))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 -1 (*.f64 x (+.f64 1 (/.f64 1 eps))) 1) (fma.f64 1/2 (*.f64 (*.f64 x x) (+.f64 1 (/.f64 1 eps))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 1 (/.f64 1 eps)))))))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 (+.f64 -1 (/.f64 -1 eps)) x 1) (fma.f64 (+.f64 1/2 (/.f64 1/2 eps)) (*.f64 x x) (*.f64 (pow.f64 x 3) (+.f64 -1/6 (/.f64 -1/6 eps))))))
(+.f64 (fma.f64 1/2 (*.f64 x (+.f64 x (/.f64 x eps))) (fma.f64 (pow.f64 x 3) (+.f64 -1/6 (/.f64 -1/6 eps)) 1)) (-.f64 (/.f64 1 eps) (+.f64 x (/.f64 x eps))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x))

eval796.0ms (7.7%)

Compiler

Compiled 25373 to 16866 computations (33.5% saved)

prune196.0ms (1.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New67511686
Fresh516
Picked101
Done224
Total68314697
Error
0.0b
Counts
697 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.4b
(/.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2)
▶19.4b
(*.f64 1/2 (-.f64 2 (*.f64 x x)))
▶45.6b
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
▶0.4b
(/.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) 2)
0.7b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
▶43.5b
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
▶19.1b
(/.f64 2 2)
46.0b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
0.4b
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
19.2b
(/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) 2)
61.8b
(/.f64 (*.f64 (neg.f64 x) eps) 2)
46.0b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))) (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
19.5b
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 -1 (+.f64 (/.f64 1 eps) 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))))) 2)
✓43.8b
(*.f64 1/2 0)
Compiler

Compiled 470 to 382 computations (18.7% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 47 to 13 computations (72.3% saved)

series3.0ms (0%)

Counts
2 → 17
Calls

6 calls:

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

rewrite56.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
610×pow1_binary64
569×add-log-exp_binary64
568×log1p-expm1-u_binary64
568×expm1-log1p-u_binary64
556×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0623
113015
2191215
Stop Event
1×node limit
Counts
2 → 57
Calls
Call 1
Inputs
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(*.f64 (exp.f64 (neg.f64 x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (exp.f64 x) (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 x 1))) (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (exp.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 2) (/.f64 1 (*.f64 (exp.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x 1))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x 1))) 2) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 x 1))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (exp.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 2) (*.f64 (exp.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (pow.f64 (exp.f64 x) 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 2)) (neg.f64 (*.f64 (exp.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (pow.f64 (exp.f64 x) 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (pow.f64 (exp.f64 x) 2)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (exp.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (exp.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (exp.f64 x) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) x (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) (neg.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (neg.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (neg.f64 (*.f64 x (exp.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log.f64 x)))))))

simplify77.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
590×fma-def_binary64
485×fma-neg_binary64
435×cancel-sign-sub-inv_binary64
393×distribute-lft-out_binary64
385×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039185
198174
2230159
3791142
42931142
57257142
Stop Event
1×node limit
Counts
74 → 75
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 (*.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)))
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
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) 1))
(fma.f64 (*.f64 x x) (fma.f64 x 1/3 -1/2) 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 (*.f64 x x) (fma.f64 x 1/3 -1/2) (fma.f64 -1/8 (pow.f64 x 4) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) (fma.f64 -1/8 (pow.f64 x 4) 1))
(*.f64 (exp.f64 (neg.f64 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(*.f64 (exp.f64 (*.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))
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 (pow.f64 x 3) 1/2 (-.f64 x (*.f64 x x)))
(-.f64 (fma.f64 (pow.f64 x 3) 1/2 x) (*.f64 x x))
(fma.f64 (*.f64 x x) (fma.f64 x 1/2 -1) x)
(fma.f64 x (*.f64 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 (pow.f64 x 3) 1/2 (-.f64 (fma.f64 (pow.f64 x 4) -1/6 x) (*.f64 x x)))
(fma.f64 (pow.f64 x 3) 1/2 (fma.f64 (pow.f64 x 4) -1/6 (-.f64 x (*.f64 x x))))
(fma.f64 (pow.f64 x 4) -1/6 (fma.f64 (*.f64 x x) (fma.f64 x 1/2 -1) x))
(fma.f64 x (*.f64 x (fma.f64 x 1/2 -1)) (fma.f64 (pow.f64 x 4) -1/6 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))

localize6.0ms (0.1%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 2 (*.f64 x x))
Compiler

Compiled 20 to 11 computations (45% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 2 (*.f64 x x))
1.0ms
x
@0
(-.f64 2 (*.f64 x x))
1.0ms
x
@-inf
(-.f64 2 (*.f64 x x))

rewrite149.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
570×pow1_binary64
535×add-log-exp_binary64
534×log1p-expm1-u_binary64
534×expm1-log1p-u_binary64
525×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11147
214587
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(-.f64 2 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 2 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 2 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 2 (*.f64 x x))) 2) (cbrt.f64 (-.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 2 (*.f64 x x))) (sqrt.f64 (-.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 8 (pow.f64 x 6)) (/.f64 1 (+.f64 4 (*.f64 (*.f64 x x) (+.f64 2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (pow.f64 x 4)) (/.f64 1 (+.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (*.f64 (*.f64 x x) (+.f64 2 (*.f64 x x)))) (-.f64 8 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (*.f64 x x)) (-.f64 4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8 (pow.f64 x 6)) (+.f64 4 (*.f64 (*.f64 x x) (+.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 x 4)) (+.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8 (pow.f64 x 6))) (neg.f64 (+.f64 4 (*.f64 (*.f64 x x) (+.f64 2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (pow.f64 x 4))) (neg.f64 (+.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 4 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 2 (*.f64 x (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 2 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 2 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 2 (*.f64 x x))))))))

simplify100.0ms (1%)

Algorithm
1×egg-herbie
Rules
667×distribute-lft-neg-in_binary64
648×distribute-rgt-neg-in_binary64
498×fma-neg_binary64
461×associate-*l*_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0794
11576
23376
36676
415476
543176
6153476
7313876
8447276
9607876
10694076
Stop Event
1×node limit
Counts
40 → 33
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
Outputs
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (neg.f64 (*.f64 x x)))
(-.f64 2 (*.f64 x x))
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (neg.f64 (*.f64 x x)))
(-.f64 2 (*.f64 x x))
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (neg.f64 (*.f64 x x)))
(-.f64 2 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (neg.f64 (*.f64 x x)))
(-.f64 2 (*.f64 x x))
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (neg.f64 (*.f64 x x)))
(-.f64 2 (*.f64 x x))
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (neg.f64 (*.f64 x x)))
(-.f64 2 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (neg.f64 (*.f64 x x)))
(-.f64 2 (*.f64 x x))
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (neg.f64 (*.f64 x x)))
(-.f64 2 (*.f64 x x))
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (neg.f64 (*.f64 x x)))
(-.f64 2 (*.f64 x x))

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 24 to 11 computations (54.2% saved)

localize83.0ms (0.8%)

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
(*.f64 (+.f64 1 eps) x)
0.0b
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
✓3.7b
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Compiler

Compiled 93 to 70 computations (24.7% saved)

series10.0ms (0.1%)

Counts
2 → 40
Calls

12 calls:

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

rewrite146.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
704×log-prod_binary64
604×fma-def_binary64
263×fma-neg_binary64
244×expm1-udef_binary64
244×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01349
129845
2440141
Stop Event
1×node limit
Counts
2 → 165
Calls
Call 1
Inputs
(-.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) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
Outputs
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simplify87.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
720×fma-def_binary64
688×associate-*l*_binary64
670×associate-*r*_binary64
374×associate-+l+_binary64
298×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01041296
13651202
21386993
Stop Event
1×node limit
Counts
205 → 208
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 (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 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 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 (+.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 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.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 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) (neg.f64 eps) (+.f64 1 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps))))
(-.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 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.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 -1 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 -1/2 x) x) (*.f64 -1/6 (pow.f64 x 3))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))))) 1) (+.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 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 eps) (-.f64 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 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(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 eps) (-.f64 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 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(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 eps) (-.f64 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 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(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 eps) (-.f64 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 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(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 eps) (-.f64 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 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(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 eps) (-.f64 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 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(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 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))
(fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x eps x) 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 (+.f64 (/.f64 1 eps) -1) (fma.f64 x eps x) (*.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (+.f64 (*.f64 -1/2 (/.f64 1 eps)) 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 1 eps) -1) (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 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 (+.f64 (/.f64 1 eps) -1) (fma.f64 x eps x) (*.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (+.f64 (*.f64 -1/2 (/.f64 1 eps)) 1/2))) (fma.f64 (+.f64 (*.f64 (/.f64 1 eps) 1/6) -1/6) (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)) 2))
(+.f64 2 (fma.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)) (+.f64 -1/6 (/.f64 1/6 eps)) (*.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 (/.f64 1 eps) 1) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(+.f64 (/.f64 1 eps) (-.f64 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 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(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 eps) (-.f64 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 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(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 eps) (-.f64 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 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(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 eps) (-.f64 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 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)))
(/.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 (exp.f64 (neg.f64 x)) eps) (*.f64 -1 (+.f64 (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))))
(fma.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 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))))))
(fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x))) 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 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x)))) (fma.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps)))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 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)))))))))
(fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x))) eps (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 x)) (*.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)))))))))
(+.f64 (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x)))) (fma.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps))) (*.f64 (*.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 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (fma.f64 eps (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 -1/2 x) x) (*.f64 -1/6 (pow.f64 x 3))))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x)))))
(*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))
(neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(/.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 (/.f64 1 eps) -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 (/.f64 1 eps) -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 (/.f64 1 eps) -1) (exp.f64 (fma.f64 x eps x)))
(*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))
(neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(/.f64 -1 (exp.f64 (fma.f64 x 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)))))
(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 (/.f64 1 eps) -1) (exp.f64 (fma.f64 x 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)))))
(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 (/.f64 1 eps) -1) (exp.f64 (fma.f64 x 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)))))
(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 (/.f64 1 eps) -1) (exp.f64 (fma.f64 x eps x)))
(-.f64 (/.f64 1 eps) 1)
(+.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 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) 1))
(+.f64 (/.f64 1 eps) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (fma.f64 x eps x) -1))
(*.f64 (+.f64 (*.f64 x (-.f64 -1 eps)) 1) (+.f64 (/.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 1 eps) (-.f64 (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))) 1))
(+.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) 1/2)) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x eps x))) (+.f64 (/.f64 1 eps) -1))
(+.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (-.f64 (*.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) (fma.f64 x eps x))))
(-.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 (/.f64 1 eps) (-.f64 (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2))) (fma.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))))) 1))
(+.f64 (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) (fma.f64 (+.f64 (*.f64 (/.f64 1 eps) -1/6) 1/6) (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)) (*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (fma.f64 x eps x))))) (+.f64 (/.f64 1 eps) -1))
(+.f64 (/.f64 1 eps) (+.f64 -1 (fma.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)) (+.f64 1/6 (/.f64 -1/6 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (-.f64 (*.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) (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 (/.f64 1 eps) -1) (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 (/.f64 1 eps) -1) (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 (/.f64 1 eps) -1) (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 (/.f64 1 eps) -1) (exp.f64 (fma.f64 x eps x)))

eval401.0ms (3.9%)

Compiler

Compiled 11504 to 7458 computations (35.2% saved)

prune124.0ms (1.2%)

Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New4306436
Fresh167
Picked101
Done066
Total43218450
Error
0.0b
Counts
450 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.4b
(/.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2)
✓19.4b
(*.f64 1/2 (-.f64 2 (*.f64 x x)))
▶32.8b
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
✓0.4b
(/.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) 2)
62.1b
(/.f64 (*.f64 2 (-.f64 x (*.f64 x x))) 2)
0.7b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
19.5b
(*.f64 1/2 (/.f64 (-.f64 4 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 2 (*.f64 x (neg.f64 x)))))
✓43.5b
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
✓19.1b
(/.f64 2 2)
46.0b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
▶19.5b
(/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
✓43.8b
(*.f64 1/2 0)
▶0.4b
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
19.2b
(/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) 2)
▶61.8b
(/.f64 (*.f64 (neg.f64 x) eps) 2)
46.0b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))) (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
▶61.9b
(/.f64 (*.f64 2 x) 2)
62.5b
(*.f64 1/2 (*.f64 x (neg.f64 x)))
Compiler

Compiled 491 to 386 computations (21.4% saved)

localize13.0ms (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)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite43.0ms (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))))))

simplify69.0ms (0.7%)

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)))

localize5.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize6.0ms (0.1%)

Compiler

Compiled 17 to 7 computations (58.8% saved)

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 1 eps) x)
✓0.0b
(+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))
✓0.2b
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
Compiler

Compiled 61 to 45 computations (26.2% saved)

series6.0ms (0.1%)

Counts
2 → 37
Calls

12 calls:

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

rewrite71.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
568×log-prod_binary64
341×prod-diff_binary64
328×fma-def_binary64
310×pow2_binary64
214×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01135
124933
2343829
Stop Event
1×node limit
Counts
2 → 79
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 eps) (fma.f64 eps x x)) (*.f64 -1 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 eps x x) (/.f64 1 eps)) (*.f64 (fma.f64 eps x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 eps -3) -1) (fma.f64 eps x x)) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 eps x x) (+.f64 (pow.f64 eps -3) -1)) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 eps x 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) (fma.f64 eps x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 eps) (fma.f64 eps x x) (*.f64 -1 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 eps x x) (/.f64 1 eps) (*.f64 (fma.f64 eps x x) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (-.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))) (/.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 2) (-.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2)) 2) (cbrt.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2)) (sqrt.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 3)) (/.f64 1 (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 2)) (/.f64 1 (-.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -2) 4) (+.f64 8 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) (-.f64 4 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 3)) (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 2) (-.f64 4 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 2)) (-.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 3))) (neg.f64 (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 2))) (neg.f64 (-.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 2) 4) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -2) 4) (+.f64 8 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) (-.f64 4 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 eps) (*.f64 x (+.f64 (/.f64 1 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2) (*.f64 (cbrt.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (fma.f64 eps x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) 2) (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 eps x x)) (*.f64 (sqrt.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (fma.f64 eps x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) x 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) x) (+.f64 1 eps) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 eps x x) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 eps x x) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) 1) x 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) (sqrt.f64 x)) (sqrt.f64 x) 2)))))

simplify71.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
531×sub-neg_binary64
449×fma-def_binary64
443×distribute-lft-neg-out_binary64
416×distribute-rgt-neg-in_binary64
414×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027559
174397
2222346
3865322
42361322
55124322
Stop Event
1×node limit
Counts
116 → 96
Calls
Call 1
Inputs
(/.f64 x eps)
(+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(/.f64 x eps)
(+.f64 2 (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))))
(*.f64 -1 (*.f64 eps x))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x)))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))))
(*.f64 -1 (*.f64 eps x))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x)))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))))
2
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
Outputs
(/.f64 x eps)
(+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))
(/.f64 x eps)
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(fma.f64 eps (neg.f64 x) (/.f64 x eps))
(fma.f64 x (neg.f64 eps) (/.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(fma.f64 eps (neg.f64 x) (/.f64 x eps))
(fma.f64 x (neg.f64 eps) (/.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(neg.f64 (*.f64 x eps))
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))
(neg.f64 (*.f64 x eps))
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(fma.f64 eps (neg.f64 x) (/.f64 x eps))
(fma.f64 x (neg.f64 eps) (/.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(fma.f64 eps (neg.f64 x) (/.f64 x eps))
(fma.f64 x (neg.f64 eps) (/.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(neg.f64 (*.f64 x eps))
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))
(neg.f64 (*.f64 x eps))
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(fma.f64 eps (neg.f64 x) (/.f64 x eps))
(fma.f64 x (neg.f64 eps) (/.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(fma.f64 eps (neg.f64 x) (/.f64 x eps))
(fma.f64 x (neg.f64 eps) (/.f64 x eps))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(fma.f64 eps (neg.f64 x) (/.f64 x eps))
(fma.f64 x (neg.f64 eps) (/.f64 x eps))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(fma.f64 eps (neg.f64 x) (/.f64 x eps))
(fma.f64 x (neg.f64 eps) (/.f64 x eps))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(fma.f64 eps (neg.f64 x) (/.f64 x eps))
(fma.f64 x (neg.f64 eps) (/.f64 x eps))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(fma.f64 eps (neg.f64 x) (/.f64 x eps))
(fma.f64 x (neg.f64 eps) (/.f64 x eps))
(/.f64 x eps)
(+.f64 2 (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(+.f64 (fma.f64 -1 x (+.f64 x (/.f64 x eps))) 2)
(+.f64 (+.f64 (/.f64 x eps) 0) 2)
(+.f64 (/.f64 x eps) 2)
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))))
(+.f64 (fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps)))) 2)
(+.f64 (+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps)) 2)
(+.f64 (/.f64 x eps) (-.f64 2 (*.f64 x eps)))
(-.f64 (/.f64 x eps) (fma.f64 x eps -2))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))))
(+.f64 (fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps)))) 2)
(+.f64 (+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps)) 2)
(+.f64 (/.f64 x eps) (-.f64 2 (*.f64 x eps)))
(-.f64 (/.f64 x eps) (fma.f64 x eps -2))
(*.f64 -1 (*.f64 eps x))
(neg.f64 (*.f64 x eps))
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x)))
(+.f64 (fma.f64 -1 (*.f64 x eps) (*.f64 0 x)) 2)
(-.f64 2 (*.f64 x eps))
(fma.f64 x (neg.f64 eps) 2)
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))))
(+.f64 (fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps)))) 2)
(+.f64 (+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps)) 2)
(+.f64 (/.f64 x eps) (-.f64 2 (*.f64 x eps)))
(-.f64 (/.f64 x eps) (fma.f64 x eps -2))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))))
(+.f64 (fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps)))) 2)
(+.f64 (+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps)) 2)
(+.f64 (/.f64 x eps) (-.f64 2 (*.f64 x eps)))
(-.f64 (/.f64 x eps) (fma.f64 x eps -2))
(*.f64 -1 (*.f64 eps x))
(neg.f64 (*.f64 x eps))
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x)))
(+.f64 (fma.f64 -1 (*.f64 x eps) (*.f64 0 x)) 2)
(-.f64 2 (*.f64 x eps))
(fma.f64 x (neg.f64 eps) 2)
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))))
(+.f64 (fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps)))) 2)
(+.f64 (+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps)) 2)
(+.f64 (/.f64 x eps) (-.f64 2 (*.f64 x eps)))
(-.f64 (/.f64 x eps) (fma.f64 x eps -2))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))))
(+.f64 (fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps)))) 2)
(+.f64 (+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps)) 2)
(+.f64 (/.f64 x eps) (-.f64 2 (*.f64 x eps)))
(-.f64 (/.f64 x eps) (fma.f64 x eps -2))
2
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(+.f64 (fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps)))) 2)
(+.f64 (+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps)) 2)
(+.f64 (/.f64 x eps) (-.f64 2 (*.f64 x eps)))
(-.f64 (/.f64 x eps) (fma.f64 x eps -2))
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(+.f64 (fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps)))) 2)
(+.f64 (+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps)) 2)
(+.f64 (/.f64 x eps) (-.f64 2 (*.f64 x eps)))
(-.f64 (/.f64 x eps) (fma.f64 x eps -2))
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(+.f64 (fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps)))) 2)
(+.f64 (+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps)) 2)
(+.f64 (/.f64 x eps) (-.f64 2 (*.f64 x eps)))
(-.f64 (/.f64 x eps) (fma.f64 x eps -2))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(fma.f64 eps (neg.f64 x) (/.f64 x eps))
(fma.f64 x (neg.f64 eps) (/.f64 x eps))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(fma.f64 eps (neg.f64 x) (/.f64 x eps))
(fma.f64 x (neg.f64 eps) (/.f64 x eps))
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(+.f64 (fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps)))) 2)
(+.f64 (+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps)) 2)
(+.f64 (/.f64 x eps) (-.f64 2 (*.f64 x eps)))
(-.f64 (/.f64 x eps) (fma.f64 x eps -2))
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(+.f64 (fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps)))) 2)
(+.f64 (+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps)) 2)
(+.f64 (/.f64 x eps) (-.f64 2 (*.f64 x eps)))
(-.f64 (/.f64 x eps) (fma.f64 x eps -2))
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(+.f64 (fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps)))) 2)
(+.f64 (+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps)) 2)
(+.f64 (/.f64 x eps) (-.f64 2 (*.f64 x eps)))
(-.f64 (/.f64 x eps) (fma.f64 x eps -2))

localize46.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓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)

series4.0ms (0%)

Counts
2 → 40
Calls

12 calls:

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

rewrite57.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
729×pow1_binary64
675×log1p-expm1-u_binary64
675×expm1-log1p-u_binary64
674×add-log-exp_binary64
661×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0818
116516
2213716
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(*.f64 (+.f64 eps 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (+.f64 x (*.f64 eps x))))))) (#(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 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 (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 (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 (neg.f64 (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 (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 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3) 1/3)))) (#(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 (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 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 eps x))) 2)) (cbrt.f64 (+.f64 x (*.f64 eps x))))))) (#(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 (exp.f64 (+.f64 -1 (neg.f64 eps))) x)))) (#(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 cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 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 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 (+.f64 1 (+.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 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)))))))

simplify60.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
646×distribute-rgt-in_binary64
569×cancel-sign-sub-inv_binary64
486×fma-neg_binary64
397×associate-*l*_binary64
360×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052451
1177382
2580374
32994361
Stop Event
1×node limit
Counts
98 → 81
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)
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 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 (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 eps (*.f64 x (exp.f64 (neg.f64 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 (*.f64 (*.f64 x eps) (*.f64 x eps)) (exp.f64 x)) (*.f64 (-.f64 1 (*.f64 x eps)) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (*.f64 (*.f64 1/2 (*.f64 eps eps)) 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 eps (*.f64 x (exp.f64 (neg.f64 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 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 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 (*.f64 (*.f64 x eps) (*.f64 x eps)) (exp.f64 x)) (*.f64 (-.f64 1 (*.f64 x eps)) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 (*.f64 -1/6 (pow.f64 eps 3)) x))) (*.f64 x 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 (-.f64 -1 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 (-.f64 -1 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 (-.f64 -1 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 (-.f64 -1 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))
(fma.f64 x (-.f64 -1 eps) 1)
(+.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)))
(fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (fma.f64 x (-.f64 -1 eps) 1))
(+.f64 1 (*.f64 (fma.f64 x eps x) (+.f64 (*.f64 (fma.f64 x eps x) 1/2) -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))))
(-.f64 (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)) 1)) (fma.f64 x eps x))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)) (+.f64 1 (*.f64 (fma.f64 x eps x) (+.f64 (*.f64 (fma.f64 x eps x) 1/2) -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 (-.f64 -1 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 (-.f64 -1 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 (-.f64 -1 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 (-.f64 -1 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 (-.f64 -1 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 (-.f64 -1 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 (-.f64 -1 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 (-.f64 -1 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)

eval156.0ms (1.5%)

Compiler

Compiled 5124 to 3452 computations (32.6% saved)

prune53.0ms (0.5%)

Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New2804284
Fresh077
Picked101
Done2810
Total28319302
Error
0.0b
Counts
302 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.4b
(/.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2)
36.4b
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (-.f64 1 eps)))) 2)
✓19.4b
(*.f64 1/2 (-.f64 2 (*.f64 x x)))
19.4b
(/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2)
46.0b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))) (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
62.1b
(/.f64 (*.f64 2 (-.f64 x (*.f64 x x))) 2)
0.7b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
19.5b
(*.f64 1/2 (/.f64 (-.f64 4 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 2 (*.f64 x (neg.f64 x)))))
✓43.5b
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
✓19.1b
(/.f64 2 2)
46.0b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
✓0.4b
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
19.6b
(/.f64 (+.f64 2 (*.f64 eps (neg.f64 x))) 2)
19.2b
(/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) 2)
✓61.8b
(/.f64 (*.f64 (neg.f64 x) eps) 2)
✓61.9b
(/.f64 (*.f64 2 x) 2)
0.6b
(/.f64 (*.f64 2 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)
62.5b
(*.f64 1/2 (*.f64 x (neg.f64 x)))
✓43.8b
(*.f64 1/2 0)
Compiler

Compiled 284 to 225 computations (20.8% saved)

regimes115.0ms (1.1%)

Counts
34 → 1
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 2 2)
(*.f64 1/2 0)
(/.f64 (*.f64 2 x) 2)
(*.f64 1/2 (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 x) eps) 2)
(*.f64 1/2 (-.f64 2 (*.f64 x x)))
(/.f64 (+.f64 2 (*.f64 eps (neg.f64 x))) 2)
(/.f64 (*.f64 2 (-.f64 x (*.f64 x x))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
(*.f64 1/2 (/.f64 (-.f64 4 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 2 (*.f64 x (neg.f64 x)))))
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (-.f64 1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 -1 (+.f64 (/.f64 1 eps) 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))))) 2)
(/.f64 (*.f64 2 (/.f64 x (exp.f64 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 1 eps) 1) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 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 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (*.f64 2 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)
(/.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) 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 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 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))) (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (-.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))))) 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 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2))))
(*.f64 1/2 (*.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)))))))
Outputs
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
Calls

6 calls:

34.0ms
eps
27.0ms
x
8.0ms
(-.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)))))
8.0ms
(/.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)
8.0ms
(/.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 721 to 523 computations (27.5% saved)

regimes87.0ms (0.8%)

Counts
14 → 2
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 2 2)
(*.f64 1/2 0)
(/.f64 (*.f64 2 x) 2)
(*.f64 1/2 (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 x) eps) 2)
(*.f64 1/2 (-.f64 2 (*.f64 x x)))
(/.f64 (+.f64 2 (*.f64 eps (neg.f64 x))) 2)
(/.f64 (*.f64 2 (-.f64 x (*.f64 x x))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
(*.f64 1/2 (/.f64 (-.f64 4 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 2 (*.f64 x (neg.f64 x)))))
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (-.f64 1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 -1 (+.f64 (/.f64 1 eps) 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))))) 2)
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
Outputs
(*.f64 1/2 (/.f64 (-.f64 4 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 2 (*.f64 x (neg.f64 x)))))
(*.f64 1/2 0)
Calls

2 calls:

46.0ms
eps
33.0ms
x
Results
ErrorSegmentsBranch
0.9b2x
17.4b3eps
Compiler

Compiled 147 to 104 computations (29.3% saved)

bsearch166.0ms (1.6%)

Algorithm
1×binary-search
Steps
TimeLeftRight
165.0ms
0.14772555477446112
1400.9086012288337
Compiler

Compiled 268 to 181 computations (32.5% saved)

regimes49.0ms (0.5%)

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

2 calls:

31.0ms
eps
15.0ms
x
Results
ErrorSegmentsBranch
0.9b2x
17.4b3eps
Compiler

Compiled 73 to 53 computations (27.4% saved)

bsearch164.0ms (1.6%)

Algorithm
1×binary-search
Steps
TimeLeftRight
164.0ms
0.14772555477446112
1400.9086012288337
Compiler

Compiled 164 to 141 computations (14% saved)

regimes27.0ms (0.3%)

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

2 calls:

13.0ms
eps
12.0ms
x
Results
ErrorSegmentsBranch
1.0b2x
17.4b3eps
Compiler

Compiled 34 to 26 computations (23.5% saved)

bsearch119.0ms (1.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
119.0ms
0.14772555477446112
1400.9086012288337
Compiler

Compiled 132 to 125 computations (5.3% saved)

regimes8.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

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

2 calls:

3.0ms
x
3.0ms
eps
Results
ErrorSegmentsBranch
19.1b1x
19.1b1eps
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
17×cancel-sign-sub-inv_binary64
10×distribute-rgt-neg-in_binary64
9×+-commutative_binary64
8×*-commutative_binary64
8×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03279
15373
27673
310073
412373
512873
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(if (<=.f64 x 3152519739159347/2251799813685248) (*.f64 1/2 (/.f64 (-.f64 4 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 2 (*.f64 x (neg.f64 x))))) (*.f64 1/2 0))
(if (<=.f64 x 3152519739159347/2251799813685248) (*.f64 1/2 (-.f64 2 (*.f64 x x))) (*.f64 1/2 0))
(if (<=.f64 x 1400) (/.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 3152519739159347/2251799813685248) (*.f64 1/2 (/.f64 (-.f64 4 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 2 (*.f64 x (neg.f64 x))))) (*.f64 1/2 0))
(if (<=.f64 x 3152519739159347/2251799813685248) (*.f64 1/2 (/.f64 (-.f64 4 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x x)))) (-.f64 2 (neg.f64 (*.f64 x x))))) 0)
(if (<=.f64 x 3152519739159347/2251799813685248) (*.f64 1/2 (/.f64 (-.f64 4 (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 2 (*.f64 x x)))) 0)
(if (<=.f64 x 3152519739159347/2251799813685248) (*.f64 1/2 (-.f64 2 (*.f64 x x))) (*.f64 1/2 0))
(if (<=.f64 x 3152519739159347/2251799813685248) (*.f64 1/2 (-.f64 2 (*.f64 x x))) 0)
(if (<=.f64 x 1400) (/.f64 2 2) (*.f64 1/2 0))
(if (<=.f64 x 1400) 1 0)
(/.f64 2 2)
1
Compiler

Compiled 61 to 46 computations (24.6% saved)

soundness68.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
508×distribute-rgt-in_binary64
492×distribute-lft-in_binary64
427×cancel-sign-sub-inv_binary64
386×associate-+r+_binary64
205×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01992297
16912024
224431731
Stop Event
1×node limit
Compiler

Compiled 241 to 139 computations (42.3% saved)

end38.0ms (0.4%)

Compiler

Compiled 53 to 37 computations (30.2% saved)

Profiling

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