Details

Time bar (total: 11.0s)

analyze145.0ms (1.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%87.4%0.1%12.5%0%0%6
25.5%20.3%59.3%0.1%18.7%0%1.6%7
29%21.1%51.5%0.1%25%0%2.3%8
53.8%35.5%30.4%0.1%28.1%0%5.9%9
57.7%35.7%26.1%0.1%31.2%0%6.8%10
73.5%42.8%15.4%0.1%32.8%0%8.9%11
76.5%42.9%13.2%0.1%34.3%0%9.5%12
Compiler

Compiled 32 to 26 computations (18.8% saved)

sample3.2s (28.7%)

Results
1.3s2074×body1024valid
946.0ms4923×body256valid
400.0ms1052×body512valid
195.0ms207×body2048valid
152.0ms500×body256infinite
89.0ms427×body256unsamplable
9.0ms18×body1024infinite
5.0msbody512infinite
Bogosity

preprocess55.0ms (0.5%)

Algorithm
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
saturated
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)

simplify31.0ms (0.3%)

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

eval3.0ms (0%)

Compiler

Compiled 164 to 118 computations (28% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New336
Fresh101
Picked000
Done000
Total437
Error
30.8b
Counts
7 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
42.9b
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
44.8b
(/.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)
30.8b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
Compiler

Compiled 89 to 69 computations (22.5% saved)

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
0.0b
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
0.0b
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
3.9b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
Compiler

Compiled 136 to 92 computations (32.4% saved)

series16.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite107.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
866×fma-def_binary64
347×fma-neg_binary64
329×expm1-udef_binary64
328×log1p-udef_binary64
204×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01884
140371
2574462
Stop Event
node limit
Counts
4 → 241
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (*.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 2)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (*.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (+.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 2) (cbrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) (sqrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 3)) (/.f64 1 (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (fma.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 1 (fma.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)) (exp.f64 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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 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (-.f64 (+.f64 1 (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 (+.f64 1 (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 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (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 fma.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 fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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 fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.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 fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))))))

simplify207.0ms (1.9%)

Algorithm
egg-herbie
Rules
910×times-frac_binary64
671×fma-neg_binary64
428×associate-*r*_binary64
368×associate-*l*_binary64
357×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061514187
1168713062
2632212974
Stop Event
node limit
Counts
337 → 434
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (+.f64 (*.f64 1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7))) (*.f64 1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6)))) (+.f64 (*.f64 -1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6))) (*.f64 -1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7)))))) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
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1
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1
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(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) 1))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (neg.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) 1))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (neg.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (*.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) 1))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (neg.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) 1))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (neg.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) 1) (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 1)
(*.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(/.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1)
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 3)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2))) (cbrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) -1) x)
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(*.f64 (exp.f64 (fma.f64 eps x x)) 1)
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (fma.f64 eps x x)) 1)
(pow.f64 (exp.f64 (+.f64 1 eps)) x)
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(pow.f64 (E.f64) (fma.f64 eps x x))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) -1) x)
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))
(+.f64 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(+.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 1)
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (pow.f64 eps -3))) (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 -1 eps)))
(pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 2)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) 1/3)
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))) 1))
(fma.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(fma.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))
(fma.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))
Outputs
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (*.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 eps (*.f64 eps (-.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (pow.f64 x 3) (*.f64 (exp.f64 (neg.f64 x)) 1/6))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6)))))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (fma.f64 eps (*.f64 eps (-.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (pow.f64 x 3) (*.f64 (exp.f64 (neg.f64 x)) 1/6))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6))))) (*.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
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2
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1
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(log1p.f64 (expm1.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))
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(fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (pow.f64 eps -1)))))
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(fma.f64 1 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (*.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) 1))
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(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (*.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 1))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (/.f64 1 eps))))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (/.f64 1 eps))))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (/.f64 1 eps)))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (pow.f64 eps -1))))) (sqrt.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (pow.f64 eps -1))))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (pow.f64 eps -1))))) (sqrt.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (pow.f64 eps -1))))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 -1 (pow.f64 eps -1)))))
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(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (pow.f64 eps -1))))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 3)
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (pow.f64 eps -1))))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 2)
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (pow.f64 eps -1))))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) 1/3)
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (pow.f64 eps -1))))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (pow.f64 eps -1))))
(log.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (pow.f64 eps -1))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (pow.f64 eps -1))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (pow.f64 eps -1))))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (pow.f64 eps -1))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (pow.f64 eps -1))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (pow.f64 eps -1))))
(exp.f64 (*.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))) 1))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (pow.f64 eps -1))))
(fma.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 (+.f64 1 (pow.f64 eps -1)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 (+.f64 1 (pow.f64 eps -1)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 (+.f64 1 (pow.f64 eps -1)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 (+.f64 1 (pow.f64 eps -1)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 (+.f64 1 (pow.f64 eps -1)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 (+.f64 1 (pow.f64 eps -1)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 (+.f64 1 (pow.f64 eps -1)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 (+.f64 1 (pow.f64 eps -1)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 (+.f64 1 (pow.f64 eps -1)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 (+.f64 1 (pow.f64 eps -1)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 (+.f64 1 (pow.f64 eps -1)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 (+.f64 1 (pow.f64 eps -1)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))

localize61.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (neg.f64 (+.f64 1 eps)))
0.5b
(pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)
0.5b
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
4.1b
(-.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)))
Compiler

Compiled 137 to 100 computations (27% saved)

series107.0ms (1%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
27.0ms
eps
@-inf
(pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)
23.0ms
eps
@inf
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
15.0ms
eps
@inf
(pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)
9.0ms
eps
@-inf
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
9.0ms
eps
@-inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)))

rewrite526.0ms (4.8%)

Algorithm
batch-egg-rewrite
Rules
872×fma-def_binary64
366×fma-neg_binary64
334×expm1-udef_binary64
333×log1p-udef_binary64
218×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01972
143260
2617657
Stop Event
node limit
Counts
4 → 222
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)))
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
(pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)
(exp.f64 (neg.f64 (+.f64 1 eps)))
Outputs
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simplify223.0ms (2%)

Algorithm
egg-herbie
Rules
649×unswap-sqr_binary64
460×fma-neg_binary64
327×associate-*r*_binary64
282×fma-def_binary64
262×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058013384
1154812358
2517312247
Stop Event
node limit
Counts
306 → 387
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7))) (*.f64 1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6)))) (+.f64 (*.f64 -1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7))) (*.f64 -1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6))))) (pow.f64 eps 6)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
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2
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(exp.f64 (*.f64 -1 x))
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(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
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(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
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(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
1
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(exp.f64 (*.f64 -1 x))
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(exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
1
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(exp.f64 -1)
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(exp.f64 (-.f64 (*.f64 -1 eps) 1))
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(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))) (*.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 1))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))) (+.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 2)) (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (*.f64 (-.f64 1 (/.f64 1 eps)) 1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (*.f64 (-.f64 1 (/.f64 1 eps)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x)))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (*.f64 (-.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))) 2)) (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))) 2)) (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))) 1))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))) 2)) (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))) 2)) (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))) (neg.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)))) (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)))) (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))) 1))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)))) (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)))) (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))) (neg.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))))
(fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (*.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))) 1))
(fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))
(fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (neg.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))))
(fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))) 1))
(fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))
(fma.f64 (*.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (neg.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)))) 1)
(*.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) x)))
(*.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)) 1)
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))) 2) (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(*.f64 (pow.f64 1 x) (exp.f64 (*.f64 (-.f64 1 eps) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 eps))) 2) x) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 eps))) x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 eps))) x) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 eps))) x))
(/.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) x)))
(/.f64 1 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)) 1))
(/.f64 -1 (neg.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (+.f64 x x)))
(log.f64 (exp.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)))))
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(exp.f64 (*.f64 (-.f64 1 eps) x))
(exp.f64 (*.f64 (*.f64 (-.f64 1 eps) x) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 1)
(*.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 1)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(*.f64 (pow.f64 1 x) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) 2) x) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 -1 eps))) x) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 -1 eps))) x))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (*.f64 (*.f64 x (-.f64 -1 eps)) 1))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 -1 eps)))) 1)
(*.f64 1 (exp.f64 (-.f64 -1 eps)))
(*.f64 (exp.f64 (-.f64 -1 eps)) 1)
(*.f64 (exp.f64 -1) (exp.f64 (neg.f64 eps)))
(*.f64 (exp.f64 eps) (E.f64))
(*.f64 (E.f64) (exp.f64 eps))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) 2) (cbrt.f64 (exp.f64 (-.f64 -1 eps))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 -1 eps))) (sqrt.f64 (exp.f64 (-.f64 -1 eps))))
(/.f64 1 (exp.f64 (-.f64 -1 eps)))
(/.f64 1 (/.f64 (exp.f64 (-.f64 -1 eps)) 1))
(/.f64 -1 (neg.f64 (exp.f64 (-.f64 -1 eps))))
(pow.f64 (exp.f64 (-.f64 -1 eps)) 1)
(pow.f64 (exp.f64 (-.f64 -1 eps)) -1)
(pow.f64 (exp.f64 -1) (-.f64 -1 eps))
(pow.f64 (E.f64) (-.f64 -1 eps))
(pow.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 -1 eps))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 -1 eps))) (sqrt.f64 (-.f64 -1 eps)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) 2))) (cbrt.f64 (-.f64 -1 eps)))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 -1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 -1 eps)))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 -1 eps))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 -1 eps))))
Outputs
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 eps (*.f64 eps (-.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) 1/6))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6)))))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(+.f64 (fma.f64 eps (*.f64 eps (-.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) 1/6))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6))))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
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2
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1
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1
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(*.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (+.f64 -1 (/.f64 1 eps))) 3)) (/.f64 1 (fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (+.f64 -1 (/.f64 1 eps))) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2))))
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(/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps))) 3)) (fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 -1 (/.f64 1 eps))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) 2)))
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(/.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (*.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))) (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))))) (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)))))
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(/.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 -1 (/.f64 1 eps))) 2)) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 2) (*.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))) (-.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 2) (*.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (+.f64 -1 (/.f64 1 eps)))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (+.f64 -1 (/.f64 1 eps)))))) (-.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (+.f64 -1 (/.f64 1 eps))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))) 2) (*.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 -1 (/.f64 1 eps)))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 -1 (/.f64 1 eps)))))) (-.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 -1 (/.f64 1 eps))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))) 2) (*.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 -1 (/.f64 1 eps)))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 -1 (/.f64 1 eps)))))) (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 -1 (/.f64 1 eps)))))))
(pow.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 1)
(fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 3) 1/3)
(fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 3)
(fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))))
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(fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))))
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(fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))
(fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))))
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(fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))))
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(fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))))
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(fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))))
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(fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))
(fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
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(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 1))
(fma.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
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(exp.f64 (*.f64 x (-.f64 -1 eps)))
(pow.f64 (exp.f64 (fma.f64 -1 eps -1)) x)
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (*.f64 (*.f64 x (-.f64 -1 eps)) 1))
(pow.f64 (exp.f64 (fma.f64 -1 eps -1)) x)
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 -1 eps)))) 1)
(exp.f64 (fma.f64 -1 eps -1))
(exp.f64 (-.f64 -1 eps))
(*.f64 1 (exp.f64 (-.f64 -1 eps)))
(exp.f64 (fma.f64 -1 eps -1))
(exp.f64 (-.f64 -1 eps))
(*.f64 (exp.f64 (-.f64 -1 eps)) 1)
(exp.f64 (fma.f64 -1 eps -1))
(exp.f64 (-.f64 -1 eps))
(*.f64 (exp.f64 -1) (exp.f64 (neg.f64 eps)))
(exp.f64 (fma.f64 -1 eps -1))
(exp.f64 (-.f64 -1 eps))
(*.f64 (exp.f64 eps) (E.f64))
(exp.f64 (+.f64 eps 1))
(*.f64 (E.f64) (exp.f64 eps))
(*.f64 (exp.f64 eps) (E.f64))
(exp.f64 (+.f64 eps 1))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) 2))
(exp.f64 (fma.f64 -1 eps -1))
(exp.f64 (-.f64 -1 eps))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) 2) (cbrt.f64 (exp.f64 (-.f64 -1 eps))))
(exp.f64 (fma.f64 -1 eps -1))
(exp.f64 (-.f64 -1 eps))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 -1 eps))) (sqrt.f64 (exp.f64 (-.f64 -1 eps))))
(exp.f64 (fma.f64 -1 eps -1))
(exp.f64 (-.f64 -1 eps))
(/.f64 1 (exp.f64 (-.f64 -1 eps)))
(*.f64 (exp.f64 eps) (E.f64))
(exp.f64 (+.f64 eps 1))
(/.f64 1 (/.f64 (exp.f64 (-.f64 -1 eps)) 1))
(*.f64 (exp.f64 eps) (E.f64))
(exp.f64 (+.f64 eps 1))
(/.f64 -1 (neg.f64 (exp.f64 (-.f64 -1 eps))))
(*.f64 (exp.f64 eps) (E.f64))
(exp.f64 (+.f64 eps 1))
(pow.f64 (exp.f64 (-.f64 -1 eps)) 1)
(exp.f64 (fma.f64 -1 eps -1))
(exp.f64 (-.f64 -1 eps))
(pow.f64 (exp.f64 (-.f64 -1 eps)) -1)
(*.f64 (exp.f64 eps) (E.f64))
(exp.f64 (+.f64 eps 1))
(pow.f64 (exp.f64 -1) (-.f64 -1 eps))
(*.f64 (exp.f64 eps) (E.f64))
(exp.f64 (+.f64 eps 1))
(pow.f64 (E.f64) (-.f64 -1 eps))
(exp.f64 (fma.f64 -1 eps -1))
(exp.f64 (-.f64 -1 eps))
(pow.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) 3) 1/3)
(exp.f64 (fma.f64 -1 eps -1))
(exp.f64 (-.f64 -1 eps))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) 3)
(exp.f64 (fma.f64 -1 eps -1))
(exp.f64 (-.f64 -1 eps))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 -1 eps))) 2)
(exp.f64 (fma.f64 -1 eps -1))
(exp.f64 (-.f64 -1 eps))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 -1 eps))) (sqrt.f64 (-.f64 -1 eps)))
(exp.f64 (fma.f64 -1 eps -1))
(exp.f64 (-.f64 -1 eps))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) 2))) (cbrt.f64 (-.f64 -1 eps)))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) 2))
(exp.f64 (fma.f64 -1 eps -1))
(exp.f64 (-.f64 -1 eps))
(log.f64 (exp.f64 (exp.f64 (-.f64 -1 eps))))
(exp.f64 (fma.f64 -1 eps -1))
(exp.f64 (-.f64 -1 eps))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 -1 eps)))))
(exp.f64 (fma.f64 -1 eps -1))
(exp.f64 (-.f64 -1 eps))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) 3))
(exp.f64 (fma.f64 -1 eps -1))
(exp.f64 (-.f64 -1 eps))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 -1 eps))))
(exp.f64 (fma.f64 -1 eps -1))
(exp.f64 (-.f64 -1 eps))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 -1 eps))))
(exp.f64 (fma.f64 -1 eps -1))
(exp.f64 (-.f64 -1 eps))

localize60.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
0.0b
(exp.f64 (fma.f64 eps x x))
0.5b
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
6.4b
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
Compiler

Compiled 101 to 61 computations (39.6% saved)

series16.0ms (0.1%)

Counts
4 → 72
Calls

24 calls:

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

rewrite104.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
668×prod-diff_binary64
341×fma-def_binary64
284×expm1-udef_binary64
283×log1p-udef_binary64
251×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01566
132464
2440464
Stop Event
node limit
Counts
4 → 135
Calls
Call 1
Inputs
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(exp.f64 (fma.f64 eps x x))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (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 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (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 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (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 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (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 (+.f64 eps 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(sqrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 1 (*.f64 (exp.f64 (fma.f64 eps x x)) eps))))))))

simplify151.0ms (1.4%)

Algorithm
egg-herbie
Rules
526×fma-neg_binary64
330×fma-def_binary64
314×associate-*r*_binary64
255×associate-*l*_binary64
241×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05716866
116505676
264795609
Stop Event
node limit
Counts
207 → 295
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
2
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2)
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 3))) (+.f64 (*.f64 1/6 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (+.f64 eps 1))) (*.f64 -1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3)))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 x)
(+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 x) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x))))
1
(+.f64 1 (*.f64 (+.f64 eps 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (+.f64 eps 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))))))
(/.f64 -1 (*.f64 eps (exp.f64 x)))
(-.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 1 (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2))))) (/.f64 1 eps))
(-.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 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x))))
(+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))
(+.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x))) 1) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))) 1)
(-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 (exp.f64 (fma.f64 eps x x)) eps)))
(*.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
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(+.f64 (fma.f64 (sqrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (*.f64 (/.f64 (/.f64 1 (cbrt.f64 eps)) (exp.f64 (fma.f64 eps x x))) (/.f64 (cbrt.f64 (pow.f64 eps -2)) 1)))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 (cbrt.f64 eps)) (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (pow.f64 eps -2)) 1) (*.f64 (/.f64 (/.f64 1 (cbrt.f64 eps)) (exp.f64 (fma.f64 eps x x))) (/.f64 (cbrt.f64 (pow.f64 eps -2)) 1))))
(+.f64 (fma.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (*.f64 (/.f64 (pow.f64 eps -1/2) (exp.f64 (fma.f64 eps x x))) (/.f64 (pow.f64 eps -1/2) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 eps -1/2) (exp.f64 (fma.f64 eps x x)))) (/.f64 (pow.f64 eps -1/2) 1) (*.f64 (/.f64 (pow.f64 eps -1/2) (exp.f64 (fma.f64 eps x x))) (/.f64 (pow.f64 eps -1/2) 1))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))) (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (*.f64 (/.f64 (pow.f64 eps -1/2) (exp.f64 (fma.f64 eps x x))) (/.f64 (pow.f64 eps -1/2) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 eps -1/2) (exp.f64 (fma.f64 eps x x)))) (/.f64 (pow.f64 eps -1/2) 1) (*.f64 (/.f64 (pow.f64 eps -1/2) (exp.f64 (fma.f64 eps x x))) (/.f64 (pow.f64 eps -1/2) 1))))
(+.f64 (fma.f64 (sqrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (*.f64 (/.f64 (pow.f64 eps -1/2) (exp.f64 (fma.f64 eps x x))) (/.f64 (pow.f64 eps -1/2) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 eps -1/2) (exp.f64 (fma.f64 eps x x)))) (/.f64 (pow.f64 eps -1/2) 1) (*.f64 (/.f64 (pow.f64 eps -1/2) (exp.f64 (fma.f64 eps x x))) (/.f64 (pow.f64 eps -1/2) 1))))
(+.f64 (fma.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (*.f64 (/.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (pow.f64 eps -2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))) (/.f64 (cbrt.f64 (pow.f64 eps -2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (*.f64 (/.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (pow.f64 eps -2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))) (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (*.f64 (/.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (pow.f64 eps -2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))) (/.f64 (cbrt.f64 (pow.f64 eps -2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (*.f64 (/.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (pow.f64 eps -2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (*.f64 (/.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (pow.f64 eps -2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))) (/.f64 (cbrt.f64 (pow.f64 eps -2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (*.f64 (/.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (pow.f64 eps -2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)))))
(+.f64 (fma.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (*.f64 (/.f64 (pow.f64 eps -1/2) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (pow.f64 eps -1/2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 eps -1/2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))) (/.f64 (pow.f64 eps -1/2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (*.f64 (/.f64 (pow.f64 eps -1/2) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (pow.f64 eps -1/2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))) (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (*.f64 (/.f64 (pow.f64 eps -1/2) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (pow.f64 eps -1/2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 eps -1/2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))) (/.f64 (pow.f64 eps -1/2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (*.f64 (/.f64 (pow.f64 eps -1/2) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (pow.f64 eps -1/2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (*.f64 (/.f64 (pow.f64 eps -1/2) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (pow.f64 eps -1/2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 eps -1/2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))) (/.f64 (pow.f64 eps -1/2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (*.f64 (/.f64 (pow.f64 eps -1/2) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (pow.f64 eps -1/2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)))))
(+.f64 (fma.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (*.f64 (/.f64 (/.f64 1 (cbrt.f64 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (pow.f64 eps -2)) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 (cbrt.f64 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))) (/.f64 (cbrt.f64 (pow.f64 eps -2)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (*.f64 (/.f64 (/.f64 1 (cbrt.f64 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (pow.f64 eps -2)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))) (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (*.f64 (/.f64 (/.f64 1 (cbrt.f64 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (pow.f64 eps -2)) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 (cbrt.f64 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))) (/.f64 (cbrt.f64 (pow.f64 eps -2)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (*.f64 (/.f64 (/.f64 1 (cbrt.f64 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (pow.f64 eps -2)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))))
(+.f64 (fma.f64 (sqrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (*.f64 (/.f64 (/.f64 1 (cbrt.f64 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (pow.f64 eps -2)) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 (cbrt.f64 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))) (/.f64 (cbrt.f64 (pow.f64 eps -2)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (*.f64 (/.f64 (/.f64 1 (cbrt.f64 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (pow.f64 eps -2)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 (exp.f64 (fma.f64 eps x x)) eps)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 1)
(*.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))
(*.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 1)
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(*.f64 (+.f64 -1 (neg.f64 (/.f64 -1 eps))) (/.f64 1 (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 eps x x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) 1) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 eps x x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 1)
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 2)
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 -1 eps)))) -1)
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)) 1))
(fma.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (/.f64 1 (*.f64 (exp.f64 (fma.f64 eps x x)) eps))))
(fma.f64 (*.f64 (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))) (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 1 (*.f64 (exp.f64 (fma.f64 eps x x)) eps))))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 1 (*.f64 (exp.f64 (fma.f64 eps x x)) 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)))))
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2
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1
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1
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(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 1)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(*.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(*.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x)))
(*.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 1)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 2)))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 2)))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2)) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps)))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 eps)))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x)))
(*.f64 (+.f64 -1 (neg.f64 (/.f64 -1 eps))) (/.f64 1 (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(/.f64 (*.f64 (-.f64 -1 (/.f64 -1 eps)) 1) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(/.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 x eps x))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 -1 eps)))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 eps x x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 eps x x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 x eps x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) 1) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 eps x x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x)))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 eps x x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 x eps x))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 1)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 3) 1/3)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 3)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 2)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 -1 eps)))) -1)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(/.f64 (*.f64 (-.f64 -1 (/.f64 -1 eps)) 1) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(/.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 x eps x))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 2))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 3))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)) 1))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(fma.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (/.f64 1 (*.f64 (exp.f64 (fma.f64 eps x x)) eps))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x)))
(fma.f64 (*.f64 (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))) (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 1 (*.f64 (exp.f64 (fma.f64 eps x x)) eps))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x)))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 1 (*.f64 (exp.f64 (fma.f64 eps x x)) eps))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x)))

eval988.0ms (9%)

Compiler

Compiled 53473 to 35486 computations (33.6% saved)

prune350.0ms (3.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1103131116
Fresh000
Picked101
Done202
Total1106131119
Error
0.0b
Counts
1119 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
42.9b
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3))) 2)
42.9b
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3))) 2)
43.0b
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (fma.f64 x eps x)))) 2)
46.8b
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
0.7b
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
47.1b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
1.1b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
19.6b
(/.f64 (+.f64 (fma.f64 (*.f64 -1 (-.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps))))) x 2) (*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (pow.f64 (-.f64 1 eps) 2) (+.f64 1 (/.f64 1 eps))) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1 (/.f64 1 eps))))))) 2)
1.1b
(/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
0.7b
(/.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) 0) (/.f64 x (exp.f64 x))) 2)
50.3b
(/.f64 (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 (+.f64 eps -1) x)))))) 2)
16.5b
(/.f64 2 2)
46.7b
(/.f64 0 2)
Compiler

Compiled 640 to 498 computations (22.2% saved)

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 79 to 32 computations (59.5% saved)

series3.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))
1.0ms
x
@-inf
(+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))
1.0ms
x
@-inf
(/.f64 x (exp.f64 x))
1.0ms
x
@0
(+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))
0.0ms
x
@inf
(/.f64 x (exp.f64 x))

rewrite59.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
849×pow1_binary64
794×add-log-exp_binary64
791×log1p-expm1-u_binary64
791×expm1-log1p-u_binary64
777×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0920
119215
2279715
Stop Event
node limit
Counts
2 → 75
Calls
Call 1
Inputs
(+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))
(/.f64 x (exp.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (exp.f64 x)) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (exp.f64 x) (-.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 2 (exp.f64 x)) 2) (*.f64 (exp.f64 x) (-.f64 2 x))) (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (exp.f64 x) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2) (/.f64 1 (*.f64 (exp.f64 x) (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 2 x))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 2 x))) 2))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (exp.f64 x) (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (exp.f64 x) (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (exp.f64 x) (*.f64 2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) 2 (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (exp.f64 x)) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 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((#(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 (exp.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (exp.f64 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 (/.f64 (cbrt.f64 (*.f64 x x)) 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 (cbrt.f64 (*.f64 x x)) (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 (cbrt.f64 (*.f64 x x)) (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))))))

simplify64.0ms (0.6%)

Algorithm
egg-herbie
Rules
743×fma-def_binary64
378×unswap-sqr_binary64
312×cancel-sign-sub-inv_binary64
274×fma-neg_binary64
270×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01971283
14981168
218501015
376591015
Stop Event
node limit
Counts
91 → 129
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 -1 x)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (*.f64 -1 x))))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
(-.f64 (*.f64 2 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(-.f64 (+.f64 1 (*.f64 (exp.f64 x) (-.f64 2 x))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 2 (exp.f64 x)) 2) (*.f64 (exp.f64 x) (-.f64 2 x))) (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (-.f64 2 x))))
(*.f64 (exp.f64 x) (-.f64 2 x))
(*.f64 (exp.f64 x) (+.f64 2 x))
(*.f64 (exp.f64 x) (+.f64 x 2))
(*.f64 1 (*.f64 (exp.f64 x) (-.f64 2 x)))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2) (/.f64 1 (*.f64 (exp.f64 x) (-.f64 2 x))))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 2 x))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 2 x))) 2) (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 2 x))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 x) (-.f64 2 x))) (sqrt.f64 (*.f64 (exp.f64 x) (-.f64 2 x))))
(*.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 x) 3) 8) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2) (/.f64 (*.f64 2 (exp.f64 x)) (/.f64 (exp.f64 x) x)))))
(*.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 1)
(*.f64 (+.f64 (sqrt.f64 (*.f64 2 (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x)))) (-.f64 (sqrt.f64 (*.f64 2 (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x)))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2) (/.f64 (*.f64 2 (exp.f64 x)) (/.f64 (exp.f64 x) x))) (+.f64 (*.f64 (pow.f64 (exp.f64 x) 3) 8) (pow.f64 (*.f64 x (exp.f64 x)) 3))))
(/.f64 1 (/.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2)))
(/.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2) (*.f64 (exp.f64 x) (-.f64 2 x)))
(/.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 x) 3) 8) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2) (/.f64 (*.f64 2 (exp.f64 x)) (/.f64 (exp.f64 x) x))))
(/.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 x) 3) 8) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (-.f64 (pow.f64 (*.f64 2 (exp.f64 x)) 2) (/.f64 (*.f64 2 (exp.f64 x)) (/.f64 (exp.f64 x) x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 x) 3) 8) (pow.f64 (*.f64 x (exp.f64 x)) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2) (/.f64 (*.f64 2 (exp.f64 x)) (/.f64 (exp.f64 x) x)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2)) (neg.f64 (*.f64 (exp.f64 x) (-.f64 2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) 3) 8) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 2 (exp.f64 x)) 2) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (/.f64 (*.f64 2 (exp.f64 x)) (/.f64 (exp.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (pow.f64 (*.f64 2 (exp.f64 x)) 2)) (-.f64 (*.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 x))))
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 2 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (-.f64 2 x))) 2)
(pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 1)
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2))
(log.f64 (exp.f64 (*.f64 (exp.f64 x) (-.f64 2 x))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (-.f64 2 x))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (-.f64 2 x))))
(exp.f64 (log.f64 (*.f64 (exp.f64 x) (-.f64 2 x))))
(fma.f64 2 (exp.f64 x) (*.f64 x (exp.f64 x)))
(fma.f64 x (exp.f64 x) (*.f64 2 (exp.f64 x)))
(fma.f64 (exp.f64 x) 2 (*.f64 x (exp.f64 x)))
(fma.f64 1 (*.f64 2 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(fma.f64 1 (*.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (*.f64 2 (exp.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 2 (exp.f64 x)) 2)) (cbrt.f64 (*.f64 2 (exp.f64 x))) (*.f64 x (exp.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (*.f64 2 (exp.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 2 (exp.f64 x))) (sqrt.f64 (*.f64 2 (exp.f64 x))) (*.f64 x (exp.f64 x)))
(-.f64 (+.f64 1 (*.f64 x (exp.f64 x))) 1)
(-.f64 (/.f64 0 (neg.f64 (exp.f64 x))) (*.f64 x (exp.f64 x)))
(*.f64 x (exp.f64 x))
(*.f64 x (/.f64 1 (neg.f64 (exp.f64 x))))
(*.f64 (exp.f64 x) x)
(*.f64 (*.f64 x (exp.f64 x)) 1)
(*.f64 1 (*.f64 x (exp.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (exp.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 x (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (exp.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (exp.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 x (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (*.f64 x (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (exp.f64 x))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(*.f64 (*.f64 x (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(pow.f64 (*.f64 x (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) 2)
(pow.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (exp.f64 x) x) -1)
(neg.f64 (*.f64 x (exp.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 x))))
(exp.f64 (+.f64 (log.f64 x) x))
Outputs
2
(+.f64 2 (*.f64 -1 x))
(-.f64 2 x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 -1 x)))
(fma.f64 1/6 (pow.f64 x 3) (-.f64 2 x))
(-.f64 (fma.f64 1/6 (pow.f64 x 3) 2) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 (-.f64 2 x) (*.f64 -1/12 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/12 (pow.f64 x 4) (neg.f64 x)) (fma.f64 1/6 (pow.f64 x 3) 2))
(fma.f64 1/6 (pow.f64 x 3) (-.f64 (fma.f64 -1/12 (pow.f64 x 4) 2) x))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(*.f64 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 (pow.f64 x 3) 1/2 (-.f64 x (*.f64 x x)))
(-.f64 (fma.f64 (pow.f64 x 3) 1/2 x) (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (fma.f64 -1/6 (pow.f64 x 4) x)))
(fma.f64 (pow.f64 x 3) 1/2 (-.f64 (fma.f64 (pow.f64 x 4) -1/6 x) (*.f64 x x)))
(fma.f64 (pow.f64 x 3) 1/2 (fma.f64 (pow.f64 x 4) -1/6 (*.f64 x (-.f64 1 x))))
(-.f64 (*.f64 2 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (-.f64 2 x))
(-.f64 (+.f64 1 (*.f64 (exp.f64 x) (-.f64 2 x))) 1)
(*.f64 (exp.f64 x) (-.f64 2 x))
(-.f64 (/.f64 (pow.f64 (*.f64 2 (exp.f64 x)) 2) (*.f64 (exp.f64 x) (-.f64 2 x))) (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (-.f64 2 x))))
(-.f64 (/.f64 (*.f64 4 (exp.f64 (+.f64 x x))) (*.f64 (exp.f64 x) (-.f64 2 x))) (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (-.f64 2 x))))
(-.f64 (*.f64 2 (/.f64 (*.f64 2 (exp.f64 x)) (-.f64 2 x))) (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (-.f64 2 x))))
(*.f64 (exp.f64 x) (-.f64 2 x))
(*.f64 (exp.f64 x) (+.f64 2 x))
(*.f64 (exp.f64 x) (+.f64 x 2))
(*.f64 (exp.f64 x) (+.f64 2 x))
(*.f64 1 (*.f64 (exp.f64 x) (-.f64 2 x)))
(*.f64 (exp.f64 x) (-.f64 2 x))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2) (/.f64 1 (*.f64 (exp.f64 x) (-.f64 2 x))))
(*.f64 (exp.f64 x) (-.f64 2 x))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 2 x))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 2 x))) 2))
(*.f64 (exp.f64 x) (-.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 2 x))) 2) (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 2 x))))
(*.f64 (exp.f64 x) (-.f64 2 x))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 x) (-.f64 2 x))) (sqrt.f64 (*.f64 (exp.f64 x) (-.f64 2 x))))
(*.f64 (exp.f64 x) (-.f64 2 x))
(*.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 x) 3) 8) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2) (/.f64 (*.f64 2 (exp.f64 x)) (/.f64 (exp.f64 x) x)))))
(*.f64 (fma.f64 (pow.f64 (exp.f64 x) 3) 8 (pow.f64 (*.f64 x (exp.f64 x)) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2) (*.f64 (/.f64 (*.f64 2 (exp.f64 x)) (exp.f64 x)) x))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 8 (pow.f64 x 3))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2) (*.f64 x (/.f64 (exp.f64 x) (/.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 x 3) 8)) (fma.f64 -2 x (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2)))
(*.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 1)
(*.f64 (exp.f64 x) (-.f64 2 x))
(*.f64 (+.f64 (sqrt.f64 (*.f64 2 (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x)))) (-.f64 (sqrt.f64 (*.f64 2 (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x)))))
(*.f64 (exp.f64 x) (-.f64 2 x))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2) (/.f64 (*.f64 2 (exp.f64 x)) (/.f64 (exp.f64 x) x))) (+.f64 (*.f64 (pow.f64 (exp.f64 x) 3) 8) (pow.f64 (*.f64 x (exp.f64 x)) 3))))
(*.f64 (fma.f64 (pow.f64 (exp.f64 x) 3) 8 (pow.f64 (*.f64 x (exp.f64 x)) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2) (*.f64 (/.f64 (*.f64 2 (exp.f64 x)) (exp.f64 x)) x))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 8 (pow.f64 x 3))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2) (*.f64 x (/.f64 (exp.f64 x) (/.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 x 3) 8)) (fma.f64 -2 x (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2)))
(/.f64 1 (/.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2)))
(*.f64 (exp.f64 x) (-.f64 2 x))
(/.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2) (*.f64 (exp.f64 x) (-.f64 2 x)))
(*.f64 (exp.f64 x) (-.f64 2 x))
(/.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 x) 3) 8) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2) (/.f64 (*.f64 2 (exp.f64 x)) (/.f64 (exp.f64 x) x))))
(*.f64 (fma.f64 (pow.f64 (exp.f64 x) 3) 8 (pow.f64 (*.f64 x (exp.f64 x)) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2) (*.f64 (/.f64 (*.f64 2 (exp.f64 x)) (exp.f64 x)) x))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 8 (pow.f64 x 3))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2) (*.f64 x (/.f64 (exp.f64 x) (/.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 x 3) 8)) (fma.f64 -2 x (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2)))
(/.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 x) 3) 8) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (-.f64 (pow.f64 (*.f64 2 (exp.f64 x)) 2) (/.f64 (*.f64 2 (exp.f64 x)) (/.f64 (exp.f64 x) x)))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) 3) 8 (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (-.f64 (pow.f64 (*.f64 2 (exp.f64 x)) 2) (*.f64 (/.f64 (*.f64 2 (exp.f64 x)) (exp.f64 x)) x))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 8 (pow.f64 x 3))) (+.f64 (*.f64 4 (exp.f64 (+.f64 x x))) (+.f64 (/.f64 (*.f64 (exp.f64 x) -2) (/.f64 (exp.f64 x) x)) (pow.f64 (*.f64 x (exp.f64 x)) 2))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 x 3) 8)) (+.f64 (*.f64 x -2) (*.f64 (exp.f64 (+.f64 x x)) (+.f64 4 (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 x) 3) 8) (pow.f64 (*.f64 x (exp.f64 x)) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2) (/.f64 (*.f64 2 (exp.f64 x)) (/.f64 (exp.f64 x) x)))))
(*.f64 (fma.f64 (pow.f64 (exp.f64 x) 3) 8 (pow.f64 (*.f64 x (exp.f64 x)) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2) (*.f64 (/.f64 (*.f64 2 (exp.f64 x)) (exp.f64 x)) x))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 8 (pow.f64 x 3))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2) (*.f64 x (/.f64 (exp.f64 x) (/.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 x 3) 8)) (fma.f64 -2 x (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2)) (neg.f64 (*.f64 (exp.f64 x) (-.f64 2 x))))
(*.f64 (exp.f64 x) (-.f64 2 x))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) 3) 8) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 2 (exp.f64 x)) 2) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (/.f64 (*.f64 2 (exp.f64 x)) (/.f64 (exp.f64 x) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) 3) 8) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 2 (exp.f64 x)) 2) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (/.f64 (*.f64 2 (exp.f64 x)) (exp.f64 x)) x))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (-.f64 8 (pow.f64 x 3))) (+.f64 (*.f64 4 (exp.f64 (+.f64 x x))) (fma.f64 (/.f64 (exp.f64 x) (/.f64 (exp.f64 x) 2)) x (pow.f64 (*.f64 x (exp.f64 x)) 2))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (-.f64 8 (pow.f64 x 3))) (fma.f64 2 x (*.f64 (exp.f64 (+.f64 x x)) (+.f64 4 (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (pow.f64 (*.f64 2 (exp.f64 x)) 2)) (-.f64 (*.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (pow.f64 (*.f64 2 (exp.f64 x)) 2)) (*.f64 (exp.f64 x) (-.f64 x 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 4 (exp.f64 (+.f64 x x)))) (*.f64 (exp.f64 x) (+.f64 x -2)))
(/.f64 (*.f64 (exp.f64 (+.f64 x x)) (-.f64 (*.f64 x x) 4)) (*.f64 (exp.f64 x) (+.f64 x -2)))
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 3) 1/3)
(*.f64 (exp.f64 x) (-.f64 2 x))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 2 x))) 3)
(*.f64 (exp.f64 x) (-.f64 2 x))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (-.f64 2 x))) 2)
(*.f64 (exp.f64 x) (-.f64 2 x))
(pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 1)
(*.f64 (exp.f64 x) (-.f64 2 x))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 2))
(*.f64 (exp.f64 x) (-.f64 2 x))
(log.f64 (exp.f64 (*.f64 (exp.f64 x) (-.f64 2 x))))
(*.f64 (exp.f64 x) (-.f64 2 x))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 2 x)) 3))
(*.f64 (exp.f64 x) (-.f64 2 x))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (-.f64 2 x))))
(*.f64 (exp.f64 x) (-.f64 2 x))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (-.f64 2 x))))
(*.f64 (exp.f64 x) (-.f64 2 x))
(exp.f64 (log.f64 (*.f64 (exp.f64 x) (-.f64 2 x))))
(*.f64 (exp.f64 x) (-.f64 2 x))
(fma.f64 2 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 2 x))
(fma.f64 x (exp.f64 x) (*.f64 2 (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 2 x))
(fma.f64 (exp.f64 x) 2 (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 2 x))
(fma.f64 1 (*.f64 2 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 2 x))
(fma.f64 1 (*.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (*.f64 2 (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 2 x))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 2 (exp.f64 x)) 2)) (cbrt.f64 (*.f64 2 (exp.f64 x))) (*.f64 x (exp.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 4 (exp.f64 (+.f64 x x)))) (cbrt.f64 (*.f64 2 (exp.f64 x))) (*.f64 x (exp.f64 x)))
(fma.f64 x (exp.f64 x) (*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (exp.f64 x)) 2)) (cbrt.f64 (*.f64 2 (exp.f64 x)))))
(fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (*.f64 2 (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 2 x))
(fma.f64 (sqrt.f64 (*.f64 2 (exp.f64 x))) (sqrt.f64 (*.f64 2 (exp.f64 x))) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 2 x))
(-.f64 (+.f64 1 (*.f64 x (exp.f64 x))) 1)
(+.f64 (+.f64 (*.f64 x (exp.f64 x)) 1) -1)
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(-.f64 (/.f64 0 (neg.f64 (exp.f64 x))) (*.f64 x (exp.f64 x)))
(*.f64 x (neg.f64 (exp.f64 x)))
(*.f64 x (exp.f64 x))
(+.f64 (+.f64 (*.f64 x (exp.f64 x)) 1) -1)
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (/.f64 1 (neg.f64 (exp.f64 x))))
(/.f64 (*.f64 x 1) (neg.f64 (exp.f64 x)))
(/.f64 x (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 x) (exp.f64 x))
(*.f64 (exp.f64 x) x)
(+.f64 (+.f64 (*.f64 x (exp.f64 x)) 1) -1)
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(*.f64 (*.f64 x (exp.f64 x)) 1)
(+.f64 (+.f64 (*.f64 x (exp.f64 x)) 1) -1)
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(*.f64 1 (*.f64 x (exp.f64 x)))
(+.f64 (+.f64 (*.f64 x (exp.f64 x)) 1) -1)
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(*.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2))
(+.f64 (+.f64 (*.f64 x (exp.f64 x)) 1) -1)
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))))
(+.f64 (+.f64 (*.f64 x (exp.f64 x)) 1) -1)
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (exp.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (exp.f64 x) (cbrt.f64 x)))
(*.f64 (exp.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))))
(+.f64 (+.f64 (*.f64 x (exp.f64 x)) 1) -1)
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (exp.f64 x)))
(+.f64 (+.f64 (*.f64 x (exp.f64 x)) 1) -1)
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 x (sqrt.f64 (exp.f64 x))))
x
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (exp.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (exp.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (exp.f64 x)))
(/.f64 x (exp.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 x (cbrt.f64 (exp.f64 x))))
(/.f64 x (exp.f64 x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (*.f64 x (exp.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) (cbrt.f64 (*.f64 x x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))))
(/.f64 x (exp.f64 x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (exp.f64 x)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(+.f64 (+.f64 (*.f64 x (exp.f64 x)) 1) -1)
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(*.f64 (*.f64 x (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(+.f64 (+.f64 (*.f64 x (exp.f64 x)) 1) -1)
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(pow.f64 (*.f64 x (exp.f64 x)) 1)
(+.f64 (+.f64 (*.f64 x (exp.f64 x)) 1) -1)
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 3)
(+.f64 (+.f64 (*.f64 x (exp.f64 x)) 1) -1)
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) 2)
(+.f64 (+.f64 (*.f64 x (exp.f64 x)) 1) -1)
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) 1/3)
(+.f64 (+.f64 (*.f64 x (exp.f64 x)) 1) -1)
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(pow.f64 (/.f64 (exp.f64 x) x) -1)
(/.f64 x (exp.f64 x))
(neg.f64 (*.f64 x (exp.f64 x)))
(*.f64 x (neg.f64 (exp.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2))
(+.f64 (+.f64 (*.f64 x (exp.f64 x)) 1) -1)
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 x)))
(+.f64 (+.f64 (*.f64 x (exp.f64 x)) 1) -1)
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3))
(+.f64 (+.f64 (*.f64 x (exp.f64 x)) 1) -1)
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 x))))
(+.f64 (+.f64 (*.f64 x (exp.f64 x)) 1) -1)
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 x))))
(+.f64 (+.f64 (*.f64 x (exp.f64 x)) 1) -1)
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(exp.f64 (+.f64 (log.f64 x) x))
(+.f64 (+.f64 (*.f64 x (exp.f64 x)) 1) -1)
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize79.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiled 145 to 104 computations (28.3% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite124.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
347×expm1-udef_binary64
347×log1p-udef_binary64
231×add-sqr-sqrt_binary64
228×*-un-lft-identity_binary64
228×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01960
145152
2699752
Stop Event
node limit
Counts
2 → 94
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1))))))
(*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (fma.f64 eps x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (fma.f64 eps x x))) (fma.f64 (+.f64 -1 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (fma.f64 eps x x)))) (fma.f64 (+.f64 -1 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x)))))))) 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(+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (fma.f64 eps x x)) (log.f64 (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (fma.f64 eps x x)) (log.f64 (+.f64 (/.f64 1 eps) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1 eps) -1) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))))))

simplify100.0ms (0.9%)

Algorithm
egg-herbie
Rules
510×times-frac_binary64
427×unswap-sqr_binary64
408×fma-neg_binary64
310×fma-def_binary64
261×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03616107
112185642
247135397
Stop Event
node limit
Counts
142 → 246
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) x) 1) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 x eps) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) x) eps) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 x eps) (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) x) eps) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (/.f64 x eps)))))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))))
(*.f64 -1 (*.f64 eps x))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (*.f64 eps x))) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps) (/.f64 x eps)))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps) (/.f64 x eps)))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))))
(*.f64 -1 (*.f64 eps x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (-.f64 1 x))) eps)))) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (-.f64 1 x))) eps)))) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x)))
2
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) 2)
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 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 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))) (*.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))))))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps))
(/.f64 (-.f64 1 x) eps)
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))) (/.f64 x eps))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (*.f64 eps x) (*.f64 -1 x)))) (/.f64 x eps))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (*.f64 eps x) (*.f64 -1 x)))) (/.f64 x eps))
(*.f64 eps x)
(+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (*.f64 eps x) (*.f64 -1 x)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (*.f64 eps x) (*.f64 -1 x)))) (/.f64 x eps))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (*.f64 eps x) (*.f64 -1 x)))) (/.f64 x eps))
(*.f64 eps x)
(+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (*.f64 eps x) (*.f64 -1 x)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (*.f64 eps x) (*.f64 -1 x)))) (/.f64 x eps))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (*.f64 eps x) (*.f64 -1 x)))) (/.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 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)
(*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (fma.f64 eps x x))))
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (fma.f64 eps x x))) 1))
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (fma.f64 eps x x))) (fma.f64 (+.f64 -1 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x))))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (fma.f64 eps x x)))) (fma.f64 (+.f64 -1 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (fma.f64 eps x x)))) (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (fma.f64 eps x x))) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (fma.f64 eps x x)))) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (fma.f64 eps x x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (fma.f64 eps x x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x)))) 2) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (fma.f64 eps x x)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x))))) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (fma.f64 eps x x)))) (*.f64 (fma.f64 (+.f64 -1 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x)))) 1))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (fma.f64 eps x x)))) (+.f64 (fma.f64 (+.f64 -1 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x)))) (fma.f64 (+.f64 -1 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x))))))
(+.f64 (fma.f64 (+.f64 -1 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x)))) (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (fma.f64 eps x x)))))
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (fma.f64 eps x x))) (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))))
(*.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (fma.f64 eps x x)))))
(*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (fma.f64 eps x x)))) 1)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (fma.f64 eps x x))))) 2))
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(/.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (pow.f64 (fma.f64 eps x x) 3))) (+.f64 1 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (fma.f64 eps x x))))
(/.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (pow.f64 (fma.f64 eps x x) 2))) (+.f64 1 (fma.f64 eps x x)))
(/.f64 (*.f64 (+.f64 1 (fma.f64 eps x x)) (+.f64 -1 (pow.f64 eps -3))) (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps)))
(/.f64 (*.f64 (+.f64 1 (fma.f64 eps x x)) (+.f64 (pow.f64 eps -2) -1)) (+.f64 1 (/.f64 1 eps)))
(pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x)))) 2)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)) (+.f64 1 (fma.f64 eps x x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x))) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x)))))
(exp.f64 (+.f64 (log1p.f64 (fma.f64 eps x x)) (log.f64 (+.f64 (/.f64 1 eps) -1))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (fma.f64 eps x x)) (log.f64 (+.f64 (/.f64 1 eps) -1))) 1))
(fma.f64 1 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))
(fma.f64 (+.f64 (/.f64 1 eps) -1) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))
Outputs
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) x) 1) eps)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 x 1)) eps)
(/.f64 (+.f64 -1 (+.f64 x (exp.f64 (neg.f64 x)))) eps)
(/.f64 (+.f64 x (expm1.f64 (neg.f64 x))) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 x eps) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x eps))) (+.f64 (/.f64 1 eps) (fma.f64 -1 (-.f64 1 x) (neg.f64 x)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (/.f64 x eps)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (-.f64 (/.f64 1 eps) (-.f64 1 x)) x))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x eps)) (fma.f64 x (exp.f64 (neg.f64 x)) (+.f64 1 (/.f64 -1 eps)))))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) x) eps) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 x eps) (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))))
(-.f64 (fma.f64 (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) x) eps (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (fma.f64 (exp.f64 (neg.f64 x)) x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x eps))))) (+.f64 (/.f64 1 eps) (fma.f64 -1 (-.f64 1 x) (neg.f64 x))))
(-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (exp.f64 (neg.f64 x)) (/.f64 x eps))) (fma.f64 eps (-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) x) (/.f64 (exp.f64 (neg.f64 x)) eps))) (-.f64 (-.f64 (/.f64 1 eps) (-.f64 1 x)) x))
(+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (exp.f64 (neg.f64 x)) (/.f64 x eps)))) (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2) (neg.f64 x))) (+.f64 1 (/.f64 -1 eps))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) x) eps) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (/.f64 x eps)))))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) x) eps (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (/.f64 x eps)))))) (+.f64 (/.f64 1 eps) (fma.f64 -1 (-.f64 1 x) (neg.f64 x))))
(-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (/.f64 x eps) (fma.f64 eps (-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) x) (/.f64 (exp.f64 (neg.f64 x)) eps))) (fma.f64 (*.f64 eps eps) (fma.f64 1/2 (*.f64 x (*.f64 x (exp.f64 (neg.f64 x)))) (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (exp.f64 (neg.f64 x))))) (-.f64 (-.f64 (/.f64 1 eps) (-.f64 1 x)) x))
(+.f64 (+.f64 (+.f64 (/.f64 x eps) (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2) (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps))) (fma.f64 (*.f64 eps eps) (fma.f64 1/2 (*.f64 x (*.f64 x (exp.f64 (neg.f64 x)))) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) 1/6))) (exp.f64 (neg.f64 x)))) (fma.f64 x (exp.f64 (neg.f64 x)) (+.f64 1 (/.f64 -1 eps))))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (*.f64 eps x))) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x)))
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) (fma.f64 -1 (-.f64 1 x) (neg.f64 x)))
(-.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (neg.f64 (fma.f64 x eps -1)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps) (/.f64 x eps)))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))))
(+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (fma.f64 -1 (*.f64 x eps) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps))) (+.f64 (/.f64 1 eps) (fma.f64 -1 (-.f64 1 x) (neg.f64 x)))))
(+.f64 (-.f64 (+.f64 (/.f64 x eps) (/.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) eps)) (*.f64 x eps)) (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (-.f64 (-.f64 (/.f64 1 eps) (-.f64 1 x)) x)))
(+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) eps) (-.f64 (/.f64 x eps) (*.f64 x eps))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps) (/.f64 x eps)))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x))))
(+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (fma.f64 -1 (*.f64 x eps) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps))) (+.f64 (/.f64 1 eps) (fma.f64 -1 (-.f64 1 x) (neg.f64 x)))))
(+.f64 (-.f64 (+.f64 (/.f64 x eps) (/.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) eps)) (*.f64 x eps)) (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (-.f64 (-.f64 (/.f64 1 eps) (-.f64 1 x)) x)))
(+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) eps) (-.f64 (/.f64 x eps) (*.f64 x eps))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x)))
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) (fma.f64 -1 (-.f64 1 x) (neg.f64 x)))
(-.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (neg.f64 (fma.f64 x eps -1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (-.f64 1 x))) eps)))) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x)))
(-.f64 (+.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) (neg.f64 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 1 x))) eps))) (fma.f64 -1 (-.f64 1 x) (neg.f64 x)))
(-.f64 (-.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (*.f64 x eps)) (/.f64 (fma.f64 -1 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (-.f64 1 x)) eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 1 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (-.f64 (/.f64 (+.f64 (expm1.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) x) eps) (*.f64 x eps))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (-.f64 1 x))) eps)))) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 x)))
(-.f64 (+.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) (neg.f64 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 1 x))) eps))) (fma.f64 -1 (-.f64 1 x) (neg.f64 x)))
(-.f64 (-.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (*.f64 x eps)) (/.f64 (fma.f64 -1 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (-.f64 1 x)) eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 1 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (-.f64 (/.f64 (+.f64 (expm1.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) x) eps) (*.f64 x eps))))
2
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) 2)
(fma.f64 (*.f64 -1 (-.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))) x 2)
(fma.f64 x (fma.f64 (+.f64 -1 (/.f64 -1 eps)) (-.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))) 2)
(fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)) (+.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))) 2)
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 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))))))
(fma.f64 (*.f64 -1 (-.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))) x (+.f64 2 (*.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 eps) 2)))))
(fma.f64 x (fma.f64 (+.f64 -1 (/.f64 -1 eps)) (-.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 1 eps) 2) (+.f64 1 (/.f64 1 eps)))) 2))
(fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)) (+.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))) (fma.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 (*.f64 x x) (+.f64 1 (/.f64 1 eps)))) 2))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))) (*.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))))))
(+.f64 (fma.f64 (*.f64 -1 (-.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))) x 2) (fma.f64 1/2 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 eps) 2)) (+.f64 1 (/.f64 1 eps))) (*.f64 -1/6 (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)) (+.f64 1 (/.f64 1 eps))))))
(+.f64 (fma.f64 x (fma.f64 (+.f64 -1 (/.f64 -1 eps)) (-.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))) 2) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 1 eps) 2) (+.f64 1 (/.f64 1 eps)))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (-.f64 1 eps) 3) (+.f64 1 (/.f64 1 eps)))))))
(+.f64 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)) (+.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))) 2) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (-.f64 1 eps) 3) (+.f64 1 (/.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 (*.f64 x x) (+.f64 1 (/.f64 1 eps)))))))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(*.f64 (+.f64 1 eps) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)) (*.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps)))
(+.f64 1 (+.f64 (fma.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))) (/.f64 -1 eps)))
(+.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x) 1) (fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps))
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(/.f64 (+.f64 -1 (pow.f64 eps -2)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))
(/.f64 (+.f64 1 (fma.f64 x eps x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 (pow.f64 eps -2))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 eps x x) 3)) (+.f64 (/.f64 1 eps) -1)) (+.f64 1 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (fma.f64 eps x x))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 eps x x) 3)) (/.f64 (+.f64 1 (+.f64 (fma.f64 eps x x) (pow.f64 (fma.f64 eps x x) 2))) (+.f64 -1 (/.f64 1 eps))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x eps x) 3)) (/.f64 (+.f64 1 (+.f64 (fma.f64 x eps x) (pow.f64 (fma.f64 x eps x) 2))) (+.f64 -1 (/.f64 1 eps))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x eps x) 3)) (+.f64 1 (+.f64 (fma.f64 x eps x) (pow.f64 (fma.f64 x eps x) 2)))) (+.f64 -1 (/.f64 1 eps)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 eps x x) 2)) (+.f64 (/.f64 1 eps) -1)) (+.f64 1 (fma.f64 eps x x)))
(/.f64 (+.f64 -1 (/.f64 1 eps)) (/.f64 (+.f64 1 (fma.f64 eps x x)) (+.f64 1 (pow.f64 (fma.f64 eps x x) 2))))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 (fma.f64 x eps x))) (+.f64 1 (pow.f64 (fma.f64 x eps x) 2)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x eps x) 2)) (+.f64 1 (fma.f64 x eps x))) (+.f64 -1 (/.f64 1 eps)))
(/.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (pow.f64 (fma.f64 eps x x) 3))) (+.f64 1 (+.f64 (pow.f64 (fma.f64 eps x x) 2) (fma.f64 eps x x))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 eps x x) 3)) (/.f64 (+.f64 1 (+.f64 (fma.f64 eps x x) (pow.f64 (fma.f64 eps x x) 2))) (+.f64 -1 (/.f64 1 eps))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x eps x) 3)) (/.f64 (+.f64 1 (+.f64 (fma.f64 x eps x) (pow.f64 (fma.f64 x eps x) 2))) (+.f64 -1 (/.f64 1 eps))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x eps x) 3)) (+.f64 1 (+.f64 (fma.f64 x eps x) (pow.f64 (fma.f64 x eps x) 2)))) (+.f64 -1 (/.f64 1 eps)))
(/.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (pow.f64 (fma.f64 eps x x) 2))) (+.f64 1 (fma.f64 eps x x)))
(/.f64 (+.f64 -1 (/.f64 1 eps)) (/.f64 (+.f64 1 (fma.f64 eps x x)) (+.f64 1 (pow.f64 (fma.f64 eps x x) 2))))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 (fma.f64 x eps x))) (+.f64 1 (pow.f64 (fma.f64 x eps x) 2)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x eps x) 2)) (+.f64 1 (fma.f64 x eps x))) (+.f64 -1 (/.f64 1 eps)))
(/.f64 (*.f64 (+.f64 1 (fma.f64 eps x x)) (+.f64 -1 (pow.f64 eps -3))) (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps)))
(/.f64 (+.f64 1 (fma.f64 eps x x)) (/.f64 (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 -1 eps))) (+.f64 -1 (pow.f64 eps -3))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (+.f64 1 (fma.f64 x eps x)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))) (+.f64 1 (fma.f64 x eps x)))
(/.f64 (*.f64 (+.f64 1 (fma.f64 eps x x)) (+.f64 (pow.f64 eps -2) -1)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (+.f64 -1 (pow.f64 eps -2)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))
(/.f64 (+.f64 1 (fma.f64 x eps x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 (pow.f64 eps -2))))
(pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x))) 1)
(fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 (fma.f64 x eps x)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x)))) 3)
(fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 (fma.f64 x eps x)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x)))) 2)
(fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 (fma.f64 x eps x)))
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x))) 3) 1/3)
(fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 (fma.f64 x eps x)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x))) 2))
(fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 (fma.f64 x eps x)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)) (+.f64 1 (fma.f64 eps x x))))
(fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 (fma.f64 x eps x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x))))))
(fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 (fma.f64 x eps x)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x))) 3))
(fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 (fma.f64 x eps x)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x)))))
(fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 (fma.f64 x eps x)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (fma.f64 eps x x)))))
(fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 (fma.f64 x eps x)))
(exp.f64 (+.f64 (log1p.f64 (fma.f64 eps x x)) (log.f64 (+.f64 (/.f64 1 eps) -1))))
(exp.f64 (+.f64 (log1p.f64 (fma.f64 eps x x)) (log.f64 (+.f64 -1 (/.f64 1 eps)))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (log1p.f64 (fma.f64 x eps x))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (fma.f64 eps x x)) (log.f64 (+.f64 (/.f64 1 eps) -1))) 1))
(exp.f64 (+.f64 (log1p.f64 (fma.f64 eps x x)) (log.f64 (+.f64 -1 (/.f64 1 eps)))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (log1p.f64 (fma.f64 x eps x))))
(fma.f64 1 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))
(fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 (fma.f64 x eps x)))
(fma.f64 (+.f64 (/.f64 1 eps) -1) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))
(fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 (fma.f64 x eps x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))
(fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 (fma.f64 x eps x)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))
(fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 (fma.f64 x eps x)))

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 66 to 33 computations (50% saved)

series8.0ms (0.1%)

Counts
3 → 32
Calls

18 calls:

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

rewrite66.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
978×pow1_binary64
903×add-log-exp_binary64
902×log1p-expm1-u_binary64
902×expm1-log1p-u_binary64
102×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
120425
2254225
Stop Event
node limit
Counts
3 → 67
Calls
Call 1
Inputs
(exp.f64 (*.f64 (-.f64 eps 1) x))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(*.f64 (-.f64 eps 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) (+.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 (+.f64 eps -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 eps -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 eps -1) x))) (sqrt.f64 (*.f64 (+.f64 eps -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 eps -1) x)) 2)) (cbrt.f64 (*.f64 (+.f64 eps -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) -2)) (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) -1/2) (pow.f64 (exp.f64 (fma.f64 eps x x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) -1) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) -1) (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 eps x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (fma.f64 eps x x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 eps -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) (+.f64 x x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 eps -1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 eps 3) -1) x) (fma.f64 eps eps (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 eps 3) -1)) (fma.f64 eps eps (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 eps -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 eps -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 eps -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 eps -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 eps -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 eps -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 eps -1) x)))))))

simplify67.0ms (0.6%)

Algorithm
egg-herbie
Rules
381×associate-+l+_binary64
307×log-prod_binary64
305×associate-+r+_binary64
210×exp-prod_binary64
177×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02371412
16601285
224841198
373401198
Stop Event
node limit
Counts
99 → 145
Calls
Call 1
Inputs
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(/.f64 1 (exp.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 eps x) (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 eps x) (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (exp.f64 x)))) (pow.f64 eps 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (exp.f64 x)))) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (exp.f64 x))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 eps x) (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (exp.f64 x)))) (pow.f64 eps 2))))))
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 1 eps) 2)) (*.f64 1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 1 eps) 2)) (*.f64 1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) (+.f64 (*.f64 -1 (pow.f64 (+.f64 eps 1) 2)) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2))))) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 eps 1) 3)) (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 1 eps))))) (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 1)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) (+.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) (+.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 1)
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(pow.f64 (E.f64) (*.f64 (+.f64 eps -1) x))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) 3)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 eps -1) x))) (sqrt.f64 (*.f64 (+.f64 eps -1) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 eps -1) x)) 2)) (cbrt.f64 (*.f64 (+.f64 eps -1) x)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) (+.f64 x x)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))) 1)
(*.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 1)
(*.f64 (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) -2)) (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) -1/2) (pow.f64 (exp.f64 (fma.f64 eps x x)) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) -1) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) -1) (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) -1))
(pow.f64 (exp.f64 (fma.f64 eps x x)) -1)
(pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 1)
(pow.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) -1/2) 2)
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) -2))
(log.f64 (exp.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(cbrt.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(log1p.f64 (expm1.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(+.f64 0 (*.f64 (+.f64 eps -1) x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 x -1))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) (+.f64 x x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 eps -1) x))) 1)
(/.f64 (*.f64 (+.f64 (pow.f64 eps 3) -1) x) (fma.f64 eps eps (+.f64 eps 1)))
(/.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 eps 1))
(/.f64 (*.f64 x (+.f64 (pow.f64 eps 3) -1)) (fma.f64 eps eps (+.f64 eps 1)))
(/.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 eps 1))
(pow.f64 (*.f64 (+.f64 eps -1) x) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 eps -1) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 eps -1) x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 eps -1) x))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps -1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 eps -1) x)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 eps -1) x)))
(exp.f64 (log.f64 (*.f64 (+.f64 eps -1) x)))
Outputs
(exp.f64 (*.f64 -1 x))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 (*.f64 x eps)) (exp.f64 (neg.f64 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))))
(fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) (exp.f64 (neg.f64 x))) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) (exp.f64 x)) (*.f64 (+.f64 1 (*.f64 x eps)) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))))
(fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3))) (fma.f64 1/2 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) (exp.f64 (neg.f64 x))) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (/.f64 (pow.f64 x 3) (exp.f64 x))) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) (exp.f64 x)) (*.f64 (+.f64 1 (*.f64 x eps)) (exp.f64 (neg.f64 x)))))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps)))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(exp.f64 (-.f64 (*.f64 x eps) x))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps)))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(exp.f64 (-.f64 (*.f64 x eps) x))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps)))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(exp.f64 (-.f64 (*.f64 x eps) x))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps)))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(exp.f64 (-.f64 (*.f64 x eps) x))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 1 (*.f64 x (+.f64 -1 eps)))
(fma.f64 x (+.f64 -1 eps) 1)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 -1 eps) 2)) (+.f64 1 (*.f64 x (+.f64 -1 eps))))
(fma.f64 1/2 (pow.f64 (-.f64 (*.f64 x eps) x) 2) (fma.f64 x (+.f64 -1 eps) 1))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 -1 eps) 2)) (+.f64 1 (fma.f64 (+.f64 -1 eps) x (*.f64 1/6 (pow.f64 (*.f64 x (+.f64 -1 eps)) 3)))))
(+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (*.f64 x eps) x) 3) (-.f64 (*.f64 x eps) x)) (fma.f64 1/2 (pow.f64 (-.f64 (*.f64 x eps) x) 2) 1))
(+.f64 (fma.f64 x (+.f64 -1 eps) 1) (*.f64 (pow.f64 (-.f64 (*.f64 x eps) x) 2) (+.f64 (*.f64 1/6 (-.f64 (*.f64 x eps) x)) 1/2)))
(/.f64 1 (exp.f64 x))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 eps x) (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(fma.f64 -1 (/.f64 eps (/.f64 (exp.f64 x) x)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 (/.f64 eps (exp.f64 x)) x))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 x (/.f64 eps (exp.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 eps x) (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (exp.f64 x)))) (pow.f64 eps 2)))))
(+.f64 (fma.f64 -1 (/.f64 eps (/.f64 (exp.f64 x) x)) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2) (*.f64 eps eps))))
(-.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 (/.f64 eps (exp.f64 x)) x)) (*.f64 eps (*.f64 eps (/.f64 (*.f64 (*.f64 x x) -1/2) (exp.f64 x)))))
(-.f64 (fma.f64 (*.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x)) (*.f64 eps eps) (exp.f64 (neg.f64 x))) (*.f64 x (/.f64 eps (exp.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (exp.f64 x)))) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (exp.f64 x))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 eps x) (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (exp.f64 x)))) (pow.f64 eps 2))))))
(fma.f64 -1 (*.f64 (pow.f64 eps 3) (fma.f64 -1 (*.f64 x (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2)) (*.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) -1/3))) (+.f64 (fma.f64 -1 (/.f64 eps (/.f64 (exp.f64 x) x)) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2) (*.f64 eps eps)))))
(-.f64 (-.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 (/.f64 eps (exp.f64 x)) x)) (*.f64 eps (*.f64 eps (/.f64 (*.f64 (*.f64 x x) -1/2) (exp.f64 x))))) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) -1/3) (*.f64 x (/.f64 (*.f64 (*.f64 x x) -1/2) (exp.f64 x))))))
(-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x)) (*.f64 eps eps) (exp.f64 (neg.f64 x))) (*.f64 x (/.f64 eps (exp.f64 x)))) (*.f64 (pow.f64 eps 3) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) -1/3 (*.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) 1/2))))
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1))))
(-.f64 1 (fma.f64 x eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 1 eps) 2)) (*.f64 1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2)))))
(+.f64 1 (*.f64 -1 (+.f64 (*.f64 x (+.f64 eps 1)) (*.f64 (*.f64 x x) (fma.f64 -1 (pow.f64 (+.f64 eps 1) 2) (*.f64 1/2 (pow.f64 (+.f64 eps 1) 2)))))))
(-.f64 (-.f64 1 (fma.f64 x eps x)) (*.f64 x (*.f64 x (*.f64 -1/2 (pow.f64 (+.f64 eps 1) 2)))))
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(/.f64 x (/.f64 (fma.f64 eps eps (+.f64 eps 1)) (+.f64 -1 (pow.f64 eps 3))))
(*.f64 (/.f64 x (fma.f64 eps eps (+.f64 eps 1))) (+.f64 -1 (pow.f64 eps 3)))
(/.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 eps 1))
(/.f64 x (/.f64 (+.f64 eps 1) (fma.f64 eps eps -1)))
(*.f64 (/.f64 x (+.f64 eps 1)) (fma.f64 eps eps -1))
(pow.f64 (*.f64 (+.f64 eps -1) x) 1)
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)
(pow.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 3) 1/3)
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 eps -1) x)) 3)
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 eps -1) x)) 2)
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 2))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)
(log.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 eps -1) x))))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 3))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 x 3)))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps -1) 3)))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 eps -1) x)))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 eps -1) x)))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)
(exp.f64 (log.f64 (*.f64 (+.f64 eps -1) x)))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)

localize48.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (fma.f64 eps x x))
0.0b
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
0.5b
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
6.4b
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)))
Compiler

Compiled 125 to 71 computations (43.2% saved)

series22.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
eps
@0
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
3.0ms
eps
@-inf
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
2.0ms
eps
@inf
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
2.0ms
x
@0
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)

rewrite68.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
734×prod-diff_binary64
354×fma-def_binary64
312×expm1-udef_binary64
311×log1p-udef_binary64
243×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01841
139140
2489540
Stop Event
node limit
Counts
2 → 45
Calls
Call 1
Inputs
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
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 (+.f64 eps -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x))) (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 (+.f64 eps -1) x))) 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 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (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 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (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 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (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 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (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 (+.f64 eps -1) x))) 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 (+.f64 eps -1) x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x))) (-.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 (+.f64 eps -1) x))) (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 (+.f64 eps -1) x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x)))) (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 (+.f64 eps -1) x))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (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 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (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 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (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 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (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 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (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 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (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 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (fma.f64 eps x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 1/6) (*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 1/6) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))) 3) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 1/6) 3) (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) 1) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (pow.f64 (exp.f64 (fma.f64 eps x x)) 1/6)) (pow.f64 (exp.f64 (fma.f64 eps x x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 eps x x))))))

simplify81.0ms (0.7%)

Algorithm
egg-herbie
Rules
361×cancel-sign-sub-inv_binary64
317×associate-*r*_binary64
289×unswap-sqr_binary64
278×associate-*l*_binary64
275×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03794096
112383716
247793676
Stop Event
node limit
Counts
93 → 133
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))))
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1
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(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 1))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(*.f64 (exp.f64 (fma.f64 eps x x)) 1)
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))))
(*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 1/6) (*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 1/6) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))) 3) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 1/6) 3) (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 1/6) 3))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) 1) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (pow.f64 (exp.f64 (fma.f64 eps x x)) 1/6)) (pow.f64 (exp.f64 (fma.f64 eps x x)) 1/6))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps)
0
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (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 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x)))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x))))
(fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x))))) (+.f64 (+.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) 0) (/.f64 x (exp.f64 x))))
(fma.f64 eps (-.f64 (fma.f64 1/2 (/.f64 x (/.f64 (exp.f64 x) x)) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 x x) (/.f64 -1/2 (exp.f64 x))))) (+.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x))) (fma.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))) (fma.f64 -1 (*.f64 x (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x))))
(+.f64 (fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x))))) (/.f64 (exp.f64 (neg.f64 x)) eps)) (-.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 -1/6 (/.f64 (exp.f64 x) (pow.f64 x 3))) (*.f64 x (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)))))))) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (/.f64 x (exp.f64 x)))))
(+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/2 (/.f64 x (/.f64 (exp.f64 x) x)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (fma.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) -1/6 (*.f64 x (fma.f64 1/2 (/.f64 x (/.f64 (exp.f64 x) x)) (*.f64 x (*.f64 (+.f64 x 1) (/.f64 -1 (exp.f64 x))))))))) (exp.f64 (neg.f64 x))))) (fma.f64 eps (-.f64 (fma.f64 1/2 (/.f64 x (/.f64 (exp.f64 x) x)) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 x x) (/.f64 -1/2 (exp.f64 x))))) (-.f64 (/.f64 x (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))))
(+.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 -1 eps))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (/.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) eps)) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps) (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (/.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) eps)) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps) (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (/.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) eps)) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps) (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps)))))) (neg.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))) eps)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) eps)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) eps)))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps)))))) (neg.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))) eps)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) eps)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) eps)))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps)))))) (neg.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))) eps)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) eps)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) 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)
(fma.f64 (-.f64 (*.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))) x 2)
(fma.f64 x (fma.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 -1 (neg.f64 eps)))) 2)
(fma.f64 x (fma.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (-.f64 -1 eps))) 2)
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 -1 (*.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 (fma.f64 (-.f64 (*.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))) x 2) (*.f64 (*.f64 x x) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 2))) (fma.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (*.f64 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))))))
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(*.f64 (pow.f64 1 1/3) (exp.f64 x))
(exp.f64 x)
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(*.f64 (pow.f64 1 1/3) (exp.f64 (fma.f64 eps x x)))
(exp.f64 (fma.f64 eps x x))
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1
(+.f64 1 (*.f64 (+.f64 (*.f64 2/3 (+.f64 1 eps)) (*.f64 1/3 (+.f64 eps 1))) x))
(+.f64 1 (*.f64 x (fma.f64 2/3 (+.f64 1 eps) (+.f64 (*.f64 1/3 eps) 1/3))))
(+.f64 1 (fma.f64 x eps x))
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(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x))))
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 3) 1/3)
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x))))
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 3)
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x))))
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 2)
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x))))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 2))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x))))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 3))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x))))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 1))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (exp.f64 (fma.f64 eps x x)) 1)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (cbrt.f64 (exp.f64 (fma.f64 x eps x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (cbrt.f64 (exp.f64 (fma.f64 x eps x))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2))) 4))
(*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 1/6) (*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 1/6) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (cbrt.f64 (exp.f64 (fma.f64 x eps x))))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))) 3) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (cbrt.f64 (exp.f64 (fma.f64 x eps x))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 1/6) 3) (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 1/6) 3))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 1/6) 6)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 1/6) 6)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 3)
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) 1) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (cbrt.f64 (exp.f64 (fma.f64 x eps x))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2))) 4))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (pow.f64 (exp.f64 (fma.f64 eps x x)) 1/6)) (pow.f64 (exp.f64 (fma.f64 eps x x)) 1/6))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2)) (cbrt.f64 (exp.f64 (fma.f64 x eps x))))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))

eval698.0ms (6.4%)

Compiler

Compiled 36180 to 23195 computations (35.9% saved)

prune318.0ms (2.9%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New95317970
Fresh448
Picked101
Done314
Total96122983
Error
0.0b
Counts
983 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
42.9b
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 1/6) 6))) 2)
42.9b
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)) 3))) 2)
42.9b
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2))) 4)))) 2)
47.5b
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
46.8b
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
0.7b
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
47.2b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
1.1b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
1.1b
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3) 1/3) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
1.1b
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) -2) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
16.5b
(/.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 (+.f64 eps 1) x))) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
12.8b
(/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x eps))) 2)
46.4b
(/.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) 0) (/.f64 x (exp.f64 x))) 2)
16.5b
(/.f64 (+.f64 (+.f64 (-.f64 2 x) 0) (/.f64 x (exp.f64 x))) 2)
0.7b
(/.f64 (+.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) 2)
16.9b
(/.f64 (+.f64 (+.f64 2 0) (/.f64 x (exp.f64 x))) 2)
17.1b
(/.f64 (+.f64 (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
1.1b
(/.f64 (+.f64 (cbrt.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3)) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
61.9b
(/.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) 2)
61.6b
(/.f64 (*.f64 (neg.f64 eps) x) 2)
16.5b
(/.f64 2 2)
46.7b
(/.f64 0 2)
Compiler

Compiled 859 to 657 computations (23.5% saved)

localize33.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 62 to 22 computations (64.5% saved)

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize19.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 41 to 24 computations (41.5% saved)

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 90 to 64 computations (28.9% saved)

series17.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
8.0ms
eps
@inf
(-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))))
1.0ms
x
@0
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
1.0ms
eps
@0
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))
1.0ms
eps
@0
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
0.0ms
x
@0
(-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))))

rewrite82.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
743×prod-diff_binary64
482×fma-def_binary64
215×expm1-udef_binary64
215×log1p-udef_binary64
196×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01455
131141
2459241
Stop Event
node limit
Counts
4 → 237
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(*.f64 x (-.f64 1 eps))
(-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (cbrt.f64 (exp.f64 (*.f64 2 (*.f64 x (-.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 2 (*.f64 x (-.f64 1 eps))))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 1 eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (neg.f64 (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 x (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (*.f64 x (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))) (cbrt.f64 (*.f64 x (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps)))) (sqrt.f64 (*.f64 x (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (*.f64 2 (*.f64 x (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))))
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simplify121.0ms (1.1%)

Algorithm
egg-herbie
Rules
466×fma-neg_binary64
362×fma-def_binary64
286×associate-*r*_binary64
286×exp-prod_binary64
239×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05556018
114595141
252455127
Stop Event
node limit
Counts
333 → 385
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
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(/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x))) 2) (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 x eps x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) (pow.f64 (exp.f64 (fma.f64 x eps x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 x eps x))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x))) 2)) (neg.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))))
(pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x))) 1)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))) 3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x))) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (exp.f64 (exp.f64 (fma.f64 x eps x)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 x eps x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 x eps x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (exp.f64 (exp.f64 (fma.f64 x eps x)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 x eps x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 x eps x))))))
(log.f64 (*.f64 (exp.f64 (exp.f64 (fma.f64 x eps x))) (exp.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 x eps x)))) (exp.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(log.f64 (*.f64 (exp.f64 (exp.f64 (fma.f64 x eps x))) (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 x eps x)))) (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x))) 3))
(hypot.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))) 1))
(fma.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))
(fma.f64 1 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 1 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2) (exp.f64 (fma.f64 x eps x))))
(fma.f64 1 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x))) (+.f64 (exp.f64 (fma.f64 x eps x)) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1 (exp.f64 (fma.f64 x eps x)))
(fma.f64 (exp.f64 (fma.f64 x eps x)) 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (exp.f64 (fma.f64 x eps x)) -1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x))) 1 (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x))) 1 (+.f64 (exp.f64 (fma.f64 x eps x)) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x))) 2) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x))) 2) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))) (+.f64 (exp.f64 (fma.f64 x eps x)) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))) 2) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))) 2) (+.f64 (exp.f64 (fma.f64 x eps x)) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))) (+.f64 (exp.f64 (fma.f64 x eps x)) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (cbrt.f64 (exp.f64 (*.f64 2 (*.f64 x (-.f64 1 eps))))) (exp.f64 (fma.f64 x eps x)))
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 2 (*.f64 x (-.f64 1 eps))))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (exp.f64 (fma.f64 x eps x)))
(fma.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2) (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2) (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x)))) (+.f64 (exp.f64 (fma.f64 x eps x)) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (exp.f64 (fma.f64 x eps x)))
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 x eps x))))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 x eps x))))) (+.f64 (exp.f64 (fma.f64 x eps x)) (exp.f64 (fma.f64 x eps x))))
(fma.f64 -1 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (exp.f64 (*.f64 x eps)) (exp.f64 x) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (+.f64 (exp.f64 (fma.f64 x eps x)) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)) (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)) (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(fma.f64 (*.f64 -1 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
Outputs
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(fma.f64 (+.f64 eps -1) x 1)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(fma.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (*.f64 x x)) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(fma.f64 (*.f64 1/2 (pow.f64 (+.f64 eps -1) 2)) (*.f64 x x) (fma.f64 (+.f64 eps -1) x 1))
(fma.f64 1/2 (pow.f64 (-.f64 x (*.f64 eps x)) 2) (fma.f64 (+.f64 eps -1) x 1))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(fma.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (*.f64 x x)) (+.f64 1 (fma.f64 (-.f64 eps 1) x (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(+.f64 (fma.f64 (*.f64 1/2 (pow.f64 (+.f64 eps -1) 2)) (*.f64 x x) (fma.f64 (+.f64 eps -1) x 1)) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 x 3))))
(+.f64 (fma.f64 1/6 (neg.f64 (pow.f64 (-.f64 x (*.f64 eps x)) 3)) (-.f64 (*.f64 eps x) x)) (fma.f64 1/2 (pow.f64 (-.f64 x (*.f64 eps x)) 2) 1))
(exp.f64 (-.f64 (*.f64 eps x) x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(exp.f64 (-.f64 (*.f64 eps x) x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(exp.f64 (-.f64 (*.f64 eps x) x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(exp.f64 (-.f64 (*.f64 eps x) x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (-.f64 (*.f64 eps x) x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (-.f64 (*.f64 eps x) x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (-.f64 (*.f64 eps x) x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (-.f64 (*.f64 eps x) x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x)))
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 eps (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x))))
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x))))
(fma.f64 eps (/.f64 x (exp.f64 x)) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x (/.f64 x (exp.f64 x)))) (exp.f64 (neg.f64 x))))
(fma.f64 eps (/.f64 x (exp.f64 x)) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps (/.f64 eps (exp.f64 x)))) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (exp.f64 (neg.f64 x)))))
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))))
(+.f64 (fma.f64 eps (/.f64 x (exp.f64 x)) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x (/.f64 x (exp.f64 x)))) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))))
(fma.f64 eps (/.f64 x (exp.f64 x)) (fma.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x (/.f64 x (exp.f64 x))) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (pow.f64 eps 3) (exp.f64 x))) (exp.f64 (neg.f64 x)))))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (-.f64 (*.f64 eps x) x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (-.f64 (*.f64 eps x) x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (-.f64 (*.f64 eps x) x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (-.f64 (*.f64 eps x) x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
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(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 3 (exp.f64 (fma.f64 eps x x))))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (exp.f64 (fma.f64 x eps x)))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 eps x x)))
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 eps x x)))
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(+.f64 (fma.f64 -1 (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 eps x x))) (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 eps x x)))
(fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 x eps x))))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 eps x x))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 eps x x))))) (fma.f64 -1 (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 eps x x))))
(+.f64 0 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 eps x x))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 eps x x))))))
(fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 x eps x))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 x eps x))))) (+.f64 (exp.f64 (fma.f64 x eps x)) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 eps x x))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 eps x x))))) (*.f64 2 (exp.f64 (fma.f64 eps x x))))
(+.f64 (*.f64 2 (exp.f64 (fma.f64 eps x x))) (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 eps x x))) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (fma.f64 eps x x))))))
(fma.f64 -1 (exp.f64 (fma.f64 x eps x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(+.f64 (fma.f64 -1 (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 eps x x))) (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 eps x x)))
(fma.f64 (exp.f64 (*.f64 x eps)) (exp.f64 x) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 eps x x)))
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(+.f64 (fma.f64 -1 (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 eps x x))) (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 eps x x)))
(fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2) (exp.f64 (fma.f64 x eps x))))
(+.f64 (fma.f64 -1 (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 eps x x))) (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 eps x x)))
(fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (+.f64 (exp.f64 (fma.f64 x eps x)) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (*.f64 2 (exp.f64 (fma.f64 eps x x))))
(+.f64 (*.f64 2 (exp.f64 (fma.f64 eps x x))) (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)) (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(+.f64 (fma.f64 -1 (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 eps x x))) (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 eps x x)))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)) (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(+.f64 (fma.f64 -1 (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 eps x x))) (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 eps x x)))
(fma.f64 (*.f64 -1 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(+.f64 (fma.f64 -1 (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 eps x x))) (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (exp.f64 (fma.f64 eps x x)))

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3)
0.0b
(exp.f64 (neg.f64 (fma.f64 eps x x)))
0.0b
(exp.f64 (*.f64 (-.f64 eps 1) x))
0.3b
(cbrt.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3))
Compiler

Compiled 87 to 40 computations (54% saved)

series11.0ms (0.1%)

Counts
3 → 40
Calls

18 calls:

TimeVariablePointExpression
3.0ms
eps
@0
(pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3)
1.0ms
x
@0
(pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3)
1.0ms
x
@inf
(pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3)
1.0ms
x
@-inf
(pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3)
1.0ms
eps
@inf
(pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3)

rewrite68.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
664×pow1_binary64
622×add-log-exp_binary64
621×log1p-expm1-u_binary64
621×expm1-log1p-u_binary64
606×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0930
118724
2199724
Stop Event
node limit
Counts
3 → 80
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (fma.f64 eps x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) 1/3) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (exp.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3/2) 1/3) (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (fma.f64 eps x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 eps x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 eps x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 eps x x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (fma.f64 eps x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) 1/3) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (exp.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3/2) 1/3) (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (fma.f64 eps x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 eps x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 eps x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (fma.f64 eps x x)) (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3/2) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) 3) (exp.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 3) (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) 1) (exp.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 (*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) 1) (exp.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 eps x x) 3))))))

simplify57.0ms (0.5%)

Algorithm
egg-herbie
Rules
403×associate-/l*_binary64
376×distribute-rgt-in_binary64
369×distribute-lft-in_binary64
317×associate-*l/_binary64
260×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02081923
16321765
226661490
Stop Event
node limit
Counts
120 → 117
Calls
Call 1
Inputs
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x)))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x)))))
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(pow.f64 (exp.f64 (neg.f64 x)) 3)
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) x)) (*.f64 -2 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) x)))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (+.f64 (*.f64 eps (+.f64 (*.f64 -1 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) x)) (*.f64 -2 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) x)))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 4 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 x 2))) (*.f64 1/2 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 x 2)))))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (+.f64 (*.f64 eps (+.f64 (*.f64 -1 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) x)) (*.f64 -2 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) x)))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 x 3))) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (pow.f64 x 3))) (*.f64 -1 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (pow.f64 x 3))))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 x 3))) (*.f64 -1 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 x 3))))))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 4 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 x 2))) (*.f64 1/2 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 x 2))))))))
1
(+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 1 eps)) (*.f64 -2 (+.f64 eps 1))) x) 1)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 1 eps)) (*.f64 -2 (+.f64 eps 1))) x) (+.f64 1 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 eps 1) (+.f64 1 eps))) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (*.f64 2 (pow.f64 (+.f64 eps 1) 2)))) (pow.f64 x 2))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 1 eps)) (*.f64 -2 (+.f64 eps 1))) x) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1/6 (pow.f64 (+.f64 1 eps) 3)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 eps 1) 3)) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 1 eps))) (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1/3 (pow.f64 (+.f64 eps 1) 3))))))) (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 eps 1) (+.f64 1 eps))) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (*.f64 2 (pow.f64 (+.f64 eps 1) 2)))) (pow.f64 x 2)))))
(+.f64 1 (expm1.f64 (fma.f64 eps x x)))
(-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1)
(*.f64 (exp.f64 (fma.f64 eps x x)) 1)
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) 1/3) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (pow.f64 1 1/3) (exp.f64 (fma.f64 eps x x)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3/2) 1/3) (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3/2) 1/3))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(/.f64 1 (/.f64 (exp.f64 (fma.f64 eps x x)) 1))
(/.f64 -1 (neg.f64 (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 (fma.f64 eps x x)) 1)
(pow.f64 (exp.f64 (fma.f64 eps x x)) -1)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 1) (fma.f64 eps x x))
(pow.f64 (exp.f64 -1) (fma.f64 eps x x))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(+.f64 1 (expm1.f64 (fma.f64 eps x x)))
(-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1)
(*.f64 (exp.f64 (fma.f64 eps x x)) 1)
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) 1/3) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (pow.f64 1 1/3) (exp.f64 (fma.f64 eps x x)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3/2) 1/3) (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3/2) 1/3))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(/.f64 1 (/.f64 (exp.f64 (fma.f64 eps x x)) 1))
(/.f64 -1 (neg.f64 (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 (fma.f64 eps x x)) 1)
(pow.f64 (exp.f64 (fma.f64 eps x x)) -1)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 1) (fma.f64 eps x x))
(pow.f64 (exp.f64 -1) (fma.f64 eps x x))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(-.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) 1)
(*.f64 (exp.f64 (fma.f64 eps x x)) (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1)
(*.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (exp.f64 (fma.f64 eps x x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))
(*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3/2) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) 3) (exp.f64 (fma.f64 eps x x)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 3) (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 3))
(*.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) 1) (exp.f64 (fma.f64 eps x x)))
(*.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(/.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(/.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (exp.f64 (fma.f64 eps x x)))
(/.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) 1) (exp.f64 (fma.f64 eps x x)))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 6))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(exp.f64 (*.f64 (fma.f64 eps x x) 3))
Outputs
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x)))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x eps)))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 x eps) (exp.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (exp.f64 (neg.f64 x))))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x eps)))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 x x) (/.f64 (*.f64 eps eps) (exp.f64 x))) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 x eps) (exp.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x)))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (exp.f64 (neg.f64 x)))) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x eps)))
(-.f64 (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (/.f64 (pow.f64 eps 3) (exp.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 x x) (/.f64 (*.f64 eps eps) (exp.f64 x))) (exp.f64 (neg.f64 x)))) (/.f64 (*.f64 x eps) (exp.f64 x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(+.f64 1 (*.f64 (neg.f64 (+.f64 eps 1)) x))
(-.f64 1 (fma.f64 x eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 eps 1)) (*.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps 1) 2)))))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) (fma.f64 x eps x)))
(+.f64 1 (*.f64 x (+.f64 (-.f64 -1 eps) (*.f64 (*.f64 1/2 (pow.f64 (+.f64 eps 1) 2)) x))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 eps 1)) (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps 1) 2)) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3))))))
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)))) (fma.f64 x eps x)))
(+.f64 (-.f64 1 (fma.f64 x eps x)) (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 (pow.f64 (+.f64 eps 1) 3) (*.f64 (pow.f64 x 3) -1/6))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x)))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x eps)))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 x eps) (exp.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (exp.f64 (neg.f64 x))))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x eps)))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 x x) (/.f64 (*.f64 eps eps) (exp.f64 x))) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 x eps) (exp.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x)))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (exp.f64 (neg.f64 x)))) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x eps)))
(-.f64 (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (/.f64 (pow.f64 eps 3) (exp.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 x x) (/.f64 (*.f64 eps eps) (exp.f64 x))) (exp.f64 (neg.f64 x)))) (/.f64 (*.f64 x eps) (exp.f64 x)))
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(+.f64 1 (*.f64 (neg.f64 (+.f64 eps 1)) x))
(-.f64 1 (fma.f64 x eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 eps 1)) (*.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps 1) 2)))))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) (fma.f64 x eps x)))
(+.f64 1 (*.f64 x (+.f64 (-.f64 -1 eps) (*.f64 (*.f64 1/2 (pow.f64 (+.f64 eps 1) 2)) x))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 eps 1)) (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps 1) 2)) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3))))))
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)))) (fma.f64 x eps x)))
(+.f64 (-.f64 1 (fma.f64 x eps x)) (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 (pow.f64 (+.f64 eps 1) 3) (*.f64 (pow.f64 x 3) -1/6))))
(pow.f64 (exp.f64 (neg.f64 x)) 3)
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (*.f64 eps (+.f64 (*.f64 -1 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) x)) (*.f64 -2 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) x)))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (*.f64 eps (*.f64 (*.f64 x (pow.f64 (exp.f64 (neg.f64 x)) 3)) -3)))
(fma.f64 eps (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (*.f64 x -3)) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(fma.f64 eps (*.f64 x (/.f64 -3 (pow.f64 (exp.f64 x) 3))) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (+.f64 (*.f64 eps (+.f64 (*.f64 -1 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) x)) (*.f64 -2 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) x)))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 4 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 x 2))) (*.f64 1/2 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 x 2)))))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (fma.f64 eps (*.f64 (*.f64 x (pow.f64 (exp.f64 (neg.f64 x)) 3)) -3) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (exp.f64 (neg.f64 x)) 3)) 9/2))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (fma.f64 eps (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (*.f64 x -3)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) 9/2)))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (*.f64 eps (+.f64 (*.f64 x (/.f64 -3 (pow.f64 (exp.f64 x) 3))) (*.f64 (*.f64 (*.f64 x x) (/.f64 9/2 (pow.f64 (exp.f64 x) 3))) eps))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (+.f64 (*.f64 eps (+.f64 (*.f64 -1 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) x)) (*.f64 -2 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) x)))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 x 3))) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (pow.f64 x 3))) (*.f64 -1 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (pow.f64 x 3))))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 x 3))) (*.f64 -1 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 x 3))))))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 4 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 x 2))) (*.f64 1/2 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 x 2))))))))
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1
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(fma.f64 x (*.f64 (+.f64 eps 1) -3) 1)
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(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(+.f64 1 (expm1.f64 (fma.f64 eps x x)))
(+.f64 1 (expm1.f64 (fma.f64 x eps x)))
(exp.f64 (fma.f64 x eps x))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(+.f64 1 (expm1.f64 (fma.f64 eps x x)))
(+.f64 1 (expm1.f64 (fma.f64 x eps x)))
(exp.f64 (fma.f64 x eps x))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(+.f64 1 (expm1.f64 (fma.f64 eps x x)))
(+.f64 1 (expm1.f64 (fma.f64 x eps x)))
(exp.f64 (fma.f64 x eps x))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(+.f64 1 (expm1.f64 (fma.f64 eps x x)))
(+.f64 1 (expm1.f64 (fma.f64 x eps x)))
(exp.f64 (fma.f64 x eps x))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(+.f64 1 (expm1.f64 (fma.f64 eps x x)))
(+.f64 1 (expm1.f64 (fma.f64 x eps x)))
(exp.f64 (fma.f64 x eps x))
(-.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) 1)
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1))
(+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x eps x))))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(*.f64 (exp.f64 (fma.f64 eps x x)) (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1))
(+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x eps x))))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1)
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1))
(+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x eps x))))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(*.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1))
(+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x eps x))))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (exp.f64 (fma.f64 eps x x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1))
(+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x eps x))))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1))
(+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x eps x))))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1))
(+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x eps x))))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3/2) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3/2))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1))
(+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x eps x))))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) 3) (exp.f64 (fma.f64 eps x x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1))
(+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x eps x))))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 3) (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 3))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1))
(+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x eps x))))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(*.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) 1) (exp.f64 (fma.f64 eps x x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1))
(+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x eps x))))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(*.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1))
(+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x eps x))))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(*.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1))
(+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x eps x))))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(/.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(exp.f64 (neg.f64 (*.f64 3 (fma.f64 x eps x))))
(exp.f64 (*.f64 (fma.f64 x eps x) -3))
(/.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (exp.f64 (fma.f64 eps x x)))
(+.f64 1 (expm1.f64 (fma.f64 eps x x)))
(+.f64 1 (expm1.f64 (fma.f64 x eps x)))
(exp.f64 (fma.f64 x eps x))
(/.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) 1) (exp.f64 (fma.f64 eps x x)))
(+.f64 1 (expm1.f64 (fma.f64 eps x x)))
(+.f64 1 (expm1.f64 (fma.f64 x eps x)))
(exp.f64 (fma.f64 x eps x))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 6))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1))
(+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x eps x))))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1))
(+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x eps x))))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 3))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1))
(+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x eps x))))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1))
(+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x eps x))))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1))
(+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x eps x))))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))
(exp.f64 (*.f64 (fma.f64 eps x x) 3))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1))
(+.f64 1 (expm1.f64 (*.f64 3 (fma.f64 x eps x))))
(pow.f64 (exp.f64 3) (fma.f64 x eps x))

eval303.0ms (2.8%)

Compiler

Compiled 20644 to 11203 computations (45.7% saved)

prune256.0ms (2.3%)

Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New79110801
Fresh41216
Picked101
Done325
Total79924823
Error
0.0b
Counts
823 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
42.9b
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 1/6) 6))) 2)
42.9b
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)) 3))) 2)
42.9b
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2))) 4)))) 2)
47.5b
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
0.7b
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
47.2b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
16.7b
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
1.1b
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3) 1/3) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
1.1b
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) -2) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
46.4b
(/.f64 (+.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x))) 2)
16.5b
(/.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 (+.f64 eps 1) x))) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
12.8b
(/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x eps))) 2)
16.5b
(/.f64 (+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))) 2)
0.7b
(/.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x))) (/.f64 x (exp.f64 x))) 2)
16.7b
(/.f64 (+.f64 (+.f64 (-.f64 2 x) 0) (-.f64 x (*.f64 x x))) 2)
2.5b
(/.f64 (+.f64 (+.f64 (-.f64 2 x) 0) x) 2)
17.1b
(/.f64 (+.f64 (+.f64 1 (*.f64 (neg.f64 (+.f64 eps 1)) x)) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
1.1b
(/.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (exp.f64 (-.f64 (*.f64 eps x) x))) 2)
16.7b
(/.f64 (+.f64 (cbrt.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3)) 1) 2)
16.9b
(/.f64 (+.f64 2 (/.f64 x (exp.f64 x))) 2)
61.9b
(/.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) 2)
61.6b
(/.f64 (*.f64 (neg.f64 eps) x) 2)
16.5b
(/.f64 2 2)
46.7b
(/.f64 0 2)
Compiler

Compiled 860 to 646 computations (24.9% saved)

localize32.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 53 to 20 computations (62.3% saved)

series3.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 2 (exp.f64 x))
0.0ms
x
@-inf
(/.f64 2 (exp.f64 x))
0.0ms
x
@inf
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
0.0ms
x
@-inf
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
0.0ms
x
@0
(/.f64 2 (exp.f64 x))

rewrite61.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
625×unpow-prod-down_binary64
402×log-prod_binary64
341×fma-def_binary64
294×exp-prod_binary64
270×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0720
116217
2248717
Stop Event
node limit
Counts
2 → 151
Calls
Call 1
Inputs
(/.f64 2 (exp.f64 x))
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
Outputs
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simplify72.0ms (0.7%)

Algorithm
egg-herbie
Rules
816×times-frac_binary64
558×unswap-sqr_binary64
265×sqr-pow_binary64
181×associate-*l*_binary64
172×exp-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04132978
110772500
233022450
Stop Event
node limit
Counts
167 → 233
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (pow.f64 x 2))))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 -1 x)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(/.f64 x (exp.f64 x))
(+.f64 (*.f64 2 (/.f64 1 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 1 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 1 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (*.f64 2 (/.f64 1 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 1 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 1 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 0 (/.f64 2 (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (exp.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (exp.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (exp.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (exp.f64 x)))) 1)
(*.f64 2 (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 2 (exp.f64 x)) 1)
(*.f64 1 (/.f64 2 (exp.f64 x)))
(*.f64 (cbrt.f64 (/.f64 2 (exp.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (exp.f64 x) -2))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (exp.f64 x) -2))) (cbrt.f64 (/.f64 2 (exp.f64 x))))
(*.f64 (sqrt.f64 (/.f64 2 (exp.f64 x))) (sqrt.f64 (/.f64 2 (exp.f64 x))))
(*.f64 -2 (/.f64 1 (neg.f64 (exp.f64 x))))
(*.f64 -2 (pow.f64 (/.f64 1 (neg.f64 (exp.f64 x))) 1))
(*.f64 (exp.f64 (neg.f64 x)) 2)
(*.f64 (pow.f64 1 1/3) (/.f64 2 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 2) 3) (exp.f64 (neg.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (exp.f64 x)))) 2) 3) (cbrt.f64 (/.f64 2 (exp.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 2) 2) (exp.f64 (neg.f64 x)))
(*.f64 (pow.f64 8 1/3) (exp.f64 (neg.f64 x)))
(*.f64 (pow.f64 (*.f64 (*.f64 4 (pow.f64 (exp.f64 x) -2)) 2) 1/3) (cbrt.f64 (exp.f64 (neg.f64 x))))
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(*.f64 (pow.f64 (pow.f64 (/.f64 2 (exp.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 2 (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) 1/2)) 2) -1) (cbrt.f64 (/.f64 2 (exp.f64 x))))
(pow.f64 (/.f64 2 (exp.f64 x)) 1)
(pow.f64 (*.f64 4 (pow.f64 (exp.f64 x) -2)) 1/2)
(pow.f64 (cbrt.f64 (/.f64 2 (exp.f64 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 2 (exp.f64 x))) 2)
(pow.f64 (/.f64 8 (pow.f64 (exp.f64 x) 3)) 1/3)
(pow.f64 (*.f64 (exp.f64 x) 1/2) -1)
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 1) x))
(pow.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 1) x)))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 1) x))) (sqrt.f64 (-.f64 (log1p.f64 1) x)))
(sqrt.f64 (*.f64 4 (pow.f64 (exp.f64 x) -2)))
(log.f64 (exp.f64 (/.f64 2 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (exp.f64 x)))))
(cbrt.f64 (/.f64 8 (pow.f64 (exp.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (exp.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 2 (exp.f64 x))))
(exp.f64 (-.f64 (log1p.f64 1) x))
(exp.f64 (*.f64 (-.f64 (log1p.f64 1) x) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 1) x)) 3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 1) x)) 2))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 1) x)) 1/3))
(exp.f64 (*.f64 (-.f64 x (log1p.f64 1)) -1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 1) x) 1) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 1) x) 3) 1/3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)))) 1)
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(*.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) 1)
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(*.f64 (cbrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))) 2) (cbrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))) (sqrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))))
(*.f64 (fma.f64 2 (exp.f64 x) (*.f64 x (exp.f64 x))) (pow.f64 (exp.f64 x) -2))
(*.f64 (fma.f64 8 (pow.f64 (exp.f64 x) -3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (/.f64 2 (exp.f64 x)) (-.f64 (/.f64 2 (exp.f64 x)) (/.f64 x (exp.f64 x))) (pow.f64 (/.f64 x (exp.f64 x)) 2))))
(*.f64 (fma.f64 8 (pow.f64 (exp.f64 x) -3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (pow.f64 (/.f64 1 (fma.f64 (/.f64 2 (exp.f64 x)) (-.f64 (/.f64 2 (exp.f64 x)) (/.f64 x (exp.f64 x))) (pow.f64 (/.f64 x (exp.f64 x)) 2))) 1))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 2))
(*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (+.f64 2 x) 1))
(*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (+.f64 x 2) 1))
(*.f64 (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 4 (pow.f64 (exp.f64 x) -2))) (/.f64 1 (/.f64 (-.f64 x 2) (exp.f64 x))))
(*.f64 (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 4 (pow.f64 (exp.f64 x) -2))) (pow.f64 (/.f64 1 (/.f64 (-.f64 x 2) (exp.f64 x))) 1))
(*.f64 (pow.f64 1 1/3) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) 3)) 1/3))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)))) 2) 3) (cbrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)))) 3))
(/.f64 1 (/.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 2 (exp.f64 x) (*.f64 x (exp.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2 (exp.f64 x)) (-.f64 (/.f64 2 (exp.f64 x)) (/.f64 x (exp.f64 x))) (pow.f64 (/.f64 x (exp.f64 x)) 2)) (fma.f64 8 (pow.f64 (exp.f64 x) -3) (pow.f64 (/.f64 x (exp.f64 x)) 3))))
(/.f64 1 (/.f64 (/.f64 (-.f64 x 2) (exp.f64 x)) (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 4 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (fma.f64 2 (exp.f64 x) (*.f64 x (exp.f64 x))) (pow.f64 (exp.f64 x) 2))
(/.f64 (fma.f64 8 (pow.f64 (exp.f64 x) -3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (fma.f64 (/.f64 2 (exp.f64 x)) (-.f64 (/.f64 2 (exp.f64 x)) (/.f64 x (exp.f64 x))) (pow.f64 (/.f64 x (exp.f64 x)) 2)))
(/.f64 (fma.f64 8 (pow.f64 (exp.f64 x) -3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (fma.f64 4 (pow.f64 (exp.f64 x) -2) (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (/.f64 (*.f64 x 2) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 4 (pow.f64 (exp.f64 x) -2))) (/.f64 (-.f64 x 2) (exp.f64 x)))
(/.f64 (neg.f64 (fma.f64 2 (exp.f64 x) (*.f64 x (exp.f64 x)))) (neg.f64 (pow.f64 (exp.f64 x) 2)))
(/.f64 (neg.f64 (fma.f64 8 (pow.f64 (exp.f64 x) -3) (pow.f64 (/.f64 x (exp.f64 x)) 3))) (neg.f64 (fma.f64 (/.f64 2 (exp.f64 x)) (-.f64 (/.f64 2 (exp.f64 x)) (/.f64 x (exp.f64 x))) (pow.f64 (/.f64 x (exp.f64 x)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 4 (pow.f64 (exp.f64 x) -2)))) (neg.f64 (/.f64 (-.f64 x 2) (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 x) (*.f64 (*.f64 (exp.f64 x) 1/2) x)) (*.f64 (*.f64 (exp.f64 x) 1/2) (exp.f64 x)))
(/.f64 (fma.f64 -2 (exp.f64 x) (*.f64 (neg.f64 (exp.f64 x)) x)) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x)))
(/.f64 (fma.f64 2 (/.f64 (exp.f64 x) x) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) x)))
(/.f64 (+.f64 (/.f64 (exp.f64 x) x) (*.f64 (*.f64 (exp.f64 x) 1/2) 1)) (*.f64 (*.f64 (exp.f64 x) 1/2) (/.f64 (exp.f64 x) x)))
(/.f64 (fma.f64 -2 (/.f64 (exp.f64 x) x) (*.f64 (neg.f64 (exp.f64 x)) 1)) (*.f64 (neg.f64 (exp.f64 x)) (/.f64 (exp.f64 x) x)))
(/.f64 (fma.f64 2 (neg.f64 (exp.f64 x)) (*.f64 (exp.f64 x) (neg.f64 x))) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 x))))
(/.f64 (fma.f64 -1 (exp.f64 x) (*.f64 (*.f64 (exp.f64 x) 1/2) (neg.f64 x))) (*.f64 (*.f64 (exp.f64 x) 1/2) (neg.f64 (exp.f64 x))))
(/.f64 (fma.f64 -2 (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 x))) (pow.f64 (neg.f64 (exp.f64 x)) 2))
(/.f64 (+.f64 (exp.f64 x) (*.f64 (/.f64 (exp.f64 x) x) 2)) (*.f64 (/.f64 (exp.f64 x) x) (exp.f64 x)))
(/.f64 (fma.f64 (neg.f64 x) (exp.f64 x) (*.f64 (neg.f64 (exp.f64 x)) 2)) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x)))
(/.f64 (fma.f64 x (*.f64 (exp.f64 x) 1/2) (exp.f64 x)) (*.f64 (exp.f64 x) (*.f64 (exp.f64 x) 1/2)))
(/.f64 (fma.f64 (exp.f64 x) 1/2 (*.f64 (/.f64 (exp.f64 x) x) 1)) (*.f64 (/.f64 (exp.f64 x) x) (*.f64 (exp.f64 x) 1/2)))
(/.f64 (fma.f64 (neg.f64 x) (*.f64 (exp.f64 x) 1/2) (*.f64 (neg.f64 (exp.f64 x)) 1)) (*.f64 (neg.f64 (exp.f64 x)) (*.f64 (exp.f64 x) 1/2)))
(/.f64 (fma.f64 x (neg.f64 (exp.f64 x)) (*.f64 (exp.f64 x) -2)) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 x))))
(/.f64 (fma.f64 -1 (exp.f64 x) (*.f64 (/.f64 (exp.f64 x) x) -2)) (*.f64 (/.f64 (exp.f64 x) x) (neg.f64 (exp.f64 x))))
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 (exp.f64 x)) -2)) (pow.f64 (neg.f64 (exp.f64 x)) 2))
(/.f64 (-.f64 (*.f64 4 (pow.f64 (exp.f64 x) -2)) (pow.f64 (/.f64 x (exp.f64 x)) 2)) (-.f64 (/.f64 2 (exp.f64 x)) (/.f64 x (exp.f64 x))))
(/.f64 (/.f64 (fma.f64 2 (exp.f64 x) (*.f64 x (exp.f64 x))) (exp.f64 x)) (exp.f64 x))
(pow.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) 1)
(pow.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))) 2)
(pow.f64 (exp.f64 1) (+.f64 (neg.f64 x) (log.f64 (+.f64 2 x))))
(pow.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 2 (exp.f64 x) (*.f64 x (exp.f64 x)))) -1)
(pow.f64 (/.f64 (fma.f64 (/.f64 2 (exp.f64 x)) (-.f64 (/.f64 2 (exp.f64 x)) (/.f64 x (exp.f64 x))) (pow.f64 (/.f64 x (exp.f64 x)) 2)) (fma.f64 8 (pow.f64 (exp.f64 x) -3) (pow.f64 (/.f64 x (exp.f64 x)) 3))) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 x 2) (exp.f64 x)) (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 4 (pow.f64 (exp.f64 x) -2)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 x) (log.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (+.f64 (neg.f64 x) (log.f64 (+.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (neg.f64 x) (log.f64 (+.f64 2 x))))) (sqrt.f64 (+.f64 (neg.f64 x) (log.f64 (+.f64 2 x)))))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) 2))
(log.f64 (exp.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 (exp.f64 x)))) (exp.f64 (/.f64 x (exp.f64 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 2 (exp.f64 x))) (+.f64 1 (expm1.f64 (/.f64 x (exp.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 (exp.f64 x)))) (+.f64 1 (expm1.f64 (/.f64 x (exp.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (exp.f64 x)))) (exp.f64 (/.f64 2 (exp.f64 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 x (exp.f64 x))) (+.f64 1 (expm1.f64 (/.f64 2 (exp.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (exp.f64 x)))) (+.f64 1 (expm1.f64 (/.f64 2 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))))
(exp.f64 (+.f64 (neg.f64 x) (log.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (+.f64 (neg.f64 x) (log.f64 (+.f64 2 x))) 1))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (neg.f64 x) (log.f64 (+.f64 2 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (+.f64 (neg.f64 x) (log.f64 (+.f64 2 x)))) 3))
(exp.f64 (*.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (log.f64 (+.f64 2 x)))) 2))
(exp.f64 (*.f64 (*.f64 (+.f64 (neg.f64 x) (log.f64 (+.f64 2 x))) 1) 1))
(fma.f64 2 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x)))
(fma.f64 x (exp.f64 (neg.f64 x)) (/.f64 2 (exp.f64 x)))
(fma.f64 (/.f64 2 (exp.f64 x)) 1 (/.f64 x (exp.f64 x)))
(fma.f64 (/.f64 x (exp.f64 x)) 1 (/.f64 2 (exp.f64 x)))
(fma.f64 1 (/.f64 2 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(fma.f64 1 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2) (/.f64 2 (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2) (cbrt.f64 (/.f64 x (exp.f64 x))) (/.f64 2 (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (exp.f64 (neg.f64 x))) (/.f64 2 (exp.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 2 (exp.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (exp.f64 x) -2))) (/.f64 x (exp.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 (exp.f64 x) -2))) (cbrt.f64 (/.f64 2 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) (sqrt.f64 (/.f64 x (exp.f64 x))) (/.f64 2 (exp.f64 x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (exp.f64 (neg.f64 x))) (/.f64 2 (exp.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 2 (exp.f64 x))) (sqrt.f64 (/.f64 2 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(fma.f64 -2 (/.f64 1 (neg.f64 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 (exp.f64 x))) (/.f64 2 (exp.f64 x)))
(fma.f64 (exp.f64 (neg.f64 x)) 2 (/.f64 x (exp.f64 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (/.f64 2 (exp.f64 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (/.f64 x (cbrt.f64 (exp.f64 x))) (/.f64 2 (exp.f64 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 x (exp.f64 x))) (/.f64 2 (exp.f64 x)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))) (/.f64 2 (exp.f64 x)))
(fma.f64 (pow.f64 (exp.f64 x) -1/2) (/.f64 x (sqrt.f64 (exp.f64 x))) (/.f64 2 (exp.f64 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (exp.f64 x))) (/.f64 2 (exp.f64 x)))
Outputs
2
(+.f64 2 (*.f64 -2 x))
(fma.f64 -2 x 2)
(+.f64 2 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 2 (fma.f64 -2 x (*.f64 x x)))
(+.f64 2 (*.f64 x (+.f64 -2 x)))
(+.f64 2 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (pow.f64 x 2))))
(+.f64 2 (fma.f64 -2 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 x x))))
(+.f64 2 (fma.f64 -2 x (fma.f64 x x (*.f64 -1/3 (pow.f64 x 3)))))
(+.f64 (fma.f64 -2 x 2) (fma.f64 x x (*.f64 -1/3 (pow.f64 x 3))))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 -1 x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (neg.f64 x)))
(-.f64 (fma.f64 (pow.f64 x 3) 1/6 2) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 -1 x (*.f64 -1/12 (pow.f64 x 4)))))
(+.f64 (-.f64 (fma.f64 (pow.f64 x 3) 1/6 2) x) (*.f64 -1/12 (pow.f64 x 4)))
(+.f64 (fma.f64 -1/12 (pow.f64 x 4) (neg.f64 x)) (fma.f64 (pow.f64 x 3) 1/6 2))
(/.f64 x (exp.f64 x))
(+.f64 (*.f64 2 (/.f64 1 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 (+.f64 2 x) (exp.f64 x))
(+.f64 (*.f64 2 (/.f64 1 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 (+.f64 2 x) (exp.f64 x))
(+.f64 (*.f64 2 (/.f64 1 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 (+.f64 2 x) (exp.f64 x))
(/.f64 x (exp.f64 x))
(+.f64 (*.f64 2 (/.f64 1 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 (+.f64 2 x) (exp.f64 x))
(+.f64 (*.f64 2 (/.f64 1 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 (+.f64 2 x) (exp.f64 x))
(+.f64 (*.f64 2 (/.f64 1 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 (+.f64 2 x) (exp.f64 x))
(+.f64 0 (/.f64 2 (exp.f64 x)))
(/.f64 2 (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (exp.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (exp.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (exp.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (exp.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (exp.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (exp.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (exp.f64 x))))))
(*.f64 2 (log.f64 (fabs.f64 (exp.f64 (exp.f64 (neg.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (exp.f64 x)))) 1)
(/.f64 2 (exp.f64 x))
(*.f64 2 (exp.f64 (neg.f64 x)))
(/.f64 2 (exp.f64 x))
(*.f64 (/.f64 2 (exp.f64 x)) 1)
(/.f64 2 (exp.f64 x))
(*.f64 1 (/.f64 2 (exp.f64 x)))
(/.f64 2 (exp.f64 x))
(*.f64 (cbrt.f64 (/.f64 2 (exp.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (exp.f64 x) -2))))
(*.f64 (cbrt.f64 (/.f64 2 (exp.f64 x))) (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) 1/2) -2)))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (exp.f64 x) -2))) (cbrt.f64 (/.f64 2 (exp.f64 x))))
(*.f64 (cbrt.f64 (/.f64 2 (exp.f64 x))) (cbrt.f64 (*.f64 4 (pow.f64 (exp.f64 x) -2))))
(*.f64 (cbrt.f64 (/.f64 2 (exp.f64 x))) (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) 1/2) -2)))
(*.f64 (sqrt.f64 (/.f64 2 (exp.f64 x))) (sqrt.f64 (/.f64 2 (exp.f64 x))))
(/.f64 2 (exp.f64 x))
(*.f64 -2 (/.f64 1 (neg.f64 (exp.f64 x))))
(/.f64 2 (exp.f64 x))
(*.f64 -2 (pow.f64 (/.f64 1 (neg.f64 (exp.f64 x))) 1))
(/.f64 2 (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) 2)
(/.f64 2 (exp.f64 x))
(*.f64 (pow.f64 1 1/3) (/.f64 2 (exp.f64 x)))
(/.f64 2 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 2) 3) (exp.f64 (neg.f64 x)))
(/.f64 2 (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (exp.f64 x)))) 2) 3) (cbrt.f64 (/.f64 2 (exp.f64 x))))
(/.f64 2 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (exp.f64 x)))) 3))
(/.f64 2 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 2) 2) (exp.f64 (neg.f64 x)))
(/.f64 2 (exp.f64 x))
(*.f64 (pow.f64 8 1/3) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (cbrt.f64 8))
(/.f64 (cbrt.f64 8) (exp.f64 x))
(*.f64 (pow.f64 (*.f64 (*.f64 4 (pow.f64 (exp.f64 x) -2)) 2) 1/3) (cbrt.f64 (exp.f64 (neg.f64 x))))
(*.f64 (cbrt.f64 (*.f64 2 (*.f64 4 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (exp.f64 (neg.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) -2) 8)) (cbrt.f64 (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 2 (exp.f64 x)) (cbrt.f64 (/.f64 2 (exp.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 2 (exp.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (exp.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 2 (exp.f64 x)) (cbrt.f64 (/.f64 2 (exp.f64 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (exp.f64 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 2 (exp.f64 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (exp.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (exp.f64 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (/.f64 2 (exp.f64 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 2 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 (exp.f64 x)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 2 (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) 1/2)) 2) -1) (cbrt.f64 (/.f64 2 (exp.f64 x))))
(*.f64 (cbrt.f64 (/.f64 2 (exp.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) 1/2)) 2)))
(/.f64 (cbrt.f64 (/.f64 2 (exp.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) 1/2)) 2))
(pow.f64 (/.f64 2 (exp.f64 x)) 1)
(/.f64 2 (exp.f64 x))
(pow.f64 (*.f64 4 (pow.f64 (exp.f64 x) -2)) 1/2)
(sqrt.f64 (*.f64 4 (pow.f64 (exp.f64 x) -2)))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) 1/2) -2))
(pow.f64 (cbrt.f64 (/.f64 2 (exp.f64 x))) 3)
(/.f64 2 (exp.f64 x))
(pow.f64 (sqrt.f64 (/.f64 2 (exp.f64 x))) 2)
(/.f64 2 (exp.f64 x))
(pow.f64 (/.f64 8 (pow.f64 (exp.f64 x) 3)) 1/3)
(cbrt.f64 (/.f64 8 (pow.f64 (exp.f64 x) 3)))
(pow.f64 (*.f64 (exp.f64 x) 1/2) -1)
(/.f64 2 (exp.f64 x))
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 1) x))
(pow.f64 (E.f64) (-.f64 (log1p.f64 1) x))
(exp.f64 (-.f64 (log1p.f64 1) x))
(pow.f64 (/.f64 (*.f64 (exp.f64 x) 1/2) 1) -1)
(/.f64 2 (exp.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 1) x)))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 1) x))) (sqrt.f64 (-.f64 (log1p.f64 1) x)))
(sqrt.f64 (*.f64 4 (pow.f64 (exp.f64 x) -2)))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) 1/2) -2))
(log.f64 (exp.f64 (/.f64 2 (exp.f64 x))))
(/.f64 2 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (exp.f64 x)))))
(/.f64 2 (exp.f64 x))
(cbrt.f64 (/.f64 8 (pow.f64 (exp.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (exp.f64 x))))
(/.f64 2 (exp.f64 x))
(log1p.f64 (expm1.f64 (/.f64 2 (exp.f64 x))))
(/.f64 2 (exp.f64 x))
(exp.f64 (-.f64 (log1p.f64 1) x))
(pow.f64 (E.f64) (-.f64 (log1p.f64 1) x))
(exp.f64 (*.f64 (-.f64 (log1p.f64 1) x) 1))
(pow.f64 (E.f64) (-.f64 (log1p.f64 1) x))
(exp.f64 (-.f64 (log1p.f64 1) x))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 1) x)) 3))
(pow.f64 (E.f64) (-.f64 (log1p.f64 1) x))
(exp.f64 (-.f64 (log1p.f64 1) x))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 1) x)) 2))
(pow.f64 (E.f64) (-.f64 (log1p.f64 1) x))
(exp.f64 (-.f64 (log1p.f64 1) x))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 1) x)) 1/3))
(pow.f64 (E.f64) (-.f64 (log1p.f64 1) x))
(exp.f64 (-.f64 (log1p.f64 1) x))
(exp.f64 (*.f64 (-.f64 x (log1p.f64 1)) -1))
(pow.f64 (exp.f64 (-.f64 x (log1p.f64 1))) -1)
(exp.f64 (neg.f64 (-.f64 x (log1p.f64 1))))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 1) x) 1) 1))
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(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 (+.f64 2 x) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (/.f64 x (cbrt.f64 (exp.f64 x))) (/.f64 2 (exp.f64 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 x (exp.f64 x))) (/.f64 2 (exp.f64 x)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))) (/.f64 2 (exp.f64 x)))
(fma.f64 (pow.f64 (exp.f64 x) -1/2) (/.f64 x (sqrt.f64 (exp.f64 x))) (/.f64 2 (exp.f64 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (exp.f64 x))) (/.f64 2 (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 (+.f64 2 x) (exp.f64 x))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (*.f64 (neg.f64 eps) x) 2)
Compiler

Compiled 17 to 7 computations (58.8% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(/.f64 (*.f64 (neg.f64 eps) x) 2)
1.0ms
x
@0
(/.f64 (*.f64 (neg.f64 eps) x) 2)
1.0ms
eps
@inf
(/.f64 (*.f64 (neg.f64 eps) x) 2)
0.0ms
x
@inf
(/.f64 (*.f64 (neg.f64 eps) x) 2)
0.0ms
eps
@-inf
(/.f64 (*.f64 (neg.f64 eps) x) 2)

rewrite41.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
632×pow1_binary64
589×add-log-exp_binary64
588×log1p-expm1-u_binary64
588×expm1-log1p-u_binary64
579×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11547
219987
Stop Event
node limit
Counts
1 → 28
Calls
Call 1
Inputs
(/.f64 (*.f64 (neg.f64 eps) x) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (/.f64 2 x)) (*.f64 eps (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 1 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 eps (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 (cbrt.f64 (*.f64 eps x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 1/2))) 2) (cbrt.f64 (*.f64 eps (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 eps x)) (*.f64 (sqrt.f64 (*.f64 eps x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 eps (*.f64 x 1/2))) (sqrt.f64 (*.f64 eps (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (*.f64 x 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 eps x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 eps (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 eps x) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 x 1/2))))))))

simplify49.0ms (0.5%)

Algorithm
egg-herbie
Rules
546×fma-neg_binary64
395×fma-def_binary64
348×associate-+l+_binary64
347×associate-/l*_binary64
318×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067511
1156439
2622367
32234367
47948367
Stop Event
node limit
Counts
52 → 31
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(-.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) 1)
(-.f64 (/.f64 0 (/.f64 2 x)) (*.f64 eps (*.f64 x 1/2)))
(*.f64 eps (/.f64 1 (/.f64 2 x)))
(*.f64 eps (*.f64 x 1/2))
(*.f64 x (*.f64 eps 1/2))
(*.f64 (*.f64 eps x) 1/2)
(*.f64 (*.f64 eps x) -1/2)
(*.f64 (*.f64 eps (*.f64 x 1/2)) 1)
(*.f64 1 (*.f64 eps (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 (cbrt.f64 (*.f64 eps x)) 1/2))
(*.f64 (cbrt.f64 (*.f64 eps (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 1/2))) 2) (cbrt.f64 (*.f64 eps (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (*.f64 eps x)) (*.f64 (sqrt.f64 (*.f64 eps x)) 1/2))
(*.f64 (sqrt.f64 (*.f64 eps (*.f64 x 1/2))) (sqrt.f64 (*.f64 eps (*.f64 x 1/2))))
(*.f64 1/2 (*.f64 eps x))
(*.f64 (/.f64 eps 2) x)
(pow.f64 (*.f64 eps (*.f64 x 1/2)) 1)
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 1/2))) 3)
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 x 1/2))) 2)
(pow.f64 (/.f64 2 (*.f64 eps x)) -1)
(neg.f64 (*.f64 eps (*.f64 x 1/2)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps x) 2) 1/4))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x 1/2))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x 1/2))))
Outputs
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 eps x))
(-.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) 1)
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))
(-.f64 (/.f64 0 (/.f64 2 x)) (*.f64 eps (*.f64 x 1/2)))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 eps (/.f64 1 (/.f64 2 x)))
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))
(*.f64 eps (*.f64 x 1/2))
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 x (*.f64 eps 1/2))
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))
(*.f64 (*.f64 eps x) 1/2)
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))
(*.f64 (*.f64 eps x) -1/2)
(*.f64 -1/2 (*.f64 eps x))
(*.f64 (*.f64 eps (*.f64 x 1/2)) 1)
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))
(*.f64 1 (*.f64 eps (*.f64 x 1/2)))
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (*.f64 (cbrt.f64 (*.f64 eps x)) 1/2))
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))
(*.f64 (cbrt.f64 (*.f64 eps (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 1/2))) 2))
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 1/2))) 2) (cbrt.f64 (*.f64 eps (*.f64 x 1/2))))
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))
(*.f64 (sqrt.f64 (*.f64 eps x)) (*.f64 (sqrt.f64 (*.f64 eps x)) 1/2))
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))
(*.f64 (sqrt.f64 (*.f64 eps (*.f64 x 1/2))) (sqrt.f64 (*.f64 eps (*.f64 x 1/2))))
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))
(*.f64 1/2 (*.f64 eps x))
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))
(*.f64 (/.f64 eps 2) x)
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))
(pow.f64 (*.f64 eps (*.f64 x 1/2)) 1)
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x 1/2)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x 1/2))) 3)
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 x 1/2))) 2)
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))
(pow.f64 (/.f64 2 (*.f64 eps x)) -1)
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))
(neg.f64 (*.f64 eps (*.f64 x 1/2)))
(*.f64 -1/2 (*.f64 eps x))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps x) 2) 1/4))
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x 1/2)) 3))
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x 1/2))))
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x 1/2))))
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x 1/2))))
(+.f64 (+.f64 1 (*.f64 eps (*.f64 x 1/2))) -1)
(+.f64 (*.f64 eps (*.f64 x 1/2)) 0)
(*.f64 eps (*.f64 x 1/2))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 24 to 11 computations (54.2% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 30 to 8 computations (73.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (cbrt.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3)) 1)
0.0b
(pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3)
0.0b
(exp.f64 (neg.f64 (fma.f64 eps x x)))
0.3b
(cbrt.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3))
Compiler

Compiled 63 to 25 computations (60.3% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
eps
@0
(+.f64 (cbrt.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3)) 1)
0.0ms
x
@0
(+.f64 (cbrt.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3)) 1)
0.0ms
eps
@inf
(+.f64 (cbrt.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3)) 1)
0.0ms
eps
@-inf
(+.f64 (cbrt.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3)) 1)
0.0ms
x
@-inf
(+.f64 (cbrt.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3)) 1)

rewrite47.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
852×pow1_binary64
797×add-log-exp_binary64
795×log1p-expm1-u_binary64
795×expm1-log1p-u_binary64
779×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01112
122910
2252810
Stop Event
node limit
Counts
1 → 30
Calls
Call 1
Inputs
(+.f64 (cbrt.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (expm1.f64 (fma.f64 eps x x))) (/.f64 1 (expm1.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)) (sqrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (-.f64 1 (exp.f64 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) -1) (/.f64 1 (expm1.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (-.f64 1 (exp.f64 (fma.f64 eps x x)))) (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (expm1.f64 (fma.f64 eps x x)) (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1) (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (-.f64 1 (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1) (+.f64 1 (-.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 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) -1) (expm1.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (-.f64 1 (exp.f64 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) -1)) (neg.f64 (expm1.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (-.f64 1 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (fma.f64 eps x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 1)))))

simplify52.0ms (0.5%)

Algorithm
egg-herbie
Rules
621×associate-*l*_binary64
611×fma-neg_binary64
550×associate-*r*_binary64
530×fma-def_binary64
193×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01111006
1310902
21049803
35688801
Stop Event
node limit
Counts
54 → 69
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (exp.f64 (neg.f64 x))))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
2
(+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (expm1.f64 (fma.f64 eps x x))) (/.f64 1 (expm1.f64 (fma.f64 eps x x))))
(*.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 1))
(*.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)) (sqrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)))
(*.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (-.f64 1 (exp.f64 (fma.f64 eps x x))))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) -1) (/.f64 1 (expm1.f64 (fma.f64 eps x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (-.f64 1 (exp.f64 (fma.f64 eps x x)))) (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1)))
(/.f64 1 (/.f64 (expm1.f64 (fma.f64 eps x x)) (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1) (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (-.f64 1 (exp.f64 (fma.f64 eps x x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1) (+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (exp.f64 (fma.f64 eps x x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) -1) (expm1.f64 (fma.f64 eps x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (-.f64 1 (exp.f64 (fma.f64 eps x x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) -1)) (neg.f64 (expm1.f64 (fma.f64 eps x x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (-.f64 1 (exp.f64 (fma.f64 eps x x))))
(pow.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1) 1)
(pow.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)))
(exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(fma.f64 1 (exp.f64 (fma.f64 eps x x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 1)
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 1)
Outputs
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 1 (exp.f64 (neg.f64 x))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (neg.f64 eps) (*.f64 x (exp.f64 (neg.f64 x))) 1))
(+.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 x (/.f64 eps (exp.f64 x)))))
(+.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 x eps) (exp.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (exp.f64 (neg.f64 x)))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (+.f64 1 (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x (*.f64 x (exp.f64 (neg.f64 x)))) 1)) (*.f64 x (*.f64 (exp.f64 (neg.f64 x)) eps)))
(+.f64 1 (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 1/2 (*.f64 eps eps))) 1) (exp.f64 (neg.f64 x))) (*.f64 x (/.f64 eps (exp.f64 x)))))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 1/2 (*.f64 x (*.f64 x (*.f64 eps eps)))) (*.f64 x eps)))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (exp.f64 (neg.f64 x))))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (+.f64 1 (exp.f64 (neg.f64 x))))))
(-.f64 (fma.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3))) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x (*.f64 x (exp.f64 (neg.f64 x)))) 1))) (*.f64 x (*.f64 (exp.f64 (neg.f64 x)) eps)))
(+.f64 (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (/.f64 (pow.f64 x 3) (exp.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 1/2 (*.f64 eps eps)) 1)) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 x (/.f64 eps (exp.f64 x)))))
(+.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x (*.f64 eps (/.f64 (*.f64 x eps) (exp.f64 x)))) (exp.f64 (neg.f64 x)))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 x eps))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
2
(+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(+.f64 2 (neg.f64 (*.f64 x (+.f64 1 eps))))
(-.f64 2 (fma.f64 eps x x))
(-.f64 2 (fma.f64 x eps x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2)) (+.f64 2 (neg.f64 (*.f64 x (+.f64 1 eps)))))
(-.f64 (fma.f64 1/2 (*.f64 (fma.f64 eps x x) (fma.f64 eps x x)) 2) (fma.f64 eps x x))
(fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (-.f64 2 (fma.f64 x eps x)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)) (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2)) (+.f64 2 (neg.f64 (*.f64 x (+.f64 1 eps))))))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)) (-.f64 (fma.f64 1/2 (*.f64 (fma.f64 eps x x) (fma.f64 eps x x)) 2) (fma.f64 eps x x)))
(fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)) (-.f64 2 (fma.f64 x eps x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)) 1)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (expm1.f64 (fma.f64 eps x x))) (/.f64 1 (expm1.f64 (fma.f64 eps x x))))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(*.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 1))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(*.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1) 1)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)) 2))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)) (sqrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (-.f64 1 (exp.f64 (fma.f64 eps x x))))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (-.f64 1 (exp.f64 (fma.f64 eps x x))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (exp.f64 (fma.f64 eps x x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)) (-.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2) (expm1.f64 (fma.f64 x eps x))))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)) (-.f64 -1 (*.f64 (exp.f64 (fma.f64 x eps x)) (expm1.f64 (fma.f64 x eps x)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) -1) (/.f64 1 (expm1.f64 (fma.f64 eps x x))))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (-.f64 1 (exp.f64 (fma.f64 eps x x)))) (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (-.f64 1 (exp.f64 (fma.f64 eps x x))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (exp.f64 (fma.f64 eps x x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)) (-.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2) (expm1.f64 (fma.f64 x eps x))))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)) (-.f64 -1 (*.f64 (exp.f64 (fma.f64 x eps x)) (expm1.f64 (fma.f64 x eps x)))))
(/.f64 1 (/.f64 (expm1.f64 (fma.f64 eps x x)) (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) -1)))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1) (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (-.f64 1 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (-.f64 1 (exp.f64 (fma.f64 eps x x))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (exp.f64 (fma.f64 eps x x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)) (-.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2) (expm1.f64 (fma.f64 x eps x))))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)) (-.f64 -1 (*.f64 (exp.f64 (fma.f64 x eps x)) (expm1.f64 (fma.f64 x eps x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1) (+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (exp.f64 (fma.f64 eps x x)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (-.f64 1 (exp.f64 (fma.f64 eps x x))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (exp.f64 (fma.f64 eps x x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)) (-.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2) (expm1.f64 (fma.f64 x eps x))))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)) (-.f64 -1 (*.f64 (exp.f64 (fma.f64 x eps x)) (expm1.f64 (fma.f64 x eps x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) -1) (expm1.f64 (fma.f64 eps x x)))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (-.f64 1 (exp.f64 (fma.f64 eps x x))))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (-.f64 1 (exp.f64 (fma.f64 eps x x))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (exp.f64 (fma.f64 eps x x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)) (-.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2) (expm1.f64 (fma.f64 x eps x))))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)) (-.f64 -1 (*.f64 (exp.f64 (fma.f64 x eps x)) (expm1.f64 (fma.f64 x eps x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) -1)) (neg.f64 (expm1.f64 (fma.f64 eps x x))))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (-.f64 1 (exp.f64 (fma.f64 eps x x))))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(pow.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1) 1)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1) 3) 1/3)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)) 3)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)) 2)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1) 2))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(log.f64 (exp.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1) 3))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 (fma.f64 eps x x)) 1)))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (log1p.f64 (exp.f64 (fma.f64 x eps x))))
(fma.f64 1 (exp.f64 (fma.f64 eps x x)) 1)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 1)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 1)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 eps x x)) 0))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))

eval227.0ms (2.1%)

Compiler

Compiled 14620 to 7203 computations (50.7% saved)

prune184.0ms (1.7%)

Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New7305735
Fresh11617
Picked011
Done246
Total73326759
Error
0.0b
Counts
759 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
42.9b
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 1/6) 6))) 2)
42.9b
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)) 3))) 2)
42.9b
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2))) 4)))) 2)
0.7b
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
47.2b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
16.7b
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
1.1b
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3) 1/3) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
1.1b
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) -2) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
0.7b
(/.f64 (+.f64 (/.f64 (+.f64 2 x) (exp.f64 x)) (/.f64 x (exp.f64 x))) 2)
46.4b
(/.f64 (+.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x))) 2)
16.5b
(/.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 (+.f64 eps 1) x))) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
12.8b
(/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x eps))) 2)
16.5b
(/.f64 (+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))) 2)
16.7b
(/.f64 (+.f64 (+.f64 (-.f64 2 x) 0) (-.f64 x (*.f64 x x))) 2)
2.5b
(/.f64 (+.f64 (+.f64 (-.f64 2 x) 0) x) 2)
17.1b
(/.f64 (+.f64 (+.f64 1 (*.f64 (neg.f64 (+.f64 eps 1)) x)) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
1.1b
(/.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (exp.f64 (-.f64 (*.f64 eps x) x))) 2)
16.7b
(/.f64 (+.f64 (cbrt.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3)) 1) 2)
16.9b
(/.f64 (+.f64 2 (/.f64 x (exp.f64 x))) 2)
17.2b
(/.f64 (+.f64 2 (*.f64 x (-.f64 1 x))) 2)
17.2b
(/.f64 (+.f64 2 (neg.f64 (*.f64 x (+.f64 1 eps)))) 2)
17.0b
(/.f64 (+.f64 2 x) 2)
61.9b
(/.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) 2)
16.5b
(/.f64 2 2)
46.7b
(/.f64 0 2)
61.6b
(*.f64 (*.f64 eps x) -1/2)
Compiler

Compiled 437 to 332 computations (24% saved)

regimes91.0ms (0.8%)

Counts
49 → 1
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(*.f64 (*.f64 eps x) -1/2)
(/.f64 (+.f64 2 x) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 1 x))) 2)
(/.f64 (+.f64 (+.f64 (-.f64 2 x) 0) x) 2)
(/.f64 (+.f64 2 (neg.f64 (*.f64 x (+.f64 1 eps)))) 2)
(/.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) 2)
(/.f64 (+.f64 (+.f64 (-.f64 2 x) 0) (-.f64 x (*.f64 x x))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (+.f64 2 (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 (+.f64 2 0) (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 (+.f64 (-.f64 2 x) 0) (/.f64 x (exp.f64 x))) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (+.f64 (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
(/.f64 (+.f64 (+.f64 1 (*.f64 (neg.f64 (+.f64 eps 1)) x)) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
(/.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 (+.f64 eps 1) x))) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (+.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) 0) (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 (/.f64 (+.f64 2 x) (exp.f64 x)) (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (exp.f64 (-.f64 (*.f64 eps x) x))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x))) (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
(/.f64 (+.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) 0) (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 (fma.f64 (*.f64 -1 (-.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps))))) x 2) (*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (pow.f64 (-.f64 1 eps) 2) (+.f64 1 (/.f64 1 eps))) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1 (/.f64 1 eps))))))) 2)
(/.f64 (+.f64 (cbrt.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3)) 1) 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 (+.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) -2) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
(/.f64 (+.f64 (cbrt.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3)) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) 3) 1/3) (exp.f64 (*.f64 (-.f64 eps 1) 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 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (fma.f64 x 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)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 1/6) 6))) 2)
(/.f64 (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 (+.f64 eps -1) x)))))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)) 3))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2))) 4)))) 2)
Outputs
(/.f64 (+.f64 (/.f64 (+.f64 2 x) (exp.f64 x)) (/.f64 x (exp.f64 x))) 2)
Calls

6 calls:

24.0ms
x
24.0ms
eps
7.0ms
(-.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)))))
4.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Results
ErrorSegmentsBranch
0.7b1x
0.7b1eps
0.7b1(/.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)
0.7b1(/.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)
0.7b1(-.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)))))
0.7b1(-.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 1026 to 710 computations (30.8% saved)

regimes37.0ms (0.3%)

Counts
23 → 2
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(*.f64 (*.f64 eps x) -1/2)
(/.f64 (+.f64 2 x) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 1 x))) 2)
(/.f64 (+.f64 (+.f64 (-.f64 2 x) 0) x) 2)
(/.f64 (+.f64 2 (neg.f64 (*.f64 x (+.f64 1 eps)))) 2)
(/.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) 2)
(/.f64 (+.f64 (+.f64 (-.f64 2 x) 0) (-.f64 x (*.f64 x x))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (+.f64 2 (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 (+.f64 2 0) (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 (+.f64 (-.f64 2 x) 0) (/.f64 x (exp.f64 x))) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (+.f64 (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
(/.f64 (+.f64 (+.f64 1 (*.f64 (neg.f64 (+.f64 eps 1)) x)) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
(/.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 (+.f64 eps 1) x))) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (+.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) 0) (/.f64 x (exp.f64 x))) 2)
Outputs
(/.f64 (+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))) 2)
(/.f64 0 2)
Calls

2 calls:

19.0ms
x
11.0ms
eps
Results
ErrorSegmentsBranch
1.1b2x
2.5b1eps
Compiler

Compiled 285 to 204 computations (28.4% saved)

bsearch67.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
67.0ms
0.20818436886371278
1594218.0953444976
Results
32.0ms63×body1024valid
14.0ms43×body512valid
7.0ms10×body2048valid
7.0ms45×body256infinite
5.0ms28×body256valid
Compiler

Compiled 207 to 173 computations (16.4% saved)

regimes23.0ms (0.2%)

Counts
13 → 2
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(*.f64 (*.f64 eps x) -1/2)
(/.f64 (+.f64 2 x) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 1 x))) 2)
(/.f64 (+.f64 (+.f64 (-.f64 2 x) 0) x) 2)
(/.f64 (+.f64 2 (neg.f64 (*.f64 x (+.f64 1 eps)))) 2)
(/.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) 2)
(/.f64 (+.f64 (+.f64 (-.f64 2 x) 0) (-.f64 x (*.f64 x x))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (+.f64 2 (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 (+.f64 2 0) (/.f64 x (exp.f64 x))) 2)
Outputs
(/.f64 (+.f64 (+.f64 (-.f64 2 x) 0) (-.f64 x (*.f64 x x))) 2)
(/.f64 0 2)
Calls

2 calls:

13.0ms
x
7.0ms
eps
Results
ErrorSegmentsBranch
1.1b2x
2.5b1eps
Compiler

Compiled 124 to 94 computations (24.2% saved)

bsearch66.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
65.0ms
0.20818436886371278
1594218.0953444976
Results
31.0ms62×body1024valid
13.0ms38×body512valid
12.0ms16×body2048valid
5.0ms28×body256valid
4.0ms24×body256infinite
Compiler

Compiled 234 to 191 computations (18.4% saved)

regimes18.0ms (0.2%)

Counts
9 → 2
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(*.f64 (*.f64 eps x) -1/2)
(/.f64 (+.f64 2 x) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 1 x))) 2)
(/.f64 (+.f64 (+.f64 (-.f64 2 x) 0) x) 2)
(/.f64 (+.f64 2 (neg.f64 (*.f64 x (+.f64 1 eps)))) 2)
(/.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) 2)
Outputs
(/.f64 (+.f64 (+.f64 (-.f64 2 x) 0) x) 2)
(/.f64 0 2)
Calls

2 calls:

9.0ms
x
6.0ms
eps
Results
ErrorSegmentsBranch
1.3b2x
2.5b1eps
Compiler

Compiled 71 to 55 computations (22.5% saved)

bsearch70.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
69.0ms
0.20818436886371278
1594218.0953444976
Results
33.0ms66×body1024valid
12.0ms38×body512valid
10.0ms13×body2048valid
8.0ms52×body256infinite
5.0ms27×body256valid
Compiler

Compiled 198 to 173 computations (12.6% saved)

regimes24.0ms (0.2%)

Accuracy

Total -61.2b remaining (-4846.9%)

Threshold costs -61.2b (-4846.9%)

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

2 calls:

14.0ms
eps
8.0ms
x
Results
ErrorSegmentsBranch
1.3b2x
15.3b3eps
Compiler

Compiled 39 to 30 computations (23.1% saved)

bsearch69.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
69.0ms
0.20818436886371278
1594218.0953444976
Results
31.0ms63×body1024valid
13.0ms40×body512valid
10.0ms60×body256infinite
9.0ms12×body2048valid
5.0ms29×body256valid
Compiler

Compiled 144 to 137 computations (4.9% saved)

simplify5.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03691
15191
25991
36391
46591
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (+.f64 2 x) (exp.f64 x)) (/.f64 x (exp.f64 x))) 2)
(if (<=.f64 x 9/4) (/.f64 (+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))) 2) (/.f64 0 2))
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (+.f64 (+.f64 (-.f64 2 x) 0) (-.f64 x (*.f64 x x))) 2) (/.f64 0 2))
(if (<=.f64 x 360) (/.f64 (+.f64 (+.f64 (-.f64 2 x) 0) x) 2) (/.f64 0 2))
(if (<=.f64 x 370) (/.f64 2 2) (/.f64 0 2))
(/.f64 0 2)
Outputs
(/.f64 (+.f64 (/.f64 (+.f64 2 x) (exp.f64 x)) (/.f64 x (exp.f64 x))) 2)
(if (<=.f64 x 9/4) (/.f64 (+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))) 2) (/.f64 0 2))
(if (<=.f64 x 9/4) (/.f64 (+.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x)) 2) 0)
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (+.f64 (+.f64 (-.f64 2 x) 0) (-.f64 x (*.f64 x x))) 2) (/.f64 0 2))
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (+.f64 (-.f64 2 x) (-.f64 x (*.f64 x x))) 2) 0)
(if (<=.f64 x 360) (/.f64 (+.f64 (+.f64 (-.f64 2 x) 0) x) 2) (/.f64 0 2))
(if (<=.f64 x 360) (/.f64 (+.f64 x (-.f64 2 x)) 2) 0)
(if (<=.f64 x 370) (/.f64 2 2) (/.f64 0 2))
(if (<=.f64 x 370) 1 0)
(/.f64 0 2)
0
Compiler

Compiled 75 to 57 computations (24% saved)

soundness375.0ms (3.4%)

Algorithm
egg-herbie
Rules
816×times-frac_binary64
750×times-frac_binary64
743×fma-def_binary64
558×unswap-sqr_binary64
534×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02045
15745
215937
354137
4169737
03794096
112383716
247793676
01971283
14981168
218501015
376591015
04132978
110772500
233022450
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 1670 to 1218 computations (27.1% saved)

end40.0ms (0.4%)

Compiler

Compiled 65 to 45 computations (30.8% saved)

Profiling

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