Details

Time bar (total: 11.7s)

analyze151.0ms (1.3%)

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)

sample5.1s (44.1%)

Results
2.5s2051×body1024valid
1.3s4936×body256valid
642.0ms1039×body512valid
377.0ms230×body2048valid
221.0ms879×body256invalid
12.0ms18×body1024invalid
7.0ms16×body512invalid

preprocess52.0ms (0.4%)

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)

simplify35.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02045
15745
215937
354137
4169737
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))

eval1.0ms (0%)

Compiler

Compiled 56 to 43 computations (23.2% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
29.5b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.1b
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
▶29.6b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Compiler

Compiled 58 to 45 computations (22.4% saved)

localize43.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (/.f64 -1 eps))
✓0.0b
(pow.f64 (exp.f64 x) (+.f64 eps -1))
✓0.0b
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
✓4.3b
(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)

series73.0ms (0.6%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
27.0ms
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))))
25.0ms
x
@-inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
7.0ms
x
@-inf
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
2.0ms
x
@0
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
2.0ms
eps
@0
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))

rewrite80.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01666
135164
2503864
Stop Event
1×node limit
Counts
4 → 120
Calls
Call 1
Inputs
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(+.f64 1 (/.f64 -1 eps))
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)))))))))) 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simplify67.0ms (0.6%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01932643
17042335
226812021
Stop Event
1×node limit
Counts
204 → 184
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
2
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2)
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 3))) (+.f64 (*.f64 1/6 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (+.f64 eps 1))) (*.f64 -1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3)))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(/.f64 -1 (*.f64 eps (exp.f64 x)))
(-.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 1 (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))))) (+.f64 1 eps))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 1 (/.f64 1 eps)))) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 1 (/.f64 1 eps)))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2)))))) (/.f64 1 eps))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
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 eps)
(-.f64 1 (/.f64 1 eps))
(-.f64 1 (/.f64 1 eps))
(-.f64 1 (/.f64 1 eps))
1
(-.f64 1 (/.f64 1 eps))
(-.f64 1 (/.f64 1 eps))
(-.f64 1 (/.f64 1 eps))
1
(-.f64 1 (/.f64 1 eps))
(-.f64 1 (/.f64 1 eps))
(-.f64 1 (/.f64 1 eps))
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps)
0
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x))))
(+.f64 (+.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) 0) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x))))
(fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 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 (*.f64 x x) 1/2))) (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 (*.f64 x x) 1/2))) (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 (*.f64 1/2 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))) (exp.f64 (*.f64 x (+.f64 eps -1))))
(+.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)))))
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2
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1
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(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 x (+.f64 eps -1)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 x (+.f64 eps -1)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 x (+.f64 eps -1)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 x (+.f64 eps -1)))
(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 eps)
(-.f64 1 (/.f64 1 eps))
(+.f64 1 (/.f64 -1 eps))
(-.f64 1 (/.f64 1 eps))
(+.f64 1 (/.f64 -1 eps))
(-.f64 1 (/.f64 1 eps))
(+.f64 1 (/.f64 -1 eps))
1
(-.f64 1 (/.f64 1 eps))
(+.f64 1 (/.f64 -1 eps))
(-.f64 1 (/.f64 1 eps))
(+.f64 1 (/.f64 -1 eps))
(-.f64 1 (/.f64 1 eps))
(+.f64 1 (/.f64 -1 eps))
1
(-.f64 1 (/.f64 1 eps))
(+.f64 1 (/.f64 -1 eps))
(-.f64 1 (/.f64 1 eps))
(+.f64 1 (/.f64 -1 eps))
(-.f64 1 (/.f64 1 eps))
(+.f64 1 (/.f64 -1 eps))

localize76.0ms (0.7%)

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 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
✓0.0b
(*.f64 (-.f64 1 eps) x)
✓2.4b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Compiler

Compiled 143 to 106 computations (25.9% saved)

series16.0ms (0.1%)

Counts
4 → 80
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
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)))))
1.0ms
eps
@inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))

rewrite110.0ms (0.9%)

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
01889
141279
2598179
Stop Event
1×node limit
Counts
4 → 167
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 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (neg.f64 (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (neg.f64 (+.f64 (/.f64 1 eps) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (neg.f64 (+.f64 (/.f64 1 eps) -1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 (+.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (*.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 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 eps -3)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 eps -2)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) 1) (*.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(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 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (-.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 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 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (-.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 (*.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 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 (*.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 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 1))))))

simplify83.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
610×distribute-rgt-in_binary64
591×distribute-lft-in_binary64
440×cancel-sign-sub-inv_binary64
228×associate--l+_binary64
221×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02092990
17082633
226222142
Stop Event
1×node limit
Counts
247 → 240
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)
(/.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))
(/.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 (+.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)))))
(-.f64 (fma.f64 (pow.f64 eps 4) (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (fma.f64 (-.f64 (fma.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (*.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)))) (fma.f64 -1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) -1/720))) (pow.f64 eps 6) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))))) (*.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))))
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(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))
(+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps))
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)) (/.f64 (exp.f64 (neg.f64 x)) eps))
(+.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))))
(fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) eps (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)))
(+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (fma.f64 eps (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)))
(fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)) (/.f64 (exp.f64 (neg.f64 x)) eps)))
(+.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)))))
(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)))) (fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) eps (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))))
(fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (fma.f64 eps (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))))
(fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 -1/6 (pow.f64 x 3)))) (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)) (/.f64 (exp.f64 (neg.f64 x)) eps))))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (-.f64 eps 1))
(+.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 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps))
(+.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 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps))
(+.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 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 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 eps 1)) 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 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 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 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 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 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps))
(+.f64 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
(/.f64 (+.f64 eps 1) eps)
(+.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 (/.f64 1 eps)) (*.f64 x (-.f64 eps 1)))))
(*.f64 (+.f64 (*.f64 x (-.f64 eps 1)) 1) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (/.f64 (+.f64 eps 1) eps))
(+.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 (fma.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x x) (pow.f64 (-.f64 eps 1) 2))) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 eps 1))))))
(+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 eps 1)) 1) (+.f64 1 (/.f64 1 eps))) (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 eps 1) 2)) (*.f64 (*.f64 x x) 1/2)))
(*.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (*.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (-.f64 eps 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 eps) (+.f64 1 (fma.f64 1/6 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps 1) 3))) (fma.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x x) (pow.f64 (-.f64 eps 1) 2))) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 eps 1)))))))
(+.f64 (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 eps 1)) 1) (+.f64 1 (/.f64 1 eps))) (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 eps 1) 2)) (*.f64 (*.f64 x x) 1/2))) (*.f64 1/6 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps 1) 3)))))
(+.f64 (*.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (*.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (-.f64 eps 1) 2)))))) (*.f64 (*.f64 (pow.f64 (-.f64 eps 1) 3) (+.f64 1/6 (/.f64 1/6 eps))) (pow.f64 x 3)))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps))

eval542.0ms (4.6%)

Compiler

Compiled 16408 to 11682 computations (28.8% saved)

prune83.0ms (0.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4159424
Fresh000
Picked101
Done101
Total4179426
Error
0.0b
Counts
426 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(*.f64 1/2 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))))
45.7b
(/.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)
▶0.3b
(/.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2)
▶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)
16.6b
(/.f64 2 2)
▶46.5b
(*.f64 1/2 0)
▶1.2b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
48.9b
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (*.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (-.f64 eps 1) 2)))))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
▶46.0b
(/.f64 (-.f64 (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (/.f64 (+.f64 eps 1) eps)) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Compiler

Compiled 384 to 288 computations (25% saved)

localize28.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 97 to 31 computations (68% saved)

series5.0ms (0%)

Counts
3 → 26
Calls

9 calls:

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

rewrite66.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
725×pow1_binary64
677×add-log-exp_binary64
675×log1p-expm1-u_binary64
675×expm1-log1p-u_binary64
663×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01044
122024
2347424
Stop Event
1×node limit
Counts
3 → 122
Calls
Call 1
Inputs
(*.f64 (exp.f64 (neg.f64 x)) x)
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 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(*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (/.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (pow.f64 (exp.f64 x) 2) x))))))) (#(struct:change 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simplify47.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
915×fma-neg_binary64
874×fma-def_binary64
654×cancel-sign-sub-inv_binary64
473×associate-*l*_binary64
439×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053303
1141277
2337254
31141225
44415225
Stop Event
1×node limit
Counts
148 → 98
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)
-1
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) 1)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))) 1)
(*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x))
(*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (exp.f64 (neg.f64 x)) x)
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(*.f64 x (-.f64 1 x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) x))
(fma.f64 1/2 (pow.f64 x 3) (-.f64 x (*.f64 x x)))
(-.f64 (fma.f64 1/2 (pow.f64 x 3) x) (*.f64 x x))
(fma.f64 (*.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)))
(fma.f64 (*.f64 x 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))
-1
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(fma.f64 1/2 (*.f64 x x) -1)
(fma.f64 (*.f64 x x) 1/2 -1)
(fma.f64 x (*.f64 x 1/2) -1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) 1)
(+.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/3)) -1)
(fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 3) -1/3 -1))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 x (*.f64 x 1/2) -1))
(fma.f64 x (*.f64 x (fma.f64 x -1/3 1/2)) -1)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/3))) -1)
(fma.f64 (pow.f64 x 4) 1/8 (fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 3) -1/3 -1)))
(fma.f64 (pow.f64 x 4) 1/8 (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 x (*.f64 x 1/2) -1)))
(fma.f64 x (*.f64 x (fma.f64 x -1/3 1/2)) (fma.f64 (pow.f64 x 4) 1/8 -1))
(*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x))
(neg.f64 (*.f64 x (exp.f64 (neg.f64 x))))
(*.f64 x (/.f64 -1 (exp.f64 x)))
(/.f64 (neg.f64 x) (exp.f64 x))
(*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x))
(neg.f64 (*.f64 x (exp.f64 (neg.f64 x))))
(*.f64 x (/.f64 -1 (exp.f64 x)))
(/.f64 (neg.f64 x) (exp.f64 x))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))
(neg.f64 (*.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 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))
(neg.f64 (*.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 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))
(neg.f64 (*.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))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 x (*.f64 x -1/2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 3) 1/3)))
(+.f64 (fma.f64 (*.f64 x x) -1/2 1) (*.f64 (pow.f64 x 3) 1/3))
(fma.f64 (pow.f64 x 3) 1/3 (fma.f64 x (*.f64 x -1/2) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 (fma.f64 (*.f64 x x) -1/2 1) (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 4) -1/8)))
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/3) -1/2))))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) (fma.f64 (pow.f64 x 4) -1/8 1))
(*.f64 (exp.f64 (neg.f64 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(/.f64 (+.f64 x 1) (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 x 1))
(/.f64 (+.f64 x 1) (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 x 1))
(/.f64 (+.f64 x 1) (exp.f64 x))

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize17.0ms (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)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite46.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

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

simplify76.0ms (0.6%)

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))

localize54.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 eps 1) eps)
0.0b
(*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
✓0.1b
(*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (/.f64 (+.f64 eps 1) eps))
✓3.3b
(-.f64 (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (/.f64 (+.f64 eps 1) eps)) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Compiler

Compiled 140 to 85 computations (39.3% saved)

series18.0ms (0.2%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
9.0ms
eps
@-inf
(/.f64 (+.f64 eps 1) eps)
1.0ms
x
@-inf
(-.f64 (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (/.f64 (+.f64 eps 1) eps)) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
1.0ms
x
@inf
(-.f64 (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (/.f64 (+.f64 eps 1) eps)) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
1.0ms
x
@0
(-.f64 (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (/.f64 (+.f64 eps 1) eps)) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
1.0ms
eps
@-inf
(-.f64 (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (/.f64 (+.f64 eps 1) eps)) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))

rewrite178.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
618×fma-neg_binary64
343×log1p-udef_binary64
340×expm1-udef_binary64
219×add-sqr-sqrt_binary64
216×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01867
144063
2667563
Stop Event
1×node limit
Counts
3 → 161
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (/.f64 (+.f64 eps 1) eps)) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (/.f64 (+.f64 eps 1) eps))
(/.f64 (+.f64 eps 1) eps)
Outputs
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simplify61.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
609×associate-*l*_binary64
588×associate-*r*_binary64
579×fma-def_binary64
331×distribute-rgt-in_binary64
313×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01381432
14861305
216821195
Stop Event
1×node limit
Counts
221 → 210
Calls
Call 1
Inputs
2
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(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 eps 1) (-.f64 eps 1)) eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))))))
(+.f64 (*.f64 1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 eps 1) (-.f64 eps 1)) eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2)))))))
(/.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 eps 1) x)) eps)
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (/.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 eps 1) x)) eps))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (/.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 eps 1) x)) eps))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (/.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 eps 1) x)) eps))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) eps))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) eps)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) eps)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) eps)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(/.f64 (-.f64 1 (+.f64 (exp.f64 (neg.f64 x)) x)) eps)
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 x))) (/.f64 x eps)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps (-.f64 x (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))))))) (+.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 x eps)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps (-.f64 x (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))))))))) (+.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 x eps)))))
(*.f64 eps x)
(-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps x))) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps x))) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps))))
(*.f64 eps x)
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) (+.f64 (*.f64 eps x) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) (+.f64 (*.f64 eps x) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (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) eps)
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x)) eps) 1))
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x)) eps) 1))
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x)) eps) 1))
(/.f64 (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x)) eps)
(+.f64 (/.f64 1 eps) (+.f64 1 (/.f64 (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x)) eps)))
(+.f64 (/.f64 1 eps) (+.f64 1 (/.f64 (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x)) eps)))
(+.f64 (/.f64 1 eps) (+.f64 1 (/.f64 (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x)) eps)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (+.f64 1 eps) x)) eps))
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(+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (+.f64 1 eps) x)) eps))))
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(/.f64 (-.f64 1 x) eps)
(-.f64 (+.f64 (/.f64 1 eps) 1) (/.f64 x eps))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps x))) (/.f64 x eps))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps x))) (/.f64 x eps))
(*.f64 eps x)
(+.f64 1 (*.f64 eps x))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps x))) (/.f64 x eps))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps x))) (/.f64 x eps))
(*.f64 eps x)
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) (*.f64 eps x))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) (*.f64 eps x))) (/.f64 x eps))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) (*.f64 eps x))) (/.f64 x eps))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) 1)
1
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) 1)
1
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) 1)
Outputs
2
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 eps 1) (-.f64 eps 1)) eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) 2)
(fma.f64 (-.f64 (/.f64 (*.f64 (+.f64 eps -1) (+.f64 eps 1)) eps) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)))) x 2)
(fma.f64 (+.f64 (*.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 eps -1)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 eps 1))) x 2)
(fma.f64 (fma.f64 (/.f64 (-.f64 1 eps) eps) (+.f64 eps 1) (+.f64 (+.f64 eps -1) (+.f64 1 (/.f64 -1 eps)))) x 2)
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 eps 1) (-.f64 eps 1)) eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))))))
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(fma.f64 (+.f64 (*.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 eps -1)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 eps 1))) x (fma.f64 -1/2 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 (fma.f64 eps x x) (fma.f64 eps x x))) 2))
(fma.f64 (fma.f64 (/.f64 (-.f64 1 eps) eps) (+.f64 eps 1) (+.f64 (+.f64 eps -1) (+.f64 1 (/.f64 -1 eps)))) x (fma.f64 (*.f64 (fma.f64 eps x x) (fma.f64 eps x x)) (+.f64 1/2 (/.f64 -1/2 eps)) 2))
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(fma.f64 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)) (+.f64 -1/6 (/.f64 1/6 eps)) (fma.f64 (fma.f64 (/.f64 (-.f64 1 eps) eps) (+.f64 eps 1) (+.f64 (+.f64 eps -1) (+.f64 1 (/.f64 -1 eps)))) x (fma.f64 (*.f64 (fma.f64 eps x x) (fma.f64 eps x x)) (+.f64 1/2 (/.f64 -1/2 eps)) 2)))
(/.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 eps 1) x)) eps)
(/.f64 (+.f64 eps -1) (/.f64 eps (fma.f64 eps x x)))
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(+.f64 (fma.f64 eps (-.f64 x (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 x (*.f64 x 1/2))))) 1) (-.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) (-.f64 (/.f64 x eps) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps (-.f64 x (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))))))))) (+.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 x eps)))))
(-.f64 (fma.f64 -1 (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x)))))) (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps (-.f64 x (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))))))))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 x)) (/.f64 x eps)))))
(+.f64 (fma.f64 (*.f64 (neg.f64 eps) eps) (fma.f64 (/.f64 -1/6 (exp.f64 x)) (pow.f64 x 3) (*.f64 (*.f64 x x) (/.f64 -1/2 (exp.f64 x)))) (/.f64 1 eps)) (-.f64 (fma.f64 eps (-.f64 x (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x))))) 1) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (fma.f64 (/.f64 -1 (exp.f64 x)) x (-.f64 (/.f64 x eps) (exp.f64 (neg.f64 x)))))))
(-.f64 (+.f64 (fma.f64 (*.f64 eps eps) (neg.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 -1/2 (exp.f64 x)) (*.f64 (/.f64 -1/6 (exp.f64 x)) x)))) (fma.f64 eps (-.f64 x (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 x (*.f64 x 1/2))))) 1)) (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps)) (-.f64 (/.f64 x eps) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 eps x)
(-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 1 (*.f64 eps x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(+.f64 (fma.f64 eps x 1) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (fma.f64 eps x 1) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps x))) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps x))) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(-.f64 (+.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (+.f64 (fma.f64 eps x 1) (/.f64 (-.f64 1 x) eps)) (/.f64 (/.f64 (-.f64 1 eps) eps) (exp.f64 (fma.f64 eps x x))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps x))) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps x))) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(-.f64 (+.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (+.f64 (fma.f64 eps x 1) (/.f64 (-.f64 1 x) eps)) (/.f64 (/.f64 (-.f64 1 eps) eps) (exp.f64 (fma.f64 eps x x))))
(*.f64 eps x)
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 1 (*.f64 eps x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(+.f64 (fma.f64 eps x 1) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (fma.f64 eps x 1) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) (+.f64 (*.f64 eps x) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (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 (fma.f64 -1 (*.f64 -1 (+.f64 (-.f64 1 x) x)) (fma.f64 eps x (neg.f64 (/.f64 (*.f64 -1 (-.f64 (-.f64 1 x) (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))))) eps)))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (*.f64 1 (-.f64 1 x)) (fma.f64 eps x x)) (/.f64 (fma.f64 -1 (-.f64 1 x) (exp.f64 (neg.f64 (fma.f64 eps x x)))) eps)))
(+.f64 1 (+.f64 (/.f64 (-.f64 1 (+.f64 x (pow.f64 (exp.f64 x) (-.f64 -1 eps)))) eps) (fma.f64 eps x (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) (+.f64 (*.f64 eps x) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (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 (fma.f64 -1 (*.f64 -1 (+.f64 (-.f64 1 x) x)) (fma.f64 eps x (neg.f64 (/.f64 (*.f64 -1 (-.f64 (-.f64 1 x) (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))))) eps)))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (*.f64 1 (-.f64 1 x)) (fma.f64 eps x x)) (/.f64 (fma.f64 -1 (-.f64 1 x) (exp.f64 (neg.f64 (fma.f64 eps x x)))) eps)))
(+.f64 1 (+.f64 (/.f64 (-.f64 1 (+.f64 x (pow.f64 (exp.f64 x) (-.f64 -1 eps)))) eps) (fma.f64 eps x (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(/.f64 (+.f64 1 eps) eps)
(/.f64 (+.f64 eps 1) eps)
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x)) eps) 1))
(+.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 eps -1) (/.f64 eps (fma.f64 eps x x))))
(+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (/.f64 (+.f64 eps -1) eps) (fma.f64 eps x x))))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 eps x x) 1))
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x)) eps) 1))
(+.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 eps -1) (/.f64 eps (fma.f64 eps x x))))
(+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (/.f64 (+.f64 eps -1) eps) (fma.f64 eps x x))))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 eps x x) 1))
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x)) eps) 1))
(+.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 eps -1) (/.f64 eps (fma.f64 eps x x))))
(+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (/.f64 (+.f64 eps -1) eps) (fma.f64 eps x x))))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 eps x x) 1))
(/.f64 (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x)) eps)
(/.f64 (+.f64 eps -1) (/.f64 eps (fma.f64 eps x x)))
(*.f64 (/.f64 (+.f64 eps -1) eps) (fma.f64 eps x x))
(*.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 eps x x))
(+.f64 (/.f64 1 eps) (+.f64 1 (/.f64 (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x)) eps)))
(+.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 eps -1) (/.f64 eps (fma.f64 eps x x))))
(+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (/.f64 (+.f64 eps -1) eps) (fma.f64 eps x x))))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 eps x x) 1))
(+.f64 (/.f64 1 eps) (+.f64 1 (/.f64 (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x)) eps)))
(+.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 eps -1) (/.f64 eps (fma.f64 eps x x))))
(+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (/.f64 (+.f64 eps -1) eps) (fma.f64 eps x x))))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 eps x x) 1))
(+.f64 (/.f64 1 eps) (+.f64 1 (/.f64 (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x)) eps)))
(+.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 eps -1) (/.f64 eps (fma.f64 eps x x))))
(+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (/.f64 (+.f64 eps -1) eps) (fma.f64 eps x x))))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 eps x x) 1))
(*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (+.f64 1 eps) x)) eps))
(/.f64 (+.f64 eps -1) (/.f64 eps (fma.f64 eps x x)))
(*.f64 (/.f64 (+.f64 eps -1) eps) (fma.f64 eps x x))
(*.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 eps x x))
(+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (+.f64 1 eps) x)) eps))))
(+.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 eps -1) (/.f64 eps (fma.f64 eps x x))))
(+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (/.f64 (+.f64 eps -1) eps) (fma.f64 eps x x))))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 eps x x) 1))
(+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (+.f64 1 eps) x)) eps))))
(+.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 eps -1) (/.f64 eps (fma.f64 eps x x))))
(+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (/.f64 (+.f64 eps -1) eps) (fma.f64 eps x x))))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 eps x x) 1))
(+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (+.f64 1 eps) x)) eps))))
(+.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 eps -1) (/.f64 eps (fma.f64 eps x x))))
(+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (/.f64 (+.f64 eps -1) eps) (fma.f64 eps x x))))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 eps x x) 1))
(/.f64 (-.f64 1 x) eps)
(-.f64 (+.f64 (/.f64 1 eps) 1) (/.f64 x eps))
(+.f64 (/.f64 1 eps) (-.f64 1 (/.f64 x eps)))
(+.f64 1 (/.f64 (-.f64 1 x) eps))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps x))) (/.f64 x eps))
(+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (*.f64 eps x)) (/.f64 x eps)))
(+.f64 (fma.f64 eps x 1) (/.f64 (-.f64 1 x) eps))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps x))) (/.f64 x eps))
(+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (*.f64 eps x)) (/.f64 x eps)))
(+.f64 (fma.f64 eps x 1) (/.f64 (-.f64 1 x) eps))
(*.f64 eps x)
(+.f64 1 (*.f64 eps x))
(fma.f64 eps x 1)
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps x))) (/.f64 x eps))
(+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (*.f64 eps x)) (/.f64 x eps)))
(+.f64 (fma.f64 eps x 1) (/.f64 (-.f64 1 x) eps))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps x))) (/.f64 x eps))
(+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (*.f64 eps x)) (/.f64 x eps)))
(+.f64 (fma.f64 eps x 1) (/.f64 (-.f64 1 x) eps))
(*.f64 eps x)
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) (*.f64 eps x))
(+.f64 1 (*.f64 eps x))
(fma.f64 eps x 1)
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) (*.f64 eps x))) (/.f64 x eps))
(+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (*.f64 eps x)) (/.f64 x eps)))
(+.f64 (fma.f64 eps x 1) (/.f64 (-.f64 1 x) eps))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) (*.f64 eps x))) (/.f64 x eps))
(+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (*.f64 eps x)) (/.f64 x eps)))
(+.f64 (fma.f64 eps x 1) (/.f64 (-.f64 1 x) eps))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) 1)
(/.f64 (+.f64 eps 1) eps)
(+.f64 (/.f64 1 eps) 1)
(/.f64 (+.f64 eps 1) eps)
(+.f64 (/.f64 1 eps) 1)
(/.f64 (+.f64 eps 1) eps)
1
(+.f64 (/.f64 1 eps) 1)
(/.f64 (+.f64 eps 1) eps)
(+.f64 (/.f64 1 eps) 1)
(/.f64 (+.f64 eps 1) eps)
(+.f64 (/.f64 1 eps) 1)
(/.f64 (+.f64 eps 1) eps)
1
(+.f64 (/.f64 1 eps) 1)
(/.f64 (+.f64 eps 1) eps)
(+.f64 (/.f64 1 eps) 1)
(/.f64 (+.f64 eps 1) eps)
(+.f64 (/.f64 1 eps) 1)
(/.f64 (+.f64 eps 1) eps)

localize52.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 94 to 68 computations (27.7% saved)

series7.0ms (0.1%)

Counts
2 → 36
Calls

12 calls:

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

rewrite105.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
681×log-prod_binary64
665×prod-diff_binary64
470×fma-def_binary64
221×expm1-udef_binary64
221×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01531
132227
2450523
Stop Event
1×node limit
Counts
2 → 205
Calls
Call 1
Inputs
(*.f64 (+.f64 eps 1) x)
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.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 (fma.f64 eps x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 eps x x) (log.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -1) (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (fma.f64 eps x x)) (*.f64 1/2 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (fma.f64 eps x x)) (log.f64 (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (fma.f64 eps x x)) (log.f64 (*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (fma.f64 eps x x))) (*.f64 1/3 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 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simplify58.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
643×distribute-lft-neg-out_binary64
535×associate-*r*_binary64
523×associate-*l*_binary64
348×fma-def_binary64
280×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
092619
1300500
2944469
35257469
Stop Event
1×node limit
Counts
241 → 227
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)
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (pow.f64 eps 2))) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (pow.f64 eps 2)))) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))))) (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))) (*.f64 -1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (pow.f64 eps 2))))) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (exp.f64 (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 -2 x))
(+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2))))
(+.f64 2 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) (*.f64 1/6 (pow.f64 (+.f64 eps 1) 3))) (pow.f64 x 3)) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2)))))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) 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)
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 2 (exp.f64 (neg.f64 x)))
(/.f64 2 (exp.f64 x))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (pow.f64 eps 2))) (*.f64 -1 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) 1) (*.f64 eps eps)) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 eps (*.f64 eps (/.f64 (*.f64 x x) (exp.f64 x))) (/.f64 2 (exp.f64 x)))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (pow.f64 eps 2)))) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (fma.f64 (pow.f64 eps 4) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) 1/12) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) 1) (*.f64 eps eps)))) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (pow.f64 eps 4) (*.f64 (pow.f64 x 4) (*.f64 (exp.f64 (neg.f64 x)) 1/12)) (+.f64 (*.f64 eps (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (*.f64 2 (exp.f64 (neg.f64 x)))))
(fma.f64 (pow.f64 eps 4) (*.f64 (pow.f64 x 4) (/.f64 1/12 (exp.f64 x))) (fma.f64 eps (*.f64 eps (/.f64 (*.f64 x x) (exp.f64 x))) (/.f64 2 (exp.f64 x))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))))) (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))) (*.f64 -1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (pow.f64 eps 2))))) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (fma.f64 (pow.f64 eps 4) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) 1/12) (fma.f64 (pow.f64 eps 6) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) 1/360) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) 1) (*.f64 eps eps))))) (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 eps 4) (*.f64 (pow.f64 x 4) (*.f64 (exp.f64 (neg.f64 x)) 1/12)) (fma.f64 (pow.f64 eps 6) (*.f64 (pow.f64 x 6) (*.f64 (exp.f64 (neg.f64 x)) 1/360)) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps) (exp.f64 (neg.f64 x))))))
(fma.f64 (pow.f64 eps 4) (*.f64 (pow.f64 x 4) (/.f64 1/12 (exp.f64 x))) (fma.f64 (pow.f64 eps 6) (*.f64 (pow.f64 x 6) (/.f64 1/360 (exp.f64 x))) (fma.f64 eps (*.f64 eps (/.f64 (*.f64 x x) (exp.f64 x))) (/.f64 2 (exp.f64 x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 -1 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 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 -1 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 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 -1 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 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 x -2))
(fma.f64 x -2 2)
(+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2))))
(+.f64 2 (fma.f64 -2 x (*.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 eps -1) 2)) (*.f64 1/2 (pow.f64 (+.f64 eps 1) 2))))))
(+.f64 2 (fma.f64 x -2 (*.f64 (*.f64 x x) (*.f64 1/2 (+.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 (+.f64 eps 1) 2))))))
(fma.f64 x -2 (fma.f64 (*.f64 x x) (*.f64 1/2 (+.f64 (pow.f64 (+.f64 eps -1) 2) (pow.f64 (+.f64 eps 1) 2))) 2))
(fma.f64 x -2 (fma.f64 x (*.f64 x (*.f64 1/2 (+.f64 (pow.f64 (+.f64 eps -1) 2) (pow.f64 (+.f64 eps 1) 2)))) 2))
(+.f64 2 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) (*.f64 1/6 (pow.f64 (+.f64 eps 1) 3))) (pow.f64 x 3)) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2)))))
(+.f64 2 (fma.f64 -2 x (fma.f64 (*.f64 1/6 (-.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 (+.f64 eps 1) 3))) (pow.f64 x 3) (*.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 eps -1) 2)) (*.f64 1/2 (pow.f64 (+.f64 eps 1) 2)))))))
(+.f64 2 (fma.f64 x -2 (fma.f64 (*.f64 x x) (*.f64 1/2 (+.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 (+.f64 eps 1) 2))) (*.f64 1/6 (*.f64 (-.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 (+.f64 eps 1) 3)) (pow.f64 x 3))))))
(+.f64 2 (fma.f64 x -2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (+.f64 (pow.f64 (+.f64 eps -1) 2) (pow.f64 (+.f64 eps 1) 2))) (*.f64 x (*.f64 1/6 (-.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 (+.f64 eps 1) 3))))))))
(+.f64 (fma.f64 x -2 2) (*.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (+.f64 (pow.f64 (+.f64 eps -1) 2) (pow.f64 (+.f64 eps 1) 2))) (*.f64 x (*.f64 1/6 (-.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 (+.f64 eps 1) 3)))))))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))

eval423.0ms (3.6%)

Compiler

Compiled 21326 to 11874 computations (44.3% saved)

prune134.0ms (1.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New6677674
Fresh224
Picked101
Done314
Total67310683
Error
0.0b
Counts
683 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
17.0b
(/.f64 (-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
▶0.3b
(/.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) 2)
▶12.7b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2)
▶45.7b
(/.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)
✓46.5b
(*.f64 1/2 0)
▶16.6b
(/.f64 2 2)
▶16.8b
(/.f64 (*.f64 2 (fma.f64 x (*.f64 -1/2 x) 1)) 2)
0.3b
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
48.9b
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (*.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (-.f64 eps 1) 2)))))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
46.2b
(/.f64 (-.f64 (/.f64 1 (/.f64 eps (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 eps 1)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Compiler

Compiled 383 to 299 computations (21.9% saved)

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 47 to 13 computations (72.3% saved)

localize5.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize32.0ms (0.3%)

Compiler

Compiled 33 to 25 computations (24.2% saved)

localize103.0ms (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 eps) x)
✓0.1b
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))
✓3.3b
(-.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)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
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
@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
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)))

rewrite104.0ms (0.9%)

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
01856
142352
2629652
Stop Event
1×node limit
Counts
2 → 115
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))
Outputs
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(-.f64 -1 eps)))) (+.f64 -1 (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2) -1) (-.f64 1 (pow.f64 eps -2))) (*.f64 (fma.f64 x (-.f64 -1 eps) -1) (+.f64 -1 (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 -1 eps) (+.f64 (/.f64 1 eps) -1))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 (-.f64 -1 eps) (+.f64 (/.f64 1 eps) -1))) (*.f64 x (*.f64 (-.f64 -1 eps) (+.f64 (/.f64 1 eps) -1)))) (-.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (*.f64 (*.f64 x (*.f64 (-.f64 -1 eps) (+.f64 (/.f64 1 eps) -1))) (+.f64 (/.f64 1 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x (*.f64 (-.f64 -1 eps) (+.f64 (/.f64 1 eps) -1))) (*.f64 x (*.f64 (-.f64 -1 eps) (+.f64 (/.f64 1 eps) -1))) (neg.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))) (fma.f64 (+.f64 (/.f64 1 eps) -1) (*.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)) (fma.f64 x (-.f64 -1 eps) 1)) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (fma.f64 x (-.f64 -1 eps) 1)) (+.f64 -1 (/.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (-.f64 -1 eps)) 3)) (+.f64 (/.f64 1 eps) -1)) (+.f64 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2) (-.f64 1 (*.f64 x (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2) -1) (+.f64 (/.f64 1 eps) -1)) (fma.f64 x (-.f64 -1 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (pow.f64 (*.f64 x (-.f64 -1 eps)) 3))) (+.f64 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2) (-.f64 1 (*.f64 x (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2) -1)) (fma.f64 x (-.f64 -1 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 -1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (-.f64 1 (pow.f64 eps -2))) (+.f64 -1 (/.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x (-.f64 -1 eps) 1)) (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (-.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (-.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1) (+.f64 (/.f64 1 eps) -1))))))

simplify53.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
655×fma-def_binary64
576×associate-+l+_binary64
441×associate-*l*_binary64
425×associate--r+_binary64
423×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01201606
14241435
215681193
Stop Event
1×node limit
Counts
163 → 160
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)
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 (exp.f64 (neg.f64 x)) eps) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (+.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) (-.f64 (/.f64 1 eps) x)))
(+.f64 (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 (expm1.f64 (neg.f64 x)) eps)) (+.f64 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))))))
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(+.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 x) (/.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) (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 (fma.f64 -1 x (neg.f64 (+.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 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(fma.f64 eps x (fma.f64 -1 x (neg.f64 (+.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 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 -1 eps) 1)) x)
(*.f64 (+.f64 1 eps) (-.f64 x (/.f64 x eps)))
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(+.f64 (/.f64 1 eps) (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)
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(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))
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(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))
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(neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps))))
(*.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 -1 eps) 1)) x)
(*.f64 (+.f64 1 eps) (-.f64 x (/.f64 x eps)))
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
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(*.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))

localize34.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 79 to 42 computations (46.8% saved)

series7.0ms (0.1%)

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
x
@-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)))))

rewrite121.0ms (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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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 +.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 +.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) eps)) (fma.f64 -1 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) eps)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 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simplify56.0ms (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)))

eval244.0ms (2.1%)

Compiler

Compiled 14980 to 9917 computations (33.8% saved)

prune115.0ms (1%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New4374441
Fresh134
Picked101
Done145
Total44011451
Error
0.0b
Counts
451 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
▶48.7b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) 2)
▶0.3b
(/.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x)))) 2)
▶17.0b
(/.f64 (-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
✓0.3b
(/.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) 2)
12.7b
(/.f64 (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) 2)
✓16.8b
(/.f64 (*.f64 2 (fma.f64 x (*.f64 -1/2 x) 1)) 2)
✓46.5b
(*.f64 1/2 0)
✓16.6b
(/.f64 2 2)
▶0.3b
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
20.1b
(/.f64 (fma.f64 1/2 (*.f64 (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 eps -1) 2)) (*.f64 x x)) (-.f64 2 x)) 2)
▶46.2b
(/.f64 (-.f64 (/.f64 1 (/.f64 eps (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 eps 1)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Compiler

Compiled 323 to 248 computations (23.2% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 45 to 14 computations (68.9% saved)

series3.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite56.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
687×pow1_binary64
644×add-log-exp_binary64
642×log1p-expm1-u_binary64
642×expm1-log1p-u_binary64
629×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0719
115015
2239315
Stop Event
1×node limit
Counts
2 → 82
Calls
Call 1
Inputs
(/.f64 x (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (exp.f64 x))) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 x)) (/.f64 x (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 x (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (exp.f64 x) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 x (exp.f64 x) (exp.f64 x))) (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (fma.f64 x (exp.f64 x) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (exp.f64 x) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (exp.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (exp.f64 x) (exp.f64 x)) 2) (/.f64 1 (fma.f64 x (exp.f64 x) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (exp.f64 x) (exp.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 x (exp.f64 x) (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (exp.f64 x) (exp.f64 x))) 2) (cbrt.f64 (fma.f64 x (exp.f64 x) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (exp.f64 x) (exp.f64 x))) (sqrt.f64 (fma.f64 x (exp.f64 x) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 x (exp.f64 x) (exp.f64 x)) 2) (/.f64 x (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (exp.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (exp.f64 x) (exp.f64 x)) (pow.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 x (exp.f64 x) (exp.f64 x)) 2) (/.f64 x (pow.f64 (exp.f64 x) 2))) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (exp.f64 x) (exp.f64 x)) (pow.f64 (fma.f64 x (exp.f64 x) (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x (exp.f64 x) (exp.f64 x)) 2) (fma.f64 x (exp.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (-.f64 (pow.f64 (fma.f64 x (exp.f64 x) (exp.f64 x)) 2) (/.f64 x (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (-.f64 (pow.f64 (exp.f64 x) 2) (/.f64 x (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3))) (neg.f64 (-.f64 (pow.f64 (fma.f64 x (exp.f64 x) (exp.f64 x)) 2) (/.f64 x (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (fma.f64 x (exp.f64 x) (exp.f64 x)) 2)) (neg.f64 (fma.f64 x (exp.f64 x) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (exp.f64 x)) (*.f64 x (exp.f64 x))) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (exp.f64 x) x) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (neg.f64 (exp.f64 x)) 1)) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 x) (*.f64 (/.f64 (exp.f64 x) x) 1)) (*.f64 (/.f64 (exp.f64 x) x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (exp.f64 x)) (*.f64 x (exp.f64 x))) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (exp.f64 x) x) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (/.f64 x (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (pow.f64 (exp.f64 x) 2)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (exp.f64 x) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (exp.f64 x) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (exp.f64 x) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (exp.f64 x) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (exp.f64 x) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (exp.f64 x) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (exp.f64 x) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (exp.f64 x) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (exp.f64 x) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (exp.f64 x) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (exp.f64 x) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))))))

simplify53.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
608×distribute-rgt-neg-in_binary64
548×fma-def_binary64
535×distribute-lft-neg-in_binary64
403×cancel-sign-sub-inv_binary64
395×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040188
196183
2221180
3756169
42613169
56432169
Stop Event
1×node limit
Counts
98 → 99
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)))
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 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (*.f64 -1 x)))
Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(+.f64 (*.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 (*.f64 x x) (fma.f64 x 1/2 -1) (fma.f64 -1/6 (pow.f64 x 4) x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 x (*.f64 x -1/2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 3) 1/3)))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (*.f64 (pow.f64 x 3) 1/3)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 3) 1/3 1))
(fma.f64 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 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3))) (fma.f64 (pow.f64 x 4) -1/8 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) (fma.f64 (pow.f64 x 4) -1/8 1))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 34 to 22 computations (35.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite47.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

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

simplify60.0ms (0.5%)

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

Useful iterations: 4 (0.0ms)

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

localize47.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 77 to 51 computations (33.8% saved)

series3.0ms (0%)

Counts
1 → 18
Calls

6 calls:

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

rewrite69.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
626×fma-def_binary64
601×log-prod_binary64
308×pow2_binary64
272×fma-neg_binary64
212×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01320
128316
2412714
Stop Event
1×node limit
Counts
1 → 127
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 eps x (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 eps x (exp.f64 (fma.f64 eps x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) (+.f64 1 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) (-.f64 1 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 eps x x)) (fma.f64 eps x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 eps x (exp.f64 (fma.f64 eps x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x))) 2) (/.f64 1 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x)))) 2) (cbrt.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x)))) (sqrt.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 eps x 1) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (/.f64 1 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x))) (pow.f64 (fma.f64 eps x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 eps x 1)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (-.f64 (sqrt.f64 (fma.f64 eps x 1)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x))) (pow.f64 (fma.f64 eps x 1) 2)) (+.f64 (pow.f64 (fma.f64 eps x 1) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x))) (pow.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x))) 2) (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 eps x 1) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x))) (pow.f64 (fma.f64 eps x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 eps x 1) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))) (neg.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x))) (pow.f64 (fma.f64 eps x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x))) 2)) (neg.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 1 (pow.f64 (*.f64 eps x) 3)) (exp.f64 (fma.f64 eps x x)) (*.f64 (fma.f64 (*.f64 eps x) (fma.f64 eps x -1) 1) 1)) (*.f64 (fma.f64 (*.f64 eps x) (fma.f64 eps x -1) 1) (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 1 (pow.f64 (*.f64 eps x) 2)) (exp.f64 (fma.f64 eps x x)) (*.f64 (-.f64 1 (*.f64 eps x)) 1)) (*.f64 (-.f64 1 (*.f64 eps x)) (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 eps x (exp.f64 (fma.f64 eps x x))) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 eps x (exp.f64 (fma.f64 eps x x))) 2) (fma.f64 eps x (exp.f64 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 eps x (exp.f64 (fma.f64 eps x x))) 2)) (-.f64 1 (fma.f64 eps x (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 eps x 1) (exp.f64 (fma.f64 eps x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (fma.f64 eps x 1) 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simplify45.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
580×fma-neg_binary64
510×distribute-rgt-neg-out_binary64
456×distribute-lft-neg-out_binary64
414×associate-*l*_binary64
414×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060377
1202309
2662295
33336286
Stop Event
1×node limit
Counts
145 → 147
Calls
Call 1
Inputs
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 1 (*.f64 eps (-.f64 x (*.f64 (exp.f64 (neg.f64 x)) x)))) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (*.f64 eps (-.f64 x (*.f64 (exp.f64 (neg.f64 x)) x))))) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (*.f64 eps (-.f64 x (*.f64 (exp.f64 (neg.f64 x)) x)))))) (*.f64 -1 (exp.f64 (neg.f64 x))))
(*.f64 eps x)
(*.f64 eps x)
(-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))))
(+.f64 2 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(*.f64 eps x)
(-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(*.f64 eps x)
Outputs
(-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 1 (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 1 (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (*.f64 eps (-.f64 x (*.f64 (exp.f64 (neg.f64 x)) x)))) (*.f64 -1 (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (*.f64 eps (-.f64 x (*.f64 x (exp.f64 (neg.f64 x))))) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 1 (fma.f64 eps (-.f64 x (*.f64 x (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x))))
(+.f64 1 (fma.f64 eps (-.f64 x (/.f64 x (exp.f64 x))) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (*.f64 eps (-.f64 x (*.f64 (exp.f64 (neg.f64 x)) x))))) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (+.f64 1 (*.f64 eps (-.f64 x (*.f64 x (exp.f64 (neg.f64 x))))))) (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 (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 x (*.f64 x (exp.f64 (neg.f64 x)))) 1)))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (-.f64 x (/.f64 x (exp.f64 x))) (fma.f64 1/2 (*.f64 (/.f64 x (exp.f64 x)) (*.f64 x (*.f64 eps eps))) 1)))
(+.f64 (fma.f64 eps (-.f64 x (/.f64 x (exp.f64 x))) 1) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) (*.f64 1/2 (*.f64 eps eps)) 1)))
(-.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (*.f64 eps (-.f64 x (*.f64 (exp.f64 (neg.f64 x)) x)))))) (*.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (+.f64 1 (*.f64 eps (-.f64 x (*.f64 x (exp.f64 (neg.f64 x)))))))) (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3))) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 eps eps))) (fma.f64 eps (-.f64 x (*.f64 x (exp.f64 (neg.f64 x)))) 1))))
(+.f64 (fma.f64 eps (-.f64 x (/.f64 x (exp.f64 x))) (fma.f64 1/2 (*.f64 (/.f64 x (exp.f64 x)) (*.f64 x (*.f64 eps eps))) 1)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (pow.f64 x 3) (*.f64 -1/6 (pow.f64 eps 3))) -1)))
(+.f64 (fma.f64 eps (-.f64 x (/.f64 x (exp.f64 x))) 1) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/2 (*.f64 x (*.f64 x (*.f64 eps eps)))) (fma.f64 (pow.f64 eps 3) (*.f64 -1/6 (pow.f64 x 3)) 1))))
(*.f64 eps x)
(*.f64 x eps)
(*.f64 eps x)
(*.f64 x eps)
(-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 1 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 1 (fma.f64 x eps (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 1 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 1 (fma.f64 x eps (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 1 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 1 (fma.f64 x eps (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))))
(+.f64 2 (fma.f64 -1 x (*.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2)))))
(+.f64 2 (-.f64 (*.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) x))
(-.f64 (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) 2) x)
(+.f64 2 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(+.f64 2 (fma.f64 -1 x (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2)) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3))))))
(+.f64 2 (-.f64 (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 (pow.f64 x 3) (*.f64 -1/6 (pow.f64 (+.f64 1 eps) 3)))) x))
(+.f64 2 (-.f64 (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))) x))
(fma.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (*.f64 -1/6 (*.f64 x (pow.f64 (+.f64 1 eps) 3)))) (-.f64 2 x))
(*.f64 eps x)
(*.f64 x eps)
(-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (+.f64 1 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 1 (fma.f64 x eps (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (+.f64 1 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 1 (fma.f64 x eps (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))))
(-.f64 (+.f64 1 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 1 (fma.f64 x eps (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(*.f64 eps x)
(*.f64 x eps)

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 108 to 79 computations (26.9% saved)

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite90.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
735×fma-def_binary64
307×expm1-udef_binary64
307×log1p-udef_binary64
304×fma-neg_binary64
249×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01637
136935
2546233
Stop Event
1×node limit
Counts
2 → 129
Calls
Call 1
Inputs
(*.f64 x (-.f64 -1 eps))
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)))
Outputs
((#(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 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (pow.f64 eps 3)) x) (fma.f64 eps (+.f64 -1 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 -1 (pow.f64 eps 3))) (fma.f64 eps (+.f64 -1 eps) 1))))) (#(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 x) (-.f64 -1 eps)))))) (#(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 x -1 (*.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (*.f64 (neg.f64 eps) x))))) (#(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 1 (neg.f64 x) (*.f64 (neg.f64 eps) x))))) (#(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)) (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 -1 eps) 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.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 (cbrt.f64 (*.f64 x x)) (neg.f64 (cbrt.f64 x)) (*.f64 (neg.f64 eps) x))))) (#(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 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 eps) x))))) (#(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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (*.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 (neg.f64 eps) x))))))
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simplify98.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
473×sub-neg_binary64
437×fma-def_binary64
314×unswap-sqr_binary64
272×associate-+l+_binary64
227×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0951009
1330878
21039812
34875706
Stop Event
1×node limit
Counts
177 → 164
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 x)
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) eps))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) eps))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) eps)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) eps))))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(*.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 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) eps)) (exp.f64 (neg.f64 (*.f64 (-.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 1 (*.f64 -1 x)) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 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)) (+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) eps)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) eps)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 2 (/.f64 1 eps))
(-.f64 (+.f64 (*.f64 (-.f64 eps (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))))) x) 2) (/.f64 1 eps))
(-.f64 (+.f64 (*.f64 (-.f64 eps (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))))) x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) 2)) (/.f64 1 eps))
(-.f64 (+.f64 (*.f64 (-.f64 eps (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))))) x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))))) (/.f64 1 eps))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.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 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps))
Outputs
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x 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 eps x 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 eps x 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 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x 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 eps x 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 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x 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 eps x 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 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) eps))
(/.f64 (neg.f64 (+.f64 1 (neg.f64 x))) eps)
(neg.f64 (/.f64 (-.f64 1 x) eps))
(/.f64 (+.f64 -1 x) eps)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) eps))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (/.f64 (neg.f64 (+.f64 1 (neg.f64 x))) eps) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x))))))
(-.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 1 x) eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 (+.f64 -1 x) eps) (+.f64 1 (-.f64 x x))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (/.f64 (+.f64 -1 x) eps)))
(-.f64 (+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) eps)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (neg.f64 x)) (+.f64 (/.f64 (neg.f64 (+.f64 1 (neg.f64 x))) eps) (exp.f64 (neg.f64 x)))) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))
(-.f64 (-.f64 (fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (exp.f64 (neg.f64 x))) (/.f64 (-.f64 1 x) eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 (/.f64 (+.f64 -1 x) eps) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (+.f64 1 (-.f64 x x)))))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (/.f64 (+.f64 -1 x) eps))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) eps))))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (neg.f64 x)) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (+.f64 (/.f64 (neg.f64 (+.f64 1 (neg.f64 x))) eps) (exp.f64 (neg.f64 x))))) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))
(-.f64 (fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (-.f64 (fma.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (exp.f64 (neg.f64 x))) (/.f64 (-.f64 1 x) eps))) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (/.f64 (+.f64 -1 x) eps))) (fma.f64 1/2 (*.f64 eps (*.f64 (*.f64 x x) (/.f64 eps (exp.f64 x)))) (+.f64 1 (-.f64 x x))))
(+.f64 1 (+.f64 (/.f64 (+.f64 -1 x) eps) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (/.f64 x (exp.f64 x)) (+.f64 (*.f64 (*.f64 eps (*.f64 eps 1/2)) x) eps)) (*.f64 eps x)))))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (neg.f64 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 (fma.f64 -1 (*.f64 eps x) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))
(-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 eps x)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 (-.f64 x (*.f64 eps x)) (-.f64 1 x)))
(+.f64 1 (-.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (*.f64 eps x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) eps)) (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 eps x) (fma.f64 -1 (/.f64 (+.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 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (-.f64 1 x) eps)) (*.f64 eps x)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (fma.f64 eps x (/.f64 (-.f64 1 x) eps))) (+.f64 1 (-.f64 x x)))
(+.f64 (-.f64 1 (fma.f64 eps x (/.f64 (-.f64 1 x) eps))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) eps)) (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 eps x) (fma.f64 -1 (/.f64 (+.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 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (-.f64 1 x) eps)) (*.f64 eps x)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (fma.f64 eps x (/.f64 (-.f64 1 x) eps))) (+.f64 1 (-.f64 x x)))
(+.f64 (-.f64 1 (fma.f64 eps x (/.f64 (-.f64 1 x) eps))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (neg.f64 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 (fma.f64 -1 (*.f64 eps x) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))
(-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 eps x)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 (-.f64 x (*.f64 eps x)) (-.f64 1 x)))
(+.f64 1 (-.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (*.f64 eps x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) eps)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (fma.f64 -1 (*.f64 eps x) (fma.f64 -1 (/.f64 (+.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 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (-.f64 1 x) eps)) (*.f64 eps x)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (fma.f64 eps x (/.f64 (-.f64 1 x) eps))) (+.f64 1 (-.f64 x x)))
(+.f64 (-.f64 1 (fma.f64 eps x (/.f64 (-.f64 1 x) eps))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) eps)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (fma.f64 -1 (*.f64 eps x) (fma.f64 -1 (/.f64 (+.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 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (-.f64 1 x) eps)) (*.f64 eps x)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (fma.f64 eps x (/.f64 (-.f64 1 x) eps))) (+.f64 1 (-.f64 x x)))
(+.f64 (-.f64 1 (fma.f64 eps x (/.f64 (-.f64 1 x) eps))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(-.f64 2 (/.f64 1 eps))
(+.f64 2 (/.f64 -1 eps))
(-.f64 (+.f64 (*.f64 (-.f64 eps (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))))) x) 2) (/.f64 1 eps))
(-.f64 (fma.f64 (-.f64 (+.f64 eps -1) (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))) x 2) (/.f64 1 eps))
(+.f64 (fma.f64 x (-.f64 eps (fma.f64 (+.f64 (/.f64 -1 eps) 1) (+.f64 1 eps) 1)) 2) (/.f64 -1 eps))
(+.f64 2 (fma.f64 x (-.f64 eps (fma.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)) 1)) (/.f64 -1 eps)))
(+.f64 (+.f64 2 (/.f64 -1 eps)) (-.f64 (/.f64 x eps) x))
(-.f64 (+.f64 (*.f64 (-.f64 eps (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))))) x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) 2)) (/.f64 1 eps))
(-.f64 (fma.f64 (-.f64 (+.f64 eps -1) (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))) x (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps -1) 2)) 2)) (/.f64 1 eps))
(+.f64 (fma.f64 x (-.f64 eps (fma.f64 (+.f64 (/.f64 -1 eps) 1) (+.f64 1 eps) 1)) (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 -1 eps) 2)) 2)) (/.f64 -1 eps))
(+.f64 (fma.f64 x (-.f64 eps (fma.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)) 1)) 2) (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 -1 eps) 2)) (/.f64 -1 eps)))
(+.f64 2 (+.f64 (fma.f64 (pow.f64 (+.f64 -1 eps) 2) (*.f64 x (*.f64 x 1/2)) (-.f64 (/.f64 x eps) x)) (/.f64 -1 eps)))
(-.f64 (+.f64 (*.f64 (-.f64 eps (+.f64 1 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))))) x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))))) (/.f64 1 eps))
(-.f64 (fma.f64 (-.f64 (+.f64 eps -1) (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))) x (+.f64 (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps -1) 2)) 2) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 x 3))))) (/.f64 1 eps))
(+.f64 (fma.f64 x (-.f64 eps (fma.f64 (+.f64 (/.f64 -1 eps) 1) (+.f64 1 eps) 1)) (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 -1 eps) 2)) (fma.f64 1/6 (*.f64 (pow.f64 (+.f64 -1 eps) 3) (pow.f64 x 3)) 2))) (/.f64 -1 eps))
(+.f64 (fma.f64 x (-.f64 eps (fma.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)) 1)) (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 -1 eps) 2)) 2)) (fma.f64 1/6 (*.f64 (pow.f64 (+.f64 -1 eps) 3) (pow.f64 x 3)) (/.f64 -1 eps)))
(+.f64 (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 -1 eps) 2)) 2) (+.f64 (fma.f64 (pow.f64 (+.f64 -1 eps) 3) (*.f64 1/6 (pow.f64 x 3)) (-.f64 (/.f64 x eps) x)) (/.f64 -1 eps)))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 1 eps) (*.f64 x (+.f64 (/.f64 1 eps) -1)))
(*.f64 (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (*.f64 (+.f64 1 eps) (*.f64 x (+.f64 (/.f64 1 eps) -1))) (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 1 eps)))
(+.f64 1 (+.f64 (*.f64 (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps))) (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 1 eps))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) 1) (/.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (fma.f64 eps x x) -1)))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (*.f64 (+.f64 1 eps) (*.f64 x (+.f64 (/.f64 1 eps) -1))) (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 1 eps)))
(+.f64 1 (+.f64 (*.f64 (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps))) (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 1 eps))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) 1) (/.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (fma.f64 eps x x) -1)))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (*.f64 (+.f64 1 eps) (*.f64 x (+.f64 (/.f64 1 eps) -1))) (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 1 eps)))
(+.f64 1 (+.f64 (*.f64 (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps))) (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 1 eps))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) 1) (/.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (fma.f64 eps x x) -1)))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 1 eps) (*.f64 x (+.f64 (/.f64 1 eps) -1)))
(*.f64 (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (*.f64 (+.f64 1 eps) (*.f64 x (+.f64 (/.f64 1 eps) -1))) (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 1 eps)))
(+.f64 1 (+.f64 (*.f64 (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps))) (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 1 eps))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) 1) (/.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (fma.f64 eps x x) -1)))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (*.f64 (+.f64 1 eps) (*.f64 x (+.f64 (/.f64 1 eps) -1))) (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 1 eps)))
(+.f64 1 (+.f64 (*.f64 (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps))) (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 1 eps))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) 1) (/.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (fma.f64 eps x x) -1)))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (*.f64 (+.f64 1 eps) (*.f64 x (+.f64 (/.f64 1 eps) -1))) (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 1 eps)))
(+.f64 1 (+.f64 (*.f64 (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps))) (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 1 eps))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) 1) (/.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (fma.f64 eps x x) -1)))

localize160.0ms (1.4%)

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 eps (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 eps 1)))
✓0.1b
(/.f64 1 (/.f64 eps (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 eps 1))))
✓3.6b
(-.f64 (/.f64 1 (/.f64 eps (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 eps 1)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Compiler

Compiled 165 to 99 computations (40% saved)

series51.0ms (0.4%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
31.0ms
eps
@-inf
(/.f64 eps (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 eps 1)))
4.0ms
x
@inf
(/.f64 eps (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 eps 1)))
2.0ms
x
@-inf
(/.f64 eps (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 eps 1)))
2.0ms
eps
@inf
(/.f64 eps (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 eps 1)))
2.0ms
eps
@0
(/.f64 eps (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 eps 1)))

rewrite140.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
363×log1p-udef_binary64
360×expm1-udef_binary64
234×add-sqr-sqrt_binary64
231×*-un-lft-identity_binary64
231×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01985
146275
2720175
Stop Event
1×node limit
Counts
3 → 136
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (/.f64 eps (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 eps 1)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(/.f64 1 (/.f64 eps (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 eps 1))))
(/.f64 eps (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 eps 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 eps 1))) (/.f64 eps (+.f64 1 eps))) (*.f64 (exp.f64 (fma.f64 eps x x)) (neg.f64 (expm1.f64 (neg.f64 (log.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 eps 1))) (/.f64 eps (+.f64 1 eps))) (*.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (neg.f64 (expm1.f64 (neg.f64 (log.f64 eps))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 eps 1))) (/.f64 eps (+.f64 1 eps))) (*.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (neg.f64 (expm1.f64 (neg.f64 (log.f64 eps))))) 1 (*.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 eps 1))) (/.f64 eps (+.f64 1 eps))) (*.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (neg.f64 (exp.f64 (fma.f64 eps x x))) (expm1.f64 (neg.f64 (log.f64 eps))) (*.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 eps 1))) (/.f64 eps (+.f64 1 eps))) (*.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (neg.f64 (expm1.f64 (neg.f64 (log.f64 eps)))) (exp.f64 (fma.f64 eps x x)) (*.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 eps 1))) (/.f64 eps (+.f64 1 eps))) (*.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 eps x x)))) 2) (*.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 eps 1))) (/.f64 eps (+.f64 1 eps))) (*.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 eps 1))) (/.f64 eps (+.f64 1 eps))) (*.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 eps x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 eps 1))) (/.f64 eps (+.f64 1 eps))) (*.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 eps x x))))) 2) (cbrt.f64 (-.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 eps 1))) (/.f64 eps (+.f64 1 eps))) (*.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 eps 1))) (/.f64 eps (+.f64 1 eps))) (*.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 eps x x))))) (sqrt.f64 (-.f64 (/.f64 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(+.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 eps (*.f64 (+.f64 1 (*.f64 x (-.f64 eps 1))) (+.f64 1 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (*.f64 (+.f64 1 (*.f64 x (-.f64 eps 1))) (+.f64 1 eps)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 eps (*.f64 (+.f64 1 (*.f64 x (-.f64 eps 1))) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 eps (*.f64 (+.f64 1 (*.f64 x (-.f64 eps 1))) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 eps) (+.f64 (log1p.f64 (*.f64 x (-.f64 eps 1))) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 eps) (+.f64 (log1p.f64 (*.f64 x (-.f64 eps 1))) (log1p.f64 eps))) 1))))))

simplify86.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
801×distribute-rgt-in_binary64
755×distribute-lft-in_binary64
226×sub-neg_binary64
215×cancel-sign-sub-inv_binary64
208×div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02792655
19652456
237292314
Stop Event
1×node limit
Counts
208 → 226
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (+.f64 (exp.f64 (neg.f64 x)) x)) eps)
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 x))) (/.f64 x eps)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps (-.f64 x (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))))))) (+.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 x eps)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps (-.f64 x (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))))))))) (+.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 x eps)))))
(*.f64 eps x)
(-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps x))) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps x))) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps))))
(*.f64 eps x)
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) (+.f64 (*.f64 eps x) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) (+.f64 (*.f64 eps x) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
2
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 eps 1) (-.f64 eps 1)) eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) 2)
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 eps 1) (-.f64 eps 1)) eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))))))
(+.f64 (*.f64 1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 eps 1) (-.f64 eps 1)) eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2)))))))
(/.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 eps 1) x)) eps)
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (/.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 eps 1) x)) eps))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (/.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 eps 1) x)) eps))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (/.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 eps 1) x)) eps))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) eps))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) eps)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) eps)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) eps)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(/.f64 (-.f64 1 x) eps)
(-.f64 (+.f64 (/.f64 1 eps) 1) (/.f64 x eps))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps x))) (/.f64 x eps))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps x))) (/.f64 x eps))
(*.f64 eps x)
(+.f64 1 (*.f64 eps x))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps x))) (/.f64 x eps))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps x))) (/.f64 x eps))
(*.f64 eps x)
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) (*.f64 eps x))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) (*.f64 eps x))) (/.f64 x eps))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) (*.f64 eps x))) (/.f64 x eps))
(/.f64 (+.f64 1 eps) eps)
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x)) eps) 1))
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x)) eps) 1))
(+.f64 (/.f64 1 eps) (+.f64 (/.f64 (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x)) eps) 1))
(/.f64 (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x)) eps)
(+.f64 (/.f64 1 eps) (+.f64 1 (/.f64 (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x)) eps)))
(+.f64 (/.f64 1 eps) (+.f64 1 (/.f64 (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x)) eps)))
(+.f64 (/.f64 1 eps) (+.f64 1 (/.f64 (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x)) eps)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (+.f64 1 eps) x)) eps))
(+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (+.f64 1 eps) x)) eps))))
(+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (+.f64 1 eps) x)) eps))))
(+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (+.f64 1 eps) x)) eps))))
(/.f64 eps (-.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 eps 2) (pow.f64 (-.f64 1 x) 2))) (/.f64 eps (-.f64 1 x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 eps 2) (pow.f64 (-.f64 1 x) 2))) (+.f64 (/.f64 eps (-.f64 1 x)) (*.f64 (pow.f64 eps 3) (-.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 3)) (/.f64 x (pow.f64 (-.f64 1 x) 2))))))
(+.f64 (*.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 1 x) 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (-.f64 1 x) 3))) (/.f64 1 (pow.f64 (-.f64 1 x) 4)))) (pow.f64 eps 4)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 eps 2) (pow.f64 (-.f64 1 x) 2))) (+.f64 (/.f64 eps (-.f64 1 x)) (*.f64 (pow.f64 eps 3) (-.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 3)) (/.f64 x (pow.f64 (-.f64 1 x) 2)))))))
(/.f64 1 (*.f64 eps x))
(-.f64 (/.f64 1 (*.f64 eps x)) (/.f64 1 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 (pow.f64 eps 3) x)) (/.f64 1 (*.f64 eps x)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (pow.f64 eps 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 (pow.f64 eps 4) (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 (pow.f64 eps 3) x)) (/.f64 1 (*.f64 eps x))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 1 x) (*.f64 (pow.f64 eps 4) (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 eps 3) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 eps 4) (pow.f64 x 4))) (/.f64 1 (*.f64 (pow.f64 eps 4) (pow.f64 x 2))))))))
(/.f64 1 (*.f64 eps x))
(+.f64 (*.f64 -1 (/.f64 (-.f64 1 x) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))) (+.f64 (/.f64 -1 (*.f64 (pow.f64 eps 2) x)) (/.f64 1 (*.f64 eps x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 1 x) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 1 x) (*.f64 (pow.f64 eps 3) (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x)) 2) (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (/.f64 1 (*.f64 eps x))))) (/.f64 1 (*.f64 (pow.f64 eps 2) x)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 1 x) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 x 2))) (/.f64 (pow.f64 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x)) 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) x)) (/.f64 (*.f64 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x)) (-.f64 1 x)) (pow.f64 x 3))) (pow.f64 eps 4))) (+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x)) 2) (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 1 x) (*.f64 (pow.f64 eps 3) (pow.f64 x 2)))) (/.f64 1 (*.f64 eps x)))))) (/.f64 1 (*.f64 (pow.f64 eps 2) x)))
(/.f64 eps (+.f64 1 eps))
(+.f64 (*.f64 -1 (/.f64 (*.f64 eps (*.f64 (-.f64 eps 1) x)) (+.f64 eps 1))) (/.f64 eps (+.f64 1 eps)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 eps (*.f64 (-.f64 eps 1) x)) (+.f64 eps 1))) (+.f64 (/.f64 (*.f64 eps (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 eps (*.f64 (-.f64 eps 1) x)) (+.f64 eps 1))) (+.f64 (/.f64 (*.f64 eps (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 eps)) (+.f64 (/.f64 eps (+.f64 1 eps)) (*.f64 -1 (/.f64 (*.f64 eps (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))) (+.f64 eps 1))))))
(/.f64 eps (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x)))
(+.f64 (/.f64 eps (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x))) (*.f64 -1 (/.f64 eps (*.f64 (pow.f64 (-.f64 eps 1) 2) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))))
(+.f64 (/.f64 eps (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x))) (+.f64 (/.f64 eps (*.f64 (pow.f64 (-.f64 eps 1) 3) (*.f64 (+.f64 1 eps) (pow.f64 x 3)))) (*.f64 -1 (/.f64 eps (*.f64 (pow.f64 (-.f64 eps 1) 2) (*.f64 (+.f64 1 eps) (pow.f64 x 2)))))))
(+.f64 (*.f64 -1 (/.f64 eps (*.f64 (pow.f64 (-.f64 eps 1) 4) (*.f64 (+.f64 1 eps) (pow.f64 x 4))))) (+.f64 (/.f64 eps (*.f64 (-.f64 eps 1) (*.f64 (+.f64 1 eps) x))) (+.f64 (/.f64 eps (*.f64 (pow.f64 (-.f64 eps 1) 3) (*.f64 (+.f64 1 eps) (pow.f64 x 3)))) (*.f64 -1 (/.f64 eps (*.f64 (pow.f64 (-.f64 eps 1) 2) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))))))
(*.f64 -1 (/.f64 eps (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (+.f64 1 eps) x))))
(+.f64 (*.f64 -1 (/.f64 eps (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (+.f64 1 eps) x)))) (*.f64 -1 (/.f64 eps (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 2) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (/.f64 eps (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (+.f64 1 eps) x)))) (+.f64 (*.f64 -1 (/.f64 eps (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 2) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))) (*.f64 -1 (/.f64 eps (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 3) (*.f64 (+.f64 1 eps) (pow.f64 x 3)))))))
(+.f64 (*.f64 -1 (/.f64 eps (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (+.f64 1 eps) x)))) (+.f64 (*.f64 -1 (/.f64 eps (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 2) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (/.f64 eps (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 4) (*.f64 (+.f64 1 eps) (pow.f64 x 4))))) (*.f64 -1 (/.f64 eps (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 3) (*.f64 (+.f64 1 eps) (pow.f64 x 3))))))))
Outputs
(/.f64 (-.f64 1 (+.f64 (exp.f64 (neg.f64 x)) x)) eps)
(/.f64 (-.f64 (-.f64 1 (exp.f64 (neg.f64 x))) x) eps)
(/.f64 (-.f64 1 (+.f64 x (exp.f64 (neg.f64 x)))) eps)
(/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps)
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 x))) (/.f64 x eps)))))
(-.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (exp.f64 (neg.f64 x)) eps)) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 x)) (/.f64 x eps))))
(+.f64 (/.f64 1 eps) (-.f64 (-.f64 1 (/.f64 (exp.f64 (neg.f64 x)) eps)) (fma.f64 (/.f64 -1 (exp.f64 x)) x (-.f64 (/.f64 x eps) (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps)) (-.f64 (/.f64 x eps) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps (-.f64 x (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))))))) (+.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 x eps)))))
(-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 eps (-.f64 x (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 x)) (/.f64 x eps)))))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 eps (-.f64 x (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x))))) 1) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (fma.f64 (/.f64 -1 (exp.f64 x)) x (-.f64 (/.f64 x eps) (exp.f64 (neg.f64 x)))))))
(-.f64 (+.f64 (fma.f64 eps (-.f64 x (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x))))) 1) (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps)) (-.f64 (/.f64 x eps) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps (-.f64 x (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))))))))) (+.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 x eps)))))
(-.f64 (fma.f64 -1 (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))) (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 eps (-.f64 x (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x))))))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 x)) (/.f64 x eps)))))
(+.f64 (fma.f64 (*.f64 (neg.f64 eps) eps) (fma.f64 (/.f64 -1/6 (exp.f64 x)) (pow.f64 x 3) (*.f64 (*.f64 x x) (/.f64 -1/2 (exp.f64 x)))) (/.f64 1 eps)) (-.f64 (fma.f64 eps (-.f64 x (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x))))) 1) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (fma.f64 (/.f64 -1 (exp.f64 x)) x (-.f64 (/.f64 x eps) (exp.f64 (neg.f64 x)))))))
(-.f64 (-.f64 (+.f64 (fma.f64 eps (-.f64 x (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x))))) 1) (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps)) (-.f64 (/.f64 x eps) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (*.f64 eps (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/6 (pow.f64 x 3)))))))
(*.f64 eps x)
(*.f64 x eps)
(-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 1 (*.f64 x eps)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(+.f64 1 (fma.f64 x eps (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps x))) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 x eps))) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(-.f64 (+.f64 (/.f64 1 eps) (fma.f64 x eps 1)) (-.f64 (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(-.f64 (+.f64 (/.f64 1 eps) (fma.f64 x eps 1)) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) eps) (-.f64 (/.f64 x eps) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 eps x))) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 x eps))) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(-.f64 (+.f64 (/.f64 1 eps) (fma.f64 x eps 1)) (-.f64 (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(-.f64 (+.f64 (/.f64 1 eps) (fma.f64 x eps 1)) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) eps) (-.f64 (/.f64 x eps) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(*.f64 eps x)
(*.f64 x eps)
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 1 (*.f64 x eps)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(+.f64 1 (fma.f64 x eps (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) (+.f64 (*.f64 eps x) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (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 (fma.f64 -1 (fma.f64 -1 (-.f64 1 x) (neg.f64 x)) (fma.f64 eps x (neg.f64 (/.f64 (*.f64 -1 (-.f64 (-.f64 1 x) (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))))) eps)))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (+.f64 (*.f64 1 (-.f64 1 x)) (fma.f64 x eps x)) (/.f64 (fma.f64 -1 (-.f64 1 x) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps)))
(+.f64 1 (+.f64 (/.f64 (-.f64 (-.f64 1 x) (pow.f64 (exp.f64 x) (-.f64 -1 eps))) eps) (fma.f64 x eps (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) (+.f64 (*.f64 eps x) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (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 (fma.f64 -1 (fma.f64 -1 (-.f64 1 x) (neg.f64 x)) (fma.f64 eps x (neg.f64 (/.f64 (*.f64 -1 (-.f64 (-.f64 1 x) (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))))) eps)))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (+.f64 (*.f64 1 (-.f64 1 x)) (fma.f64 x eps x)) (/.f64 (fma.f64 -1 (-.f64 1 x) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps)))
(+.f64 1 (+.f64 (/.f64 (-.f64 (-.f64 1 x) (pow.f64 (exp.f64 x) (-.f64 -1 eps))) eps) (fma.f64 x eps (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
2
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 eps 1) (-.f64 eps 1)) eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) 2)
(fma.f64 (-.f64 (/.f64 (*.f64 (-.f64 eps 1) (+.f64 1 eps)) eps) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)))) x 2)
(fma.f64 x (+.f64 (/.f64 (*.f64 (-.f64 eps 1) (+.f64 1 eps)) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) 2)
(fma.f64 x (fma.f64 (/.f64 (+.f64 1 eps) eps) (-.f64 eps 1) (+.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 -1 eps))) 2)
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(-.f64 (-.f64 (/.f64 (neg.f64 eps) (*.f64 (*.f64 (pow.f64 x 3) (+.f64 1 eps)) (pow.f64 (-.f64 1 eps) 3))) (/.f64 eps (*.f64 (*.f64 x (fma.f64 x eps x)) (pow.f64 (-.f64 1 eps) 2)))) (/.f64 (/.f64 eps (fma.f64 x eps x)) (-.f64 1 eps)))
(-.f64 (/.f64 (neg.f64 (/.f64 eps (fma.f64 x eps x))) (-.f64 1 eps)) (+.f64 (/.f64 eps (*.f64 (*.f64 x (fma.f64 x eps x)) (pow.f64 (-.f64 eps 1) 2))) (/.f64 eps (*.f64 (pow.f64 x 3) (*.f64 (+.f64 1 eps) (pow.f64 (-.f64 1 eps) 3))))))
(+.f64 (*.f64 -1 (/.f64 eps (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (+.f64 1 eps) x)))) (+.f64 (*.f64 -1 (/.f64 eps (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 2) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (/.f64 eps (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 4) (*.f64 (+.f64 1 eps) (pow.f64 x 4))))) (*.f64 -1 (/.f64 eps (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 3) (*.f64 (+.f64 1 eps) (pow.f64 x 3))))))))
(fma.f64 -1 (/.f64 eps (*.f64 (+.f64 1 (neg.f64 eps)) (fma.f64 eps x x))) (fma.f64 -1 (/.f64 eps (*.f64 (*.f64 (*.f64 x x) (+.f64 1 eps)) (pow.f64 (+.f64 1 (neg.f64 eps)) 2))) (fma.f64 -1 (/.f64 eps (*.f64 (*.f64 (+.f64 1 eps) (pow.f64 x 4)) (pow.f64 (+.f64 1 (neg.f64 eps)) 4))) (/.f64 (neg.f64 eps) (*.f64 (*.f64 (pow.f64 x 3) (+.f64 1 eps)) (pow.f64 (+.f64 1 (neg.f64 eps)) 3))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 eps) (*.f64 (*.f64 (pow.f64 x 3) (+.f64 1 eps)) (pow.f64 (-.f64 1 eps) 3))) (/.f64 eps (*.f64 (*.f64 (+.f64 1 eps) (pow.f64 x 4)) (pow.f64 (-.f64 1 eps) 4)))) (/.f64 eps (*.f64 (*.f64 x (fma.f64 x eps x)) (pow.f64 (-.f64 1 eps) 2)))) (/.f64 (/.f64 eps (fma.f64 x eps x)) (-.f64 1 eps)))
(-.f64 (-.f64 (/.f64 (neg.f64 eps) (*.f64 (pow.f64 x 3) (*.f64 (+.f64 1 eps) (pow.f64 (-.f64 1 eps) 3)))) (/.f64 eps (*.f64 (+.f64 1 eps) (*.f64 (pow.f64 x 4) (pow.f64 (-.f64 eps 1) 4))))) (+.f64 (/.f64 (/.f64 eps (fma.f64 x eps x)) (-.f64 1 eps)) (/.f64 eps (*.f64 (*.f64 x (fma.f64 x eps x)) (pow.f64 (-.f64 eps 1) 2)))))

eval641.0ms (5.5%)

Compiler

Compiled 27219 to 17895 computations (34.3% saved)

prune147.0ms (1.3%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New9116917
Fresh022
Picked101
Done358
Total91513928
Error
0.0b
Counts
928 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
16.7b
(/.f64 (-.f64 (+.f64 1 (*.f64 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)
45.7b
(/.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 eps (+.f64 1 eps)) (/.f64 (-.f64 x (*.f64 x eps)) (/.f64 (+.f64 1 eps) eps)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
0.3b
(/.f64 (*.f64 2 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)
48.5b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 eps (neg.f64 x)) 1))) 2)
42.0b
(/.f64 (-.f64 (/.f64 1 (/.f64 eps (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 eps 1)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) 2)
12.7b
(/.f64 (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) 2)
✓16.8b
(/.f64 (*.f64 2 (fma.f64 x (*.f64 -1/2 x) 1)) 2)
48.6b
(/.f64 (-.f64 (/.f64 1 (/.f64 eps (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 eps 1)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
✓46.5b
(*.f64 1/2 0)
✓16.6b
(/.f64 2 2)
✓0.3b
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
20.1b
(/.f64 (fma.f64 1/2 (*.f64 (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 eps -1) 2)) (*.f64 x x)) (-.f64 2 x)) 2)
Compiler

Compiled 240 to 183 computations (23.8% saved)

regimes71.0ms (0.6%)

Counts
28 → 1
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 2 2)
(*.f64 1/2 0)
(/.f64 (-.f64 (/.f64 1 (/.f64 eps (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 eps 1)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) 2)
(/.f64 (*.f64 2 (fma.f64 x (*.f64 -1/2 x) 1)) 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 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 eps (neg.f64 x)) 1))) 2)
(/.f64 (-.f64 (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 (/.f64 1 (/.f64 eps (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 eps 1)))) (*.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 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (/.f64 (+.f64 eps 1) eps)) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (/.f64 1 (/.f64 eps (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 eps 1)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 eps (+.f64 1 eps)) (/.f64 (-.f64 x (*.f64 x eps)) (/.f64 (+.f64 1 eps) eps)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (*.f64 2 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)
(/.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 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 (fma.f64 1/2 (*.f64 (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 eps -1) 2)) (*.f64 x x)) (-.f64 2 x)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (*.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (-.f64 eps 1) 2)))))) (*.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 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) 2)
Calls

6 calls:

24.0ms
x
15.0ms
eps
4.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
4.0ms
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
4.0ms
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Results
ErrorSegmentsBranch
0.3b1x
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 667 to 469 computations (29.7% saved)

regimes58.0ms (0.5%)

Counts
18 → 1
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 2 2)
(*.f64 1/2 0)
(/.f64 (-.f64 (/.f64 1 (/.f64 eps (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 eps 1)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) 2)
(/.f64 (*.f64 2 (fma.f64 x (*.f64 -1/2 x) 1)) 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 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 eps (neg.f64 x)) 1))) 2)
(/.f64 (-.f64 (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 (/.f64 1 (/.f64 eps (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 eps 1)))) (*.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 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (/.f64 (+.f64 eps 1) eps)) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (/.f64 1 (/.f64 eps (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 eps 1)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 eps (+.f64 1 eps)) (/.f64 (-.f64 x (*.f64 x eps)) (/.f64 (+.f64 1 eps) eps)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (*.f64 2 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)
(/.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x)))) 2)
Outputs
(/.f64 (*.f64 2 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)
Calls

2 calls:

21.0ms
eps
20.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
0.3b1eps
Compiler

Compiled 328 to 237 computations (27.7% saved)

regimes85.0ms (0.7%)

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

2 calls:

48.0ms
x
20.0ms
eps
Results
ErrorSegmentsBranch
0.3b1x
0.3b1eps
Compiler

Compiled 307 to 224 computations (27% saved)

regimes70.0ms (0.6%)

Counts
5 → 2
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 2 2)
(*.f64 1/2 0)
(/.f64 (-.f64 (/.f64 1 (/.f64 eps (*.f64 (+.f64 (-.f64 (*.f64 x eps) x) 1) (+.f64 eps 1)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) 2)
(/.f64 (*.f64 2 (fma.f64 x (*.f64 -1/2 x) 1)) 2)
Outputs
(/.f64 (*.f64 2 (fma.f64 x (*.f64 -1/2 x) 1)) 2)
(*.f64 1/2 0)
Calls

2 calls:

46.0ms
eps
20.0ms
x
Results
ErrorSegmentsBranch
1.0b2x
16.6b1eps
Compiler

Compiled 58 to 46 computations (20.7% saved)

bsearch291.0ms (2.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
291.0ms
0.0017607597670078478
4074.8811780154047
Compiler

Compiled 207 to 182 computations (12.1% saved)

regimes14.0ms (0.1%)

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

2 calls:

8.0ms
x
4.0ms
eps
Results
ErrorSegmentsBranch
1.1b2x
16.6b1eps
Compiler

Compiled 48 to 38 computations (20.8% saved)

bsearch176.0ms (1.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
175.0ms
0.0017607597670078478
4074.8811780154047
Compiler

Compiled 144 to 137 computations (4.9% saved)

regimes12.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

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

2 calls:

8.0ms
eps
3.0ms
x
Results
ErrorSegmentsBranch
16.6b1x
16.6b1eps
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03680
14980
25280
35380
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) 2)
(/.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 799388933858263/562949953421312) (/.f64 (*.f64 2 (fma.f64 x (*.f64 -1/2 x) 1)) 2) (*.f64 1/2 0))
(if (<=.f64 x 4000) (/.f64 2 2) (*.f64 1/2 0))
(/.f64 2 2)
Outputs
(/.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) 2)
(/.f64 (*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))) 2)
(/.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 799388933858263/562949953421312) (/.f64 (*.f64 2 (fma.f64 x (*.f64 -1/2 x) 1)) 2) (*.f64 1/2 0))
(if (<=.f64 x 799388933858263/562949953421312) (/.f64 (*.f64 2 (fma.f64 x (*.f64 x -1/2) 1)) 2) 0)
(if (<=.f64 x 4000) (/.f64 2 2) (*.f64 1/2 0))
(if (<=.f64 x 4000) 1 0)
(/.f64 2 2)
1
Compiler

Compiled 66 to 53 computations (19.7% saved)

soundness82.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
610×distribute-rgt-in_binary64
591×distribute-lft-in_binary64
440×cancel-sign-sub-inv_binary64
228×associate--l+_binary64
221×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02092990
17082633
226222142
Stop Event
1×node limit
Compiler

Compiled 241 to 139 computations (42.3% saved)

end69.0ms (0.6%)

Compiler

Compiled 56 to 43 computations (23.2% saved)

Profiling

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