Details

Time bar (total: 10.7s)

analyze198.0ms (1.9%)

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)

sample3.1s (29.2%)

Results
1.3s2029×body1024valid
989.0ms4929×body256valid
380.0ms1036×body512valid
225.0ms262×body2048valid
127.0ms477×body256infinite
72.0ms433×body256unsamplable
13.0ms26×body1024infinite
3.0msbody512infinite
Bogosity

preprocess46.0ms (0.4%)

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)

simplify29.0ms (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
26.9b
Counts
7 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
27.4b
(/.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)
43.9b
(/.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)
26.9b
(/.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)

localize51.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
0.0b
(*.f64 (+.f64 1 eps) (neg.f64 x))
0.0b
(*.f64 (-.f64 1 eps) (neg.f64 x))
3.4b
(-.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)

series91.0ms (0.9%)

Counts
4 → 81
Calls

24 calls:

TimeVariablePointExpression
22.0ms
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)))))
2.0ms
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
x
@0
(*.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)))))
Compiler

Compiled 8655 to 6615 computations (23.6% saved)

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
01871
140359
2574450
Stop Event
node limit
Counts
4 → 291
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)))))
(*.f64 (-.f64 1 eps) (neg.f64 x))
(*.f64 (+.f64 1 eps) (neg.f64 x))
(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 fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x eps))))))
((#(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))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))))) (#(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 1 (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 (+.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 (E.f64) (fma.f64 eps x x))))) (#(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 (pow.f64 (exp.f64 (+.f64 1 eps)) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (sqrt.f64 x)) (sqrt.f64 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 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))))))))

simplify203.0ms (1.9%)

Algorithm
egg-herbie
Rules
587×fma-neg_binary64
305×associate-*r*_binary64
267×times-frac_binary64
260×associate-*l*_binary64
251×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060812251
1156511513
2527511507
Stop Event
node limit
Counts
372 → 450
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 eps (-.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 (*.f64 -1 x) 2) (exp.f64 (*.f64 -1 x)))))) (+.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 eps (-.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 (*.f64 -1 x) 2) (exp.f64 (*.f64 -1 x)))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (*.f64 -1 x) 3) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 -1 x) 2) (exp.f64 (*.f64 -1 x)))))) (pow.f64 eps 2)) (+.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)))))
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2
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1
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(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 x (*.f64 (neg.f64 eps) x))
(+.f64 x (*.f64 x (neg.f64 eps)))
(+.f64 0 (*.f64 (-.f64 1 eps) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(-.f64 0 (*.f64 (-.f64 1 eps) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x))) 1)
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(pow.f64 (*.f64 (-.f64 1 eps) x) 1)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x)) 2)
(neg.f64 (*.f64 (-.f64 1 eps) x))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 eps) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 eps) x)) 1))
(fma.f64 1 x (*.f64 (neg.f64 eps) x))
(fma.f64 1 x (*.f64 x (neg.f64 eps)))
(fma.f64 x 1 (*.f64 (neg.f64 eps) x))
(fma.f64 x 1 (*.f64 x (neg.f64 eps)))
(fma.f64 x -1 (*.f64 (neg.f64 eps) x))
(fma.f64 x -1 (*.f64 x (neg.f64 eps)))
(fma.f64 -1 x (*.f64 (neg.f64 eps) x))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 eps) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (neg.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 (neg.f64 eps) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 x (neg.f64 eps)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 eps) x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x (neg.f64 eps)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (neg.f64 eps)))
(+.f64 x (*.f64 eps x))
(+.f64 x (*.f64 x eps))
(+.f64 0 (fma.f64 eps x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 x eps) x)
(-.f64 0 (fma.f64 eps x x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps x x))) 1)
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (fma.f64 eps (-.f64 eps 1) 1))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (-.f64 1 eps))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))
(pow.f64 (fma.f64 eps x x) 1)
(pow.f64 (pow.f64 (fma.f64 eps x x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 eps x x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 eps x x)) 2)
(neg.f64 (fma.f64 eps x x))
(sqrt.f64 (pow.f64 (fma.f64 eps x x) 2))
(log.f64 (exp.f64 (fma.f64 eps x x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps x x))))
(cbrt.f64 (pow.f64 (fma.f64 eps x x) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (fma.f64 eps x x)))
(log1p.f64 (expm1.f64 (fma.f64 eps x x)))
(exp.f64 (log.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps x x)) 1))
(fma.f64 1 x (*.f64 eps x))
(fma.f64 1 x (*.f64 x eps))
(fma.f64 eps x x)
(fma.f64 x 1 (*.f64 eps x))
(fma.f64 x 1 (*.f64 x eps))
(fma.f64 x eps x)
(fma.f64 x -1 (*.f64 eps x))
(fma.f64 x -1 (*.f64 x eps))
(fma.f64 -1 x (*.f64 eps x))
(fma.f64 -1 x (*.f64 x eps))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 eps x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 eps x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x eps))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 eps x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 eps x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 eps x))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 eps x))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x eps))
(-.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))))
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 eps (-.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 (*.f64 -1 x) 2) (exp.f64 (*.f64 -1 x)))))) (+.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 eps (*.f64 1/2 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (neg.f64 x) 2)))) (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 (fma.f64 eps (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(fma.f64 eps (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 x x) (*.f64 x 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 eps (-.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 (*.f64 -1 x) 2) (exp.f64 (*.f64 -1 x)))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (*.f64 -1 x) 3) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 -1 x) 2) (exp.f64 (*.f64 -1 x)))))) (pow.f64 eps 2)) (+.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 eps (*.f64 1/2 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (neg.f64 x) 2)))) (fma.f64 (-.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (neg.f64 x) 3)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (neg.f64 x) 2)) -1/2))) (*.f64 eps eps) (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 (fma.f64 eps (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (-.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 (*.f64 x x) -1/2)))) (*.f64 eps eps) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 (*.f64 -1 x) 2) (exp.f64 (*.f64 -1 x)))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (*.f64 -1 x) 3) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 -1 x) 2) (exp.f64 (*.f64 -1 x)))))) (pow.f64 eps 2)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 (*.f64 -1 x) 4))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 -1 x) 3) (exp.f64 (*.f64 -1 x)))))) (pow.f64 eps 3)) (exp.f64 (*.f64 -1 x)))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
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(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x eps))
(*.f64 x (-.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
(exp.f64 (fma.f64 x eps x))
(*.f64 1 (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 x eps x))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))
(exp.f64 (fma.f64 x eps x))
(*.f64 (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 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 x eps x))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(pow.f64 (exp.f64 (fma.f64 eps x x)) 1)
(exp.f64 (fma.f64 x eps x))
(pow.f64 (exp.f64 (+.f64 1 eps)) x)
(exp.f64 (fma.f64 x eps x))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (E.f64) (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)
(exp.f64 (fma.f64 x eps x))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
(exp.f64 (fma.f64 x eps x))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)
(exp.f64 (fma.f64 x eps x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) -1) x)
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(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 eps 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(exp.f64 (fma.f64 x eps x))
(log.f64 (exp.f64 (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 x eps x))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(exp.f64 (fma.f64 x eps x))
(expm1.f64 (log1p.f64 (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 x eps x))

localize67.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (neg.f64 (+.f64 1 eps)))
1.0b
(pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)
1.0b
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
3.6b
(-.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)

series240.0ms (2.2%)

Counts
4 → 65
Calls

21 calls:

TimeVariablePointExpression
35.0ms
eps
@inf
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
26.0ms
eps
@-inf
(pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)
13.0ms
eps
@-inf
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
12.0ms
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)))
9.0ms
eps
@inf
(pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x)
Compiler

Compiled 12830 to 10655 computations (17% saved)

rewrite125.0ms (1.2%)

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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((#(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 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x))) (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 (pow.f64 1 x) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 -1 eps))) x) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 -1 eps))) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x)))))) (#(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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 x (-.f64 -1 eps)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 -1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 -1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -1) (exp.f64 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 eps) (E.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (E.f64) (exp.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) 2) (cbrt.f64 (exp.f64 (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 -1 eps))) (sqrt.f64 (exp.f64 (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (-.f64 -1 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (exp.f64 (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 -1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 -1 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (-.f64 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 -1 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 -1 eps))) (sqrt.f64 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) 2))) (cbrt.f64 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 -1 eps))))))))

simplify219.0ms (2%)

Algorithm
egg-herbie
Rules
368×fma-neg_binary64
366×associate-*r*_binary64
348×fma-def_binary64
302×associate-*l*_binary64
275×sqr-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062513725
1172812500
2624411826
Stop Event
node limit
Counts
287 → 368
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 (*.f64 eps (-.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 2) (pow.f64 (E.f64) 2)))) x)))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (*.f64 -1 x) 2)) (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 2) (pow.f64 (exp.f64 -1) 2)))) x))) (exp.f64 (*.f64 -1 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 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 2) (pow.f64 (E.f64) 2)))) x)))) (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 3) (pow.f64 (E.f64) 3))) 2) x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/2 (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 2) (pow.f64 (E.f64) 2)))))))) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 2) (pow.f64 (exp.f64 -1) 2)))) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (pow.f64 (*.f64 -1 x) 3)) (*.f64 1/6 (*.f64 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 3) (pow.f64 (exp.f64 -1) 3)))) x))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (*.f64 -1 x) 2)) (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 2) (pow.f64 (exp.f64 -1) 2)))) x))) (exp.f64 (*.f64 -1 x)))))) (pow.f64 eps 2)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 2) (pow.f64 (E.f64) 2)))) x)))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (*.f64 -1 x) 2)) (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 2) (pow.f64 (exp.f64 -1) 2)))) x))) (exp.f64 (*.f64 -1 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 (-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 3) (pow.f64 (E.f64) 3))) 2) x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/2 (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 2) (pow.f64 (E.f64) 2)))))))) (exp.f64 (*.f64 -1 x))) (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 2) (pow.f64 (E.f64) 2)))) x)) 2)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 2 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 3) (pow.f64 (E.f64) 3))) 2))) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 2) (pow.f64 (E.f64) 2)))) x))) (*.f64 -1/24 (*.f64 (-.f64 (+.f64 (*.f64 12 (/.f64 (*.f64 (E.f64) (pow.f64 (*.f64 -1 (E.f64)) 2)) (pow.f64 (E.f64) 3))) (*.f64 -6 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 4) (pow.f64 (E.f64) 4)))) 6) x)))))))) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/4 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 2) (pow.f64 (exp.f64 -1) 2)))) (*.f64 (pow.f64 (*.f64 -1 x) 2) x))) (+.f64 (*.f64 -1/6 (*.f64 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 3) (pow.f64 (exp.f64 -1) 3)))) (pow.f64 x 2))) (+.f64 (*.f64 1/24 (*.f64 (-.f64 (+.f64 (*.f64 12 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 (*.f64 -1 (exp.f64 -1)) 2)) (pow.f64 (exp.f64 -1) 3))) (*.f64 -6 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 4) (pow.f64 (exp.f64 -1) 4)))) 6) x)) (+.f64 (*.f64 1/24 (pow.f64 (*.f64 -1 x) 4)) (*.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 2) (pow.f64 (exp.f64 -1) 2)))) x)) 2))))))) (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 2) (pow.f64 (exp.f64 -1) 2)))) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (pow.f64 (*.f64 -1 x) 3)) (*.f64 1/6 (*.f64 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 3) (pow.f64 (exp.f64 -1) 3)))) x)))))))) (pow.f64 eps 3)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 2) (pow.f64 (E.f64) 2)))) x)))) (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 3) (pow.f64 (E.f64) 3))) 2) x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/2 (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 2) (pow.f64 (E.f64) 2)))))))) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 2) (pow.f64 (exp.f64 -1) 2)))) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (pow.f64 (*.f64 -1 x) 3)) (*.f64 1/6 (*.f64 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 3) (pow.f64 (exp.f64 -1) 3)))) x))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (*.f64 -1 x) 2)) (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 2) (pow.f64 (exp.f64 -1) 2)))) x))) (exp.f64 (*.f64 -1 x)))))) (pow.f64 eps 2)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 2) (pow.f64 (E.f64) 2)))) x)))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (*.f64 -1 x) 2)) (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 2) (pow.f64 (exp.f64 -1) 2)))) x))) (exp.f64 (*.f64 -1 x))))) (exp.f64 (*.f64 -1 x)))))) (+.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 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 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 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (*.f64 -1 (-.f64 1 eps)) 2))) (*.f64 1/2 (*.f64 (pow.f64 (*.f64 -1 (+.f64 1 eps)) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))))
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 2) (pow.f64 (E.f64) 2)))) x))) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 2) (pow.f64 (E.f64) 2)))) x))) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 3) (pow.f64 (E.f64) 3))) 2) x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/2 (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 2) (pow.f64 (E.f64) 2)))))))) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 eps 3))) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.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)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
1
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 -1 (-.f64 1 eps)) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 -1 (-.f64 1 eps)) 2) (pow.f64 x 2))) (*.f64 1/6 (*.f64 (pow.f64 (*.f64 -1 (-.f64 1 eps)) 3) (pow.f64 x 3))))))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 2) (pow.f64 (exp.f64 -1) 2))) 1) x)) (*.f64 1/2 (pow.f64 (*.f64 -1 x) 2))) (exp.f64 (*.f64 -1 x)))) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 2) (pow.f64 (exp.f64 -1) 2))) 1) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (pow.f64 (*.f64 -1 x) 3)) (*.f64 1/6 (*.f64 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 3) (pow.f64 (exp.f64 -1) 3)))) x)))) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 eps 3))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 2) (pow.f64 (exp.f64 -1) 2))) 1) x)) (*.f64 1/2 (pow.f64 (*.f64 -1 x) 2))) (exp.f64 (*.f64 -1 x)))) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) 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 -1 (+.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 -1 (+.f64 eps 1)) 2) (pow.f64 x 2))) (*.f64 1/6 (*.f64 (pow.f64 (*.f64 -1 (+.f64 eps 1)) 3) (pow.f64 x 3))))))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (+.f64 eps 1)))
(exp.f64 (neg.f64 (+.f64 eps 1)))
(exp.f64 (neg.f64 (+.f64 eps 1)))
(exp.f64 (neg.f64 (+.f64 eps 1)))
(exp.f64 (-.f64 (*.f64 -1 eps) 1))
(exp.f64 (-.f64 (*.f64 -1 eps) 1))
(exp.f64 (-.f64 (*.f64 -1 eps) 1))
(exp.f64 (-.f64 (*.f64 -1 eps) 1))
(+.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))))
(+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (*.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))) 1))
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(+.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 (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 (*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (-.f64 1 (/.f64 1 eps))) 1 (*.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 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 2) (*.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))))) (*.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))
(+.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))))) (+.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)))))
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(+.f64 (*.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)))))
(*.f64 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))))))
(*.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)
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(*.f64 (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)))))) 2) (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)))))))
(*.f64 (sqrt.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)))))) (sqrt.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)))))))
(*.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) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 3)) (/.f64 1 (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (fma.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))))) (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2))))
(*.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) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 2)) (/.f64 1 (fma.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)))))))
(*.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 1 (/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (fma.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))))) (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2)) (-.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) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 3))))
(/.f64 1 (/.f64 (fma.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))))) (-.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) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 2))))
(/.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) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 3)) (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (fma.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))))) (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2)))
(/.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) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 2)) (fma.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))))))
(/.f64 (neg.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) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 3))) (neg.f64 (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (fma.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))))) (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2))))
(/.f64 (neg.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) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 2))) (neg.f64 (fma.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)))))))
(/.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 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (-.f64 (*.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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(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 (*.f64 eps (-.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 2) (pow.f64 (E.f64) 2)))) x)))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (*.f64 -1 x) 2)) (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 2) (pow.f64 (exp.f64 -1) 2)))) x))) (exp.f64 (*.f64 -1 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 (fma.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (*.f64 x (+.f64 1 (neg.f64 (/.f64 (pow.f64 (neg.f64 (E.f64)) 2) (pow.f64 (E.f64) 2)))))))) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 1/2 (+.f64 (*.f64 x (fma.f64 -1 (/.f64 (pow.f64 (neg.f64 (exp.f64 -1)) 2) (pow.f64 (exp.f64 -1) 2)) 1)) (pow.f64 (neg.f64 x) 2))))) (exp.f64 (neg.f64 x)))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 (-.f64 1 (/.f64 (exp.f64 2) (exp.f64 2))) (*.f64 x -1/2))) (*.f64 1/2 (fma.f64 x (-.f64 1 (/.f64 (exp.f64 -2) (exp.f64 -2))) (*.f64 x x))))))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(+.f64 (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 x 0)) (fma.f64 1/2 (*.f64 x x) (*.f64 x 0)))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 2) (pow.f64 (E.f64) 2)))) x)))) (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 3) (pow.f64 (E.f64) 3))) 2) x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/2 (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 2) (pow.f64 (E.f64) 2)))))))) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 2) (pow.f64 (exp.f64 -1) 2)))) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (pow.f64 (*.f64 -1 x) 3)) (*.f64 1/6 (*.f64 (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 3) (pow.f64 (exp.f64 -1) 3)))) x))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (*.f64 -1 x) 2)) (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 2) (pow.f64 (exp.f64 -1) 2)))) x))) (exp.f64 (*.f64 -1 x)))))) (pow.f64 eps 2)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 2) (pow.f64 (E.f64) 2)))) x)))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (*.f64 -1 x) 2)) (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (exp.f64 -1)) 2) (pow.f64 (exp.f64 -1) 2)))) x))) (exp.f64 (*.f64 -1 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 (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (*.f64 x (+.f64 1 (neg.f64 (/.f64 (pow.f64 (neg.f64 (E.f64)) 2) (pow.f64 (E.f64) 2))))))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 -1/6 (*.f64 x (fma.f64 2 (/.f64 (pow.f64 (neg.f64 (E.f64)) 3) (pow.f64 (E.f64) 3)) 2)) (fma.f64 1/6 (pow.f64 x 3) (*.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 1 (neg.f64 (/.f64 (pow.f64 (neg.f64 (E.f64)) 2) (pow.f64 (E.f64) 2))))))))) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 -1/2 (*.f64 (*.f64 x x) (fma.f64 -1 (/.f64 (pow.f64 (neg.f64 (exp.f64 -1)) 2) (pow.f64 (exp.f64 -1) 2)) 1)) (*.f64 1/6 (+.f64 (pow.f64 (neg.f64 x) 3) (*.f64 x (+.f64 2 (*.f64 2 (/.f64 (pow.f64 (neg.f64 (exp.f64 -1)) 3) (pow.f64 (exp.f64 -1) 3)))))))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 1/2 (+.f64 (*.f64 x (fma.f64 -1 (/.f64 (pow.f64 (neg.f64 (exp.f64 -1)) 2) (pow.f64 (exp.f64 -1) 2)) 1)) (pow.f64 (neg.f64 x) 2))))))) (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (*.f64 x (+.f64 1 (neg.f64 (/.f64 (pow.f64 (neg.f64 (E.f64)) 2) (pow.f64 (E.f64) 2)))))))) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 1/2 (+.f64 (*.f64 x (fma.f64 -1 (/.f64 (pow.f64 (neg.f64 (exp.f64 -1)) 2) (pow.f64 (exp.f64 -1) 2)) 1)) (pow.f64 (neg.f64 x) 2))))) (exp.f64 (neg.f64 x))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
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(+.f64 (fma.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 x 0)) (fma.f64 0 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 (*.f64 x x) 0))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (fma.f64 0 (*.f64 x x) (fma.f64 0 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 -1/2 (fma.f64 x 0 (*.f64 x x)))))) (*.f64 eps eps) (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 x 0)) (fma.f64 1/2 (*.f64 x x) (*.f64 x 0)))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (fma.f64 (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/4 (*.f64 (pow.f64 x 3) 0) (*.f64 x 0))) (+.f64 (*.f64 (*.f64 x x) 0) (*.f64 (*.f64 x x) 0))) (fma.f64 0 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 (*.f64 x x) 0)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 0 (*.f64 x x) (fma.f64 0 x (*.f64 -1/6 (pow.f64 x 3)))))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 0 (pow.f64 x 3) (fma.f64 0 (*.f64 x x) (fma.f64 0 x (fma.f64 1/24 (pow.f64 x 4) (*.f64 (*.f64 x x) 0))))))) (pow.f64 eps 3) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(+.f64 (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))))
(+.f64 (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) (pow.f64 (exp.f64 x) (-.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) 2)
(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)
(fma.f64 x (fma.f64 (+.f64 -1 (/.f64 -1 eps)) (-.f64 1 eps) (*.f64 (+.f64 eps 1) (+.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 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (*.f64 -1 (-.f64 1 eps)) 2))) (*.f64 1/2 (*.f64 (pow.f64 (*.f64 -1 (+.f64 1 eps)) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))))
(+.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 (neg.f64 (-.f64 1 eps)) 2) (+.f64 1 (/.f64 1 eps))) (*.f64 (pow.f64 (-.f64 -1 eps) 2) (+.f64 -1 (/.f64 1 eps)))))))
(fma.f64 x (fma.f64 (+.f64 -1 (/.f64 -1 eps)) (-.f64 1 eps) (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps)))) (fma.f64 (*.f64 x x) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 (neg.f64 (-.f64 1 eps)) 2) (+.f64 1 (/.f64 1 eps))) (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 -1 eps) 2)))) 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 (*.f64 x x) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 (-.f64 eps 1) 2) (+.f64 1 (/.f64 1 eps))) (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 -1 eps) 2)))) 2))
(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)))
(fma.f64 (*.f64 x (exp.f64 (neg.f64 x))) eps (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 2) (pow.f64 (E.f64) 2)))) x))) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (*.f64 x (+.f64 1 (neg.f64 (/.f64 (pow.f64 (neg.f64 (E.f64)) 2) (pow.f64 (E.f64) 2)))))))) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 x x) (*.f64 (-.f64 1 (/.f64 (exp.f64 2) (exp.f64 2))) (*.f64 x -1/2)))) (*.f64 eps eps) (fma.f64 (*.f64 x (exp.f64 (neg.f64 x))) eps (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 x (*.f64 (exp.f64 (neg.f64 x)) eps)) (*.f64 (+.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 x 0)) (*.f64 eps eps)) 1) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 2) (pow.f64 (E.f64) 2)))) x))) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 3) (pow.f64 (E.f64) 3))) 2) x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/2 (*.f64 (pow.f64 x 2) (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (*.f64 -1 (E.f64)) 2) (pow.f64 (E.f64) 2)))))))) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 eps 3))) (exp.f64 (*.f64 -1 x)))))
(fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (*.f64 x (+.f64 1 (neg.f64 (/.f64 (pow.f64 (neg.f64 (E.f64)) 2) (pow.f64 (E.f64) 2)))))))) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 (fma.f64 -1/6 (*.f64 x (fma.f64 2 (/.f64 (pow.f64 (neg.f64 (E.f64)) 3) (pow.f64 (E.f64) 3)) 2)) (fma.f64 1/6 (pow.f64 x 3) (*.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 1 (neg.f64 (/.f64 (pow.f64 (neg.f64 (E.f64)) 2) (pow.f64 (E.f64) 2))))))) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 eps 3)) (exp.f64 (neg.f64 x)))))
(fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 x x) (*.f64 (-.f64 1 (/.f64 (exp.f64 2) (exp.f64 2))) (*.f64 x -1/2)))) (*.f64 eps eps) (fma.f64 (*.f64 x (exp.f64 (neg.f64 x))) eps (fma.f64 (fma.f64 -1/6 (*.f64 x (+.f64 2 (/.f64 (*.f64 -2 (pow.f64 (E.f64) 3)) (pow.f64 (E.f64) 3)))) (fma.f64 -1/2 (*.f64 (*.f64 x x) (-.f64 1 (/.f64 (exp.f64 2) (exp.f64 2)))) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 eps 3)) (exp.f64 (neg.f64 x)))))
(+.f64 (fma.f64 (*.f64 x (exp.f64 (neg.f64 x))) eps (*.f64 (fma.f64 0 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 (*.f64 x x) 0))) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 eps 3)))) (*.f64 (+.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 x 0)) (*.f64 eps eps)) 1) (exp.f64 (neg.f64 x))))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
1
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)
(fma.f64 -1 (*.f64 x (-.f64 1 eps)) 1)
(-.f64 1 (*.f64 x (-.f64 1 eps)))
(fma.f64 (-.f64 eps 1) x 1)
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 -1 (-.f64 1 eps)) 2) (pow.f64 x 2)))))
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1
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(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (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))))))
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(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (cbrt.f64 (+.f64 1 (/.f64 1 eps)))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.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 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (cbrt.f64 (+.f64 1 (/.f64 1 eps)))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.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))) (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 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (cbrt.f64 (+.f64 1 (/.f64 1 eps)))) (fma.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)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 -1 (/.f64 1 eps))))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (cbrt.f64 (+.f64 1 (/.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))))))
(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 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (cbrt.f64 (+.f64 1 (/.f64 1 eps)))) (fma.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)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 -1 (/.f64 1 eps))))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (cbrt.f64 (+.f64 1 (/.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))))))
(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 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.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 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.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)) (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 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (fma.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)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 -1 (/.f64 1 eps))))))
(fma.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (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))))))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))) (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))))))
(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))))))
(fma.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (fma.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)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 -1 (/.f64 1 eps))))))
(fma.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (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))))))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))) (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))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)))) 1)
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(*.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(*.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)) 1)
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))) 2))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))) 2) (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(*.f64 (pow.f64 1 x) (exp.f64 (*.f64 (-.f64 1 eps) 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))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 eps))) (+.f64 x x))
(/.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(/.f64 1 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)) 1))
(exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(/.f64 -1 (neg.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (+.f64 x x)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2))
(fabs.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(log.f64 (exp.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)))))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 1 eps) x)) 3))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (-.f64 1 eps) x))))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(exp.f64 (*.f64 (-.f64 1 eps) x))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(exp.f64 (*.f64 (*.f64 (-.f64 1 eps) x) 1))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 1)
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(*.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(*.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 1)
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(*.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 x) (-.f64 -1 eps))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(*.f64 (pow.f64 1 x) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(*.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))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 -1 eps))) (+.f64 x x))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) (+.f64 x x)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) 2))
(fabs.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 3))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (*.f64 (*.f64 x (-.f64 -1 eps)) 1))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 -1 eps)))) 1)
(exp.f64 (-.f64 -1 eps))
(*.f64 1 (exp.f64 (-.f64 -1 eps)))
(exp.f64 (-.f64 -1 eps))
(*.f64 (exp.f64 (-.f64 -1 eps)) 1)
(exp.f64 (-.f64 -1 eps))
(*.f64 (exp.f64 -1) (exp.f64 (neg.f64 eps)))
(exp.f64 (-.f64 -1 eps))
(*.f64 (exp.f64 eps) (E.f64))
(*.f64 (E.f64) (exp.f64 eps))
(exp.f64 (+.f64 eps 1))
(*.f64 (E.f64) (exp.f64 eps))
(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 (-.f64 -1 eps))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) 2) (cbrt.f64 (exp.f64 (-.f64 -1 eps))))
(exp.f64 (-.f64 -1 eps))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 -1 eps))) (sqrt.f64 (exp.f64 (-.f64 -1 eps))))
(exp.f64 (-.f64 -1 eps))
(/.f64 1 (exp.f64 (-.f64 -1 eps)))
(*.f64 (E.f64) (exp.f64 eps))
(exp.f64 (+.f64 eps 1))
(/.f64 1 (/.f64 (exp.f64 (-.f64 -1 eps)) 1))
(*.f64 (E.f64) (exp.f64 eps))
(exp.f64 (+.f64 eps 1))
(/.f64 -1 (neg.f64 (exp.f64 (-.f64 -1 eps))))
(*.f64 (E.f64) (exp.f64 eps))
(exp.f64 (+.f64 eps 1))
(pow.f64 (exp.f64 (-.f64 -1 eps)) 1)
(exp.f64 (-.f64 -1 eps))
(pow.f64 (exp.f64 (-.f64 -1 eps)) -1)
(*.f64 (E.f64) (exp.f64 eps))
(exp.f64 (+.f64 eps 1))
(pow.f64 (exp.f64 -1) (-.f64 -1 eps))
(*.f64 (E.f64) (exp.f64 eps))
(exp.f64 (+.f64 eps 1))
(pow.f64 (E.f64) (-.f64 -1 eps))
(exp.f64 (-.f64 -1 eps))
(pow.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) 3) 1/3)
(exp.f64 (-.f64 -1 eps))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 eps))) 3)
(exp.f64 (-.f64 -1 eps))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 -1 eps))) 2)
(exp.f64 (-.f64 -1 eps))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 -1 eps))) (sqrt.f64 (-.f64 -1 eps)))
(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 (-.f64 -1 eps))
(log.f64 (exp.f64 (exp.f64 (-.f64 -1 eps))))
(exp.f64 (-.f64 -1 eps))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 -1 eps)))))
(exp.f64 (-.f64 -1 eps))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) 3))
(exp.f64 (-.f64 -1 eps))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 -1 eps))))
(exp.f64 (-.f64 -1 eps))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 -1 eps))))
(exp.f64 (-.f64 -1 eps))

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (fma.f64 eps x x))
0.0b
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
0.1b
(pow.f64 (exp.f64 x) (+.f64 eps -1))
4.8b
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
Compiler

Compiled 102 to 58 computations (43.1% saved)

series140.0ms (1.3%)

Counts
4 → 58
Calls

24 calls:

TimeVariablePointExpression
33.0ms
x
@-inf
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
16.0ms
x
@inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
13.0ms
x
@-inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
2.0ms
x
@0
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
2.0ms
eps
@0
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
Compiler

Compiled 10065 to 6390 computations (36.5% saved)

rewrite90.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01666
135164
2503864
Stop Event
node limit
Counts
4 → 98
Calls
Call 1
Inputs
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(exp.f64 (fma.f64 eps x x))
Outputs
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simplify70.0ms (0.7%)

Algorithm
egg-herbie
Rules
614×unswap-sqr_binary64
373×associate-/l*_binary64
329×associate-*l/_binary64
212×associate-*r*_binary64
204×sqr-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03303056
18772943
232622844
Stop Event
node limit
Counts
156 → 207
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps)
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.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) 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 1 eps) 2) (-.f64 1 (/.f64 1 eps)))))) (pow.f64 x 2))))
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 x 3) (pow.f64 (-.f64 eps 1) 3))))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(/.f64 -1 (*.f64 eps (exp.f64 x)))
(/.f64 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 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps 1) 2)))) (pow.f64 x 2))) (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))))) (/.f64 1 eps))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(exp.f64 x)
(+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 x)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 x)))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 x) (*.f64 (pow.f64 x 3) (pow.f64 eps 3)))) (+.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 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))))
(+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(+.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) 1) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1)
(*.f64 1 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (fma.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (-.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(log.f64 (*.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))))))
(log.f64 (*.f64 (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1))))) (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1))
(-.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))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(*.f64 (pow.f64 (exp.f64 x) eps) (/.f64 1 (exp.f64 x)))
(*.f64 (/.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) eps))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(*.f64 (pow.f64 1 (+.f64 eps -1)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (+.f64 eps -1)) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 eps -1))))
(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))))
(exp.f64 (*.f64 x (+.f64 eps -1)))
(exp.f64 (*.f64 (*.f64 x (+.f64 eps -1)) 1))
(-.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)))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))
(*.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(*.f64 (+.f64 -1 (/.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 (pow.f64 (cbrt.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 (hypot.f64 1 (pow.f64 eps -1/2)) 1) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (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 (pow.f64 (cbrt.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 (hypot.f64 1 (pow.f64 eps -1/2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (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 (pow.f64 (cbrt.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))
(-.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 (pow.f64 (exp.f64 x) eps) (exp.f64 x))
(pow.f64 (exp.f64 (fma.f64 eps x x)) 1)
(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)))
(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))))
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 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
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 (-.f64 (*.f64 (+.f64 -1 eps) (+.f64 1 (/.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 (+.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) (+.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 1 eps) 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 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1 (/.f64 1 eps)))) (fma.f64 -1 (*.f64 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))) (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))))) (*.f64 x x)))
(fma.f64 x (-.f64 (*.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) (fma.f64 (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1 (/.f64 1 eps))) (neg.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2))))) (*.f64 x x) 2))
(fma.f64 x (fma.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps)) (+.f64 (-.f64 -1 eps) (/.f64 (+.f64 1 eps) eps))) (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (neg.f64 (pow.f64 (+.f64 1 eps) 2)))) (*.f64 x x) 2))
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 (pow.f64 (+.f64 -1 eps) 2) (*.f64 x x)) (+.f64 1 (*.f64 x (+.f64 -1 eps))))
(fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) (fma.f64 x (+.f64 -1 eps) 1))
(fma.f64 1/2 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (*.f64 x x)) (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 x 3) (pow.f64 (-.f64 eps 1) 3))))))
(fma.f64 1/2 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (*.f64 x x)) (+.f64 1 (fma.f64 (+.f64 -1 eps) x (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 eps) 3))))))
(fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) (+.f64 1 (fma.f64 x (+.f64 -1 eps) (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 eps) 3))))))
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1
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(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (hypot.f64 1 (pow.f64 eps -1/2))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))))
(/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (/.f64 (exp.f64 (fma.f64 eps x x)) (hypot.f64 1 (pow.f64 eps -1/2))))
(*.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 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (/.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (hypot.f64 1 (pow.f64 eps -1/2))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))))
(/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (/.f64 (exp.f64 (fma.f64 eps x x)) (hypot.f64 1 (pow.f64 eps -1/2))))
(*.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 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (/.f64 (pow.f64 (cbrt.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 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x 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)))
(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)))
(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)))
(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)))
(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)))
(neg.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(/.f64 (neg.f64 (+.f64 1 (/.f64 1 eps))) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(/.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))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x 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)))
(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)))
(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)))
(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)))))
(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 (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))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
(exp.f64 (fma.f64 eps x x))
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(exp.f64 (fma.f64 eps x x))
(*.f64 (exp.f64 (fma.f64 eps x x)) 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))
(exp.f64 (fma.f64 eps x x))
(*.f64 (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 eps x 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))
(*.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 x))
(exp.f64 (fma.f64 eps x x))
(pow.f64 (exp.f64 (fma.f64 eps x x)) 1)
(exp.f64 (fma.f64 eps x x))
(pow.f64 (E.f64) (fma.f64 eps x x))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)
(exp.f64 (fma.f64 eps x x))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
(exp.f64 (fma.f64 eps x x))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)
(exp.f64 (fma.f64 eps x x))
(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)))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(exp.f64 (fma.f64 eps x x))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(exp.f64 (fma.f64 eps x x))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(exp.f64 (fma.f64 eps x x))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(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))

eval930.0ms (8.7%)

Compiler

Compiled 47893 to 32737 computations (31.6% saved)

prune343.0ms (3.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New101871025
Fresh000
Picked101
Done202
Total102171028
Error
0.0b
Counts
1028 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
42.3b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x))) 2)
44.2b
(/.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 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
44.1b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
0.6b
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
17.5b
(/.f64 2 2)
45.3b
(/.f64 0 2)
Compiler

Compiled 286 to 234 computations (18.2% saved)

localize22.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 62 to 33 computations (46.8% saved)

series23.0ms (0.2%)

Counts
1 → 12
Calls

3 calls:

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

Compiled 570 to 345 computations (39.5% saved)

rewrite40.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
597×pow1_binary64
555×log1p-expm1-u_binary64
555×expm1-log1p-u_binary64
554×add-log-exp_binary64
543×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0711
11428
218438
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (*.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 x) x) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (exp.f64 x)) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (exp.f64 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 x) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log1p.f64 x)))))))

simplify59.0ms (0.6%)

Algorithm
egg-herbie
Rules
570×fma-neg_binary64
503×fma-def_binary64
341×associate-+l+_binary64
307×associate-+r+_binary64
289×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
082481
1201428
2550388
32211363
45125363
57928363
Stop Event
node limit
Counts
36 → 59
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (exp.f64 (neg.f64 x)) x)
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) x))
(+.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(+.f64 (*.f64 (exp.f64 x) x) (exp.f64 x))
(-.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) 1)
(/.f64 (+.f64 x 1) (exp.f64 x))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))))
(/.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)))
(/.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (exp.f64 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (exp.f64 x)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (*.f64 (fma.f64 x x -1) (exp.f64 x)) (+.f64 x -1))
(/.f64 (*.f64 (exp.f64 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (*.f64 (exp.f64 x) (fma.f64 x x -1)) (+.f64 x -1))
(pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)
(pow.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(exp.f64 (+.f64 x (log1p.f64 x)))
Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3))) (fma.f64 -1/8 (pow.f64 x 4) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) (fma.f64 -1/8 (pow.f64 x 4) 1))
(*.f64 (exp.f64 (neg.f64 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) x))
(*.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(+.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(*.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(+.f64 (*.f64 (exp.f64 x) x) (exp.f64 x))
(*.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(-.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) 1)
(+.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) -1)
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(/.f64 (+.f64 x 1) (exp.f64 x))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (exp.f64 x)) (fma.f64 x x (+.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (+.f64 1 (fma.f64 x x x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (+.f64 x (fma.f64 x x 1))))
(/.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (exp.f64 x)) (fma.f64 x x (+.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (+.f64 1 (fma.f64 x x x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (+.f64 x (fma.f64 x x 1))))
(/.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (exp.f64 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (exp.f64 x)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (fma.f64 x x (+.f64 1 x)) (exp.f64 x)))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (exp.f64 x) (+.f64 1 (fma.f64 x x x))))
(/.f64 (fma.f64 (pow.f64 x 3) (exp.f64 x) (exp.f64 x)) (+.f64 x (fma.f64 x x 1)))
(/.f64 (*.f64 (fma.f64 x x -1) (exp.f64 x)) (+.f64 x -1))
(*.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(/.f64 (*.f64 (exp.f64 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (fma.f64 x x (+.f64 1 x)) (exp.f64 x)))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (exp.f64 x) (+.f64 1 (fma.f64 x x x))))
(/.f64 (fma.f64 (pow.f64 x 3) (exp.f64 x) (exp.f64 x)) (+.f64 x (fma.f64 x x 1)))
(/.f64 (*.f64 (exp.f64 x) (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)
(+.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) -1)
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3) 1/3)
(+.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) -1)
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 3)
(+.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) -1)
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)
(+.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) -1)
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2))
(+.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) -1)
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log.f64 (exp.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) -1)
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))
(+.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) -1)
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) -1)
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) -1)
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (+.f64 x (log1p.f64 x)))
(+.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) -1)
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize44.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
0.0b
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
0.0b
(*.f64 (-.f64 1 eps) (neg.f64 x))
5.8b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))
Compiler

Compiled 102 to 74 computations (27.5% saved)

series53.0ms (0.5%)

Counts
3 → 36
Calls

18 calls:

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

Compiled 7015 to 5515 computations (21.4% saved)

rewrite88.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
691×fma-def_binary64
687×log-prod_binary64
324×fma-neg_binary64
255×expm1-udef_binary64
254×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01560
134151
2452148
Stop Event
node limit
Counts
3 → 208
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) 1))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(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 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 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) (*.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) 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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 1 eps) -1) 2)) (/.f64 1 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))) (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 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simplify140.0ms (1.3%)

Algorithm
egg-herbie
Rules
533×fma-neg_binary64
443×times-frac_binary64
257×fma-def_binary64
236×associate-*r*_binary64
221×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04508889
111468400
248757562
Stop Event
node limit
Counts
244 → 374
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
2
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 2 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (*.f64 -1 (-.f64 1 eps)) 2) (pow.f64 x 2))))))
(/.f64 (exp.f64 (*.f64 -1 x)) eps)
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(+.f64 (/.f64 1 eps) 1)
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(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
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(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.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)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
1
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)
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(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
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(fma.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)))) (+.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (/.f64 1 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (/.f64 1 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (/.f64 1 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1))) (*.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) 1))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (/.f64 1 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1))) (+.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))) (cbrt.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))) (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps)))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (sqrt.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))) (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1 eps))) (hypot.f64 1 (sqrt.f64 (/.f64 -1 eps))) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) 1))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (+.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (exp.f64 (*.f64 (*.f64 2 x) (-.f64 1 eps))))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (exp.f64 (*.f64 (*.f64 2 x) (-.f64 1 eps))))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (exp.f64 (*.f64 (*.f64 2 x) (-.f64 1 eps))))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (neg.f64 (-.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (neg.f64 (-.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (neg.f64 (-.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (neg.f64 (-.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(+.f64 0 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(+.f64 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))))
(-.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 x) (-.f64 1 eps))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.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 x) (-.f64 1 eps)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 2 x) (-.f64 1 eps)))) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 2 x) (-.f64 1 eps)))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 2 x) (-.f64 1 eps)))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 2 x) (-.f64 1 eps)))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(+.f64 0 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 2 x) (-.f64 1 eps)))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 2 x) (-.f64 1 eps)))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(/.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 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 x) (-.f64 1 eps)) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 3)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.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 (exp.f64 (*.f64 (*.f64 2 x) (-.f64 1 eps))))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 1 (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x)))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x)))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
2
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2)
(fma.f64 -1 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) 2)
(-.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))))
(+.f64 2 (*.f64 (*.f64 x (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 2 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (*.f64 -1 (-.f64 1 eps)) 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 -1 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) 2) (*.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (*.f64 (pow.f64 (neg.f64 (-.f64 1 eps)) 2) (*.f64 x x))))
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(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 eps))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(/.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))
(pow.f64 (E.f64) (*.f64 x (-.f64 1 eps)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) 1/3)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 3)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps)))) (sqrt.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 2)) (cbrt.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) -1) x)
(exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(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 (exp.f64 (*.f64 (*.f64 2 x) (-.f64 1 eps))))
(sqrt.f64 (pow.f64 (exp.f64 (*.f64 x 2)) (-.f64 1 eps)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 eps)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3))
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(pow.f64 (exp.f64 x) (-.f64 1 eps))

localize63.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 eps 1) x)
0.0b
(*.f64 (-.f64 1 eps) (neg.f64 x))
0.1b
(*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
4.7b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
Compiler

Compiled 150 to 109 computations (27.3% saved)

series44.0ms (0.4%)

Counts
3 → 53
Calls

18 calls:

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

Compiled 6665 to 4760 computations (28.6% saved)

rewrite91.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01971
144463
2676763
Stop Event
node limit
Counts
3 → 156
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 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(*.f64 (+.f64 eps 1) x)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 x (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (fma.f64 eps eps (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 eps x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 eps x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 x (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) 2) (cbrt.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) (sqrt.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x (*.f64 eps x)) (fma.f64 x (+.f64 1 eps) -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 2)) (/.f64 1 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) -1)))))

simplify112.0ms (1.1%)

Algorithm
egg-herbie
Rules
657×cancel-sign-sub-inv_binary64
516×fma-neg_binary64
267×fma-def_binary64
238×distribute-rgt-in_binary64
230×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04207192
112636500
247916468
Stop Event
node limit
Counts
209 → 313
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 eps x))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (*.f64 eps x))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(*.f64 -1 (*.f64 eps x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
2
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x) 2)
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x) (+.f64 2 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (*.f64 -1 (-.f64 1 eps)) 2) (pow.f64 x 2))))))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(/.f64 (+.f64 1 (*.f64 -1 x)) eps)
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))))
(-.f64 (/.f64 1 eps) 1)
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1)
(*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1)
x
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps))))
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps))) 1))
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps))) (fma.f64 (+.f64 -1 (+.f64 x (*.f64 eps x))) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps)))) (fma.f64 (+.f64 -1 (+.f64 x (*.f64 eps x))) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps)))) (fma.f64 (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps))) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1))) 2) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps)))) (*.f64 (fma.f64 (+.f64 -1 (+.f64 x (*.f64 eps x))) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1))) 1))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps)))) (+.f64 (fma.f64 (+.f64 -1 (+.f64 x (*.f64 eps x))) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1))) (fma.f64 (+.f64 -1 (+.f64 x (*.f64 eps x))) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)))))
(+.f64 (fma.f64 (+.f64 -1 (+.f64 x (*.f64 eps x))) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1))) (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps)))))
(+.f64 (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps))) (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 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps)))))
(*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps)))) 1)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps))))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps))))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps))))))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) 2)) (/.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)))))
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(fma.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (neg.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) (fma.f64 (+.f64 -1 (+.f64 x (*.f64 eps x))) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1))))))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps))))) (fma.f64 (+.f64 -1 (+.f64 x (*.f64 eps x))) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1))))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 1 (/.f64 1 eps))) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 1 (/.f64 1 eps))) (neg.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) (fma.f64 (+.f64 -1 (+.f64 x (*.f64 eps x))) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 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)) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 1 (/.f64 1 eps))))
(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) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) (fma.f64 (+.f64 -1 (+.f64 x (*.f64 eps x))) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 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)) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.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)) (neg.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) (fma.f64 (+.f64 -1 (+.f64 x (*.f64 eps x))) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 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))) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.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))) (neg.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) (fma.f64 (+.f64 -1 (+.f64 x (*.f64 eps x))) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 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)) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.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)) (neg.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) (fma.f64 (+.f64 -1 (+.f64 x (*.f64 eps x))) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1))))))
(+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x)))))
(+.f64 -1 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x)))))
(+.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))
(+.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))) 1))
(+.f64 (+.f64 -1 (+.f64 x (*.f64 eps x))) (*.f64 (/.f64 1 eps) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)))
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))) (+.f64 (/.f64 1 eps) -1))
(+.f64 (*.f64 (/.f64 1 eps) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) (+.f64 -1 (+.f64 x (*.f64 eps x))))
(+.f64 (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (/.f64 1 eps)) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) -1))
(+.f64 (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) -1) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (/.f64 1 eps)))
(-.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)))) 1)
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 3))) (*.f64 (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 x (*.f64 eps x)) (fma.f64 x (+.f64 1 eps) -1)))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 3))) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (+.f64 x (*.f64 eps x)) (fma.f64 x (+.f64 1 eps) -1)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 2))) (*.f64 (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps)) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 2))) (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 3)) (+.f64 -1 (pow.f64 eps -3))) (*.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 eps x)) (fma.f64 x (+.f64 1 eps) -1))) (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 2)) (+.f64 -1 (pow.f64 eps -3))) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 3)) (+.f64 (pow.f64 eps -2) -1)) (*.f64 (+.f64 1 (*.f64 (+.f64 x (*.f64 eps x)) (fma.f64 x (+.f64 1 eps) -1))) (+.f64 1 (/.f64 1 eps))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 2)) (+.f64 (pow.f64 eps -2) -1)) (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (+.f64 1 (/.f64 1 eps))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 3)) (+.f64 (/.f64 1 eps) -1)) (+.f64 1 (*.f64 (+.f64 x (*.f64 eps x)) (fma.f64 x (+.f64 1 eps) -1))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 2)) (+.f64 (/.f64 1 eps) -1)) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1))
(/.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 3))) (+.f64 1 (*.f64 (+.f64 x (*.f64 eps x)) (fma.f64 x (+.f64 1 eps) -1))))
(/.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 2))) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1))
(/.f64 (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (+.f64 -1 (pow.f64 eps -3))) (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps)))
(/.f64 (*.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) (+.f64 (pow.f64 eps -2) -1)) (+.f64 1 (/.f64 1 eps)))
(pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1))) 2)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) (+.f64 (/.f64 1 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1))))
(exp.f64 (+.f64 (log1p.f64 (+.f64 x (*.f64 eps x))) (log.f64 (+.f64 (/.f64 1 eps) -1))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (+.f64 x (*.f64 eps x))) (log.f64 (+.f64 (/.f64 1 eps) -1))) 1))
(fma.f64 1 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))
(fma.f64 (+.f64 (/.f64 1 eps) -1) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))
(fma.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 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) (+.f64 x (*.f64 eps x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))
(fma.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))
(fma.f64 (+.f64 (pow.f64 eps -2) -1) (/.f64 1 (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))
(fma.f64 (+.f64 (pow.f64 eps -1/2) 1) (-.f64 (pow.f64 eps -1/2) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))
(+.f64 x (*.f64 eps x))
(+.f64 x (*.f64 x eps))
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 x eps) x)
(-.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) 1)
(-.f64 0 (+.f64 x (*.f64 eps x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 eps -1))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 eps -1))
(pow.f64 (+.f64 x (*.f64 eps x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 eps x))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 eps x))) 2)
(pow.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 3) 1/3)
(neg.f64 (+.f64 x (*.f64 eps x)))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 eps x)))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 eps x))))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 eps x))))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) 1))
(fma.f64 1 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) -1)
(fma.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) 2) (cbrt.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) (sqrt.f64 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x (*.f64 eps x)) (fma.f64 x (+.f64 1 eps) -1)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 2)) (/.f64 1 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) -1)
Outputs
(*.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 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (fma.f64 -1 (*.f64 eps x) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))
(-.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (*.f64 eps x)) (-.f64 (+.f64 -1 x) x))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 (fma.f64 x (neg.f64 eps) x) (-.f64 1 x)))
(*.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 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (fma.f64 -1 (*.f64 eps x) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))
(-.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (*.f64 eps x)) (-.f64 (+.f64 -1 x) x))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 (fma.f64 x (neg.f64 eps) x) (-.f64 1 x)))
2
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x) 2)
(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)
(fma.f64 x (fma.f64 (+.f64 -1 (/.f64 -1 eps)) (-.f64 1 eps) (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps)))) 2)
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(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 (-.f64 -1 eps) x 1) (+.f64 1 (/.f64 -1 eps))))
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(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (-.f64 (*.f64 (fma.f64 (-.f64 -1 eps) x 1) (+.f64 -1 (/.f64 1 eps))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (+.f64 -1 (fma.f64 eps x x)) (fma.f64 (-.f64 -1 eps) x 1)))))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x (-.f64 eps -1) -1)) (*.f64 (-.f64 -1 (/.f64 -1 eps)) (+.f64 (fma.f64 x (-.f64 eps -1) -1) (-.f64 1 (fma.f64 eps x x))))))
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(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x (neg.f64 eps) x))) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x (-.f64 eps -1) -1)) (*.f64 (-.f64 -1 (/.f64 -1 eps)) (+.f64 (fma.f64 x (-.f64 eps -1) -1) (-.f64 1 (fma.f64 eps x x))))))
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(*.f64 x (-.f64 -1 eps))
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x (*.f64 eps x)) (fma.f64 x (+.f64 1 eps) -1)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 eps x x) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 eps x x) (fma.f64 x (+.f64 eps 1) -1)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 eps x x) 3)) (/.f64 1 (fma.f64 (fma.f64 eps x x) (+.f64 -1 (fma.f64 eps x x)) 1)) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (fma.f64 eps x x) 3)) (fma.f64 (fma.f64 eps x x) (fma.f64 x (-.f64 eps -1) -1) 1)))
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 2)) (/.f64 1 (fma.f64 (+.f64 -1 (neg.f64 eps)) x 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 eps x x) 2)) (/.f64 1 (fma.f64 (-.f64 -1 eps) x 1)) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (fma.f64 eps x x) 2)) (-.f64 1 (fma.f64 eps x x))))

eval692.0ms (6.5%)

Compiler

Compiled 33684 to 24908 computations (26.1% saved)

prune261.0ms (2.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New9358943
Fresh022
Picked101
Done224
Total93812950
Error
0.0b
Counts
950 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
38.0b
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
17.5b
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (*.f64 eps x))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) 2)
17.8b
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
17.5b
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
42.3b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x))) 2)
0.6b
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
31.3b
(/.f64 (-.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
17.6b
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))) 2)
61.9b
(/.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) 2)
17.5b
(/.f64 2 2)
45.3b
(/.f64 0 2)
Compiler

Compiled 410 to 334 computations (18.5% saved)

localize25.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 68 to 37 computations (45.6% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 46 to 33 computations (28.3% saved)

series13.0ms (0.1%)

Counts
3 → 39
Calls

15 calls:

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

Compiled 1390 to 610 computations (56.1% saved)

rewrite61.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
474×log-prod_binary64
380×pow-prod-down_binary64
357×exp-prod_binary64
248×pow2_binary64
219×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0930
119830
2273426
Stop Event
node limit
Counts
3 → 129
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(*.f64 (+.f64 1 eps) x)
(-.f64 (/.f64 1 eps) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 eps) (fma.f64 eps x x)) (*.f64 -1 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 eps x x) (/.f64 1 eps)) (*.f64 (fma.f64 eps x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 eps -3) -1) (fma.f64 eps x x)) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 eps x x) (+.f64 (pow.f64 eps -3) -1)) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 eps x x) (+.f64 (pow.f64 eps -2) -1)) (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 eps) (fma.f64 eps x x) (*.f64 -1 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 eps x x) (/.f64 1 eps) (*.f64 (fma.f64 eps x x) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 eps x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (fma.f64 eps (-.f64 eps 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 eps x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 eps x x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 eps x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 eps x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 eps x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (log.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 eps x x)))) (sqrt.f64 (log.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 eps x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 eps x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 eps x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 eps x x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 eps x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 eps x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 eps x x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x eps x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 1 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 eps -3) -1) (/.f64 1 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 eps -2) -1) (/.f64 1 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 eps -1/2) 1) (-.f64 (pow.f64 eps -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))) (+.f64 (pow.f64 eps -3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps -3) -1) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps -3) -1) (+.f64 (pow.f64 eps -2) (-.f64 1 (*.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 eps -3) -1)) (neg.f64 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 eps -2) -1)) (neg.f64 (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))) (+.f64 (pow.f64 eps -3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 eps) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (neg.f64 (log.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (neg.f64 (log.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 1 eps) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 eps) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (pow.f64 eps -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps -2)) (*.f64 (/.f64 1 (cbrt.f64 eps)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (*.f64 (pow.f64 eps -1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) -2) (/.f64 1 (cbrt.f64 eps)) -1)))))

simplify75.0ms (0.7%)

Algorithm
egg-herbie
Rules
562×log-prod_binary64
257×exp-prod_binary64
235×associate-+r+_binary64
219×associate-/l*_binary64
213×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03001912
16771735
224181680
372961680
Stop Event
node limit
Counts
168 → 181
Calls
Call 1
Inputs
(/.f64 x eps)
(+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
x
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(/.f64 1 eps)
-1
-1
(+.f64 0 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))
(+.f64 (*.f64 (/.f64 1 eps) (fma.f64 eps x x)) (*.f64 -1 (fma.f64 eps x x)))
(+.f64 (*.f64 (fma.f64 eps x x) (/.f64 1 eps)) (*.f64 (fma.f64 eps x x) -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))) 1)
(/.f64 (*.f64 (+.f64 (pow.f64 eps -3) -1) (fma.f64 eps x x)) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (fma.f64 eps x x) (+.f64 (pow.f64 eps -3) -1)) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))))
(/.f64 (*.f64 (fma.f64 eps x x) (+.f64 (pow.f64 eps -2) -1)) (+.f64 1 (/.f64 1 eps)))
(pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))))
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))))
(exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) 1) 1))
(fma.f64 (/.f64 1 eps) (fma.f64 eps x x) (*.f64 -1 (fma.f64 eps x x)))
(fma.f64 (fma.f64 eps x x) (/.f64 1 eps) (*.f64 (fma.f64 eps x x) -1))
(+.f64 x (*.f64 eps x))
(+.f64 x (*.f64 x eps))
(+.f64 0 (fma.f64 eps x x))
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 x eps) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps x x))) 1)
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (fma.f64 eps (-.f64 eps 1) 1))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (-.f64 1 eps))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))
(pow.f64 (fma.f64 eps x x) 1)
(pow.f64 (E.f64) (log.f64 (fma.f64 eps x x)))
(pow.f64 (pow.f64 (fma.f64 eps x x) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 eps x x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 eps x x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 eps x x)) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (log.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 eps x x)))) (sqrt.f64 (log.f64 (fma.f64 eps x x))))
(sqrt.f64 (pow.f64 (fma.f64 eps x x) 2))
(log.f64 (exp.f64 (fma.f64 eps x x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps x x))))
(cbrt.f64 (pow.f64 (fma.f64 eps x x) 3))
(expm1.f64 (log1p.f64 (fma.f64 eps x x)))
(log1p.f64 (expm1.f64 (fma.f64 eps x x)))
(exp.f64 (log.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps x x)) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 eps x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 eps x x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 eps x x))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 eps x x)) 1) 1))
(fma.f64 1 x (*.f64 eps x))
(fma.f64 1 x (*.f64 x eps))
(fma.f64 eps x x)
(fma.f64 x 1 (*.f64 eps x))
(fma.f64 x 1 (*.f64 x eps))
(fma.f64 x eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 eps x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))
(+.f64 (/.f64 1 eps) -1)
(+.f64 0 (+.f64 (/.f64 1 eps) -1))
(+.f64 -1 (/.f64 1 eps))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))))
(*.f64 1 (+.f64 (/.f64 1 eps) -1))
(*.f64 (+.f64 (/.f64 1 eps) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))
(*.f64 (+.f64 (pow.f64 eps -3) -1) (/.f64 1 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps)))))
(*.f64 (+.f64 (pow.f64 eps -2) -1) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(*.f64 (+.f64 (pow.f64 eps -1/2) 1) (-.f64 (pow.f64 eps -1/2) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))) (+.f64 (pow.f64 eps -3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)))
(/.f64 (+.f64 (pow.f64 eps -3) -1) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))))
(/.f64 (+.f64 (pow.f64 eps -3) -1) (+.f64 (pow.f64 eps -2) (-.f64 1 (*.f64 (/.f64 1 eps) -1))))
(/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (/.f64 1 eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps -3) -1)) (neg.f64 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps -2) -1)) (neg.f64 (+.f64 1 (/.f64 1 eps))))
(pow.f64 (+.f64 (/.f64 1 eps) -1) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 1 eps) -1)))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))) (+.f64 (pow.f64 eps -3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 eps) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 eps) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1 eps) -1))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 eps) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))
(expm1.f64 (neg.f64 (log.f64 eps)))
(expm1.f64 (*.f64 (log.f64 eps) -1))
(expm1.f64 (*.f64 (neg.f64 (log.f64 eps)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 eps) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 1 eps) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)) 1) 1))
(fma.f64 1 (/.f64 1 eps) -1)
(fma.f64 (/.f64 1 eps) 1 -1)
(fma.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (pow.f64 eps -2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) -1)
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (*.f64 (/.f64 1 (cbrt.f64 eps)) 1) -1)
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) -1)
(fma.f64 (pow.f64 eps -1/2) (*.f64 (pow.f64 eps -1/2) 1) -1)
(fma.f64 -1 (/.f64 1 (neg.f64 eps)) -1)
(fma.f64 (pow.f64 (cbrt.f64 eps) -2) (/.f64 1 (cbrt.f64 eps)) -1)
Outputs
(/.f64 x eps)
(+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))
(/.f64 x eps)
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 eps (neg.f64 x)) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 eps (neg.f64 x)) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (neg.f64 x))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (neg.f64 x))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 eps (neg.f64 x)) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 eps (neg.f64 x)) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (neg.f64 x))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (neg.f64 x))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 eps (neg.f64 x)) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 eps (neg.f64 x)) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
x
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 x eps x)
(/.f64 1 eps)
-1
-1
(+.f64 0 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(+.f64 (*.f64 (/.f64 1 eps) (fma.f64 eps x x)) (*.f64 -1 (fma.f64 eps x x)))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(+.f64 (*.f64 (fma.f64 eps x x) (/.f64 1 eps)) (*.f64 (fma.f64 eps x x) -1))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 -1 (/.f64 1 eps)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 -1 (/.f64 1 eps))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 -1 (/.f64 1 eps))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))) 1)
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(/.f64 (*.f64 (+.f64 (pow.f64 eps -3) -1) (fma.f64 eps x x)) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))))
(/.f64 (*.f64 (fma.f64 x eps x) (+.f64 -1 (pow.f64 eps -3))) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (fma.f64 x eps x))
(*.f64 (/.f64 (-.f64 1 (pow.f64 eps -3)) (-.f64 (-.f64 -1 (/.f64 1 eps)) (pow.f64 eps -2))) (fma.f64 x eps x))
(/.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (fma.f64 x eps x) (+.f64 -1 (pow.f64 eps -2))) (+.f64 1 (/.f64 1 eps)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps))) (fma.f64 x eps x))
(/.f64 (*.f64 (fma.f64 eps x x) (+.f64 (pow.f64 eps -3) -1)) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))))
(/.f64 (*.f64 (fma.f64 x eps x) (+.f64 -1 (pow.f64 eps -3))) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (fma.f64 x eps x))
(*.f64 (/.f64 (-.f64 1 (pow.f64 eps -3)) (-.f64 (-.f64 -1 (/.f64 1 eps)) (pow.f64 eps -2))) (fma.f64 x eps x))
(/.f64 (*.f64 (fma.f64 eps x x) (+.f64 (pow.f64 eps -2) -1)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (fma.f64 x eps x) (+.f64 -1 (pow.f64 eps -2))) (+.f64 1 (/.f64 1 eps)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps))) (fma.f64 x eps x))
(pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 1)
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(pow.f64 (E.f64) (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 2) 1/2)
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 3) 1/3)
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) 3)
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) 2)
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x)))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 eps) (log.f64 (-.f64 (/.f64 x eps) x)))) 2)) (cbrt.f64 (+.f64 (log1p.f64 eps) (log.f64 (-.f64 (/.f64 x eps) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x)))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 eps) (log.f64 (-.f64 (/.f64 x eps) x))))) (sqrt.f64 (+.f64 (log1p.f64 eps) (log.f64 (-.f64 (/.f64 x eps) x)))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 2))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(log.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)) 3))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) 1))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))) 1/3))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))) 3))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x)))) 2))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))) 1) 1))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(fma.f64 (/.f64 1 eps) (fma.f64 eps x x) (*.f64 -1 (fma.f64 eps x x)))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(fma.f64 (fma.f64 eps x x) (/.f64 1 eps) (*.f64 (fma.f64 eps x x) -1))
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x))
(+.f64 x (*.f64 eps x))
(fma.f64 x eps x)
(+.f64 x (*.f64 x eps))
(fma.f64 x eps x)
(+.f64 0 (fma.f64 eps x x))
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 x eps) x)
(fma.f64 x eps x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps x x))) 1)
(fma.f64 x eps x)
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (fma.f64 eps (-.f64 eps 1) 1))
(/.f64 x (/.f64 (fma.f64 eps (+.f64 eps -1) 1) (+.f64 1 (pow.f64 eps 3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 eps 3)) (fma.f64 eps (+.f64 eps -1) 1)) x)
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (-.f64 1 eps))
(/.f64 x (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps))))
(*.f64 (/.f64 x (-.f64 1 eps)) (-.f64 1 (*.f64 eps eps)))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1))
(/.f64 x (/.f64 (fma.f64 eps (+.f64 eps -1) 1) (+.f64 1 (pow.f64 eps 3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 eps 3)) (fma.f64 eps (+.f64 eps -1) 1)) x)
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))
(/.f64 x (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps))))
(*.f64 (/.f64 x (-.f64 1 eps)) (-.f64 1 (*.f64 eps eps)))
(pow.f64 (fma.f64 eps x x) 1)
(fma.f64 x eps x)
(pow.f64 (E.f64) (log.f64 (fma.f64 eps x x)))
(fma.f64 x eps x)
(pow.f64 (pow.f64 (fma.f64 eps x x) 2) 1/2)
(fma.f64 x eps x)
(pow.f64 (pow.f64 (fma.f64 eps x x) 3) 1/3)
(fma.f64 x eps x)
(pow.f64 (cbrt.f64 (fma.f64 eps x x)) 3)
(fma.f64 x eps x)
(pow.f64 (sqrt.f64 (fma.f64 eps x x)) 2)
(fma.f64 x eps x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (log.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x eps x))) 2)) (cbrt.f64 (log.f64 (fma.f64 x eps x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 eps x x)))) (sqrt.f64 (log.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x eps x)))) (sqrt.f64 (log.f64 (fma.f64 x eps x))))
(sqrt.f64 (pow.f64 (fma.f64 eps x x) 2))
(fma.f64 x eps x)
(log.f64 (exp.f64 (fma.f64 eps x x)))
(fma.f64 x eps x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps x x))))
(fma.f64 x eps x)
(cbrt.f64 (pow.f64 (fma.f64 eps x x) 3))
(fma.f64 x eps x)
(expm1.f64 (log1p.f64 (fma.f64 eps x x)))
(fma.f64 x eps x)
(log1p.f64 (expm1.f64 (fma.f64 eps x x)))
(fma.f64 x eps x)
(exp.f64 (log.f64 (fma.f64 eps x x)))
(fma.f64 x eps x)
(exp.f64 (*.f64 (log.f64 (fma.f64 eps x x)) 1))
(fma.f64 x eps x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 eps x x))) 1/3))
(fma.f64 x eps x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 eps x x))) 3))
(fma.f64 x eps x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 eps x x))) 2))
(fma.f64 x eps x)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 eps x x)) 1) 1))
(fma.f64 x eps x)
(fma.f64 1 x (*.f64 eps x))
(fma.f64 x eps x)
(fma.f64 1 x (*.f64 x eps))
(fma.f64 x eps x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(fma.f64 x 1 (*.f64 eps x))
(fma.f64 x eps x)
(fma.f64 x 1 (*.f64 x eps))
(fma.f64 x eps x)
(fma.f64 x eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 eps x))
(fma.f64 x eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x eps))
(fma.f64 x eps x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 eps x))
(fma.f64 x eps x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 x eps x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps x))
(fma.f64 x eps x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 x eps x)
(+.f64 (/.f64 1 eps) -1)
(+.f64 -1 (/.f64 1 eps))
(+.f64 0 (+.f64 (/.f64 1 eps) -1))
(+.f64 -1 (/.f64 1 eps))
(+.f64 -1 (/.f64 1 eps))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 1 eps)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 1 eps))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 1 eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))))
(+.f64 -1 (/.f64 1 eps))
(*.f64 1 (+.f64 (/.f64 1 eps) -1))
(+.f64 -1 (/.f64 1 eps))
(*.f64 (+.f64 (/.f64 1 eps) -1) 1)
(+.f64 -1 (/.f64 1 eps))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))
(+.f64 -1 (/.f64 1 eps))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))
(+.f64 -1 (/.f64 1 eps))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))
(+.f64 -1 (/.f64 1 eps))
(*.f64 (+.f64 (pow.f64 eps -3) -1) (/.f64 1 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps)))))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps)))))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (-.f64 1 (pow.f64 eps -3)) (-.f64 (-.f64 -1 (/.f64 1 eps)) (pow.f64 eps -2)))
(*.f64 (+.f64 (pow.f64 eps -2) -1) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(/.f64 (+.f64 -1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 (pow.f64 eps -1/2) 1) (-.f64 (pow.f64 eps -1/2) 1))
(+.f64 -1 (/.f64 1 eps))
(/.f64 1 (/.f64 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))) (+.f64 (pow.f64 eps -3) -1)))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps)))))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (-.f64 1 (pow.f64 eps -3)) (-.f64 (-.f64 -1 (/.f64 1 eps)) (pow.f64 eps -2)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)))
(*.f64 (+.f64 -1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(/.f64 (+.f64 -1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (+.f64 (pow.f64 eps -3) -1) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps)))))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (-.f64 1 (pow.f64 eps -3)) (-.f64 (-.f64 -1 (/.f64 1 eps)) (pow.f64 eps -2)))
(/.f64 (+.f64 (pow.f64 eps -3) -1) (+.f64 (pow.f64 eps -2) (-.f64 1 (*.f64 (/.f64 1 eps) -1))))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps)))))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (-.f64 1 (pow.f64 eps -3)) (-.f64 (-.f64 -1 (/.f64 1 eps)) (pow.f64 eps -2)))
(/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 -1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(/.f64 (+.f64 -1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps -3) -1)) (neg.f64 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps)))))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps)))))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (-.f64 1 (pow.f64 eps -3)) (-.f64 (-.f64 -1 (/.f64 1 eps)) (pow.f64 eps -2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps -2) -1)) (neg.f64 (+.f64 1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(/.f64 (+.f64 -1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps)))
(pow.f64 (+.f64 (/.f64 1 eps) -1) 1)
(+.f64 -1 (/.f64 1 eps))
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 1 eps) -1)))
(+.f64 -1 (/.f64 1 eps))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) 1/2)
(+.f64 -1 (/.f64 1 eps))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3) 1/3)
(+.f64 -1 (/.f64 1 eps))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 3)
(+.f64 -1 (/.f64 1 eps))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)
(+.f64 -1 (/.f64 1 eps))
(pow.f64 (/.f64 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))) (+.f64 (pow.f64 eps -3) -1)) -1)
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps)))))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (-.f64 1 (pow.f64 eps -3)) (-.f64 (-.f64 -1 (/.f64 1 eps)) (pow.f64 eps -2)))
(pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)) -1)
(*.f64 (+.f64 -1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(/.f64 (+.f64 -1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 eps) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 eps) -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 eps)))) 2)) (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 eps)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1 eps) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 1 eps))))) (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 1 eps)))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))
(+.f64 -1 (/.f64 1 eps))
(log.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))
(+.f64 -1 (/.f64 1 eps))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 eps) -1))))
(+.f64 -1 (/.f64 1 eps))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))
(+.f64 -1 (/.f64 1 eps))
(expm1.f64 (neg.f64 (log.f64 eps)))
(expm1.f64 (*.f64 (log.f64 eps) -1))
(expm1.f64 (neg.f64 (log.f64 eps)))
(expm1.f64 (*.f64 (neg.f64 (log.f64 eps)) 1))
(expm1.f64 (neg.f64 (log.f64 eps)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 eps) -1)))
(+.f64 -1 (/.f64 1 eps))
(exp.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)))
(+.f64 -1 (/.f64 1 eps))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)) 1))
(+.f64 -1 (/.f64 1 eps))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 1 eps) -1))) 1/3))
(+.f64 -1 (/.f64 1 eps))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) 3))
(+.f64 -1 (/.f64 1 eps))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) 2))
(+.f64 -1 (/.f64 1 eps))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)) 1) 1))
(+.f64 -1 (/.f64 1 eps))
(fma.f64 1 (/.f64 1 eps) -1)
(+.f64 -1 (/.f64 1 eps))
(fma.f64 (/.f64 1 eps) 1 -1)
(+.f64 -1 (/.f64 1 eps))
(fma.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (pow.f64 eps -2)) -1)
(+.f64 -1 (/.f64 (cbrt.f64 (pow.f64 eps -2)) (cbrt.f64 eps)))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) -1)
(fma.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (pow.f64 eps -2)) -1)
(+.f64 -1 (/.f64 (cbrt.f64 (pow.f64 eps -2)) (cbrt.f64 eps)))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (*.f64 (/.f64 1 (cbrt.f64 eps)) 1) -1)
(fma.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (pow.f64 eps -2)) -1)
(+.f64 -1 (/.f64 (cbrt.f64 (pow.f64 eps -2)) (cbrt.f64 eps)))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) -1)
(+.f64 -1 (/.f64 1 eps))
(fma.f64 (pow.f64 eps -1/2) (*.f64 (pow.f64 eps -1/2) 1) -1)
(+.f64 -1 (/.f64 1 eps))
(fma.f64 -1 (/.f64 1 (neg.f64 eps)) -1)
(+.f64 -1 (/.f64 1 eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) -2) (/.f64 1 (cbrt.f64 eps)) -1)
(+.f64 -1 (pow.f64 (/.f64 1 (cbrt.f64 eps)) 3))

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 46 to 34 computations (26.1% saved)

series47.0ms (0.4%)

Counts
3 → 72
Calls

18 calls:

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

Compiled 3455 to 2465 computations (28.7% saved)

rewrite54.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
916×pow1_binary64
849×add-log-exp_binary64
849×log1p-expm1-u_binary64
849×expm1-log1p-u_binary64
833×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0934
119128
2258228
Stop Event
node limit
Counts
3 → 74
Calls
Call 1
Inputs
(*.f64 (neg.f64 (-.f64 1 eps)) x)
(+.f64 1 (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x)))
(exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 -1 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (+.f64 -1 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 -1 eps) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 -1 eps) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 -1 eps) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 -1 eps) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 -1 eps) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 -1 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 -1 eps) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 -1 eps) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 -1 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 -1 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 -1 eps) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))) (/.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 2) (-.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 3)) (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (expm1.f64 (*.f64 (+.f64 -1 eps) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 2)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (expm1.f64 (*.f64 (+.f64 -1 eps) x)))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 3)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (expm1.f64 (*.f64 (+.f64 -1 eps) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 2) (-.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 2)) (-.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 3))) (neg.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (expm1.f64 (*.f64 (+.f64 -1 eps) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 2))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 2) 1) (expm1.f64 (*.f64 (+.f64 -1 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (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) 1)))) (#(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)) 1)))) (#(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)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (*.f64 (+.f64 -1 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (E.f64) (*.f64 (+.f64 -1 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (+.f64 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 (pow.f64 (cbrt.f64 (*.f64 (+.f64 -1 eps) x)) 2)) (cbrt.f64 (*.f64 (+.f64 -1 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 -1 eps) x))) (sqrt.f64 (*.f64 (+.f64 -1 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))

simplify65.0ms (0.6%)

Algorithm
egg-herbie
Rules
450×distribute-rgt-in_binary64
433×distribute-lft-in_binary64
402×times-frac_binary64
390×associate-+l+_binary64
240×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02031904
15281852
220281790
Stop Event
node limit
Counts
146 → 156
Calls
Call 1
Inputs
(*.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 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(+.f64 1 (exp.f64 (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(+.f64 1 (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (exp.f64 (*.f64 -1 x)))))
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3)))) (+.f64 1 (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (exp.f64 (*.f64 -1 x))))))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
2
(+.f64 2 (*.f64 (-.f64 eps 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 (-.f64 eps 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps 1) 3))))))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 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 x 3) (pow.f64 (-.f64 eps 1) 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))
(+.f64 0 (*.f64 (+.f64 -1 eps) x))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))
(-.f64 0 (*.f64 (+.f64 -1 eps) x))
(-.f64 (+.f64 1 (*.f64 (+.f64 -1 eps) x)) 1)
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))
(pow.f64 (*.f64 (+.f64 -1 eps) x) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 -1 eps) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 -1 eps) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 -1 eps) x)) 2)
(neg.f64 (*.f64 (+.f64 -1 eps) x))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 -1 eps) x) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 -1 eps) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 eps) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 -1 eps) x)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 -1 eps) x)))
(exp.f64 (log.f64 (*.f64 (+.f64 -1 eps) x)))
(-.f64 (+.f64 1 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))) 1)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))) (/.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 2) (-.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))
(*.f64 1 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))
(*.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 3)) (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (expm1.f64 (*.f64 (+.f64 -1 eps) x))))))
(*.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 2)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (expm1.f64 (*.f64 (+.f64 -1 eps) x)))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 3)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (expm1.f64 (*.f64 (+.f64 -1 eps) x)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 2) (-.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 2)) (-.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 3))) (neg.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (expm1.f64 (*.f64 (+.f64 -1 eps) x))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 2))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 2) 1) (expm1.f64 (*.f64 (+.f64 -1 eps) x)))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) 1)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)))
(fma.f64 1 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 1)
(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)) 1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) 1)
(+.f64 1 (expm1.f64 (*.f64 (+.f64 -1 eps) x)))
(-.f64 (+.f64 1 (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 (E.f64) (*.f64 (+.f64 -1 eps) x))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(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 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 -1 eps) x)) 2)) (cbrt.f64 (*.f64 (+.f64 -1 eps) x)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 -1 eps) x))) (sqrt.f64 (*.f64 (+.f64 -1 eps) 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)))
(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)))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (-.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (-.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (-.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (-.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (-.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (-.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (-.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (-.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (-.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 x (-.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 x (-.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 x (-.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 x (-.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 x (-.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 x (-.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 x (-.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 x (-.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 x (-.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 x (-.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 x (-.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 x (-.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(+.f64 1 (exp.f64 (*.f64 -1 x)))
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 1 (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(+.f64 1 (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
(+.f64 1 (*.f64 (+.f64 (*.f64 x eps) 1) (exp.f64 (neg.f64 x))))
(+.f64 1 (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (exp.f64 (*.f64 -1 x)))))
(+.f64 1 (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (exp.f64 (neg.f64 x)))))
(+.f64 1 (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (neg.f64 x)))))
(+.f64 1 (fma.f64 eps (/.f64 x (exp.f64 x)) (*.f64 (+.f64 (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x x)) 1) (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3)))) (+.f64 1 (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (exp.f64 (*.f64 -1 x))))))
(fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (exp.f64 (neg.f64 x))))))
(+.f64 1 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3))) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (neg.f64 x))))))
(+.f64 1 (fma.f64 (/.f64 1/6 (exp.f64 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3)) (fma.f64 eps (/.f64 x (exp.f64 x)) (*.f64 (+.f64 (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x x)) 1) (exp.f64 (neg.f64 x))))))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
2
(+.f64 2 (*.f64 (-.f64 eps 1) x))
(+.f64 2 (*.f64 x (-.f64 eps 1)))
(fma.f64 x (+.f64 -1 eps) 2)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 (-.f64 eps 1) x)))
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 eps 1) 2)) (+.f64 2 (*.f64 x (-.f64 eps 1))))
(fma.f64 1/2 (pow.f64 (-.f64 (*.f64 x eps) x) 2) (fma.f64 x (+.f64 -1 eps) 2))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps 1) 3))))))
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 eps 1) 2)) (+.f64 2 (fma.f64 (-.f64 eps 1) x (*.f64 1/6 (pow.f64 (*.f64 x (-.f64 eps 1)) 3)))))
(+.f64 (fma.f64 1/2 (pow.f64 (-.f64 (*.f64 x eps) x) 2) (fma.f64 x (+.f64 -1 eps) 2)) (*.f64 1/6 (pow.f64 (-.f64 (*.f64 x eps) x) 3)))
(+.f64 (fma.f64 x (+.f64 -1 eps) 2) (*.f64 (pow.f64 (-.f64 (*.f64 x eps) x) 2) (+.f64 (*.f64 1/6 (-.f64 (*.f64 x eps) x)) 1/2)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(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 (*.f64 x eps) 1) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (exp.f64 (*.f64 -1 x))))
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (exp.f64 (neg.f64 x))))
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (neg.f64 x))))
(fma.f64 eps (/.f64 x (exp.f64 x)) (*.f64 (+.f64 (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x x)) 1) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (exp.f64 (*.f64 -1 x)))))
(fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3))) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (exp.f64 (neg.f64 x)))))
(fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3))) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (neg.f64 x)))))
(fma.f64 (/.f64 1/6 (exp.f64 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3)) (fma.f64 eps (/.f64 x (exp.f64 x)) (*.f64 (+.f64 (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x x)) 1) (exp.f64 (neg.f64 x)))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 1 (*.f64 x (-.f64 eps 1)))
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(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(pow.f64 (E.f64) (*.f64 (+.f64 -1 eps) x))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) 3)
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) 2)
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 3) 1/3)
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 -1 eps) x)) 2)) (cbrt.f64 (*.f64 (+.f64 -1 eps) x)))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 -1 eps) x))) (sqrt.f64 (*.f64 (+.f64 -1 eps) x)))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(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 eps 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 2))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) 3))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x)))
(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))

localize49.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
0.0b
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
0.0b
(*.f64 -1/2 (*.f64 x x))
Compiler

Compiled 78 to 43 computations (44.9% saved)

series15.0ms (0.1%)

Counts
2 → 18
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 -1/2 (*.f64 x x))
1.0ms
x
@inf
(*.f64 -1/2 (*.f64 x x))
0.0ms
x
@inf
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
0.0ms
x
@-inf
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
0.0ms
x
@0
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
Compiler

Compiled 1200 to 940 computations (21.7% saved)

rewrite67.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
706×fma-def_binary64
604×log-prod_binary64
348×fma-neg_binary64
207×pow1/3_binary64
202×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01332
129125
2445824
Stop Event
node limit
Counts
2 → 186
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/2 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) 1) (/.f64 1 (+.f64 1 (fma.f64 1/4 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4))) (/.f64 1 (fma.f64 -1/2 (*.f64 x x) 1)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 -1/2 (*.f64 x x) (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 x x) (exp.f64 (+.f64 x (log1p.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/2 (*.f64 x x) 1) (exp.f64 (+.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (fma.f64 -1/2 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1)) (fma.f64 (neg.f64 (neg.f64 (exp.f64 x))) (+.f64 x 1) (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 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(fma.f64 -1/2 (*.f64 x x) 1))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) 2) (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) (sqrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (/.f64 1 (fma.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1)) (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1)) (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2)) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1)) (pow.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1)) 2) (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (fma.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1)) (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))) (neg.f64 (fma.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1)) (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1)) 2)) (neg.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (exp.f64 (+.f64 x (log1p.f64 x)))) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 x x) (exp.f64 (+.f64 x (log1p.f64 x)))) (fma.f64 -1/2 (*.f64 x x) (exp.f64 (+.f64 x (log1p.f64 x))))) (fma.f64 -1/2 (*.f64 x x) (exp.f64 (+.f64 x (log1p.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 x x) 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simplify95.0ms (0.9%)

Algorithm
egg-herbie
Rules
481×associate-+r+_binary64
439×distribute-rgt-in_binary64
438×associate-+l+_binary64
402×distribute-lft-in_binary64
288×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03666121
18625413
224164444
Stop Event
node limit
Counts
204 → 253
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(+.f64 0 (*.f64 -1/2 (*.f64 x x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))
(-.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1)
(pow.f64 (*.f64 -1/2 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) 1/3)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x x)))))
(cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 x x))) 1))
(fma.f64 1 (fma.f64 -1/2 (*.f64 x x) 1) -1)
(fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1 -1)
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(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2) (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2) (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) 2) (fma.f64 (neg.f64 (neg.f64 (exp.f64 x))) (+.f64 x 1) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) 2) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) 2) (+.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) 2) (fma.f64 (neg.f64 (exp.f64 x)) (+.f64 x -1) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) 2) (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) (fma.f64 (neg.f64 (neg.f64 (exp.f64 x))) (+.f64 x 1) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) 2) (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) 2) (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) (+.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) 2) (cbrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) (fma.f64 (neg.f64 (exp.f64 x)) (+.f64 x -1) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) (+.f64 x 1)) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) (exp.f64 (+.f64 x (log1p.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (exp.f64 (+.f64 x (log1p.f64 x))))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (-.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 x)) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (exp.f64 x))) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (-.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (neg.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) (sqrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) (fma.f64 (neg.f64 (neg.f64 (exp.f64 x))) (+.f64 x 1) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) (sqrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) (sqrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) (+.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) (sqrt.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))) (fma.f64 (neg.f64 (exp.f64 x)) (+.f64 x -1) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x 1)) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (exp.f64 (+.f64 x (log1p.f64 x))))
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (/.f64 1 (fma.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1)) (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))) (fma.f64 (neg.f64 (neg.f64 (exp.f64 x))) (+.f64 x 1) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (/.f64 1 (fma.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1)) (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (/.f64 1 (fma.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1)) (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))) (+.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (/.f64 1 (fma.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1)) (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))) (fma.f64 (neg.f64 (exp.f64 x)) (+.f64 x -1) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) 1) (/.f64 1 (+.f64 1 (fma.f64 1/4 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x))))) (exp.f64 (+.f64 x (log1p.f64 x))))
(fma.f64 -1 (exp.f64 (+.f64 x (log1p.f64 x))) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4))) (/.f64 1 (fma.f64 -1/2 (*.f64 x x) 1)) (exp.f64 (+.f64 x (log1p.f64 x))))
(fma.f64 (+.f64 x -1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (+.f64 x -1) (neg.f64 (exp.f64 x)) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (neg.f64 (exp.f64 x)) (+.f64 x 1) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (*.f64 -1/2 x) x (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (*.f64 -1/2 x) x (-.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (exp.f64 (+.f64 x (log1p.f64 x))))) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (exp.f64 (+.f64 x (log1p.f64 x)))))) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (exp.f64 (+.f64 x (log1p.f64 x))))) 1)
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (exp.f64 (+.f64 x (log1p.f64 x))))) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (exp.f64 (+.f64 x (log1p.f64 x))))) 1)
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (neg.f64 (+.f64 x -1)) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (fma.f64 (neg.f64 (neg.f64 (exp.f64 x))) (+.f64 x 1) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (+.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (fma.f64 (neg.f64 (exp.f64 x)) (+.f64 x -1) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) 1)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)) (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (*.f64 (+.f64 x -1) 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (*.f64 (*.f64 -1/2 x) 1) x (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (*.f64 (*.f64 -1/2 x) 1) x (-.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (*.f64 (*.f64 -1/2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (*.f64 (*.f64 -1/2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (*.f64 (*.f64 -1/2 x) (sqrt.f64 x)) (sqrt.f64 x) (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (*.f64 (*.f64 -1/2 x) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (*.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (*.f64 (+.f64 x 1) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (*.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (*.f64 (exp.f64 x) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)) (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (*.f64 -1 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (*.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (*.f64 (+.f64 x -1) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)) (fma.f64 -1/2 (*.f64 x x) 1))
Outputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (neg.f64 (*.f64 x x)))
(-.f64 2 (*.f64 x x))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 2 (fma.f64 -1 (*.f64 x x) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 2 (fma.f64 1/3 (pow.f64 x 3) (*.f64 x (neg.f64 x))))
(+.f64 2 (*.f64 x (-.f64 (*.f64 1/3 (*.f64 x x)) x)))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 (-.f64 2 (*.f64 x x)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 4))))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(+.f64 0 (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 x x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))
(*.f64 -1/2 (*.f64 x x))
(-.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1)
(*.f64 -1/2 (*.f64 x x))
(pow.f64 (*.f64 -1/2 (*.f64 x x)) 1)
(*.f64 -1/2 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3)
(*.f64 -1/2 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(*.f64 -1/2 (*.f64 x x))
(pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) 1/3)
(cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (*.f64 -1/8 (pow.f64 x 6)))
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(fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (*.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)) (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1)) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2) (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1)) (+.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (neg.f64 (exp.f64 (+.f64 x (log1p.f64 x))))))
(fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (*.f64 (exp.f64 x) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1)) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2) (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1)) (+.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (neg.f64 (exp.f64 (+.f64 x (log1p.f64 x))))))
(fma.f64 (+.f64 x 1) (exp.f64 x) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)) (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (fma.f64 -1/2 (*.f64 x x) 1))
(-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (exp.f64 (+.f64 x (log1p.f64 x))))
(fma.f64 (*.f64 -1 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (fma.f64 -1/2 (*.f64 x x) 1))
(-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (exp.f64 (+.f64 x (log1p.f64 x))))
(fma.f64 (*.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (exp.f64 x) (+.f64 x -1) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (*.f64 (+.f64 x -1) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)) (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 (exp.f64 x) (+.f64 x -1) (fma.f64 -1/2 (*.f64 x x) 1))

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 62 to 29 computations (53.2% saved)

series9.0ms (0.1%)

Counts
2 → 16
Calls

6 calls:

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

Compiled 990 to 665 computations (32.8% saved)

rewrite52.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1021×pow1_binary64
953×log1p-expm1-u_binary64
953×expm1-log1p-u_binary64
122×add-sqr-sqrt_binary64
119×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01127
123818
2375118
Stop Event
node limit
Counts
2 → 77
Calls
Call 1
Inputs
(/.f64 x (exp.f64 x))
(-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (exp.f64 x))) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 x)) (/.f64 x (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (/.f64 x (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (pow.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 log.f64 (+.f64 1 (expm1.f64 (*.f64 x (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 x) x) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (exp.f64 x)) (exp.f64 (+.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) (fma.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1 (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) (fma.f64 (neg.f64 (neg.f64 (exp.f64 x))) (+.f64 x 1) (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2) (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) (fma.f64 (exp.f64 (+.f64 x (log1p.f64 x))) -1 (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) (fma.f64 (neg.f64 (exp.f64 x)) (+.f64 x -1) (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (exp.f64 x)) 0) (exp.f64 (+.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2) (/.f64 1 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))) (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2)) (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))) (sqrt.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2) (exp.f64 (+.f64 (+.f64 (log.f64 x) x) (+.f64 x (log1p.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (-.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2) (exp.f64 (+.f64 (+.f64 (log.f64 x) x) (+.f64 x (log1p.f64 x))))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2) (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (+.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2) (exp.f64 (+.f64 (+.f64 (log.f64 x) x) (+.f64 x (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (-.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) (exp.f64 (+.f64 (+.f64 (log.f64 x) x) (+.f64 x (log1p.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2) (exp.f64 (+.f64 (+.f64 (log.f64 x) x) (+.f64 x (log1p.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2)) (neg.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (exp.f64 x) (exp.f64 (+.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 (+.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 (+.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 (+.f64 x (log1p.f64 x))))))))

simplify46.0ms (0.4%)

Algorithm
egg-herbie
Rules
563×associate-/l*_binary64
464×distribute-rgt-in_binary64
431×distribute-lft-in_binary64
375×unswap-sqr_binary64
223×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02101552
15341130
221651040
Stop Event
node limit
Counts
93 → 136
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 5/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) x)))
(*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x)
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x))
(+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)))
(+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)))
(+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)))
(-.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 x (exp.f64 x)) 1)
(*.f64 1 (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.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 (sqrt.f64 (exp.f64 x)) (/.f64 x (sqrt.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (exp.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (exp.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (exp.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (/.f64 x (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (*.f64 x (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (exp.f64 x))))
(*.f64 (*.f64 x (cbrt.f64 (pow.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)))
(log.f64 (+.f64 1 (expm1.f64 (*.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))
(exp.f64 (*.f64 (+.f64 (log.f64 x) x) 1))
(+.f64 (*.f64 x (exp.f64 x)) (exp.f64 (+.f64 x (log1p.f64 x))))
(+.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 x (exp.f64 x)))
(+.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) (fma.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1 (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) (fma.f64 (neg.f64 (neg.f64 (exp.f64 x))) (+.f64 x 1) (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2) (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) (fma.f64 (exp.f64 (+.f64 x (log1p.f64 x))) -1 (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) (fma.f64 (neg.f64 (exp.f64 x)) (+.f64 x -1) (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (-.f64 (*.f64 x (exp.f64 x)) 0) (exp.f64 (+.f64 x (log1p.f64 x))))
(*.f64 1 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))))
(*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))
(*.f64 (exp.f64 x) (+.f64 x (+.f64 x -1)))
(*.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 1)
(*.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2) (/.f64 1 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))) (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2)) (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))) (sqrt.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2) (exp.f64 (+.f64 (+.f64 (log.f64 x) x) (+.f64 x (log1p.f64 x)))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (-.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2) (exp.f64 (+.f64 (+.f64 (log.f64 x) x) (+.f64 x (log1p.f64 x))))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))))
(/.f64 1 (/.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2)))
(/.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2) (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (+.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2) (exp.f64 (+.f64 (+.f64 (log.f64 x) x) (+.f64 x (log1p.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (-.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) (exp.f64 (+.f64 (+.f64 (log.f64 x) x) (+.f64 x (log1p.f64 x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2) (exp.f64 (+.f64 (+.f64 (log.f64 x) x) (+.f64 x (log1p.f64 x)))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2)) (neg.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))
(pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 1)
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2))
(log.f64 (exp.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))
(exp.f64 (log.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))) 1))
(fma.f64 x (exp.f64 x) (exp.f64 (+.f64 x (log1p.f64 x))))
(fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 (+.f64 x (log1p.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 (+.f64 x (log1p.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 (+.f64 x (log1p.f64 x))))
Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) x))
(fma.f64 1/2 (pow.f64 x 3) (-.f64 x (*.f64 x x)))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (fma.f64 -1/6 (pow.f64 x 4) x)))
(fma.f64 1/2 (pow.f64 x 3) (-.f64 (fma.f64 -1/6 (pow.f64 x 4) x) (*.f64 x x)))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 -3/2 (*.f64 x x) x))
(+.f64 1 (fma.f64 (*.f64 x x) -3/2 x))
(+.f64 (*.f64 5/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) x)))
(fma.f64 5/6 (pow.f64 x 3) (+.f64 1 (fma.f64 -3/2 (*.f64 x x) x)))
(+.f64 (fma.f64 (*.f64 x x) -3/2 x) (fma.f64 (pow.f64 x 3) 5/6 1))
(*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x)
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
(*.f64 x (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))))
(fma.f64 x (*.f64 2 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (/.f64 x (exp.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))))
(fma.f64 x (*.f64 2 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (/.f64 x (exp.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))))
(fma.f64 x (*.f64 2 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (/.f64 x (exp.f64 x))))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x))
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
(*.f64 x (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))))
(fma.f64 x (*.f64 2 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (/.f64 x (exp.f64 x))))
(+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))))
(fma.f64 x (*.f64 2 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (/.f64 x (exp.f64 x))))
(+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))))
(fma.f64 x (*.f64 2 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (/.f64 x (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (exp.f64 x)))) 1)
(*.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 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 (*.f64 x (exp.f64 x)) 1)
(*.f64 x (exp.f64 x))
(*.f64 1 (*.f64 x (exp.f64 x)))
(*.f64 x (exp.f64 x))
(*.f64 (exp.f64 x) x)
(*.f64 x (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (exp.f64 x)))
(*.f64 x (exp.f64 x))
(*.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2))
(*.f64 x (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))))
(*.f64 x (exp.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 x (sqrt.f64 (exp.f64 x))))
x
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (exp.f64 x)))
(*.f64 x (exp.f64 x))
(*.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))))
(*.f64 x (exp.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (exp.f64 x)))
(/.f64 x (exp.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (exp.f64 x)))
(/.f64 x (exp.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (/.f64 x (cbrt.f64 (exp.f64 x))))
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) 2)))
(/.f64 (/.f64 x (cbrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (*.f64 x (exp.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (exp.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))))
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) 2)))
(/.f64 (/.f64 x (cbrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (exp.f64 x)))
(/.f64 x (exp.f64 x))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (exp.f64 x)))
(*.f64 x (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x))))
(*.f64 (*.f64 x (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(*.f64 x (exp.f64 x))
(pow.f64 (*.f64 x (exp.f64 x)) 1)
(*.f64 x (exp.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 3)
(*.f64 x (exp.f64 x))
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) 2)
(*.f64 x (exp.f64 x))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) 1/3)
(*.f64 x (exp.f64 x))
(pow.f64 (/.f64 (exp.f64 x) x) -1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (exp.f64 x)))
(/.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 x (exp.f64 x))
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 x)))
(*.f64 x (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (exp.f64 x)))))
(*.f64 x (exp.f64 x))
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3))
(*.f64 x (exp.f64 x))
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 x))))
(*.f64 x (exp.f64 x))
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 x))))
(*.f64 x (exp.f64 x))
(exp.f64 (+.f64 (log.f64 x) x))
(*.f64 x (exp.f64 x))
(exp.f64 (*.f64 (+.f64 (log.f64 x) x) 1))
(*.f64 x (exp.f64 x))
(+.f64 (*.f64 x (exp.f64 x)) (exp.f64 (+.f64 x (log1p.f64 x))))
(fma.f64 x (exp.f64 x) (exp.f64 (+.f64 x (log1p.f64 x))))
(*.f64 (exp.f64 x) (+.f64 x (exp.f64 (log1p.f64 x))))
(+.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 x (exp.f64 x)))
(fma.f64 x (exp.f64 x) (exp.f64 (+.f64 x (log1p.f64 x))))
(*.f64 (exp.f64 x) (+.f64 x (exp.f64 (log1p.f64 x))))
(+.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) (fma.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1 (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)) (fma.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1 (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (+.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (exp.f64 x)))
(+.f64 (exp.f64 x) (*.f64 2 (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) (fma.f64 (neg.f64 (neg.f64 (exp.f64 x))) (+.f64 x 1) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)) (fma.f64 (exp.f64 x) (+.f64 x 1) (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 (+.f64 x 1) (exp.f64 (log1p.f64 x)))))
(*.f64 (exp.f64 x) (+.f64 1 (+.f64 (+.f64 x 1) (exp.f64 (log1p.f64 x)))))
(+.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2) (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (exp.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2) (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (exp.f64 x) (*.f64 0 (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2) (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (exp.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2) (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (exp.f64 x) (*.f64 0 (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) (fma.f64 (exp.f64 (+.f64 x (log1p.f64 x))) -1 (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2) (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (exp.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2) (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (exp.f64 x) (*.f64 0 (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) (fma.f64 (neg.f64 (exp.f64 x)) (+.f64 x -1) (exp.f64 (+.f64 x (log1p.f64 x)))))
(fma.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)) (fma.f64 (neg.f64 (exp.f64 x)) (+.f64 x -1) (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (exp.f64 x) (fma.f64 (neg.f64 (exp.f64 x)) (+.f64 x -1) (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 (*.f64 (exp.f64 x) (-.f64 1 x)) (*.f64 (exp.f64 x) (+.f64 (exp.f64 (log1p.f64 x)) 1)))
(+.f64 (-.f64 (*.f64 x (exp.f64 x)) 0) (exp.f64 (+.f64 x (log1p.f64 x))))
(fma.f64 x (exp.f64 x) (exp.f64 (+.f64 x (log1p.f64 x))))
(*.f64 (exp.f64 x) (+.f64 x (exp.f64 (log1p.f64 x))))
(*.f64 1 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))))
(*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))
(exp.f64 x)
(*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))
(exp.f64 x)
(*.f64 (exp.f64 x) (+.f64 x (+.f64 x -1)))
(*.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 1)
(*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))
(exp.f64 x)
(*.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2) (/.f64 1 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))
(*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))
(exp.f64 x)
(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))) (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2)) (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))) (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))) (sqrt.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))
(*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))
(exp.f64 x)
(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2) (exp.f64 (+.f64 (+.f64 (log.f64 x) x) (+.f64 x (log1p.f64 x)))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2) (exp.f64 (+.f64 (log.f64 x) (+.f64 x (+.f64 x (log1p.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (fma.f64 (*.f64 x (exp.f64 x)) (exp.f64 (+.f64 x (log1p.f64 x))) (pow.f64 (exp.f64 x) 2)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) (-.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2) (exp.f64 (+.f64 (+.f64 (log.f64 x) x) (+.f64 x (log1p.f64 x))))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2) (exp.f64 (+.f64 (log.f64 x) (+.f64 x (+.f64 x (log1p.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (fma.f64 (*.f64 x (exp.f64 x)) (exp.f64 (+.f64 x (log1p.f64 x))) (pow.f64 (exp.f64 x) 2)))
(/.f64 1 (/.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2)))
(*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))
(exp.f64 x)
(/.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2) (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))))
(*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))
(exp.f64 x)
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (+.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2) (exp.f64 (+.f64 (+.f64 (log.f64 x) x) (+.f64 x (log1p.f64 x))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2) (exp.f64 (+.f64 (log.f64 x) (+.f64 x (+.f64 x (log1p.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (fma.f64 (*.f64 x (exp.f64 x)) (exp.f64 (+.f64 x (log1p.f64 x))) (pow.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (-.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) (exp.f64 (+.f64 (+.f64 (log.f64 x) x) (+.f64 x (log1p.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (-.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) (exp.f64 (+.f64 (log.f64 x) (+.f64 x (+.f64 x (log1p.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (-.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 x (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (-.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) (*.f64 (*.f64 x (pow.f64 (exp.f64 x) 2)) (-.f64 (exp.f64 (log1p.f64 x)) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2) (exp.f64 (+.f64 (+.f64 (log.f64 x) x) (+.f64 x (log1p.f64 x)))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2) (exp.f64 (+.f64 (log.f64 x) (+.f64 x (+.f64 x (log1p.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3)) (fma.f64 (*.f64 x (exp.f64 x)) (exp.f64 (+.f64 x (log1p.f64 x))) (pow.f64 (exp.f64 x) 2)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2)) (neg.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))
(*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))
(exp.f64 x)
(pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 1)
(*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))
(exp.f64 x)
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 3) 1/3)
(*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))
(exp.f64 x)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))) 3)
(*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))
(exp.f64 x)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))) 2)
(*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))
(exp.f64 x)
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 2))
(*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))
(exp.f64 x)
(log.f64 (exp.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))
(*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))
(exp.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))))))
(*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))
(exp.f64 x)
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1))) 3))
(*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))
(exp.f64 x)
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))
(*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))
(exp.f64 x)
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))
(*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))
(exp.f64 x)
(exp.f64 (log.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))))
(*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))
(exp.f64 x)
(exp.f64 (*.f64 (log.f64 (*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))) 1))
(*.f64 (exp.f64 x) (-.f64 x (+.f64 x -1)))
(exp.f64 x)
(fma.f64 x (exp.f64 x) (exp.f64 (+.f64 x (log1p.f64 x))))
(*.f64 (exp.f64 x) (+.f64 x (exp.f64 (log1p.f64 x))))
(fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 (+.f64 x (log1p.f64 x))))
(fma.f64 x (exp.f64 x) (exp.f64 (+.f64 x (log1p.f64 x))))
(*.f64 (exp.f64 x) (+.f64 x (exp.f64 (log1p.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 (+.f64 x (log1p.f64 x))))
(fma.f64 x (exp.f64 x) (exp.f64 (+.f64 x (log1p.f64 x))))
(*.f64 (exp.f64 x) (+.f64 x (exp.f64 (log1p.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 (+.f64 x (log1p.f64 x))))
(fma.f64 x (exp.f64 x) (exp.f64 (+.f64 x (log1p.f64 x))))
(*.f64 (exp.f64 x) (+.f64 x (exp.f64 (log1p.f64 x))))

eval388.0ms (3.6%)

Compiler

Compiled 18574 to 10937 computations (41.1% saved)

prune200.0ms (1.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New8958903
Fresh235
Picked101
Done426
Total90213915
Error
0.0b
Counts
915 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
17.5b
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (*.f64 eps x))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) 2)
42.3b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x))) 2)
0.6b
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
17.8b
(/.f64 (-.f64 2 (*.f64 x x)) 2)
38.0b
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (/.f64 x (exp.f64 x)))) 2)
54.9b
(/.f64 (+.f64 x 1) 2)
18.0b
(/.f64 (+.f64 2 (*.f64 (-.f64 eps 1) x)) 2)
17.9b
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 1/3 (*.f64 x x)) x))) 2)
17.6b
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
45.0b
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
17.5b
(/.f64 2 2)
45.3b
(/.f64 0 2)
Compiler

Compiled 368 to 294 computations (20.1% saved)

localize20.0ms (0.2%)

Compiler

Compiled 53 to 32 computations (39.6% saved)

localize5.0ms (0%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 30 to 21 computations (30% saved)

series4.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

Compiled 375 to 165 computations (56% saved)

rewrite41.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
599×pow1_binary64
556×add-log-exp_binary64
555×log1p-expm1-u_binary64
555×expm1-log1p-u_binary64
545×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11247
215437
Stop Event
node limit
Counts
1 → 17
Calls
Call 1
Inputs
(*.f64 (-.f64 eps 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 cbrt.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 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)))))))

simplify46.0ms (0.4%)

Algorithm
egg-herbie
Rules
535×log-prod_binary64
420×fma-def_binary64
322×*-commutative_binary64
304×associate-*l*_binary64
263×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050219
1122219
2386219
32378219
45182219
Stop Event
node limit
Counts
29 → 27
Calls
Call 1
Inputs
(*.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 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 x eps) (*.f64 x -1))
(-.f64 (+.f64 1 (*.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)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 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
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(+.f64 (*.f64 x eps) (*.f64 x -1))
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(-.f64 (+.f64 1 (*.f64 (+.f64 eps -1) x)) 1)
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(/.f64 (*.f64 (+.f64 (pow.f64 eps 3) -1) x) (fma.f64 eps eps (+.f64 eps 1)))
(/.f64 x (/.f64 (fma.f64 eps eps (+.f64 eps 1)) (+.f64 -1 (pow.f64 eps 3))))
(*.f64 (+.f64 -1 (pow.f64 eps 3)) (/.f64 x (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 x (/.f64 (+.f64 eps (fma.f64 eps eps 1)) (+.f64 -1 (pow.f64 eps 3))))
(/.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 eps 1))
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(/.f64 (*.f64 x (+.f64 (pow.f64 eps 3) -1)) (fma.f64 eps eps (+.f64 eps 1)))
(/.f64 x (/.f64 (fma.f64 eps eps (+.f64 eps 1)) (+.f64 -1 (pow.f64 eps 3))))
(*.f64 (+.f64 -1 (pow.f64 eps 3)) (/.f64 x (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 x (/.f64 (+.f64 eps (fma.f64 eps eps 1)) (+.f64 -1 (pow.f64 eps 3))))
(/.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 eps 1))
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(pow.f64 (*.f64 (+.f64 eps -1) x) 1)
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(pow.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 3) 1/3)
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 eps -1) x)) 3)
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 eps -1) x)) 2)
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 2))
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(log.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 3))
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 eps -1) x)))
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 eps -1) x)))
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(exp.f64 (log.f64 (*.f64 (+.f64 eps -1) x)))
(*.f64 x (+.f64 -1 eps))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)

localize21.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 24 to 11 computations (54.2% saved)

localize48.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (*.f64 eps x))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
0.0b
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
0.0b
(*.f64 (-.f64 1 eps) x)
1.5b
(+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))
Compiler

Compiled 132 to 94 computations (28.8% saved)

series37.0ms (0.3%)

Counts
4 → 57
Calls

21 calls:

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

Compiled 3585 to 2610 computations (27.2% saved)

rewrite73.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
635×fma-neg_binary64
265×expm1-udef_binary64
264×log1p-udef_binary64
203×add-sqr-sqrt_binary64
200×*-un-lft-identity_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01763
139247
2659645
Stop Event
node limit
Counts
4 → 192
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))
(*.f64 (-.f64 1 eps) x)
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (*.f64 eps x))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 -1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 -1 (+.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 -1 (+.f64 x x))) (/.f64 (pow.f64 (+.f64 -1 x) 2) (+.f64 -1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 -1 (+.f64 x x)) 2) (/.f64 1 (+.f64 -1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (+.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 x x))) 2) (cbrt.f64 (+.f64 -1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 x x))) 2) (neg.f64 (cbrt.f64 (+.f64 -1 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (+.f64 x x))) (sqrt.f64 (+.f64 -1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (+.f64 x x))) (neg.f64 (sqrt.f64 (+.f64 -1 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 -1 (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (+.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (+.f64 -1 (+.f64 x x)))) (sqrt.f64 (+.f64 -1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 x x))) 2)) (cbrt.f64 (+.f64 -1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 -1 (+.f64 x x)))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -1 (+.f64 x x)) (pow.f64 (+.f64 -1 (+.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 -1 (+.f64 x x)) 2) (+.f64 -1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3)) (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 -1 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3)) (+.f64 (pow.f64 (+.f64 -1 x) 2) (fma.f64 x x (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 -1 (+.f64 x x)) 2)) (+.f64 -1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3))) (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 -1 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 -1 (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3)) (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 -1 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 -1 x) 2) (*.f64 x x)) (+.f64 -1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (+.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify99.0ms (0.9%)

Algorithm
egg-herbie
Rules
414×fma-def_binary64
257×div-sub_binary64
253×associate-*r*_binary64
208×log-prod_binary64
205×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04785254
113394505
261234483
Stop Event
node limit
Counts
249 → 338
Calls
Call 1
Inputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
x
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 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 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 -1 (-.f64 1 eps)) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 -1 (-.f64 1 eps)) 2) (pow.f64 x 2))) (*.f64 1/6 (*.f64 (pow.f64 (*.f64 -1 (-.f64 1 eps)) 3) (pow.f64 x 3))))))
(-.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 -1 x))) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 -1 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3)))) (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 -1 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(*.f64 -1 (*.f64 eps x))
(*.f64 -1 (*.f64 eps x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
2
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(/.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps)) 2) (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 -1 (+.f64 x x)))) (neg.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3))))) (*.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps)) (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 -1 (+.f64 x x))))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 -1 (+.f64 x x))) (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2) (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))) (pow.f64 (+.f64 -1 (+.f64 x x)) 2))) (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2) (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))) (+.f64 -1 (+.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps)) 2) (+.f64 -1 (+.f64 x x))) (*.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps)) (pow.f64 (+.f64 -1 (+.f64 x x)) 2))) (*.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps)) (+.f64 -1 (+.f64 x x))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (*.f64 x eps) 3)) (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 -1 (+.f64 x x))))) (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2) (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3)))) (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2) (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))) (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 -1 (+.f64 x x))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps)) 2) (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 -1 (+.f64 x x))))) (*.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3)))) (*.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps)) (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 -1 (+.f64 x x))))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 -1 (+.f64 x x))) (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2) (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))) (pow.f64 (+.f64 -1 (+.f64 x x)) 2))) (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2) (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))) (+.f64 -1 (+.f64 x x))))
(/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps)) 2) (+.f64 -1 (+.f64 x x))) (*.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps)) (pow.f64 (+.f64 -1 (+.f64 x x)) 2))) (*.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps)) (+.f64 -1 (+.f64 x x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x eps x)) 3) (pow.f64 (+.f64 -1 x) 3)) (+.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x eps x)) (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x eps x))) (+.f64 (pow.f64 (+.f64 -1 x) 2) (*.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x eps x)) (+.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (-.f64 (fma.f64 x eps x) (+.f64 -1 x)) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2) (-.f64 (*.f64 (-.f64 (fma.f64 x eps x) (+.f64 -1 x)) (-.f64 (fma.f64 x eps x) (+.f64 -1 x))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 (fma.f64 x eps x) (+.f64 -1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps)) 3) (pow.f64 (+.f64 -1 (+.f64 x x)) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps)) 2) (-.f64 (pow.f64 (+.f64 -1 (+.f64 x x)) 2) (*.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps)) (+.f64 -1 (+.f64 x x))))))
(/.f64 (fma.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x eps x)) (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x eps x)) (pow.f64 (+.f64 -1 x) 2)) (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 (fma.f64 x eps x) (+.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2) (*.f64 (-.f64 (fma.f64 x eps x) (+.f64 -1 x)) (-.f64 (fma.f64 x eps x) (+.f64 -1 x)))) (-.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 (fma.f64 x eps x) (+.f64 -1 x))))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 (fma.f64 x eps x) (+.f64 -1 x))) 1)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 (fma.f64 x eps x) (+.f64 -1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 (fma.f64 x eps x) (+.f64 -1 x)))) 3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 (fma.f64 x eps x) (+.f64 -1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 (fma.f64 x eps x) (+.f64 -1 x))) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 (fma.f64 x eps x) (+.f64 -1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 (fma.f64 x eps x) (+.f64 -1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 (fma.f64 x eps x) (+.f64 -1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 (fma.f64 x eps x) (+.f64 -1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 (fma.f64 x eps x) (+.f64 -1 x)))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 (fma.f64 x eps x) (+.f64 -1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 (fma.f64 x eps x) (+.f64 -1 x)))) 1))
(fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 (fma.f64 x eps x) (+.f64 -1 x)))
(fma.f64 1 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps)) (+.f64 -1 (+.f64 x x)))
(fma.f64 1 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x eps x)) (+.f64 -1 x))
(fma.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps)) 1 (+.f64 -1 (+.f64 x x)))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps)) 2) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps))) (+.f64 -1 (+.f64 x x)))
(fma.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps))) 2) (+.f64 -1 (+.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps))) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps))) (+.f64 -1 (+.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (-.f64 (fma.f64 x eps x) (+.f64 -1 x)))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps))) (+.f64 -1 (+.f64 x x)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (-.f64 (fma.f64 x eps x) (+.f64 -1 x)))
(fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (*.f64 x eps) 3)) (/.f64 1 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2) (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (+.f64 -1 (+.f64 x x)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x eps x))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x eps x)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x eps x))) (+.f64 -1 x))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x eps x))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x eps x))) (+.f64 -1 x))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps))) (sqrt.f64 x)) (+.f64 -1 x))
(fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (*.f64 x eps))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (*.f64 x eps))) (+.f64 -1 (+.f64 x x)))
Outputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
x
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(neg.f64 (*.f64 x eps))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(neg.f64 (*.f64 x eps))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(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 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (exp.f64 (*.f64 -1 x))))
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (exp.f64 (neg.f64 x))))
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (exp.f64 (*.f64 -1 x)))))
(fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 x eps) 3)) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (exp.f64 (neg.f64 x)))))
(fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 x eps) 3)) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (exp.f64 (neg.f64 x)))))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
1
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)
(fma.f64 -1 (*.f64 x (-.f64 1 eps)) 1)
(fma.f64 (+.f64 -1 eps) x 1)
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 -1 (-.f64 1 eps)) 2) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (*.f64 x (-.f64 1 eps)) 1) (*.f64 1/2 (*.f64 (pow.f64 (neg.f64 (-.f64 1 eps)) 2) (*.f64 x x))))
(fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) 1))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 -1 (-.f64 1 eps)) 2) (pow.f64 x 2))) (*.f64 1/6 (*.f64 (pow.f64 (*.f64 -1 (-.f64 1 eps)) 3) (pow.f64 x 3))))))
(+.f64 (fma.f64 -1 (*.f64 x (-.f64 1 eps)) 1) (fma.f64 1/2 (*.f64 (pow.f64 (neg.f64 (-.f64 1 eps)) 2) (*.f64 x x)) (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (-.f64 1 eps)) 3)))))
(+.f64 (fma.f64 (+.f64 -1 eps) x 1) (fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) (*.f64 (pow.f64 x 3) (*.f64 -1/6 (pow.f64 (-.f64 1 eps) 3)))))
(-.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (+.f64 x (+.f64 (neg.f64 x) 1))))
(+.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 -1 x))) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 -1 (+.f64 x (+.f64 (neg.f64 x) 1))))
(+.f64 1 (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (neg.f64 x)) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 -1 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (neg.f64 x)) (fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (exp.f64 (neg.f64 x)))) (*.f64 -1 (+.f64 x (+.f64 (neg.f64 x) 1))))
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2
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(-.f64 x (+.f64 -1 x))
1
(-.f64 (+.f64 -1 x) x)
-1
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1
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-1
(fma.f64 -1 (+.f64 -1 x) x)
1
(fma.f64 x -1 (+.f64 -1 x))
-1
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(fma.f64 2 x -1)
(fma.f64 (+.f64 -1 x) -1 x)
1
(fma.f64 (+.f64 -1 x) 1 x)
(+.f64 (+.f64 -1 x) x)
(fma.f64 2 x -1)
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(+.f64 (+.f64 -1 x) x)
(fma.f64 2 x -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 -1 x))
(+.f64 (+.f64 -1 x) x)
(fma.f64 2 x -1)
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(+.f64 (+.f64 -1 x) x)
(fma.f64 2 x -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (+.f64 -1 x))
-1
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1
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-1
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-1
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1
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1
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(+.f64 (fma.f64 2 x -1) (fma.f64 x eps (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 x eps))) (sqrt.f64 x)) (+.f64 -1 x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (*.f64 x eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))) (-.f64 (sqrt.f64 (+.f64 (*.f64 x eps) (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (sqrt.f64 x)) (+.f64 -1 x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x eps (pow.f64 (exp.f64 x) (-.f64 1 eps))))) (-.f64 (sqrt.f64 (fma.f64 x eps (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (sqrt.f64 x)) (+.f64 -1 x))
(fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (*.f64 x eps))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (*.f64 x eps))) (+.f64 -1 (+.f64 x x)))
(fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (*.f64 x eps))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (*.f64 x eps))) (+.f64 (+.f64 -1 x) x))
(fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (*.f64 x eps))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (*.f64 x eps))) (fma.f64 2 x -1))

eval180.0ms (1.7%)

Compiler

Compiled 12673 to 7997 computations (36.9% saved)

prune81.0ms (0.8%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New4164420
Fresh066
Picked101
Done246
Total41914433
Error
0.0b
Counts
433 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
17.6b
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (*.f64 eps x))) -1) 2)
42.3b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x))) 2)
0.6b
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
17.8b
(/.f64 (-.f64 2 (*.f64 x x)) 2)
38.0b
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (/.f64 x (exp.f64 x)))) 2)
17.9b
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 1/3 (*.f64 x x)) x))) 2)
17.7b
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
17.6b
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
45.0b
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
62.1b
(/.f64 (*.f64 2 (-.f64 x (*.f64 x x))) 2)
61.9b
(/.f64 (*.f64 2 x) 2)
17.5b
(/.f64 2 2)
45.3b
(/.f64 0 2)
Compiler

Compiled 188 to 150 computations (20.2% saved)

regimes58.0ms (0.5%)

Counts
31 → 1
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 2 x) 2)
(/.f64 (+.f64 x 1) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (-.f64 2 (*.f64 x x)) 2)
(/.f64 (*.f64 2 (-.f64 x (*.f64 x x))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 eps 1) x)) 2)
(/.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 1/3 (*.f64 x x)) x))) 2)
(/.f64 (-.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (*.f64 eps x))) -1) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (*.f64 eps x))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 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 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (/.f64 x (exp.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 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 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.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)) (/.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) 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 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
Outputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
Calls

6 calls:

16.0ms
eps
13.0ms
x
5.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
4.0ms
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
4.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Results
ErrorSegmentsBranch
0.4b1x
0.4b1eps
0.4b1(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
0.4b1(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
0.4b1(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
0.4b1(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Compiler

Compiled 615 to 452 computations (26.5% saved)

regimes80.0ms (0.7%)

Counts
22 → 2
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 2 x) 2)
(/.f64 (+.f64 x 1) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (-.f64 2 (*.f64 x x)) 2)
(/.f64 (*.f64 2 (-.f64 x (*.f64 x x))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 eps 1) x)) 2)
(/.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 1/3 (*.f64 x x)) x))) 2)
(/.f64 (-.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (*.f64 eps x))) -1) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (*.f64 eps x))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 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 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 2 (/.f64 x (exp.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
Outputs
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 0 2)
Calls

2 calls:

51.0ms
eps
21.0ms
x
Results
ErrorSegmentsBranch
0.7b2x
14.5b5eps
Compiler

Compiled 281 to 202 computations (28.1% saved)

bsearch69.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
68.0ms
0.008418344168389399
49287.50638523883
Results
29.0ms59×body1024valid
16.0ms36×body512valid
10.0ms64×body256infinite
8.0ms45×body256valid
3.0msbody2048valid
Compiler

Compiled 189 to 164 computations (13.2% saved)

regimes47.0ms (0.4%)

Counts
12 → 2
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 2 x) 2)
(/.f64 (+.f64 x 1) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (-.f64 2 (*.f64 x x)) 2)
(/.f64 (*.f64 2 (-.f64 x (*.f64 x x))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 eps 1) x)) 2)
(/.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 1/3 (*.f64 x x)) x))) 2)
(/.f64 (-.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
Outputs
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 1/3 (*.f64 x x)) x))) 2)
(/.f64 0 2)
Calls

2 calls:

31.0ms
eps
13.0ms
x
Results
ErrorSegmentsBranch
0.8b2x
15.1b5eps
Compiler

Compiled 105 to 78 computations (25.7% saved)

bsearch70.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
69.0ms
0.008418344168389399
49287.50638523883
Results
28.0ms55×body1024valid
15.0ms40×body512valid
11.0ms64×body256infinite
7.0ms40×body256valid
7.0msbody2048valid
Compiler

Compiled 234 to 191 computations (18.4% saved)

regimes50.0ms (0.5%)

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

2 calls:

37.0ms
eps
11.0ms
x
Results
ErrorSegmentsBranch
0.8b2x
15.1b5eps
Compiler

Compiled 69 to 52 computations (24.6% saved)

bsearch74.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
73.0ms
0.008418344168389399
49287.50638523883
Results
38.0ms65×body1024valid
12.0ms16×body2048valid
12.0ms36×body512valid
5.0ms33×body256infinite
5.0ms27×body256valid
Compiler

Compiled 180 to 155 computations (13.9% saved)

regimes35.0ms (0.3%)

Accuracy

Total -61.5b remaining (-7331.4%)

Threshold costs -61.5b (-7331.4%)

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

2 calls:

23.0ms
eps
11.0ms
x
Results
ErrorSegmentsBranch
0.8b2x
15.1b5eps
Compiler

Compiled 31 to 25 computations (19.4% saved)

bsearch82.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
82.0ms
0.008418344168389399
49287.50638523883
Results
43.0ms60×body1024valid
19.0ms39×body512valid
8.0ms50×body256infinite
7.0ms40×body256valid
4.0msbody2048valid
Compiler

Compiled 144 to 137 computations (4.9% saved)

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Rules
45×distribute-rgt-neg-in_binary64
45×cancel-sign-sub-inv_binary64
31×distribute-lft-neg-out_binary64
27×distribute-lft-neg-in_binary64
25×neg-sub0_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03696
15694
27894
310494
413294
516594
620994
727994
832494
936294
1037594
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
(if (<=.f64 x 350) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (/.f64 0 2))
(if (<=.f64 x 350) (/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 1/3 (*.f64 x x)) x))) 2) (/.f64 0 2))
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (-.f64 2 (*.f64 x x)) 2) (/.f64 0 2))
(if (<=.f64 x 350) (/.f64 2 2) (/.f64 0 2))
(/.f64 0 2)
Outputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (/.f64 (neg.f64 (+.f64 x 1)) (exp.f64 x))) 2)
(/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(if (<=.f64 x 350) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (/.f64 0 2))
(if (<=.f64 x 350) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) 0)
(if (<=.f64 x 350) (/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 1/3 (*.f64 x x)) x))) 2) (/.f64 0 2))
(if (<=.f64 x 350) (/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 1/3 (*.f64 x x)) x))) 2) 0)
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (-.f64 2 (*.f64 x x)) 2) (/.f64 0 2))
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (-.f64 2 (*.f64 x x)) 2) 0)
(if (<=.f64 x 350) (/.f64 2 2) (/.f64 0 2))
(if (<=.f64 x 350) 1 0)
(/.f64 0 2)
0
Compiler

Compiled 77 to 60 computations (22.1% saved)

soundness205.0ms (1.9%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02045
15745
215937
354137
4169737
060812251
1156511513
2527511507
Stop Event
node limit
node limit
Compiler

Compiled 368 to 288 computations (21.7% saved)

end66.0ms (0.6%)

Compiler

Compiled 67 to 49 computations (26.9% saved)

Profiling

Loading profile data...