Details

Time bar (total: 10.1s)

analyze143.0ms (1.4%)

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)

sample4.0s (40%)

Results
1.5s2044×body1024valid
1.4s4967×body256valid
506.0ms1033×body512valid
308.0ms212×body2048valid
219.0ms915×body256invalid
10.0ms18×body1024invalid
4.0ms11×body512invalid

preprocess56.0ms (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)

simplify38.0ms (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
28.8b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.8b
(/.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)
▶29.3b
(*.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)))))
Compiler

Compiled 58 to 45 computations (22.4% saved)

localize38.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
✓0.1b
(pow.f64 (exp.f64 x) (+.f64 eps -1))
✓5.1b
(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)

series81.0ms (0.8%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
28.0ms
x
@inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
24.0ms
x
@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))))
19.0ms
x
@-inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
2.0ms
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))))

rewrite85.0ms (0.8%)

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
01659
135157
2503857
Stop Event
1×node limit
Counts
3 → 78
Calls
Call 1
Inputs
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
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 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.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 x x))))) 1))))))
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simplify71.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
771×distribute-rgt-in_binary64
740×distribute-lft-in_binary64
338×associate--l+_binary64
309×fma-neg_binary64
291×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01922574
17042266
226811952
Stop Event
1×node limit
Counts
150 → 142
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
2
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2)
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 3))) (+.f64 (*.f64 1/6 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (+.f64 eps 1))) (*.f64 -1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3)))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(/.f64 -1 (*.f64 eps (exp.f64 x)))
(-.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 1 (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))))) (+.f64 1 eps))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 1 (/.f64 1 eps)))) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 1 (/.f64 1 eps)))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2)))))) (/.f64 1 eps))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps)
0
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x)))))
(+.f64 (+.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) 0) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x))))
(fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 x (/.f64 (exp.f64 x) 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 x (/.f64 (exp.f64 x) x)) -1/2 (*.f64 (/.f64 x (exp.f64 x)) (+.f64 1 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) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))) (fma.f64 -1 (*.f64 x (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))))))))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x))))
(-.f64 (+.f64 (+.f64 (fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 x (/.f64 (exp.f64 x) x))))) (/.f64 (exp.f64 (neg.f64 x)) eps)) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 1/2 (*.f64 x (*.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))) (*.f64 x (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 x (/.f64 (exp.f64 x) x)))))))) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (/.f64 x (exp.f64 x))))
(fma.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) (fma.f64 (/.f64 x (/.f64 (exp.f64 x) x)) -1/2 (*.f64 (/.f64 x (exp.f64 x)) (+.f64 1 x)))) (+.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) (*.f64 eps (*.f64 eps (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) -1/6 (*.f64 x (*.f64 x (-.f64 (*.f64 1/2 (/.f64 x (exp.f64 x))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))))))))) (/.f64 x (exp.f64 x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (+.f64 eps -1)) x))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))))
(+.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 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x))
(+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 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 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))) (neg.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))) eps))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)) eps)))
(+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) 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 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))) (neg.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))) eps))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)) eps)))
(+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) 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 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))) (neg.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))) eps))))
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2
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(fma.f64 (-.f64 (*.f64 (+.f64 eps -1) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))) x 2)
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1
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(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 (*.f64 x (/.f64 x (exp.f64 x))) (*.f64 eps eps)) (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 (pow.f64 x 3) (/.f64 (pow.f64 eps 3) (exp.f64 x))) (fma.f64 1/2 (*.f64 eps (/.f64 (*.f64 x eps) (/.f64 (exp.f64 x) x))) (*.f64 (+.f64 (*.f64 x eps) 1) (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))
(/.f64 -1 (*.f64 eps (exp.f64 x)))
(/.f64 -1 (*.f64 (exp.f64 x) eps))
(-.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps))
(fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 -1 (*.f64 (exp.f64 x) eps)))
(-.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 (fma.f64 -1 (*.f64 eps (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)))))) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x))))
(fma.f64 (neg.f64 eps) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 x (/.f64 (exp.f64 x) x)))) (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps)))
(-.f64 (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 -1 (*.f64 (exp.f64 x) eps))) (*.f64 eps (fma.f64 (/.f64 x (/.f64 (exp.f64 x) x)) -1/2 (*.f64 (/.f64 x (exp.f64 x)) (+.f64 1 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 (+.f64 (fma.f64 -1 (*.f64 eps (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)))))) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (*.f64 eps eps) (fma.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))) (fma.f64 -1 (*.f64 x (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x))))
(+.f64 (-.f64 (-.f64 (fma.f64 (*.f64 (neg.f64 eps) eps) (fma.f64 1/2 (*.f64 x (*.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))) (*.f64 x (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 x (/.f64 (exp.f64 x) x))))))) (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 x (/.f64 (exp.f64 x) x)))))) (/.f64 (exp.f64 (neg.f64 x)) eps)) (/.f64 x (exp.f64 x)))
(+.f64 (-.f64 (*.f64 eps (*.f64 x (-.f64 (*.f64 1/2 (/.f64 x (exp.f64 x))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))) (*.f64 eps (*.f64 eps (fma.f64 1/2 (*.f64 (+.f64 x 1) (/.f64 x (/.f64 (exp.f64 x) x))) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) -1/6 (*.f64 x (*.f64 x (-.f64 (*.f64 1/2 (/.f64 x (exp.f64 x))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))))))) (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 -1 (*.f64 (exp.f64 x) eps))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 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 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 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 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 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 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 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 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(-.f64 1 (/.f64 1 eps))
(+.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 (neg.f64 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps))))) (/.f64 1 eps))
(+.f64 1 (fma.f64 (neg.f64 (+.f64 1 (/.f64 -1 eps))) (fma.f64 eps x x) (/.f64 -1 eps)))
(*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))
(-.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 -1 (+.f64 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps))) (*.f64 (*.f64 x x) (fma.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (*.f64 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))))))) (/.f64 1 eps))
(+.f64 1 (fma.f64 -1 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 eps x x) (*.f64 x (*.f64 x (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)))))) (/.f64 -1 eps)))
(+.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) 1) (fma.f64 (*.f64 x x) (neg.f64 (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 -1/2 (/.f64 1/2 eps)))) (/.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 (fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps))) (fma.f64 -1 (*.f64 (pow.f64 x 3) (fma.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (*.f64 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps))))))) (*.f64 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3)) -1/3))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (*.f64 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps))))))))))) (/.f64 1 eps))
(+.f64 1 (+.f64 (neg.f64 (fma.f64 (pow.f64 x 3) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (*.f64 (pow.f64 (+.f64 1 eps) 3) -1/3)) (*.f64 (+.f64 1 eps) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2))))) (*.f64 x (*.f64 x (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2))))))) (fma.f64 (neg.f64 (+.f64 1 (/.f64 -1 eps))) (fma.f64 eps x x) (/.f64 -1 eps))))
(+.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (+.f64 -1/2 (/.f64 1/2 eps))) (*.f64 -1/3 (*.f64 (pow.f64 (+.f64 1 eps) 3) (+.f64 -1 (/.f64 1 eps))))) x) (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 -1/2 (/.f64 1/2 eps))))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (*.f64 x (-.f64 -1 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)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.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)))

localize57.0ms (0.6%)

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
(*.f64 (-.f64 1 eps) x)
✓2.7b
(-.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)

series17.0ms (0.2%)

Counts
4 → 76
Calls

24 calls:

TimeVariablePointExpression
3.0ms
eps
@0
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
2.0ms
eps
@inf
(*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
1.0ms
x
@0
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
1.0ms
x
@-inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
1.0ms
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)))))

rewrite109.0ms (1.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01876
141269
2598169
Stop Event
1×node limit
Counts
4 → 174
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)
(*.f64 (+.f64 1 eps) x)
(*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (neg.f64 (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (neg.f64 (+.f64 (/.f64 1 eps) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (neg.f64 (+.f64 (/.f64 1 eps) -1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 (+.f64 1 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simplify74.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
520×distribute-rgt-in_binary64
503×distribute-lft-in_binary64
462×associate-+r+_binary64
440×cancel-sign-sub-inv_binary64
229×associate--l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01872360
16372095
222901702
Stop Event
1×node limit
Counts
250 → 229
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)
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) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) eps) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x))))))
(+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) eps) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))))))
(*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))
(+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps))
(+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps))
(+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps))
(*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (/.f64 1 eps) 1)
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2)))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))))) 1)
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))))) 1)
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))
Outputs
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (*.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))) (*.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))))
(-.f64 (fma.f64 (*.f64 eps eps) (-.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 (pow.f64 x 5) (/.f64 1/120 (exp.f64 x))) (*.f64 (/.f64 (pow.f64 x 4) (exp.f64 x)) 1/12))) (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x))) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) 1))) (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))) (*.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)))) (+.f64 (*.f64 -1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7))) (*.f64 -1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))))) (pow.f64 eps 6)) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))
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2
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(-.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 (/.f64 1 eps) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps 1) 2))) (fma.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))))) -1)
(+.f64 (fma.f64 (+.f64 (*.f64 (/.f64 1 eps) 1/2) -1/2) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (-.f64 (*.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 (pow.f64 (+.f64 eps 1) 3) -1/6)) (pow.f64 x 3)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x)))) (+.f64 -1 (/.f64 1 eps)))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (-.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3))) (fma.f64 x eps x))) (fma.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (+.f64 -1/2 (/.f64 1/2 eps)) -1)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))
(fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))
(fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))
(fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))
(fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))

eval423.0ms (4.2%)

Compiler

Compiled 14703 to 10540 computations (28.3% saved)

prune244.0ms (2.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3638371
Fresh000
Picked101
Done101
Total3658373
Error
0b
Counts
373 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
46.9b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (-.f64 (/.f64 1 eps) 1)) 2)
▶0.4b
(/.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2)
▶0.8b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
0.4b
(*.f64 1/2 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))))
▶46.9b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) 2)
▶44.6b
(*.f64 1/2 0)
▶0.3b
(/.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)
18.1b
(/.f64 2 2)
Compiler

Compiled 282 to 216 computations (23.4% saved)

localize26.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 97 to 31 computations (68% saved)

series2.0ms (0%)

Counts
1 → 8
Calls

3 calls:

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

rewrite39.0ms (0.4%)

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

Useful iterations: 2 (0.0ms)

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

simplify45.0ms (0.4%)

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

Useful iterations: 3 (0.0ms)

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

localize31.0ms (0.3%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize15.0ms (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
@-inf
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))
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))

rewrite54.0ms (0.5%)

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)))))))

simplify101.0ms (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))

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 x (-.f64 -1 eps))
0.0b
(*.f64 (-.f64 1 eps) x)
✓0.1b
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))
✓5.0b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)))
Compiler

Compiled 138 to 103 computations (25.4% saved)

series8.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite110.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
442×fma-neg_binary64
351×expm1-udef_binary64
351×log1p-udef_binary64
218×add-sqr-sqrt_binary64
215×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01863
142359
2629659
Stop Event
1×node limit
Counts
3 → 142
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))
(*.f64 x (-.f64 -1 eps))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1) (*.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (-.f64 -1 eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (pow.f64 eps 3)) x) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 -1 (pow.f64 eps 3))) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 -1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 -1 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 -1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 x (-.f64 -1 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 -1 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (-.f64 -1 eps) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (-.f64 -1 eps) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x (-.f64 -1 eps) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 -1 eps) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 -1 eps) 1)) 2) (cbrt.f64 (fma.f64 x (-.f64 -1 eps) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (-.f64 -1 eps) 1)) (sqrt.f64 (fma.f64 x (-.f64 -1 eps) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 x (-.f64 -1 eps)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2) (-.f64 1 (*.f64 x (-.f64 -1 eps))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2) -1) (/.f64 1 (fma.f64 x (-.f64 -1 eps) -1)) -1)))))

simplify108.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
663×fma-def_binary64
576×associate-+l+_binary64
439×associate-*l*_binary64
425×associate--r+_binary64
422×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01241810
14381577
215991355
Stop Event
1×node limit
Counts
214 → 193
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 (/.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 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 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 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2)))))))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (+.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (+.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (+.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) 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 (/.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)
(*.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)
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 x)
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
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 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))) (/.f64 1 eps)) (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps)))))
(+.f64 (*.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 (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 (expm1.f64 (neg.f64 x)) eps)) (+.f64 x (+.f64 1 (-.f64 (/.f64 x eps) x))))
(-.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 (*.f64 1/2 x) x))) x) (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 (expm1.f64 (neg.f64 x)) eps))) (+.f64 x (+.f64 1 (-.f64 (/.f64 x eps) x))))
(-.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 (*.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)))))) (*.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 (*.f64 eps (+.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 (*.f64 1/2 x) x))) x) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 1/6 (pow.f64 x 3)))) eps))) (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 (expm1.f64 (neg.f64 x)) eps))) (+.f64 x (+.f64 1 (-.f64 (/.f64 x eps) x))))
(*.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 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (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 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.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)) eps) (-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.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 0 (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))))
(-.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 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.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)) eps) (-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.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 0 (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))))
(*.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 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (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)))))
(+.f64 (-.f64 (-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (fma.f64 -1 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (-.f64 1 x)) eps)) (*.f64 x eps)) (neg.f64 x)) (-.f64 1 x))
(+.f64 (/.f64 (+.f64 (expm1.f64 (-.f64 (*.f64 x eps) x)) x) eps) (+.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)))))
(+.f64 (-.f64 (-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (fma.f64 -1 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (-.f64 1 x)) eps)) (*.f64 x eps)) (neg.f64 x)) (-.f64 1 x))
(+.f64 (/.f64 (+.f64 (expm1.f64 (-.f64 (*.f64 x eps) x)) x) eps) (+.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 (fma.f64 x eps x) -1)) 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 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))))))
(fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps))) 2)
(fma.f64 x (fma.f64 (+.f64 1 (/.f64 -1 eps)) (-.f64 -1 eps) (+.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))) 2)
(+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))))))
(+.f64 2 (fma.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)))) x (*.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (*.f64 (*.f64 x x) (pow.f64 (-.f64 eps 1) 2)))))
(+.f64 2 (fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps))) (*.f64 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) (+.f64 1/2 (*.f64 (/.f64 1 eps) 1/2)))))
(fma.f64 x (fma.f64 (+.f64 1 (/.f64 -1 eps)) (-.f64 -1 eps) (+.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))) (fma.f64 (*.f64 (+.f64 1/2 (/.f64 1/2 eps)) (*.f64 x x)) (pow.f64 (+.f64 -1 eps) 2) 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 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2)))))))
(+.f64 2 (fma.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)))) x (fma.f64 1/6 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps 1) 3))) (*.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (*.f64 (*.f64 x x) (pow.f64 (-.f64 eps 1) 2))))))
(+.f64 (fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps))) 2) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 2))) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 eps) 3)) 1/6))))
(+.f64 2 (fma.f64 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) (+.f64 1/2 (/.f64 1/2 eps)) (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) (-.f64 (/.f64 x eps) x)) (*.f64 (-.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 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.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 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) 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 (/.f64 1 eps)) (fma.f64 x eps x) 1)) (/.f64 -1 eps))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (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 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) 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 (/.f64 1 eps)) (fma.f64 x eps x) 1)) (/.f64 -1 eps))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (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 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) 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 (/.f64 1 eps)) (fma.f64 x eps x) 1)) (/.f64 -1 eps))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (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 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.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 (/.f64 1 eps)) (fma.f64 x eps x) 1)) (/.f64 -1 eps))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (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 (/.f64 1 eps)) (fma.f64 x eps x) 1)) (/.f64 -1 eps))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (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 (/.f64 1 eps)) (fma.f64 x eps x) 1)) (/.f64 -1 eps))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (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 (/.f64 1 eps) (+.f64 -1 (-.f64 (-.f64 x (/.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 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))
(+.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 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))
(*.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 (+.f64 -1 (fma.f64 x eps x)) 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))))))
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(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))
(+.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))))))
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(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))
(*.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 (+.f64 -1 (fma.f64 x eps x)) 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 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))
(+.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 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))
(-.f64 (/.f64 1 eps) 1)
(+.f64 (/.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) (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 (/.f64 1 eps)) (+.f64 (*.f64 x (-.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) (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 (/.f64 1 eps)) (+.f64 (*.f64 x (-.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) (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 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))
(*.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 (fma.f64 x eps x) (+.f64 (/.f64 -1 eps) 1))
(*.f64 (-.f64 (/.f64 x eps) x) (-.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) (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 (/.f64 1 eps)) (+.f64 (*.f64 x (-.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 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 (/.f64 1 eps)) (+.f64 (*.f64 x (-.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 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 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))
(*.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 (fma.f64 x eps x) (+.f64 (/.f64 -1 eps) 1))
(*.f64 (-.f64 (/.f64 x eps) x) (-.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) (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 (/.f64 1 eps)) (+.f64 (*.f64 x (-.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 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 (/.f64 1 eps)) (+.f64 (*.f64 x (-.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 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 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 (neg.f64 x) eps)
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 (neg.f64 x) eps)
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))

localize39.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 94 to 68 computations (27.7% saved)

series2.0ms (0%)

Counts
1 → 20
Calls

6 calls:

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

rewrite49.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
595×pow1_binary64
552×log1p-expm1-u_binary64
552×expm1-log1p-u_binary64
551×add-log-exp_binary64
540×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11227
215267
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (+.f64 eps 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 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 (+.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 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 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 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)))))))

simplify51.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
14×fma-def_binary64
4×associate-*r*_binary64
4×associate-*l*_binary64
3×*-lft-identity_binary64
3×*-rgt-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0894
11694
22394
32994
44294
54694
64894
Stop Event
1×saturated
Counts
39 → 24
Calls
Call 1
Inputs
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
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)

eval204.0ms (2%)

Compiler

Compiled 11452 to 8572 computations (25.1% saved)

prune61.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3377344
Fresh303
Picked101
Done314
Total3448352
Error
0b
Counts
352 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
14.0b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2)
▶0.3b
(/.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) 2)
▶59.6b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 x eps)) 2)
✓44.6b
(*.f64 1/2 0)
▶18.1b
(/.f64 2 2)
▶59.8b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (/.f64 (-.f64 1 x) eps)) 2)
▶0.3b
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
18.5b
(/.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)
Compiler

Compiled 253 to 199 computations (21.3% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 47 to 13 computations (72.3% saved)

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 34 to 22 computations (35.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite44.0ms (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))))))

simplify59.0ms (0.6%)

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)))

localize37.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 87 to 59 computations (32.2% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite106.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
717×log-prod_binary64
669×fma-def_binary64
259×fma-neg_binary64
243×expm1-udef_binary64
242×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01346
129740
2422436
Stop Event
1×node limit
Counts
2 → 217
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 x eps))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (*.f64 eps (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (*.f64 (*.f64 eps (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (fma.f64 eps (neg.f64 x) (fma.f64 x (neg.f64 eps) (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (*.f64 eps x)) (fma.f64 x (neg.f64 eps) (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (*.f64 eps x)) (fma.f64 (*.f64 eps (neg.f64 x)) 1 (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (*.f64 eps x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps x))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 eps -3)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.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 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.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))) (pow.f64 (exp.f64 x) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (+.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)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (-.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.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 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (pow.f64 eps -2))) (-.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))))))

simplify74.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
567×fma-def_binary64
508×times-frac_binary64
464×distribute-rgt-out_binary64
409×associate-+l+_binary64
398×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0911463
12781397
29381098
348111074
Stop Event
1×node limit
Counts
265 → 260
Calls
Call 1
Inputs
(/.f64 (exp.f64 (neg.f64 x)) eps)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))
(+.f64 (*.f64 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 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 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.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 (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 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) eps)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) eps)))
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) eps) x)))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) eps) x) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2)))))))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) eps) x) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))))))))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 -1 (*.f64 eps x)))
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 -1 (*.f64 eps x)))
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 -1 (*.f64 eps x)))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))
(/.f64 (exp.f64 (neg.f64 x)) eps)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))
(+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) eps) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))))) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) eps) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) eps))
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) eps))
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) eps))
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x)))))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
Outputs
(/.f64 (exp.f64 (neg.f64 x)) eps)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))
(+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(fma.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 (+.f64 x 1) (exp.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 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) 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) (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x)))))
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(fma.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)))) (+.f64 (*.f64 (+.f64 x 1) (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)))) (/.f64 (exp.f64 (neg.f64 x)) eps))))
(fma.f64 eps (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 3))))) (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 x (*.f64 x 1/2)))) (/.f64 (exp.f64 (neg.f64 x)) eps))))
(fma.f64 (*.f64 eps eps) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) (+.f64 (*.f64 1/6 x) 1/2)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (fma.f64 eps (*.f64 (+.f64 (*.f64 1/2 x) 1) (/.f64 x (exp.f64 x))) (/.f64 (+.f64 x 1) (exp.f64 x)))))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))
(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 1 eps)) (neg.f64 x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) eps))
(+.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) eps))
(+.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) eps))
(+.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))))
(+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1))))
(*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 eps -1) 1))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x)))))
(+.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 1/2 (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 x x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))))
(+.f64 (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 1 (/.f64 1 eps))) (*.f64 1/2 (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (fma.f64 x (+.f64 eps -1) 1) (*.f64 x (*.f64 (*.f64 x (pow.f64 (+.f64 eps -1) 2)) 1/2))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (fma.f64 x (+.f64 eps -1) 1) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (+.f64 eps -1) 2) 1/2))))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))))))
(+.f64 (+.f64 1 (/.f64 1 eps)) (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 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2)) (*.f64 x x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1))))))
(+.f64 (+.f64 (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 1 (/.f64 1 eps))) (*.f64 1/2 (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2))))) (*.f64 1/6 (*.f64 (pow.f64 x 3) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 3)))))
(+.f64 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 eps -1) 3) (+.f64 1/6 (/.f64 1/6 eps)))) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (fma.f64 x (+.f64 eps -1) 1) (*.f64 x (*.f64 (*.f64 x (pow.f64 (+.f64 eps -1) 2)) 1/2)))))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (+.f64 eps -1) 2) (+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 1/6 (*.f64 (pow.f64 x 3) (+.f64 eps -1)))))) (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 eps -1) 1)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))

localize90.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
✓0.0b
(/.f64 (-.f64 1 x) eps)
0.0b
(*.f64 (-.f64 1 eps) x)
✓5.9b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (/.f64 (-.f64 1 x) eps))
Compiler

Compiled 96 to 69 computations (28.1% saved)

series11.0ms (0.1%)

Counts
2 → 36
Calls

12 calls:

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

rewrite117.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
805×log-prod_binary64
646×fma-def_binary64
296×fma-neg_binary64
274×expm1-udef_binary64
272×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01436
132333
2486831
Stop Event
1×node limit
Counts
2 → 169
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (/.f64 (-.f64 1 x) eps))
(/.f64 (-.f64 1 x) eps)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 (neg.f64 (-.f64 1 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (*.f64 (/.f64 (neg.f64 (-.f64 1 x)) eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 (-.f64 1 x) eps)) (fma.f64 (/.f64 (neg.f64 (-.f64 1 x)) eps) 1 (/.f64 (-.f64 1 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 (-.f64 1 x) eps)) (fma.f64 (neg.f64 (/.f64 1 eps)) (-.f64 1 x) (/.f64 (-.f64 1 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 (-.f64 1 x) eps)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 1 x) eps))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) eps)) 2) (/.f64 (-.f64 1 x) eps)))))) 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(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (/.f64 (neg.f64 (-.f64 1 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (*.f64 (/.f64 (neg.f64 (-.f64 1 x)) eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (/.f64 (neg.f64 (-.f64 1 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (/.f64 (neg.f64 (-.f64 1 x)) eps) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 eps) (neg.f64 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) eps))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) eps))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 x) eps)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 eps) (/.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 eps) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) eps)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) eps)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) eps)) (sqrt.f64 (/.f64 (-.f64 1 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 eps -1/2) (/.f64 (-.f64 1 x) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 x) (cbrt.f64 (pow.f64 eps -2))) (/.f64 1 (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 x) (pow.f64 eps -1/2)) (pow.f64 eps -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 eps (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 1 eps))) (exp.f64 (/.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 x) eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 eps) (neg.f64 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 eps) 1 (neg.f64 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (pow.f64 eps -2)) (neg.f64 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (neg.f64 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (neg.f64 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 eps)) (neg.f64 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 eps) 2) -1) (pow.f64 (cbrt.f64 eps) -1) (neg.f64 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 eps) -1) (pow.f64 (sqrt.f64 eps) -1) (neg.f64 (/.f64 x eps)))))))

simplify78.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
818×times-frac_binary64
395×associate-*l*_binary64
382×associate-*r*_binary64
329×fma-def_binary64
319×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
087976
1273936
2901733
34829700
Stop Event
1×node limit
Counts
205 → 198
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) x) 1) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (/.f64 x eps)))) (/.f64 1 eps))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) eps) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (/.f64 x eps))))) (/.f64 1 eps))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))))) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) eps) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (/.f64 x eps)))))) (/.f64 1 eps))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (/.f64 x eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (/.f64 x eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (/.f64 x eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (-.f64 1 x))) eps)))
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (-.f64 1 x))) eps)))
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (-.f64 1 x))) eps)))
1
(+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1))) x))
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1))) x) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))))))
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1))) x) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2)))))))
(/.f64 x eps)
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 x eps)) (/.f64 1 eps))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 x eps)) (/.f64 1 eps))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 x eps)) (/.f64 1 eps))
(/.f64 x eps)
(-.f64 (+.f64 (/.f64 x eps) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 (/.f64 x eps) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 (/.f64 x eps) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps)))
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps)))
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps)))
(*.f64 -1 (/.f64 x eps))
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps)))
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps)))
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps)))
(*.f64 -1 (/.f64 x eps))
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps)))
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps)))
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps)))
Outputs
(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) x) 1) eps)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 x 1)) eps)
(/.f64 (+.f64 x (-.f64 (exp.f64 (neg.f64 x)) 1)) eps)
(/.f64 (+.f64 x (expm1.f64 (neg.f64 x))) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (/.f64 x eps)))) (/.f64 1 eps))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 (neg.f64 x)) x (/.f64 x eps))) (/.f64 1 eps)))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (+.f64 (/.f64 x eps) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (/.f64 -1 eps)))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 x eps)) (/.f64 -1 eps)))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (/.f64 (+.f64 x -1) eps) (/.f64 (+.f64 x 1) (exp.f64 x))))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) eps) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (/.f64 x eps))))) (/.f64 1 eps))
(-.f64 (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 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 (neg.f64 x)) x (/.f64 x eps))))) (/.f64 1 eps))
(+.f64 (+.f64 (+.f64 (/.f64 x eps) (*.f64 (+.f64 x 1) (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)))) (/.f64 (exp.f64 (neg.f64 x)) eps))) (/.f64 -1 eps))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (-.f64 (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 x (*.f64 x 1/2)))) (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 x eps))) (/.f64 1 eps)))
(+.f64 (+.f64 (/.f64 (+.f64 x -1) eps) (/.f64 (+.f64 x 1) (exp.f64 x))) (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 (*.f64 1/2 x) x))) (/.f64 (exp.f64 (neg.f64 x)) eps)))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))))) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) eps) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (/.f64 x eps)))))) (/.f64 1 eps))
(-.f64 (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x))) (fma.f64 (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 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 (neg.f64 x)) x (/.f64 x eps)))))) (/.f64 1 eps))
(+.f64 (fma.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)))) (+.f64 (+.f64 (/.f64 x eps) (*.f64 (+.f64 x 1) (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)))) (/.f64 (exp.f64 (neg.f64 x)) eps)))) (/.f64 -1 eps))
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(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
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(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (/.f64 x eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
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(fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 x -1) eps))
(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 1 eps)) (neg.f64 x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (-.f64 1 x))) eps)))
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(-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps))) (/.f64 (-.f64 1 x) eps))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 x -1) eps))
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (-.f64 1 x))) eps)))
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(fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 x -1) eps))
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (-.f64 1 x))) eps)))
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(-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps))) (/.f64 (-.f64 1 x) eps))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 x -1) eps))
1
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(+.f64 1 (*.f64 x (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)))))
(fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (/.f64 1 eps)) 1)
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(+.f64 1 (fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (/.f64 1 eps)) (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps -1) 2))))))
(fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (/.f64 1 eps)) (fma.f64 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps -1) 2)) (+.f64 1/2 (/.f64 1/2 eps)) 1))
(fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (/.f64 1 eps)) (fma.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (/.f64 1/2 eps))) (pow.f64 (+.f64 eps -1) 2) 1))
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1))) x) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2)))))))
(+.f64 1 (fma.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1))) x (fma.f64 1/6 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps -1) 3))) (*.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps -1) 2))))))
(+.f64 1 (fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (/.f64 1 eps)) (fma.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps -1) 2))) (*.f64 1/6 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps -1) 3)))))))
(+.f64 1 (fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x (*.f64 x 1/2))) (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps -1) 3)))))))
(+.f64 (fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (/.f64 1 eps)) 1) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 (*.f64 1/2 x) x)) (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps -1) 3))))))
(/.f64 x eps)
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 x eps)) (/.f64 1 eps))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (+.f64 (/.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (/.f64 1 eps)))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (+.f64 (/.f64 x eps) (/.f64 -1 eps))))
(-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps))) (/.f64 (-.f64 1 x) eps))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 x -1) eps))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 x eps)) (/.f64 1 eps))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (+.f64 (/.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (/.f64 1 eps)))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (+.f64 (/.f64 x eps) (/.f64 -1 eps))))
(-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps))) (/.f64 (-.f64 1 x) eps))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 x -1) eps))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 x eps)) (/.f64 1 eps))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (+.f64 (/.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (/.f64 1 eps)))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (+.f64 (/.f64 x eps) (/.f64 -1 eps))))
(-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps))) (/.f64 (-.f64 1 x) eps))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 x -1) eps))
(/.f64 x eps)
(-.f64 (+.f64 (/.f64 x eps) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (+.f64 (/.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (/.f64 1 eps)))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (+.f64 (/.f64 x eps) (/.f64 -1 eps))))
(-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps))) (/.f64 (-.f64 1 x) eps))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 x -1) eps))
(-.f64 (+.f64 (/.f64 x eps) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (+.f64 (/.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (/.f64 1 eps)))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (+.f64 (/.f64 x eps) (/.f64 -1 eps))))
(-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps))) (/.f64 (-.f64 1 x) eps))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 x -1) eps))
(-.f64 (+.f64 (/.f64 x eps) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (+.f64 (/.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (/.f64 1 eps)))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (+.f64 (/.f64 x eps) (/.f64 -1 eps))))
(-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps))) (/.f64 (-.f64 1 x) eps))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 x -1) eps))
(/.f64 1 eps)
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(-.f64 (/.f64 1 eps) (/.f64 x eps))
(/.f64 (-.f64 1 x) eps)
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps)))
(+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps))
(-.f64 (/.f64 1 eps) (/.f64 x eps))
(/.f64 (-.f64 1 x) eps)
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps)))
(+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps))
(-.f64 (/.f64 1 eps) (/.f64 x eps))
(/.f64 (-.f64 1 x) eps)
(*.f64 -1 (/.f64 x eps))
(/.f64 (neg.f64 x) eps)
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps)))
(+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps))
(-.f64 (/.f64 1 eps) (/.f64 x eps))
(/.f64 (-.f64 1 x) eps)
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps)))
(+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps))
(-.f64 (/.f64 1 eps) (/.f64 x eps))
(/.f64 (-.f64 1 x) eps)
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps)))
(+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps))
(-.f64 (/.f64 1 eps) (/.f64 x eps))
(/.f64 (-.f64 1 x) eps)
(*.f64 -1 (/.f64 x eps))
(/.f64 (neg.f64 x) eps)
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps)))
(+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps))
(-.f64 (/.f64 1 eps) (/.f64 x eps))
(/.f64 (-.f64 1 x) eps)
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps)))
(+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps))
(-.f64 (/.f64 1 eps) (/.f64 x eps))
(/.f64 (-.f64 1 x) eps)
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps)))
(+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps))
(-.f64 (/.f64 1 eps) (/.f64 x eps))
(/.f64 (-.f64 1 x) eps)

eval793.0ms (7.9%)

Compiler

Compiled 18241 to 12007 computations (34.2% saved)

prune219.0ms (2.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New6373640
Fresh022
Picked101
Done235
Total6408648
Error
0b
Counts
648 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓18.1b
(/.f64 2 2)
▶37.4b
(/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) 2)
▶14.0b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2)
▶54.8b
(/.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1))) x)) 2)
✓44.6b
(*.f64 1/2 0)
▶0.3b
(/.f64 (*.f64 2 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)
✓0.3b
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
▶18.5b
(/.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)
Compiler

Compiled 204 to 166 computations (18.6% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓3.4b
(-.f64 (log1p.f64 x) x)
Compiler

Compiled 31 to 12 computations (61.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (log1p.f64 x) x)
1.0ms
x
@inf
(-.f64 (log1p.f64 x) x)
1.0ms
x
@-inf
(-.f64 (log1p.f64 x) x)

rewrite41.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
513×pow1_binary64
496×add-sqr-sqrt_binary64
480×add-log-exp_binary64
480×expm1-log1p-u_binary64
479×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
1896
212746
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(-.f64 (log1p.f64 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) x)) 2) (cbrt.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 x) x)) (sqrt.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x x)) (+.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x x))) (neg.f64 (+.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (log1p.f64 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (log1p.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 x))))))

simplify56.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
626×fma-def_binary64
435×sub-neg_binary64
432×fma-neg_binary64
347×cancel-sign-sub-inv_binary64
253×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045180
1127154
2327151
31097145
43868145
57558145
Stop Event
1×node limit
Counts
47 → 54
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4))))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4)))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 x) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 x) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 x) (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 x) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
Outputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 1/3 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))
(*.f64 (*.f64 x x) (fma.f64 x 1/3 -1/2))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/4 (pow.f64 x 4))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x))))
(fma.f64 -1/4 (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) (*.f64 -1/4 (pow.f64 x 4)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x)))))
(fma.f64 1/5 (pow.f64 x 5) (fma.f64 -1/4 (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 -1/4 (pow.f64 x 4) (*.f64 1/5 (pow.f64 x 5))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 x))
(*.f64 -1 (+.f64 (neg.f64 (log.f64 x)) x))
(-.f64 (log.f64 x) x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 x) (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1 x (/.f64 1 x)))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 x) x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 x) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1 x (/.f64 1 x))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 x) x) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/2 x) x)))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 x) (+.f64 x (/.f64 1/2 (*.f64 x x)))))
(-.f64 (log.f64 x) (+.f64 (/.f64 (/.f64 1/2 x) x) (+.f64 x (/.f64 -1 x))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 -1 x)))
(*.f64 -1 (+.f64 (neg.f64 (log.f64 x)) x))
(-.f64 (log.f64 x) x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 x) (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1 x (/.f64 1 x)))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 x) x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 x) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1 x (/.f64 1 x))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 x) x) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/2 x) x)))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 x) (+.f64 x (/.f64 1/2 (*.f64 x x)))))
(-.f64 (log.f64 x) (+.f64 (/.f64 (/.f64 1/2 x) x) (+.f64 x (/.f64 -1 x))))

localize32.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1))
✓2.6b
(+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)))
Compiler

Compiled 90 to 68 computations (24.4% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite71.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
425×log-prod_binary64
412×fma-def_binary64
344×pow-prod-down_binary64
320×exp-prod_binary64
238×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0832
118730
2280130
Stop Event
1×node limit
Counts
2 → 136
Calls
Call 1
Inputs
(+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (/.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 eps -2) (-.f64 (/.f64 1 eps) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)))) (/.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) 2) (-.f64 (/.f64 1 eps) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (/.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (/.f64 1 eps))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (/.f64 1 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (/.f64 1 eps))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (/.f64 1 eps))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) 3)) (/.f64 1 (fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (/.f64 1 eps)) (pow.f64 eps -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) 2)) (/.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (/.f64 1 eps)) (pow.f64 eps -2)) (+.f64 (pow.f64 eps -3) (pow.f64 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(*.f64 (*.f64 1/2 (+.f64 (log1p.f64 (/.f64 1 eps)) (log.f64 (+.f64 eps -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (+.f64 (log1p.f64 (/.f64 1 eps)) (log.f64 (+.f64 eps -1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log.f64 (+.f64 eps -1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log.f64 (+.f64 eps -1))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 eps -1) (*.f64 (/.f64 1 eps) (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 eps -1) (*.f64 (+.f64 eps -1) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (+.f64 1 (/.f64 1 eps)) (*.f64 -1 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 eps) (+.f64 eps -1) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 1 eps)) eps (*.f64 (+.f64 1 (/.f64 1 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 eps -1) 1 (*.f64 (/.f64 1 eps) (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 eps -1) 1 (*.f64 (+.f64 eps -1) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 eps -1) (/.f64 1 eps) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 eps -1)) (pow.f64 (cbrt.f64 (+.f64 eps -1)) 2) (*.f64 (/.f64 1 eps) (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 eps -1)) (pow.f64 (cbrt.f64 (+.f64 eps -1)) 2) (*.f64 (+.f64 eps -1) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 eps -1)) 2) (cbrt.f64 (+.f64 eps -1)) (*.f64 (/.f64 1 eps) (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 eps -1)) 2) (cbrt.f64 (+.f64 eps -1)) (*.f64 (+.f64 eps -1) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 eps -1)) (sqrt.f64 (+.f64 eps -1)) (*.f64 (/.f64 1 eps) (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 eps -1)) (sqrt.f64 (+.f64 eps -1)) (*.f64 (+.f64 eps -1) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 eps 3) -1) (/.f64 1 (+.f64 (fma.f64 eps eps 1) eps)) (*.f64 (/.f64 1 eps) (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 eps 3) -1) (/.f64 1 (+.f64 (fma.f64 eps eps 1) eps)) (*.f64 (+.f64 eps -1) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 eps eps -1) (/.f64 1 (+.f64 1 eps)) (*.f64 (/.f64 1 eps) (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 eps eps -1) (/.f64 1 (+.f64 1 eps)) (*.f64 (+.f64 eps -1) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 eps) 1) (-.f64 (sqrt.f64 eps) 1) (*.f64 (/.f64 1 eps) (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 eps) 1) (-.f64 (sqrt.f64 eps) 1) (*.f64 (+.f64 eps -1) (/.f64 1 eps)))))))

simplify17.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×associate-/r*_binary64
12×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0781
11181
21581
32381
43381
55081
68781
712681
817281
921681
1025981
1126181
Stop Event
1×saturated
Counts
160 → 140
Calls
Call 1
Inputs
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(/.f64 -1 eps)
(-.f64 eps (/.f64 1 eps))
(-.f64 eps (/.f64 1 eps))
(-.f64 eps (/.f64 1 eps))
eps
(-.f64 eps (/.f64 1 eps))
(-.f64 eps (/.f64 1 eps))
(-.f64 eps (/.f64 1 eps))
eps
(-.f64 eps (/.f64 1 eps))
(-.f64 eps (/.f64 1 eps))
(-.f64 eps (/.f64 1 eps))
Outputs
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(/.f64 -1 eps)
(-.f64 eps (/.f64 1 eps))
(+.f64 eps (/.f64 -1 eps))
(-.f64 eps (/.f64 1 eps))
(+.f64 eps (/.f64 -1 eps))
(-.f64 eps (/.f64 1 eps))
(+.f64 eps (/.f64 -1 eps))
eps
(-.f64 eps (/.f64 1 eps))
(+.f64 eps (/.f64 -1 eps))
(-.f64 eps (/.f64 1 eps))
(+.f64 eps (/.f64 -1 eps))
(-.f64 eps (/.f64 1 eps))
(+.f64 eps (/.f64 -1 eps))
eps
(-.f64 eps (/.f64 1 eps))
(+.f64 eps (/.f64 -1 eps))
(-.f64 eps (/.f64 1 eps))
(+.f64 eps (/.f64 -1 eps))
(-.f64 eps (/.f64 1 eps))
(+.f64 eps (/.f64 -1 eps))

localize88.0ms (0.9%)

Local error

Found 1 expressions with local error:

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

Compiled 36 to 25 computations (30.6% saved)

localize48.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 127 to 89 computations (29.9% saved)

series10.0ms (0.1%)

Counts
3 → 51
Calls

15 calls:

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

rewrite118.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
651×fma-neg_binary64
269×expm1-udef_binary64
268×log1p-udef_binary64
203×add-sqr-sqrt_binary64
200×*-un-lft-identity_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01762
139446
2657344
Stop Event
1×node limit
Counts
3 → 182
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 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 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 -1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 -1 (+.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 -1 (+.f64 x x))) (/.f64 (pow.f64 (+.f64 -1 x) 2) (+.f64 -1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 -1 (+.f64 x x)) 2) (/.f64 1 (+.f64 -1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (+.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 x x))) 2) (cbrt.f64 (+.f64 -1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 x x))) 2) (neg.f64 (cbrt.f64 (+.f64 -1 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (+.f64 x x))) (sqrt.f64 (+.f64 -1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (+.f64 x x))) (neg.f64 (sqrt.f64 (+.f64 -1 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 -1 (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (+.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (+.f64 -1 (+.f64 x x)))) (sqrt.f64 (+.f64 -1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 x x))) 2)) (cbrt.f64 (+.f64 -1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 -1 (+.f64 x x)))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -1 (+.f64 x x)) (pow.f64 (+.f64 -1 (+.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 -1 (+.f64 x x)) 2) (+.f64 -1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3)) (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 -1 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3)) (+.f64 (pow.f64 (+.f64 -1 x) 2) (fma.f64 x x (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 -1 (+.f64 x x)) 2)) (+.f64 -1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3))) (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 -1 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 -1 (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3)) (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 -1 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 -1 x) 2) (*.f64 x x)) (+.f64 -1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (+.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1 (+.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (+.f64 -1 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 x) (exp.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (+.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -1 (+.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (+.f64 -1 x) 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simplify56.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
478×fma-def_binary64
378×unswap-sqr_binary64
345×associate-*l*_binary64
334×sub-neg_binary64
307×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
075932
1267830
2920666
34583656
Stop Event
1×node limit
Counts
233 → 221
Calls
Call 1
Inputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(-.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (exp.f64 (neg.f64 x))))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(*.f64 -1 (*.f64 eps x))
(*.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)) (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)) (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 eps (*.f64 -1 eps)) 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 (-.f64 (+.f64 eps (*.f64 -1 eps)) 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (+.f64 (*.f64 (-.f64 (+.f64 eps (*.f64 -1 eps)) 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(*.f64 -1 (*.f64 eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(*.f64 -1 (*.f64 eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (exp.f64 (neg.f64 x)))))
(*.f64 -1 (*.f64 eps x))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
1
(+.f64 1 (*.f64 (-.f64 (+.f64 eps (*.f64 -1 eps)) 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 (+.f64 eps (*.f64 -1 eps)) 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 (+.f64 eps (*.f64 -1 eps)) 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x)))
(*.f64 -1 (*.f64 eps x))
Outputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(-.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (+.f64 x (+.f64 (neg.f64 x) 1))))
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (fma.f64 eps (*.f64 x (+.f64 -1 (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x))) (*.f64 -1 (+.f64 x (+.f64 (neg.f64 x) 1))))
(-.f64 (fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (exp.f64 (neg.f64 x))) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) 1))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 (*.f64 eps eps) (exp.f64 (neg.f64 x))) (*.f64 x x)) (fma.f64 eps (*.f64 x (+.f64 -1 (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))) (*.f64 -1 (+.f64 x (+.f64 (neg.f64 x) 1))))
(-.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 eps eps))) (fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (exp.f64 (neg.f64 x)))) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) 1) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (*.f64 x eps) (*.f64 x eps))) 1) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (*.f64 (/.f64 x (exp.f64 x)) (+.f64 (*.f64 (*.f64 eps (*.f64 eps 1/2)) x) eps)) (*.f64 x eps)) 1))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (exp.f64 (neg.f64 x))))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 (*.f64 eps eps) (exp.f64 (neg.f64 x))) (*.f64 x x)) (fma.f64 eps (*.f64 x (+.f64 -1 (exp.f64 (neg.f64 x)))) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (exp.f64 (neg.f64 x))))) (*.f64 -1 (+.f64 x (+.f64 (neg.f64 x) 1))))
(-.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 eps eps))) (fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3))) (exp.f64 (neg.f64 x))))) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x (*.f64 (/.f64 x (exp.f64 x)) (*.f64 eps eps))) (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (*.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) 1) (exp.f64 (neg.f64 x))))))
(+.f64 1 (+.f64 (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) (+.f64 (*.f64 (*.f64 1/6 (pow.f64 eps 3)) x) (*.f64 eps (*.f64 eps 1/2))))))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 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 (neg.f64 x) 1))))
(-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (*.f64 x eps)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 1 (*.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 (neg.f64 x) 1))))
(-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (*.f64 x eps)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 1 (*.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 (neg.f64 x) 1))))
(-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (*.f64 x eps)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 1 (*.f64 x eps)))
2
(+.f64 2 (*.f64 (-.f64 (+.f64 eps (*.f64 -1 eps)) 1) x))
(+.f64 2 (*.f64 x (+.f64 (*.f64 0 eps) -1)))
(fma.f64 -1 x 2)
(-.f64 2 x)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 (-.f64 (+.f64 eps (*.f64 -1 eps)) 1) x)))
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps -1) 2)) (+.f64 2 (*.f64 x (+.f64 (*.f64 0 eps) -1))))
(fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) (fma.f64 -1 x 2))
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 -1 eps) 2)) (-.f64 2 x))
(-.f64 (fma.f64 (pow.f64 (+.f64 -1 eps) 2) (*.f64 x (*.f64 x 1/2)) 2) x)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (+.f64 (*.f64 (-.f64 (+.f64 eps (*.f64 -1 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 2 (fma.f64 (+.f64 (*.f64 0 eps) -1) x (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps -1) 3))))))
(+.f64 (fma.f64 (*.f64 1/6 (pow.f64 (+.f64 -1 eps) 3)) (pow.f64 x 3) (neg.f64 x)) (fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) 2))
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 -1 eps) 2)) (-.f64 (fma.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 eps) 3)) 2) x))
(fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) (-.f64 (fma.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 eps) 3)) 2) x))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (+.f64 x (+.f64 (neg.f64 x) 1))))
(-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (*.f64 x eps)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 1 (*.f64 x eps)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (+.f64 x (+.f64 (neg.f64 x) 1))))
(-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (*.f64 x eps)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 1 (*.f64 x eps)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (+.f64 x (+.f64 (neg.f64 x) 1))))
(-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (*.f64 x eps)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 1 (*.f64 x eps)))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (+.f64 x (+.f64 (neg.f64 x) 1))))
(-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (*.f64 x eps)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 1 (*.f64 x eps)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (+.f64 x (+.f64 (neg.f64 x) 1))))
(-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (*.f64 x eps)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 1 (*.f64 x eps)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (+.f64 x (+.f64 (neg.f64 x) 1))))
(-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (*.f64 x eps)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 1 (*.f64 x eps)))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x)))
(fma.f64 eps (*.f64 x (+.f64 -1 (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (exp.f64 (neg.f64 x)))
(fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (*.f64 (*.f64 (*.f64 eps eps) (exp.f64 (neg.f64 x))) (*.f64 x x)) (fma.f64 eps (*.f64 x (+.f64 -1 (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 eps eps))) (fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (exp.f64 (neg.f64 x))))
(fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (*.f64 x eps) (*.f64 x eps))) 1) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (/.f64 x (exp.f64 x)) (+.f64 (*.f64 (*.f64 eps (*.f64 eps 1/2)) x) eps)) (*.f64 x eps)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (*.f64 (*.f64 (*.f64 eps eps) (exp.f64 (neg.f64 x))) (*.f64 x x)) (fma.f64 eps (*.f64 x (+.f64 -1 (exp.f64 (neg.f64 x)))) (fma.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 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 eps eps))) (fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3))) (exp.f64 (neg.f64 x)))))
(fma.f64 1/2 (*.f64 x (*.f64 (/.f64 x (exp.f64 x)) (*.f64 eps eps))) (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (*.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) 1) (exp.f64 (neg.f64 x)))))
(+.f64 (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) (+.f64 (*.f64 (*.f64 1/6 (pow.f64 eps 3)) x) (*.f64 eps (*.f64 eps 1/2)))))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps))
(-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps))
(-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps))
(-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (*.f64 x eps))
1
(+.f64 1 (*.f64 (-.f64 (+.f64 eps (*.f64 -1 eps)) 1) x))
(+.f64 1 (*.f64 x (+.f64 (*.f64 0 eps) -1)))
(-.f64 1 x)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 (+.f64 eps (*.f64 -1 eps)) 1) x)))
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps -1) 2)) (+.f64 1 (*.f64 x (+.f64 (*.f64 0 eps) -1))))
(fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) (-.f64 1 x))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 -1 eps) 2)) 1) x)
(-.f64 (fma.f64 (pow.f64 (+.f64 -1 eps) 2) (*.f64 x (*.f64 x 1/2)) 1) x)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 (+.f64 eps (*.f64 -1 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 (*.f64 0 eps) -1) x (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps -1) 3))))))
(+.f64 (fma.f64 (*.f64 1/6 (pow.f64 (+.f64 -1 eps) 3)) (pow.f64 x 3) (neg.f64 x)) (fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) 1))
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 -1 eps) 2)) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 eps) 3)) (-.f64 1 x)))
(fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 eps) 3)) (-.f64 1 x)))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x)))
(fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps))
(-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x)))
(fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps))
(-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x)))
(fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps))
(-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (*.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))

localize29.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 79 to 42 computations (46.8% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite100.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
615×log-prod_binary64
574×prod-diff_binary64
364×fma-def_binary64
206×pow1/3_binary64
199×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01421
129317
2400317
Stop Event
1×node limit
Counts
1 → 111
Calls
Call 1
Inputs
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps)))))
Outputs
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x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) eps))) (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) eps))) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) eps))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (pow.f64 (exp.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (pow.f64 (exp.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) eps))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) eps))) (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) eps))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) eps))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (pow.f64 (exp.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) -1) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) eps)) 2) (exp.f64 (fma.f64 (-.f64 1 eps) x (*.f64 eps x))))) (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) eps)) 2) (exp.f64 (fma.f64 (-.f64 1 eps) x (*.f64 eps x))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps))) (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) eps))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) eps))) (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) eps))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) eps))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 x) eps))) (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))))

simplify53.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
424×distribute-rgt-in_binary64
397×distribute-lft-in_binary64
370×cancel-sign-sub-inv_binary64
305×fma-neg_binary64
281×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071623
1229556
2694514
33156514
Stop Event
1×node limit
Counts
135 → 129
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (pow.f64 x 2))) (pow.f64 eps 2)))))
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/6 (pow.f64 x 3)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (pow.f64 x 2))) (pow.f64 eps 2))))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) (*.f64 1/6 (pow.f64 eps 3))) (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2)))))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
Outputs
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (neg.f64 x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (neg.f64 x)) 1))
(+.f64 1 (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (exp.f64 (neg.f64 x))))
(fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (pow.f64 x 2))) (pow.f64 eps 2)))))
(fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (neg.f64 x)) (+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (*.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (neg.f64 (*.f64 (*.f64 x x) -1/2))) (*.f64 eps eps))))
(+.f64 (fma.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 1/2 (exp.f64 x)) 1/2)) (*.f64 eps eps) (exp.f64 (neg.f64 x))) (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (neg.f64 x)) 1))
(+.f64 1 (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (fma.f64 eps (*.f64 (*.f64 x x) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) 1/2 1/2) eps)) (exp.f64 (neg.f64 x)))))
(+.f64 1 (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (fma.f64 eps (*.f64 eps (*.f64 (*.f64 x 1/2) (+.f64 x (/.f64 x (exp.f64 x))))) (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/6 (pow.f64 x 3)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (pow.f64 x 2))) (pow.f64 eps 2))))))
(fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (neg.f64 x)) (+.f64 1 (fma.f64 (pow.f64 eps 3) (*.f64 1/6 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (neg.f64 (*.f64 (*.f64 x x) -1/2))) (*.f64 eps eps))))))
(+.f64 (fma.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1/6 (exp.f64 x)) 1/6)) (fma.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 1/2 (exp.f64 x)) 1/2)) (*.f64 eps eps) (exp.f64 (neg.f64 x)))) (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (neg.f64 x)) 1))
(+.f64 (fma.f64 eps (*.f64 (*.f64 x x) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) 1/2 1/2) eps)) (exp.f64 (neg.f64 x))) (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (fma.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (+.f64 -1/6 (/.f64 1/6 (exp.f64 x)))) 1)))
(+.f64 1 (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (fma.f64 eps (*.f64 eps (*.f64 (*.f64 x 1/2) (+.f64 x (/.f64 x (exp.f64 x))))) (fma.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (+.f64 -1/6 (/.f64 1/6 (exp.f64 x)))) (exp.f64 (neg.f64 x))))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 (neg.f64 x) 2)
(-.f64 2 x)
(+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2))))
(+.f64 2 (fma.f64 -1 x (*.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 eps -1) 2)) (*.f64 1/2 (*.f64 eps eps))))))
(+.f64 2 (-.f64 (*.f64 x (*.f64 x (*.f64 1/2 (+.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 eps eps))))) x))
(-.f64 (fma.f64 (*.f64 x x) (*.f64 1/2 (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 eps -1) 2))) 2) x)
(fma.f64 1/2 (*.f64 (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 eps -1) 2)) (*.f64 x x)) (-.f64 2 x))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) (*.f64 1/6 (pow.f64 eps 3))) (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2)))))
(fma.f64 (*.f64 1/6 (-.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 eps 3))) (pow.f64 x 3) (+.f64 2 (fma.f64 -1 x (*.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 eps -1) 2)) (*.f64 1/2 (*.f64 eps eps)))))))
(+.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 1/2 (+.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 eps eps))))) x) (fma.f64 (pow.f64 x 3) (*.f64 1/6 (-.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 eps 3))) 2))
(fma.f64 1/6 (*.f64 (pow.f64 x 3) (-.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 eps 3))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 1/2 (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 eps -1) 2))) 2) x))
(fma.f64 1/6 (*.f64 (pow.f64 x 3) (-.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 eps 3))) (fma.f64 1/2 (*.f64 (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 eps -1) 2)) (*.f64 x x)) (-.f64 2 x)))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))

eval494.0ms (4.9%)

Compiler

Compiled 17902 to 10550 computations (41.1% saved)

prune334.0ms (3.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New6484652
Fresh000
Picked101
Done347
Total6528660
Error
0b
Counts
660 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
54.9b
(/.f64 (+.f64 1 (*.f64 eps x)) 2)
49.8b
(/.f64 (exp.f64 (neg.f64 (*.f64 x (neg.f64 eps)))) 2)
18.5b
(/.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x)))) 2)
✓44.6b
(*.f64 1/2 0)
✓18.1b
(/.f64 2 2)
✓0.3b
(/.f64 (*.f64 2 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)
✓0.3b
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
14.0b
(/.f64 (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) 2)
Compiler

Compiled 88 to 68 computations (22.7% saved)

regimes104.0ms (1%)

Counts
24 → 1
Calls
Call 1
Inputs
(/.f64 2 2)
(*.f64 1/2 0)
(/.f64 2 2)
(/.f64 (+.f64 1 (*.f64 eps x)) 2)
(/.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1))) x)) 2)
(/.f64 (exp.f64 (neg.f64 (*.f64 x (neg.f64 eps)))) 2)
(/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) 2)
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(/.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2)
(/.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 x eps)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (/.f64 (-.f64 1 x) eps)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (-.f64 (/.f64 1 eps) 1)) 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)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) 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 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (+.f64 (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)))))
Outputs
(/.f64 (*.f64 2 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)
Calls

6 calls:

25.0ms
x
25.0ms
eps
9.0ms
(-.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)))))
9.0ms
(/.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)
7.0ms
(/.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
0.3b1x
0.3b1eps
0.3b1(/.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)
0.3b1(/.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)
0.3b1(-.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)))))
0.3b1(-.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 501 to 362 computations (27.7% saved)

regimes49.0ms (0.5%)

Counts
15 → 1
Calls
Call 1
Inputs
(/.f64 2 2)
(*.f64 1/2 0)
(/.f64 2 2)
(/.f64 (+.f64 1 (*.f64 eps x)) 2)
(/.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1))) x)) 2)
(/.f64 (exp.f64 (neg.f64 (*.f64 x (neg.f64 eps)))) 2)
(/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) 2)
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(/.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2)
(/.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 x eps)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (/.f64 (-.f64 1 x) eps)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (-.f64 (/.f64 1 eps) 1)) 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)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) 2)
Outputs
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
Calls

2 calls:

19.0ms
eps
17.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
0.3b1eps
Compiler

Compiled 214 to 164 computations (23.4% saved)

regimes52.0ms (0.5%)

Accuracy

Total -61.5b remaining (-9625.8%)

Threshold costs -61.5b (-9625.8%)

Counts
7 → 2
Calls
Call 1
Inputs
(/.f64 2 2)
(*.f64 1/2 0)
(/.f64 2 2)
(/.f64 (+.f64 1 (*.f64 eps x)) 2)
(/.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1))) x)) 2)
(/.f64 (exp.f64 (neg.f64 (*.f64 x (neg.f64 eps)))) 2)
(/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) 2)
Outputs
(/.f64 2 2)
(*.f64 1/2 0)
Calls

2 calls:

30.0ms
eps
18.0ms
x
Results
ErrorSegmentsBranch
0.6b2x
15.6b5eps
Compiler

Compiled 60 to 48 computations (20% saved)

bsearch80.0ms (0.8%)

Algorithm
1×binary-search
Steps
TimeLeftRight
80.0ms
0.0149149702586619
189900022279.4794
Compiler

Compiled 156 to 149 computations (4.5% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02238
12838
23238
33438
43538
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 2 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(if (<=.f64 x 185000000000) (/.f64 2 2) (*.f64 1/2 0))
(/.f64 2 2)
Outputs
(/.f64 (*.f64 2 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(if (<=.f64 x 185000000000) (/.f64 2 2) (*.f64 1/2 0))
(if (<=.f64 x 185000000000) 1 0)
(/.f64 2 2)
1
Compiler

Compiled 34 to 29 computations (14.7% saved)

soundness65.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
520×distribute-rgt-in_binary64
503×distribute-lft-in_binary64
462×associate-+r+_binary64
440×cancel-sign-sub-inv_binary64
229×associate--l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01872360
16372095
222901702
Stop Event
1×node limit
Compiler

Compiled 241 to 139 computations (42.3% saved)

end29.0ms (0.3%)

Compiler

Compiled 28 to 23 computations (17.9% saved)

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