Details

Time bar (total: 8.9s)

analyze209.0ms (2.4%)

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 (35.4%)

Results
1.4s2104×body1024valid
891.0ms4944×body256valid
350.0ms986×body512valid
237.0ms222×body2048valid
139.0ms419×body256unsamplable
92.0ms474×body256infinite
16.0ms19×body1024infinite
6.0ms15×body512infinite
Bogosity

preprocess65.0ms (0.7%)

Algorithm
egg-herbie
Rules
572×associate-*l/_binary64
464×associate-/l/_binary64
345×associate-/r/_binary64
239×fma-def_binary64
238×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03590
110390
229974
3102874
4331174
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 x) eps)))) (*.f64 (-.f64 (/.f64 1 x) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 x) eps))))) 2)
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (neg.f64 (+.f64 1 eps)) x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)) (+.f64 (neg.f64 (/.f64 1 eps)) 1))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 x) eps)))) (*.f64 (-.f64 (/.f64 1 x) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 x) eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (*.f64 (-.f64 1 x) (neg.f64 eps)))) (*.f64 (+.f64 (/.f64 1 x) -1) (exp.f64 (*.f64 (+.f64 1 x) (neg.f64 eps))))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (-.f64 1 x)) (neg.f64 eps)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (neg.f64 eps)) (+.f64 (neg.f64 (/.f64 1 x)) 1))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 eps) (+.f64 x -1)) (/.f64 (+.f64 1 (/.f64 -1 x)) (exp.f64 (fma.f64 eps x eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 eps) (+.f64 x -1)) (/.f64 (-.f64 1 (/.f64 1 x)) (exp.f64 (fma.f64 eps x eps)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 eps) (+.f64 x -1)) (/.f64 (+.f64 1 (/.f64 -1 x)) (exp.f64 (fma.f64 eps x eps)))))
Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify31.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02045
15745
215937
354137
4169737
Stop Event
node limit
Counts
1 → 6
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))

eval3.0ms (0%)

Compiler

Compiled 164 to 118 computations (28% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New426
Fresh101
Picked000
Done000
Total527
Error
28.6b
Counts
7 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
29.2b
(/.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)
28.6b
(/.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 58 to 44 computations (24.1% saved)

localize47.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 1 eps) (neg.f64 x))
0.0b
(*.f64 (+.f64 (/.f64 1 eps) -1) (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))))
1.9b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
Compiler

Compiled 136 to 92 computations (32.4% saved)

series18.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

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

rewrite130.0ms (1.5%)

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
01891
140378
2574469
Stop Event
node limit
Counts
4 → 275
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 (/.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))
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 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (neg.f64 eps)))))))

simplify208.0ms (2.4%)

Algorithm
egg-herbie
Rules
694×fma-neg_binary64
642×times-frac_binary64
332×associate-*r*_binary64
322×fma-def_binary64
306×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067014682
1181413600
2620813579
Stop Event
node limit
Counts
371 → 477
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (+.f64 (*.f64 1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7))) (*.f64 1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6)))) (+.f64 (*.f64 -1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6))) (*.f64 -1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7)))))) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 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) 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 eps) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.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 (pow.f64 x 3) (-.f64 (*.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 3))) (*.f64 -1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 3))))) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2)))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(/.f64 (exp.f64 (*.f64 -1 x)) eps)
(+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))
(+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))))))
(+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))))))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) eps))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) eps))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) eps))
(+.f64 (/.f64 1 eps) 1)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))) (*.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3))))))))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(/.f64 (exp.f64 (*.f64 -1 x)) eps)
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))))))
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(*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
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(+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))
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(+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps))
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(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))
(+.f64 (neg.f64 (exp.f64 (fma.f64 eps x x))) (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(+.f64 (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (/.f64 1 eps)) (*.f64 (exp.f64 (fma.f64 eps x x)) -1))
(+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) -1) (*.f64 (exp.f64 (fma.f64 eps x x)) (/.f64 1 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) 1)
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (exp.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) (exp.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (pow.f64 eps -3))) (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps)))
(/.f64 (*.f64 (exp.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) (exp.f64 (fma.f64 eps x x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 2)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 2))
(log.f64 (pow.f64 (exp.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) (exp.f64 (fma.f64 eps x x))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(exp.f64 (+.f64 (fma.f64 eps x x) (log.f64 (+.f64 (/.f64 1 eps) -1))))
(exp.f64 (*.f64 (+.f64 (fma.f64 eps x x) (log.f64 (+.f64 (/.f64 1 eps) -1))) 1))
(fma.f64 1 (neg.f64 (exp.f64 (fma.f64 eps x x))) (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x)) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(fma.f64 -1 (exp.f64 (fma.f64 eps x x)) (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (exp.f64 (fma.f64 eps x x)) (/.f64 1 eps) (*.f64 (exp.f64 (fma.f64 eps x x)) -1))
(fma.f64 (exp.f64 (fma.f64 eps x x)) -1 (*.f64 (exp.f64 (fma.f64 eps x x)) (/.f64 1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (exp.f64 (fma.f64 eps x x)))) (cbrt.f64 (neg.f64 (exp.f64 (fma.f64 eps x x))))) (cbrt.f64 (neg.f64 (exp.f64 (fma.f64 eps x x)))) (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (sqrt.f64 (neg.f64 (exp.f64 (fma.f64 eps x x)))) (sqrt.f64 (neg.f64 (exp.f64 (fma.f64 eps x x)))) (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(+.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)))
Outputs
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (*.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) -1/2)))) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) -1/2)))) (*.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (pow.f64 eps 4) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 4) 1/24)) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) -1/24 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 5) -1/120))))) (pow.f64 eps 4) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) -1/2)))) (exp.f64 (neg.f64 x))))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (+.f64 (*.f64 1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7))) (*.f64 1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6)))) (+.f64 (*.f64 -1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6))) (*.f64 -1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7)))))) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (pow.f64 eps 6) (-.f64 (fma.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (*.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)))) (fma.f64 -1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) -1/5040))) (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (pow.f64 eps 4) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6)))))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (pow.f64 eps 6) (-.f64 (fma.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 7) 1/5040))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) -1/720 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 7) -1/5040)))) (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 4) 1/24)) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) -1/24 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 5) -1/120))))) (pow.f64 eps 4) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) -1/2)))) (exp.f64 (neg.f64 x)))))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
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2
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(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 x (neg.f64 eps)))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 eps) x))
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 eps)))
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 eps) x))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x (neg.f64 eps)))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))

localize41.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
0.0b
(pow.f64 (exp.f64 x) (+.f64 eps -1))
3.6b
(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)

series56.0ms (0.6%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
24.0ms
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))))
23.0ms
x
@-inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
2.0ms
eps
@0
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
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))))
1.0ms
eps
@inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))

rewrite70.0ms (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
01659
135157
2503857
Stop Event
node limit
Counts
3 → 78
Calls
Call 1
Inputs
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) 1) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (fma.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (-.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1))))) (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) eps) (/.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (+.f64 eps -1)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (+.f64 eps -1)) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 x (+.f64 eps -1)) 1))))))
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simplify82.0ms (0.9%)

Algorithm
egg-herbie
Rules
426×unswap-sqr_binary64
423×cancel-sign-sub-inv_binary64
395×fma-neg_binary64
249×fma-def_binary64
216×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03694343
111494016
242703972
Stop Event
node limit
Counts
150 → 210
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
2
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2)
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 3))) (+.f64 (*.f64 1/6 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (+.f64 eps 1))) (*.f64 -1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3)))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(/.f64 -1 (*.f64 eps (exp.f64 x)))
(-.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 1 (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))))) (+.f64 1 eps))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 1 (/.f64 1 eps)))) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 1 (/.f64 1 eps)))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2)))))) (/.f64 1 eps))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(+.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))
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps)
0
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x)))))
(+.f64 (+.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) 0) (/.f64 x (exp.f64 x)))
(+.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x)))
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2
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1
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(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)))))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 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)))))))
(+.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (*.f64 x (+.f64 -1 eps)) (log1p.f64 (/.f64 1 eps)))))
(+.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))))
(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)))))))
(+.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (*.f64 x (+.f64 -1 eps)) (log1p.f64 (/.f64 1 eps)))))
(+.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))))
(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)))))))
(+.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (*.f64 x (+.f64 -1 eps)) (log1p.f64 (/.f64 1 eps)))))
(+.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (fma.f64 x (+.f64 -1 eps) (log1p.f64 (/.f64 1 eps)))))
(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))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 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))))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 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))))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 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))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))) 1)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 1)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(*.f64 (pow.f64 (exp.f64 x) eps) (/.f64 1 (exp.f64 x)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(*.f64 (/.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) eps))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(*.f64 (pow.f64 1 (+.f64 eps -1)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(*.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 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (+.f64 -1 eps)) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 -1 eps)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 (*.f64 eps 2) -2))
(pow.f64 (sqrt.f64 (exp.f64 x)) (fma.f64 eps 2 -2))
(sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 eps -1))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 x (+.f64 eps -1)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 (*.f64 x (+.f64 eps -1)) 1))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(*.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(*.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))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(*.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)))))
(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 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.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)))))
(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 (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 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 eps x x))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (/.f64 1 (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(/.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) 1) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(/.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(/.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) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (exp.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(/.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 (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 (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 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))
(*.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 (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))
(/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (/.f64 (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 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (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)))))
(*.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 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (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)
(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)))

eval549.0ms (6.2%)

Compiler

Compiled 30816 to 19501 computations (36.7% saved)

prune205.0ms (2.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New6789687
Fresh000
Picked101
Done101
Total6809689
Error
0.0b
Counts
689 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
44.8b
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
0.2b
(/.f64 (-.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))))) 2)
0.2b
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
46.5b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
46.4b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps))) x)) 1))) 2)
1.0b
(/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
0.2b
(/.f64 (+.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) 2)
18.2b
(/.f64 2 2)
44.8b
(/.f64 0 2)
Compiler

Compiled 348 to 274 computations (21.3% saved)

localize41.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiled 114 to 88 computations (22.8% saved)

series4.0ms (0%)

Counts
3 → 16
Calls

9 calls:

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

rewrite50.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
676×pow1_binary64
628×add-log-exp_binary64
628×log1p-expm1-u_binary64
628×expm1-log1p-u_binary64
615×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01040
121924
2340824
Stop Event
node limit
Counts
3 → 119
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (/.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (exp.f64 x))) (-.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2))) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)) (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (exp.f64 x) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) -1 (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) x (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (exp.f64 x)) -1 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (/.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (exp.f64 x))) (-.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2))) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)) (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (exp.f64 x) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) -1 (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) x (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (exp.f64 x)) -1 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log.f64 x)))))))

simplify75.0ms (0.8%)

Algorithm
egg-herbie
Rules
1082×fma-neg_binary64
708×fma-def_binary64
509×associate-/r*_binary64
356×unswap-sqr_binary64
239×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01652384
14372010
217231716
378601714
Stop Event
node limit
Counts
135 → 146
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) 1)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))) 1)
(*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x))
(*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 (exp.f64 (*.f64 -1 x)) x)
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(-.f64 (+.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 -1 (*.f64 (exp.f64 x) (+.f64 1 x)))
(*.f64 (exp.f64 x) (+.f64 1 x))
(*.f64 (exp.f64 x) (+.f64 x 1))
(*.f64 (exp.f64 x) (-.f64 x 1))
(*.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) -1)
(*.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)
(*.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x)))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (/.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (exp.f64 x))) (-.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (exp.f64 x))))
(*.f64 (+.f64 x 1) (exp.f64 x))
(*.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2))) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (*.f64 -1 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(/.f64 1 (/.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))))
(/.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)) (*.f64 (exp.f64 x) (+.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (*.f64 (exp.f64 x) (+.f64 1 x)))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2)
(neg.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(exp.f64 (log.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(fma.f64 -1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(fma.f64 -1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(fma.f64 (exp.f64 x) -1 (*.f64 x (exp.f64 x)))
(fma.f64 (exp.f64 x) x (exp.f64 x))
(fma.f64 (*.f64 x (exp.f64 x)) -1 (exp.f64 x))
(fma.f64 1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(-.f64 (+.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 -1 (*.f64 (exp.f64 x) (+.f64 1 x)))
(*.f64 (exp.f64 x) (+.f64 1 x))
(*.f64 (exp.f64 x) (+.f64 x 1))
(*.f64 (exp.f64 x) (-.f64 x 1))
(*.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) -1)
(*.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)
(*.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x)))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (/.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (exp.f64 x))) (-.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (exp.f64 x))))
(*.f64 (+.f64 x 1) (exp.f64 x))
(*.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2))) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (*.f64 -1 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(/.f64 1 (/.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))))
(/.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)) (*.f64 (exp.f64 x) (+.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (*.f64 (exp.f64 x) (+.f64 1 x)))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2)
(neg.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(exp.f64 (log.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(fma.f64 -1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(fma.f64 -1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(fma.f64 (exp.f64 x) -1 (*.f64 x (exp.f64 x)))
(fma.f64 (exp.f64 x) x (exp.f64 x))
(fma.f64 (*.f64 x (exp.f64 x)) -1 (exp.f64 x))
(fma.f64 1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(-.f64 (+.f64 1 (*.f64 x (exp.f64 x))) 1)
(-.f64 0 (*.f64 x (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)
(neg.f64 (*.f64 x (exp.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 x))))
(exp.f64 (+.f64 x (log.f64 x)))
Outputs
-1
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(fma.f64 1/2 (*.f64 x x) -1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) 1)
(+.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))) -1)
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) -1))
(fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/3)) -1)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3)))) -1)
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) -1)))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/3)) -1))
(*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x))
(neg.f64 (*.f64 x (exp.f64 (neg.f64 x))))
(*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))
(neg.f64 (/.f64 x (exp.f64 x)))
(*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x))
(neg.f64 (*.f64 x (exp.f64 (neg.f64 x))))
(*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))
(neg.f64 (/.f64 x (exp.f64 x)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 x (*.f64 x -1/2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 3) 1/3)))
(+.f64 (fma.f64 (*.f64 x x) -1/2 1) (*.f64 (pow.f64 x 3) 1/3))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 3) 1/3 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 (fma.f64 (*.f64 x x) -1/2 1) (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 4) -1/8)))
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/3) -1/2))))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) x))
(fma.f64 1/2 (pow.f64 x 3) (-.f64 x (*.f64 x x)))
(-.f64 (fma.f64 1/2 (pow.f64 x 3) x) (*.f64 x x))
(+.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 (pow.f64 x 4) -1/6 x) (*.f64 x x)))
(-.f64 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 (pow.f64 x 4) -1/6 x)) (*.f64 x x))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (exp.f64 x))
(*.f64 (exp.f64 x) (-.f64 1 x))
(-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))) 1)
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 x 1))) (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 x 1))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (exp.f64 (+.f64 x (log1p.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (+.f64 x (log1p.f64 x)))))
(-.f64 0 (/.f64 (-.f64 (exp.f64 x) (/.f64 (*.f64 x (exp.f64 x)) (/.f64 1 x))) (+.f64 x 1)))
(*.f64 -1 (*.f64 (exp.f64 x) (+.f64 1 x)))
(*.f64 (exp.f64 x) (neg.f64 (+.f64 x 1)))
(neg.f64 (exp.f64 (+.f64 x (log1p.f64 x))))
(*.f64 (exp.f64 x) (-.f64 -1 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(*.f64 (exp.f64 x) (+.f64 x 1))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(*.f64 (exp.f64 x) (-.f64 x 1))
(-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 -1 x))
(*.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) -1)
(*.f64 (exp.f64 x) (neg.f64 (+.f64 x 1)))
(neg.f64 (exp.f64 (+.f64 x (log1p.f64 x))))
(*.f64 (exp.f64 x) (-.f64 -1 x))
(*.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(*.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
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(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
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(*.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (/.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
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(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x 1))) (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 2)))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x 1))) (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 2)))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
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(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 1 (pow.f64 x 3))) (*.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) x)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (exp.f64 x))) (-.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (exp.f64 x))))
(-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 -1 x))
(*.f64 (+.f64 x 1) (exp.f64 x))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(*.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2))) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x 1))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 2))))
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(*.f64 (*.f64 -1 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (exp.f64 x) (neg.f64 (+.f64 x 1)))
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(*.f64 (exp.f64 x) (-.f64 -1 x))
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(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
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(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
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(/.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x)))
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(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 1 (pow.f64 x 3))) (*.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (-.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (exp.f64 x) 3)) (-.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (pow.f64 (exp.f64 x) 2)) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 1 (pow.f64 x 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (*.f64 x x) x))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)) (*.f64 (exp.f64 x) (+.f64 1 x)))
(*.f64 (exp.f64 x) (neg.f64 (+.f64 x 1)))
(neg.f64 (exp.f64 (+.f64 x (log1p.f64 x))))
(*.f64 (exp.f64 x) (-.f64 -1 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 1 (pow.f64 x 3))) (*.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 x 3) -1)) (*.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (*.f64 (exp.f64 x) (+.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (*.f64 (exp.f64 x) (+.f64 x 1)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (exp.f64 (+.f64 x (log1p.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 (*.f64 x (exp.f64 x)) (/.f64 1 x))) (+.f64 x 1))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (exp.f64 x) 3))) (-.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (-.f64 -1 (pow.f64 x 3))) (*.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) x)))
(pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 3)
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2)
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(neg.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))
(*.f64 (exp.f64 x) (neg.f64 (+.f64 x 1)))
(neg.f64 (exp.f64 (+.f64 x (log1p.f64 x))))
(*.f64 (exp.f64 x) (-.f64 -1 x))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log.f64 (exp.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
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(expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
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(log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (log.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
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(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 -1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 -1 x))
(fma.f64 -1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (exp.f64 x))
(*.f64 (exp.f64 x) (-.f64 1 x))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
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(fma.f64 (exp.f64 x) -1 (*.f64 x (exp.f64 x)))
(-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 -1 x))
(fma.f64 (exp.f64 x) x (exp.f64 x))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 (*.f64 x (exp.f64 x)) -1 (exp.f64 x))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (exp.f64 x))
(*.f64 (exp.f64 x) (-.f64 1 x))
(fma.f64 1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 1))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
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(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
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(-.f64 (+.f64 1 (*.f64 x (exp.f64 x))) 1)
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(*.f64 x (exp.f64 x))
(-.f64 0 (*.f64 x (exp.f64 x)))
(*.f64 x (neg.f64 (exp.f64 x)))
(*.f64 (neg.f64 x) (exp.f64 x))
(pow.f64 (*.f64 x (exp.f64 x)) 1)
(+.f64 1 (-.f64 (*.f64 x (exp.f64 x)) 1))
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(*.f64 x (exp.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 3)
(+.f64 1 (-.f64 (*.f64 x (exp.f64 x)) 1))
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) 2)
(+.f64 1 (-.f64 (*.f64 x (exp.f64 x)) 1))
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 x (exp.f64 x)) 1))
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(neg.f64 (*.f64 x (exp.f64 x)))
(*.f64 x (neg.f64 (exp.f64 x)))
(*.f64 (neg.f64 x) (exp.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2))
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(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (exp.f64 x)) 1))
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3))
(+.f64 1 (-.f64 (*.f64 x (exp.f64 x)) 1))
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (exp.f64 x)) 1))
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 x))))
(+.f64 1 (-.f64 (*.f64 x (exp.f64 x)) 1))
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))
(exp.f64 (+.f64 x (log.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (exp.f64 x)) 1))
(+.f64 (*.f64 x (exp.f64 x)) 0)
(*.f64 x (exp.f64 x))

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize36.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 90 to 63 computations (30% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite72.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
666×fma-def_binary64
664×log-prod_binary64
310×fma-neg_binary64
242×expm1-udef_binary64
242×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01329
129726
2435124
Stop Event
node limit
Counts
1 → 119
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (+.f64 (neg.f64 (/.f64 1 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (neg.f64 (/.f64 1 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (neg.f64 (/.f64 1 eps)) 1) 1))))))

simplify116.0ms (1.3%)

Algorithm
egg-herbie
Rules
801×div-sub_binary64
409×+-commutative_binary64
292×*-commutative_binary64
289×unswap-sqr_binary64
172×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03235197
18765007
227794658
369744658
Stop Event
node limit
Counts
143 → 195
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))))))) (/.f64 1 eps))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))) (/.f64 1 eps))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))) (/.f64 1 eps))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))) (/.f64 1 eps))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
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 eps) 2) (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))) (*.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))))))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (neg.f64 (/.f64 1 eps)) 1))
(+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1) 1))
(+.f64 (+.f64 1 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) (fma.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1) 1 (+.f64 (/.f64 1 eps) -1)))
(+.f64 (+.f64 1 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (+.f64 1 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) (+.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1) (+.f64 (/.f64 1 eps) -1)))
(+.f64 0 (+.f64 1 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))))
(+.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(+.f64 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)
(+.f64 (*.f64 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1) 1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))))) (cbrt.f64 (exp.f64 (+.f64 1 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))))))
(*.f64 1 (+.f64 1 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))))
(*.f64 (+.f64 1 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))) 2) (cbrt.f64 (+.f64 1 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))))
(*.f64 (sqrt.f64 (+.f64 1 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))) (sqrt.f64 (+.f64 1 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.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 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 (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 (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 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))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1)) (-.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 (-.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 (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 (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 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1)))
(/.f64 (neg.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))) (neg.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 (neg.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))) (neg.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1))))
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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 (neg.f64 (/.f64 1 eps)) 1) (+.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 (+.f64 (neg.f64 (/.f64 1 eps)) 1) 1 (+.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))) (pow.f64 (cbrt.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 (neg.f64 (/.f64 1 eps)) 1) (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1 1)
(fma.f64 (*.f64 (cbrt.f64 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) (cbrt.f64 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))) (cbrt.f64 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) 1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1)) (cbrt.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1))) (cbrt.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (sqrt.f64 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) (sqrt.f64 (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) 1)
(fma.f64 (sqrt.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1)) (sqrt.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1)) (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))))) (pow.f64 eps -1/2)) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (pow.f64 eps -1/2)) 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 (+.f64 (neg.f64 (/.f64 1 eps)) 1) 1 (+.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))) (pow.f64 (cbrt.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 (neg.f64 (/.f64 1 eps)) 1) (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.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)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (+.f64 (neg.f64 (/.f64 1 eps)) 1))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1) 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 (neg.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 (+.f64 (neg.f64 (/.f64 1 eps)) 1) 1))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (+.f64 (neg.f64 (/.f64 1 eps)) 1))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1) 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 (neg.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 (+.f64 (neg.f64 (/.f64 1 eps)) 1) 1))
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))) (/.f64 1 eps))
(+.f64 (+.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) eps)) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))) (/.f64 -1 eps))
(+.f64 1 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (expm1.f64 (neg.f64 x)) eps)))
(+.f64 1 (+.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))))))) (/.f64 1 eps))
(+.f64 (+.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) eps)) (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x)))))) (/.f64 -1 eps))
(+.f64 1 (+.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))))) (/.f64 (expm1.f64 (neg.f64 x)) eps)))
(+.f64 1 (+.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) (+.f64 (/.f64 x (exp.f64 x)) (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))))))) (/.f64 1 eps))
(+.f64 (+.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) eps)) (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x)))))))) (/.f64 -1 eps))
(+.f64 1 (+.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (exp.f64 (neg.f64 x))))) (/.f64 (expm1.f64 (neg.f64 x)) eps)))
(+.f64 1 (+.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) (+.f64 (/.f64 x (exp.f64 x)) (fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/6 (pow.f64 x 3)))) (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) (exp.f64 (neg.f64 x)))))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))) (/.f64 1 eps))
(+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps)) (/.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) eps) (+.f64 1 (/.f64 -1 eps))))
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))) (/.f64 1 eps))
(+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps)) (/.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) eps) (+.f64 1 (/.f64 -1 eps))))
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))) (/.f64 1 eps))
(+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps)) (/.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) eps) (+.f64 1 (/.f64 -1 eps))))
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) (neg.f64 (/.f64 (+.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))) eps)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (/.f64 (-.f64 1 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)) eps)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) eps)))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) (neg.f64 (/.f64 (+.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))) eps)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (/.f64 (-.f64 1 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)) eps)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) eps)))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) (neg.f64 (/.f64 (+.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))) eps)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (/.f64 (-.f64 1 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)) eps)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) 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)
(fma.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)) 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 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 (*.f64 x x) (pow.f64 (-.f64 1 eps) 2))))
(fma.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (pow.f64 eps -1)) (pow.f64 (-.f64 1 eps) 2))) 2))
(+.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (-.f64 1 eps) 2)))) (*.f64 (neg.f64 x) (-.f64 1 eps)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))) (*.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))))))
(+.f64 (fma.f64 -1 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) 2) (fma.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 eps) 2))) (*.f64 (*.f64 -1/6 (+.f64 1 (/.f64 1 eps))) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))))
(+.f64 (fma.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)) 2) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (pow.f64 eps -1)) (pow.f64 (-.f64 1 eps) 2))) (*.f64 (+.f64 1 (pow.f64 eps -1)) (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)) -1/6))))
(+.f64 (fma.f64 (+.f64 1/2 (/.f64 1/2 eps)) (*.f64 x (*.f64 x (pow.f64 (-.f64 1 eps) 2))) 2) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3))) (*.f64 (neg.f64 x) (-.f64 1 eps)))))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps)) (/.f64 1 eps)))
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(+.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 -1 (/.f64 1 eps))))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (pow.f64 eps -1)))) (+.f64 (/.f64 -1 eps) (+.f64 (/.f64 -1 eps) (+.f64 0 (pow.f64 eps -1))))))
(+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (*.f64 0 (/.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))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (+.f64 (/.f64 1 eps) -1)))
(+.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 -1 (/.f64 1 eps))))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (pow.f64 eps -1)))) (+.f64 (/.f64 -1 eps) (+.f64 (/.f64 -1 eps) (+.f64 0 (pow.f64 eps -1))))))
(+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (*.f64 0 (/.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 (neg.f64 (/.f64 1 eps)) 1) (+.f64 (/.f64 1 eps) -1)))
(+.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 -1 (/.f64 1 eps))))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (pow.f64 eps -1)))) (+.f64 (/.f64 -1 eps) (+.f64 (/.f64 -1 eps) (+.f64 0 (pow.f64 eps -1))))))
(+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (*.f64 0 (/.f64 1 eps))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.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)))))
(+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (pow.f64 eps -1)))) (/.f64 -1 eps)))
(+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (+.f64 (neg.f64 (/.f64 1 eps)) 1))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (+.f64 1 (pow.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1) 1))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (+.f64 1 (pow.f64 eps -1)) (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 (neg.f64 (/.f64 1 eps)) 1))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (+.f64 1 (pow.f64 eps -1)) (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 (neg.f64 (/.f64 1 eps)) 1) 1))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (+.f64 1 (pow.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (+.f64 (neg.f64 (/.f64 1 eps)) 1))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (+.f64 1 (pow.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 (neg.f64 (/.f64 1 eps)) 1) 1))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (+.f64 1 (pow.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.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 (neg.f64 (/.f64 1 eps)) 1))
(fma.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (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 (neg.f64 (/.f64 1 eps)) 1) 1))
(fma.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (hypot.f64 1 (pow.f64 eps -1/2))) (+.f64 1 (/.f64 -1 eps)))

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (exp.f64 x))
1.0b
(-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x)))
Compiler

Compiled 53 to 35 computations (34% saved)

series3.0ms (0%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x)))
1.0ms
x
@inf
(-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x)))
1.0ms
x
@-inf
(-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x)))
0.0ms
x
@0
(/.f64 1 (exp.f64 x))
0.0ms
x
@inf
(/.f64 1 (exp.f64 x))

rewrite41.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
481×pow1_binary64
473×add-sqr-sqrt_binary64
454×add-log-exp_binary64
453×log1p-expm1-u_binary64
453×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
11884
222194
Stop Event
node limit
Counts
2 → 28
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x)))
(/.f64 1 (exp.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (exp.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) -1) (pow.f64 (sqrt.f64 (exp.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 x)))))

simplify41.0ms (0.5%)

Algorithm
egg-herbie
Rules
572×fma-neg_binary64
468×times-frac_binary64
312×fma-def_binary64
301×exp-prod_binary64
286×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
069298
1169296
2529155
32547151
47394151
Stop Event
node limit
Counts
36 → 45
Calls
Call 1
Inputs
0
0
0
0
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
0
(+.f64 1 (expm1.f64 x))
(-.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 -1 (neg.f64 (exp.f64 x)))
(*.f64 1 (exp.f64 x))
(*.f64 (exp.f64 x) 1)
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (exp.f64 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) -1) (pow.f64 (sqrt.f64 (exp.f64 x)) -1))
(pow.f64 (exp.f64 x) -1)
(pow.f64 (exp.f64 x) 1)
(pow.f64 (exp.f64 -1) x)
(pow.f64 (E.f64) x)
(pow.f64 (cbrt.f64 (exp.f64 x)) 3)
(pow.f64 (sqrt.f64 (exp.f64 x)) 2)
(pow.f64 (pow.f64 (exp.f64 x) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 x) 2))
(log.f64 (exp.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (exp.f64 x) 3))
(expm1.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 x)))
(exp.f64 x)
Outputs
0
0
0
0
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) x) (fma.f64 -1/6 (pow.f64 x 3) 1))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) 1)) x)
(fma.f64 x (fma.f64 x 1/2 -1) (fma.f64 -1/6 (pow.f64 x 3) 1))
0
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(-.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(*.f64 -1 (neg.f64 (exp.f64 x)))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(*.f64 1 (exp.f64 x))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(*.f64 (exp.f64 x) 1)
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (exp.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 1 (cbrt.f64 (exp.f64 x))))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(exp.f64 (neg.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) -1) (pow.f64 (sqrt.f64 (exp.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 1 (cbrt.f64 (exp.f64 x))))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(exp.f64 (neg.f64 x))
(pow.f64 (exp.f64 x) -1)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 1 (cbrt.f64 (exp.f64 x))))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(exp.f64 (neg.f64 x))
(pow.f64 (exp.f64 x) 1)
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(pow.f64 (exp.f64 -1) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 1 (cbrt.f64 (exp.f64 x))))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(exp.f64 (neg.f64 x))
(pow.f64 (E.f64) x)
(pow.f64 (cbrt.f64 (exp.f64 x)) 3)
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(pow.f64 (sqrt.f64 (exp.f64 x)) 2)
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(pow.f64 (pow.f64 (exp.f64 x) 3) 1/3)
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 1 (cbrt.f64 (exp.f64 x))))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(exp.f64 (neg.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 x) 2))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(log.f64 (exp.f64 (exp.f64 x)))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(cbrt.f64 (pow.f64 (exp.f64 x) 3))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(expm1.f64 (log1p.f64 (exp.f64 x)))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(log1p.f64 (expm1.f64 (exp.f64 x)))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(exp.f64 x)
(+.f64 1 (expm1.f64 x))

localize23.0ms (0.3%)

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)

series1.0ms (0%)

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)))

rewrite76.0ms (0.9%)

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)))))))

simplify60.0ms (0.7%)

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))))

eval365.0ms (4.1%)

Compiler

Compiled 18779 to 13415 computations (28.6% saved)

prune176.0ms (2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New6706676
Fresh134
Picked011
Done224
Total67312685
Error
0b
Counts
685 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
37.5b
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
18.5b
(/.f64 (-.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3))) (fma.f64 -1/8 (pow.f64 x 4) 1)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
0.2b
(/.f64 (-.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))))) 2)
18.5b
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
0.2b
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
18.1b
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
46.4b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps))) x)) 1))) 2)
1.0b
(/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
33.8b
(/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2) 2)
18.2b
(/.f64 2 2)
44.8b
(/.f64 0 2)
Compiler

Compiled 414 to 334 computations (19.3% saved)

localize24.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 68 to 37 computations (45.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite61.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

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

simplify52.0ms (0.6%)

Algorithm
egg-herbie
Rules
609×fma-def_binary64
409×associate-/r/_binary64
340×fma-neg_binary64
335×associate-*l*_binary64
299×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0101584
1246531
2762405
33640395
47001395
Stop Event
node limit
Counts
43 → 53
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(-.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)
(*.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))
(*.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (neg.f64 (exp.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)
(pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -1)
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (exp.f64 x) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(exp.f64 (-.f64 (log1p.f64 x) x))
Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))))
(fma.f64 -1/8 (pow.f64 x 4) (fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) 1))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(-.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2))
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (neg.f64 (exp.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (exp.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (exp.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (exp.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (exp.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) 1/3)
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 3)
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -1)
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (exp.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2))
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (exp.f64 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (exp.f64 x) 3)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(exp.f64 (-.f64 (log1p.f64 x) x))
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize18.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 44 to 27 computations (38.6% saved)

localize72.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 1 eps) (neg.f64 x))
0.0b
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
0.2b
(*.f64 (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps))) x)
3.0b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps))) x)) 1)))
Compiler

Compiled 184 to 135 computations (26.6% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite78.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
379×log1p-udef_binary64
245×add-sqr-sqrt_binary64
242×*-un-lft-identity_binary64
242×pow1_binary64
227×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02065
147157
2747357
Stop Event
node limit
Counts
2 → 70
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps))) x)) 1)))
(*.f64 (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps))) x)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x) (*.f64 (/.f64 (+.f64 1 eps) eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 -1 (neg.f64 eps))) (*.f64 x (/.f64 (+.f64 1 eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)) x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 3)) (+.f64 0 (+.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 2) (*.f64 0 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 2)) (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (*.f64 x (+.f64 (/.f64 1 eps) -1))) (fma.f64 eps eps (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 eps eps -1) (*.f64 x (+.f64 (/.f64 1 eps) -1))) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 eps) (log.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)))) 1))))))

simplify95.0ms (1.1%)

Algorithm
egg-herbie
Rules
354×associate-/r*_binary64
349×unswap-sqr_binary64
328×fma-neg_binary64
320×cancel-sign-sub-inv_binary64
246×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03154816
19934701
240814018
Stop Event
node limit
Counts
118 → 174
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) x) 1) eps)
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) (+.f64 (exp.f64 (*.f64 -1 x)) x)))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (/.f64 x eps) x))))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (/.f64 x eps) x)))))))) (/.f64 1 eps))
(*.f64 -1 (*.f64 eps x))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))))) (/.f64 1 eps))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))))) (/.f64 1 eps))
(*.f64 -1 (*.f64 eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (+.f64 (*.f64 -1 x) x))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 x))) eps)) (+.f64 (*.f64 -1 x) x)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 x))) eps)) (+.f64 (*.f64 -1 x) x)))))
2
(+.f64 (*.f64 (+.f64 (*.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 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps)))) x) (+.f64 2 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))))))
(+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps)))) x) (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))) (*.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))))))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps))
(/.f64 x eps)
(+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 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))
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(-.f64 0 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))))
(-.f64 (fma.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)) x 1) 1)
(/.f64 (-.f64 0 (pow.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 3)) (+.f64 0 (+.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 2) (*.f64 0 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))))))
(/.f64 (-.f64 0 (pow.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 2)) (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (*.f64 x (+.f64 (/.f64 1 eps) -1))) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (*.f64 (fma.f64 eps eps -1) (*.f64 x (+.f64 (/.f64 1 eps) -1))) (+.f64 eps -1))
(pow.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))) 2)
(pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 3) 1/3)
(neg.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)))) 1))
Outputs
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) x) 1) eps)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 x 1)) eps)
(/.f64 (+.f64 -1 (+.f64 x (exp.f64 (neg.f64 x)))) eps)
(/.f64 (+.f64 x (expm1.f64 (neg.f64 x))) eps)
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) (+.f64 (exp.f64 (*.f64 -1 x)) x)))))) (/.f64 1 eps))
(-.f64 (+.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) eps)) (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 -1 x (+.f64 (+.f64 x (exp.f64 (neg.f64 x))) (/.f64 x eps))))) (/.f64 1 eps))
(+.f64 1 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (/.f64 x eps) 0) (exp.f64 (neg.f64 x)))) (/.f64 1 eps))))
(+.f64 1 (+.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x eps))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (/.f64 -1 eps))))
(-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (/.f64 x eps) x))))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 -1 x (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps)) (fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 -1 x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))))) (+.f64 x (/.f64 x eps)))))) (/.f64 1 eps)))
(+.f64 1 (+.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 (+.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps)) (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) x)) (/.f64 x eps))) x) x)) (/.f64 -1 eps)))
(+.f64 (+.f64 (+.f64 (+.f64 x (fma.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) x) (/.f64 x eps))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))) (*.f64 x (expm1.f64 (neg.f64 x)))) (+.f64 1 (/.f64 -1 eps)))
(-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (/.f64 x eps) x)))))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 -1 x (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps)) (fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 -1 x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))))) (+.f64 x (/.f64 x eps))))))) (/.f64 1 eps)))
(+.f64 1 (+.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) 1/6))) (*.f64 eps eps) (+.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps)) (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) x)) (/.f64 x eps))) x)) x)) (/.f64 -1 eps)))
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 x (fma.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) x) (/.f64 x eps)))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 eps eps) (exp.f64 (neg.f64 x)))) (*.f64 x (expm1.f64 (neg.f64 x)))) (+.f64 1 (/.f64 -1 eps)))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))))
(+.f64 (+.f64 1 (fma.f64 -1 (*.f64 x eps) (*.f64 0 x))) (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))
(+.f64 1 (fma.f64 (neg.f64 eps) x (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (*.f64 x eps)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))))) (/.f64 1 eps))
(-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) 1) (fma.f64 -1 (*.f64 x eps) (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps)))))) (/.f64 1 eps))
(+.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) eps) (+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps)))) (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (/.f64 1 eps)))
(+.f64 (+.f64 (+.f64 (/.f64 x eps) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) eps)) (-.f64 1 (*.f64 x eps))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))))) (/.f64 1 eps))
(-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) 1) (fma.f64 -1 (*.f64 x eps) (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps)))))) (/.f64 1 eps))
(+.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) eps) (+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps)))) (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (/.f64 1 eps)))
(+.f64 (+.f64 (+.f64 (/.f64 x eps) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) eps)) (-.f64 1 (*.f64 x eps))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 -1 eps)))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (+.f64 (*.f64 -1 x) x))))
(+.f64 (+.f64 1 (fma.f64 -1 (*.f64 x eps) (*.f64 0 x))) (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))
(+.f64 1 (fma.f64 (neg.f64 eps) x (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (*.f64 x eps)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 x))) eps)) (+.f64 (*.f64 -1 x) x)))))
(+.f64 1 (fma.f64 -1 (*.f64 x eps) (+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (fma.f64 -1 (/.f64 (+.f64 1 (fma.f64 -1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 x))) eps) (*.f64 0 x)))))
(+.f64 1 (-.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (/.f64 (-.f64 (-.f64 1 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)) x) eps)) (*.f64 x eps)))
(-.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (*.f64 x eps))) (/.f64 (-.f64 1 (+.f64 x (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)))) eps))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 x))) eps)) (+.f64 (*.f64 -1 x) x)))))
(+.f64 1 (fma.f64 -1 (*.f64 x eps) (+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (fma.f64 -1 (/.f64 (+.f64 1 (fma.f64 -1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 x))) eps) (*.f64 0 x)))))
(+.f64 1 (-.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (/.f64 (-.f64 (-.f64 1 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)) x) eps)) (*.f64 x eps)))
(-.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (*.f64 x eps))) (/.f64 (-.f64 1 (+.f64 x (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)))) eps))
2
(+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps)))) x) 2)
(fma.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps) (neg.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) x 2)
(fma.f64 x (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps) (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 2)
(fma.f64 x (fma.f64 (+.f64 -1 (/.f64 -1 eps)) (-.f64 1 eps) (+.f64 (/.f64 (+.f64 1 eps) eps) (-.f64 -1 eps))) 2)
(+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps)))) x) (+.f64 2 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))))))
(fma.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps) (neg.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) x (+.f64 2 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 eps) 2))))))
(fma.f64 x (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps) (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) (fma.f64 (+.f64 1/2 (*.f64 (/.f64 1 eps) 1/2)) (*.f64 x (*.f64 x (pow.f64 (-.f64 1 eps) 2))) 2))
(fma.f64 x (fma.f64 (+.f64 -1 (/.f64 -1 eps)) (-.f64 1 eps) (+.f64 (/.f64 (+.f64 1 eps) eps) (-.f64 -1 eps))) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 1 eps) eps) (pow.f64 (-.f64 1 eps) 2))) 2))
(+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps)))) x) (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))) (*.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))))))
(+.f64 (fma.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps) (neg.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) x 2) (fma.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 eps) 2))) (*.f64 -1/6 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3))))))
(fma.f64 x (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps) (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) (+.f64 2 (fma.f64 (+.f64 1/2 (*.f64 (/.f64 1 eps) 1/2)) (*.f64 x (*.f64 x (pow.f64 (-.f64 1 eps) 2))) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)) -1/6)))))
(+.f64 (fma.f64 x (fma.f64 (+.f64 -1 (/.f64 -1 eps)) (-.f64 1 eps) (+.f64 (/.f64 (+.f64 1 eps) eps) (-.f64 -1 eps))) 2) (*.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 (*.f64 (*.f64 x (*.f64 x (pow.f64 (-.f64 1 eps) 2))) 1/2) (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)) -1/6))))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 x (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (+.f64 1 eps) (-.f64 (*.f64 x (/.f64 1 eps)) x))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)) (*.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps)))
(+.f64 (fma.f64 x (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (+.f64 1 (/.f64 1 eps)))) (-.f64 1 (/.f64 1 eps)))
(+.f64 (fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (+.f64 1 eps) eps) (-.f64 (/.f64 x eps) (*.f64 x eps))) (+.f64 1 (/.f64 -1 eps)))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)) (*.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps)))
(+.f64 (fma.f64 x (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (+.f64 1 (/.f64 1 eps)))) (-.f64 1 (/.f64 1 eps)))
(+.f64 (fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (+.f64 1 eps) eps) (-.f64 (/.f64 x eps) (*.f64 x eps))) (+.f64 1 (/.f64 -1 eps)))
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(*.f64 (+.f64 1 eps) (-.f64 (*.f64 x (/.f64 1 eps)) x))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(+.f64 (*.f64 x (+.f64 -1 (neg.f64 eps))) (*.f64 x (/.f64 (+.f64 1 eps) eps)))
(*.f64 x (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (+.f64 1 eps) (-.f64 (*.f64 x (/.f64 1 eps)) x))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(-.f64 0 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (-.f64 -1 eps) (-.f64 (*.f64 x (/.f64 1 eps)) x))
(neg.f64 (-.f64 (/.f64 x eps) (*.f64 x eps)))
(-.f64 (fma.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)) x 1) 1)
(*.f64 x (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (+.f64 1 eps) (-.f64 (*.f64 x (/.f64 1 eps)) x))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(/.f64 (-.f64 0 (pow.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 3)) (+.f64 0 (+.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 2) (*.f64 0 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps))) 3)) (+.f64 0 (pow.f64 (*.f64 x (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps))) 2)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 1 eps) (-.f64 (*.f64 x (/.f64 1 eps)) x)) 3)) (pow.f64 (*.f64 (+.f64 1 eps) (-.f64 (*.f64 x (/.f64 1 eps)) x)) 2))
(/.f64 (neg.f64 (-.f64 (/.f64 x eps) (*.f64 x eps))) 1)
(/.f64 (-.f64 0 (pow.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 2)) (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))))
(/.f64 (neg.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps))) 3)) (+.f64 0 (pow.f64 (*.f64 x (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps))) 2)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 1 eps) (-.f64 (*.f64 x (/.f64 1 eps)) x)) 3)) (pow.f64 (*.f64 (+.f64 1 eps) (-.f64 (*.f64 x (/.f64 1 eps)) x)) 2))
(/.f64 (neg.f64 (-.f64 (/.f64 x eps) (*.f64 x eps))) 1)
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (*.f64 x (+.f64 (/.f64 1 eps) -1))) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (*.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (+.f64 -1 (/.f64 1 eps))) (fma.f64 eps eps (-.f64 1 eps)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 eps 3)) (fma.f64 eps eps (-.f64 1 eps))) (-.f64 (*.f64 x (/.f64 1 eps)) x))
(*.f64 (/.f64 (-.f64 (/.f64 x eps) x) (fma.f64 eps eps (-.f64 1 eps))) (+.f64 1 (pow.f64 eps 3)))
(/.f64 (*.f64 (fma.f64 eps eps -1) (*.f64 x (+.f64 (/.f64 1 eps) -1))) (+.f64 eps -1))
(/.f64 (fma.f64 eps eps -1) (/.f64 (+.f64 -1 eps) (*.f64 x (+.f64 -1 (/.f64 1 eps)))))
(*.f64 (/.f64 (fma.f64 eps eps -1) (+.f64 -1 eps)) (-.f64 (*.f64 x (/.f64 1 eps)) x))
(*.f64 (/.f64 (fma.f64 eps eps -1) (+.f64 -1 eps)) (-.f64 (/.f64 x eps) x))
(pow.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 1)
(*.f64 x (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (+.f64 1 eps) (-.f64 (*.f64 x (/.f64 1 eps)) x))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))) 3)
(*.f64 x (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (+.f64 1 eps) (-.f64 (*.f64 x (/.f64 1 eps)) x))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))) 2)
(*.f64 x (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (+.f64 1 eps) (-.f64 (*.f64 x (/.f64 1 eps)) x))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 3) 1/3)
(*.f64 x (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (+.f64 1 eps) (-.f64 (*.f64 x (/.f64 1 eps)) x))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(neg.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (-.f64 -1 eps) (-.f64 (*.f64 x (/.f64 1 eps)) x))
(neg.f64 (-.f64 (/.f64 x eps) (*.f64 x eps)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 2))
(*.f64 x (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (+.f64 1 eps) (-.f64 (*.f64 x (/.f64 1 eps)) x))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)) x))
(*.f64 x (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (+.f64 1 eps) (-.f64 (*.f64 x (/.f64 1 eps)) x))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))))))
(*.f64 x (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (+.f64 1 eps) (-.f64 (*.f64 x (/.f64 1 eps)) x))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 3))
(*.f64 x (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (+.f64 1 eps) (-.f64 (*.f64 x (/.f64 1 eps)) x))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)) 3)))
(*.f64 x (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (+.f64 1 eps) (-.f64 (*.f64 x (/.f64 1 eps)) x))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))))
(*.f64 x (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (+.f64 1 eps) (-.f64 (*.f64 x (/.f64 1 eps)) x))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))))
(*.f64 x (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (+.f64 1 eps) (-.f64 (*.f64 x (/.f64 1 eps)) x))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)))))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 (*.f64 x (+.f64 -1 (/.f64 1 eps))))))
(*.f64 (-.f64 (*.f64 x (/.f64 1 eps)) x) (exp.f64 (log1p.f64 eps)))
(*.f64 (-.f64 (/.f64 x eps) x) (exp.f64 (log1p.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)))) 1))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 (*.f64 x (+.f64 -1 (/.f64 1 eps))))))
(*.f64 (-.f64 (*.f64 x (/.f64 1 eps)) x) (exp.f64 (log1p.f64 eps)))
(*.f64 (-.f64 (/.f64 x eps) x) (exp.f64 (log1p.f64 eps)))

localize35.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 87 to 58 computations (33.3% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite40.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
634×pow1_binary64
590×log1p-expm1-u_binary64
590×expm1-log1p-u_binary64
589×add-log-exp_binary64
576×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067
11275
216705
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 x (+.f64 eps 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x eps) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x x)) (-.f64 (*.f64 x 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 (fma.f64 x eps x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x eps x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x eps x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x eps x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x eps x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x eps x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x eps x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps x x)))))

simplify44.0ms (0.5%)

Algorithm
egg-herbie
Rules
944×fma-neg_binary64
489×times-frac_binary64
385×associate-*l*_binary64
323×log-prod_binary64
316×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
067284
1170283
2595277
33024272
47311272
Stop Event
node limit
Counts
46 → 34
Calls
Call 1
Inputs
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
x
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 x (*.f64 x eps))
(+.f64 (*.f64 x eps) x)
(+.f64 (*.f64 (*.f64 x eps) 1) x)
(-.f64 (+.f64 1 (fma.f64 x eps x)) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x eps) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x x)) (-.f64 (*.f64 x 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 (fma.f64 x eps x) 1)
(pow.f64 (pow.f64 (fma.f64 x eps x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x eps x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x eps x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x eps x) 2))
(log.f64 (exp.f64 (fma.f64 x eps x)))
(cbrt.f64 (pow.f64 (fma.f64 x eps x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x eps x)))
(log1p.f64 (expm1.f64 (fma.f64 x eps x)))
(exp.f64 (log.f64 (fma.f64 x eps x)))
(fma.f64 x eps x)
(fma.f64 eps x x)
Outputs
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
x
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 x (*.f64 x eps))
(fma.f64 eps x x)
(+.f64 (*.f64 x eps) x)
(fma.f64 eps x x)
(+.f64 (*.f64 (*.f64 x eps) 1) x)
(fma.f64 eps x x)
(-.f64 (+.f64 1 (fma.f64 x eps x)) 1)
(fma.f64 eps x x)
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x eps) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)) (fma.f64 (*.f64 eps x) (*.f64 eps x) (*.f64 x (-.f64 x (*.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)) (*.f64 x (+.f64 (-.f64 x (*.f64 eps x)) (*.f64 eps (*.f64 eps x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 eps (*.f64 x x)) (-.f64 eps 1))))
(*.f64 1 (/.f64 (*.f64 x (fma.f64 x (pow.f64 eps 3) x)) (*.f64 x (-.f64 (fma.f64 eps eps 1) eps))))
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x x)) (-.f64 (*.f64 x eps) x))
(fma.f64 eps x x)
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 x (/.f64 (fma.f64 eps eps (-.f64 1 eps)) (+.f64 1 (pow.f64 eps 3))))
(*.f64 (/.f64 x (fma.f64 eps eps (-.f64 1 eps))) (+.f64 1 (pow.f64 eps 3)))
(/.f64 (fma.f64 x (pow.f64 eps 3) x) (-.f64 (fma.f64 eps eps 1) eps))
(/.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 eps -1))
(fma.f64 eps x x)
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 x (/.f64 (fma.f64 eps eps (-.f64 1 eps)) (+.f64 1 (pow.f64 eps 3))))
(*.f64 (/.f64 x (fma.f64 eps eps (-.f64 1 eps))) (+.f64 1 (pow.f64 eps 3)))
(/.f64 (fma.f64 x (pow.f64 eps 3) x) (-.f64 (fma.f64 eps eps 1) eps))
(/.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 eps -1))
(fma.f64 eps x x)
(pow.f64 (fma.f64 x eps x) 1)
(fma.f64 eps x x)
(pow.f64 (pow.f64 (fma.f64 x eps x) 3) 1/3)
(fma.f64 eps x x)
(pow.f64 (cbrt.f64 (fma.f64 x eps x)) 3)
(fma.f64 eps x x)
(pow.f64 (sqrt.f64 (fma.f64 x eps x)) 2)
(fma.f64 eps x x)
(sqrt.f64 (pow.f64 (fma.f64 x eps x) 2))
(fma.f64 eps x x)
(log.f64 (exp.f64 (fma.f64 x eps x)))
(fma.f64 eps x x)
(cbrt.f64 (pow.f64 (fma.f64 x eps x) 3))
(fma.f64 eps x x)
(expm1.f64 (log1p.f64 (fma.f64 x eps x)))
(fma.f64 eps x x)
(log1p.f64 (expm1.f64 (fma.f64 x eps x)))
(fma.f64 eps x x)
(exp.f64 (log.f64 (fma.f64 x eps x)))
(fma.f64 eps x x)
(fma.f64 x eps x)
(fma.f64 eps x x)
(fma.f64 eps x x)

eval357.0ms (4%)

Compiler

Compiled 18829 to 13143 computations (30.2% saved)

prune168.0ms (1.9%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New57810588
Fresh404
Picked101
Done437
Total58713600
Error
0b
Counts
600 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
37.5b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
18.5b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
18.1b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1)) 2)
54.8b
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 1)) 2)
18.6b
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 1)) 2)
0.2b
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
54.8b
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (neg.f64 1)) 2)
15.0b
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
18.5b
(/.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x)))) 2)
61.8b
(/.f64 (*.f64 (neg.f64 eps) x) 2)
18.2b
(/.f64 2 2)
44.8b
(/.f64 0 2)
Compiler

Compiled 338 to 264 computations (21.9% saved)

localize18.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 53 to 32 computations (39.6% saved)

localize33.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiled 17 to 7 computations (58.8% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite45.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

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

simplify50.0ms (0.6%)

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

Useful iterations: 2 (0.0ms)

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

localize18.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 29 to 16 computations (44.8% saved)

series2.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite38.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
437×pow1_binary64
420×add-sqr-sqrt_binary64
414×*-un-lft-identity_binary64
406×add-log-exp_binary64
405×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
1816
210876
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 x (exp.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (exp.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 x (exp.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (exp.f64 (neg.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 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (exp.f64 (neg.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 x) (*.f64 (sqrt.f64 x) (exp.f64 (neg.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 (neg.f64 x) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 x (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 x (sqrt.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 pow.f64 (/.f64 x (exp.f64 x)) 1)))) (#(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 (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 (/.f64 (exp.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (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 (exp.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))))))

simplify40.0ms (0.4%)

Algorithm
egg-herbie
Rules
488×fma-neg_binary64
469×associate-*l*_binary64
412×associate-*r*_binary64
299×fma-def_binary64
233×distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0101296
1237284
2702270
34730270
Stop Event
node limit
Counts
37 → 51
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
(+.f64 0 (/.f64 x (exp.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (exp.f64 x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (exp.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 x (exp.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (exp.f64 x))))))
(-.f64 (+.f64 1 (/.f64 x (exp.f64 x))) 1)
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 x (exp.f64 x)) 1)
(*.f64 1 (/.f64 x (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (exp.f64 (neg.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 x) (*.f64 (sqrt.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) (sqrt.f64 (/.f64 x (exp.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (exp.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) 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 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 x (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 x (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 x (sqrt.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))))
(pow.f64 (/.f64 x (exp.f64 x)) 1)
(pow.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) 2)
(pow.f64 (/.f64 (exp.f64 x) x) -1)
(neg.f64 (/.f64 x (neg.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2))
(log.f64 (exp.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))
Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(*.f64 x (-.f64 1 x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) x))
(fma.f64 1/2 (pow.f64 x 3) (-.f64 x (*.f64 x x)))
(-.f64 (fma.f64 1/2 (pow.f64 x 3) 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)))
(-.f64 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1/6 (pow.f64 x 4) x)) (*.f64 x x))
(+.f64 0 (/.f64 x (exp.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (exp.f64 x))))))
(/.f64 x (exp.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (exp.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 x (exp.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (exp.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (exp.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (exp.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (exp.f64 x))))))
(-.f64 (+.f64 1 (/.f64 x (exp.f64 x))) 1)
(/.f64 x (exp.f64 x))
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (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 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (exp.f64 (neg.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 x) (*.f64 (sqrt.f64 x) (exp.f64 (neg.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 (neg.f64 x) (/.f64 1 (neg.f64 (exp.f64 x))))
(/.f64 x (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) x)
(/.f64 x (exp.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.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 x (exp.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 x (cbrt.f64 (exp.f64 x))))
(/.f64 x (exp.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.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) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (/.f64 x (exp.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))))
(/.f64 x (exp.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 x (sqrt.f64 (exp.f64 x))))
(/.f64 x (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 x (exp.f64 x))
(pow.f64 (/.f64 x (exp.f64 x)) 1)
(/.f64 x (exp.f64 x))
(pow.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) 1/3)
(/.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 (/.f64 (exp.f64 x) x) -1)
(/.f64 x (exp.f64 x))
(neg.f64 (/.f64 x (neg.f64 (exp.f64 x))))
(/.f64 x (exp.f64 x))
(sqrt.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2))
(/.f64 x (exp.f64 x))
(log.f64 (exp.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))

localize18.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 38 to 26 computations (31.6% saved)

localize42.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiled 116 to 75 computations (35.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite43.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
617×pow1_binary64
572×add-log-exp_binary64
572×log1p-expm1-u_binary64
572×expm1-log1p-u_binary64
561×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11227
215107
Stop Event
node limit
Counts
1 → 17
Calls
Call 1
Inputs
(*.f64 (-.f64 1 eps) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (neg.f64 eps)))))) (#(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 /.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(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 (*.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 sqrt.f64 (pow.f64 (*.f64 (-.f64 1 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 cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 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)))))))

simplify38.0ms (0.4%)

Algorithm
egg-herbie
Rules
540×log-prod_binary64
470×fma-def_binary64
372×distribute-rgt-neg-out_binary64
351×distribute-lft-neg-out_binary64
255×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054261
1130239
2394239
31969239
44820239
Stop Event
node limit
Counts
29 → 35
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 x (*.f64 (neg.f64 eps) x))
(+.f64 x (*.f64 x (neg.f64 eps)))
(-.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))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.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)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 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)))
Outputs
x
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(fma.f64 x (neg.f64 eps) x)
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(fma.f64 x (neg.f64 eps) x)
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(fma.f64 x (neg.f64 eps) x)
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(fma.f64 x (neg.f64 eps) x)
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(fma.f64 x (neg.f64 eps) x)
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(fma.f64 x (neg.f64 eps) x)
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(fma.f64 x (neg.f64 eps) x)
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(fma.f64 x (neg.f64 eps) x)
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(fma.f64 x (neg.f64 eps) x)
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 x eps))
(+.f64 x (*.f64 (neg.f64 eps) x))
(fma.f64 -1 (*.f64 x eps) x)
(fma.f64 x (neg.f64 eps) x)
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 x eps))
(+.f64 x (*.f64 x (neg.f64 eps)))
(fma.f64 -1 (*.f64 x eps) x)
(fma.f64 x (neg.f64 eps) x)
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 x eps))
(-.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) 1)
(fma.f64 -1 (*.f64 x eps) x)
(fma.f64 x (neg.f64 eps) x)
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 x eps))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (-.f64 1 (pow.f64 eps 3))))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 eps eps eps))) (-.f64 1 (pow.f64 eps 3)))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 1 (fma.f64 eps eps eps))))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 eps (fma.f64 eps eps 1))))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))
(/.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (+.f64 eps 1) x))
(/.f64 x (/.f64 (+.f64 eps 1) (-.f64 1 (*.f64 eps eps))))
(*.f64 x (/.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 eps 1)))
(*.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 x (+.f64 eps 1)))
(/.f64 (-.f64 x (*.f64 (*.f64 x eps) eps)) (+.f64 eps 1))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (-.f64 1 (pow.f64 eps 3))))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 eps eps eps))) (-.f64 1 (pow.f64 eps 3)))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 1 (fma.f64 eps eps eps))))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 eps (fma.f64 eps eps 1))))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (+.f64 eps 1) x))
(/.f64 x (/.f64 (+.f64 eps 1) (-.f64 1 (*.f64 eps eps))))
(*.f64 x (/.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 eps 1)))
(*.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 x (+.f64 eps 1)))
(/.f64 (-.f64 x (*.f64 (*.f64 x eps) eps)) (+.f64 eps 1))
(pow.f64 (*.f64 (-.f64 1 eps) x) 1)
(fma.f64 -1 (*.f64 x eps) x)
(fma.f64 x (neg.f64 eps) x)
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 x eps))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3) 1/3)
(fma.f64 -1 (*.f64 x eps) x)
(fma.f64 x (neg.f64 eps) x)
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 x eps))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 3)
(fma.f64 -1 (*.f64 x eps) x)
(fma.f64 x (neg.f64 eps) x)
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 x eps))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x)) 2)
(fma.f64 -1 (*.f64 x eps) x)
(fma.f64 x (neg.f64 eps) x)
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 x eps))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2))
(fma.f64 -1 (*.f64 x eps) x)
(fma.f64 x (neg.f64 eps) x)
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 x eps))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 -1 (*.f64 x eps) x)
(fma.f64 x (neg.f64 eps) x)
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 x eps))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))
(fma.f64 -1 (*.f64 x eps) x)
(fma.f64 x (neg.f64 eps) x)
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 x eps))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))
(fma.f64 -1 (*.f64 x eps) x)
(fma.f64 x (neg.f64 eps) x)
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 x eps))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 eps) x)))
(fma.f64 -1 (*.f64 x eps) x)
(fma.f64 x (neg.f64 eps) x)
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 x eps))
(exp.f64 (log.f64 (*.f64 (-.f64 1 eps) x)))
(fma.f64 -1 (*.f64 x eps) x)
(fma.f64 x (neg.f64 eps) x)
(fma.f64 eps (neg.f64 x) x)
(-.f64 x (*.f64 x eps))

eval101.0ms (1.1%)

Compiler

Compiled 4955 to 3135 computations (36.7% saved)

prune54.0ms (0.6%)

Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New2706276
Fresh055
Picked101
Done167
Total27217289
Error
0b
Counts
289 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
37.5b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
18.5b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
18.1b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1)) 2)
54.8b
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 1)) 2)
18.6b
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 1)) 2)
0.2b
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
54.8b
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (neg.f64 1)) 2)
55.2b
(/.f64 (-.f64 (*.f64 x (-.f64 1 x)) (neg.f64 1)) 2)
15.0b
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
55.0b
(/.f64 (-.f64 x (neg.f64 1)) 2)
18.4b
(/.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (neg.f64 eps)))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x)))) 2)
18.2b
(/.f64 2 2)
44.8b
(/.f64 0 2)
61.8b
(*.f64 (/.f64 eps 2) x)
61.8b
(*.f64 (*.f64 eps x) -1/2)
62.4b
(exp.f64 (log.f64 (*.f64 eps (*.f64 x 1/2))))
Compiler

Compiled 218 to 171 computations (21.6% saved)

regimes56.0ms (0.6%)

Counts
34 → 1
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(*.f64 (*.f64 eps x) -1/2)
(*.f64 (/.f64 eps 2) x)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (-.f64 x (neg.f64 1)) 2)
(/.f64 (-.f64 (*.f64 x (-.f64 1 x)) (neg.f64 1)) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 1)) 2)
(/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2) 2)
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 1)) 2)
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (neg.f64 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 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 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (neg.f64 eps)))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x)))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps))) x)) 1))) 2)
(exp.f64 (log.f64 (*.f64 eps (*.f64 x 1/2))))
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 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 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) 2)
(/.f64 (-.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3))) (fma.f64 -1/8 (pow.f64 x 4) 1)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.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))))) 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

4 calls:

17.0ms
x
17.0ms
eps
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
0.2b1x
0.2b1eps
0.2b1(/.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)
0.2b1(-.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 603 to 424 computations (29.7% saved)

regimes117.0ms (1.3%)

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

2 calls:

66.0ms
eps
41.0ms
x
Results
ErrorSegmentsBranch
0.8b2x
13.1b3eps
Compiler

Compiled 318 to 225 computations (29.2% saved)

bsearch70.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
70.0ms
0.3649577923007627
364.94341223936954
Results
47.0ms84×body1024valid
10.0ms22×body512valid
5.0ms31×body256infinite
4.0msbody2048valid
3.0ms17×body256valid
Compiler

Compiled 340 to 261 computations (23.2% saved)

regimes109.0ms (1.2%)

Counts
21 → 2
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(*.f64 (*.f64 eps x) -1/2)
(*.f64 (/.f64 eps 2) x)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (-.f64 x (neg.f64 1)) 2)
(/.f64 (-.f64 (*.f64 x (-.f64 1 x)) (neg.f64 1)) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 1)) 2)
(/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2) 2)
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 1)) 2)
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (neg.f64 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 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 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (neg.f64 eps)))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x)))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps))) x)) 1))) 2)
(exp.f64 (log.f64 (*.f64 eps (*.f64 x 1/2))))
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
Outputs
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 0 2)
Calls

2 calls:

81.0ms
eps
21.0ms
x
Results
ErrorSegmentsBranch
0.9b2x
15.3b5eps
Compiler

Compiled 274 to 200 computations (27% saved)

bsearch74.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
73.0ms
0.3649577923007627
364.94341223936954
Results
48.0ms79×body1024valid
8.0ms11×body2048valid
6.0ms21×body512valid
6.0ms39×body256infinite
3.0ms17×body256valid
Compiler

Compiled 252 to 213 computations (15.5% saved)

regimes62.0ms (0.7%)

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

2 calls:

41.0ms
eps
17.0ms
x
Results
ErrorSegmentsBranch
0.9b2x
15.3b5eps
Compiler

Compiled 134 to 101 computations (24.6% saved)

bsearch70.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
69.0ms
0.3649577923007627
364.94341223936954
Results
44.0ms78×body1024valid
9.0ms21×body512valid
7.0ms44×body256infinite
4.0ms24×body256valid
4.0msbody2048valid
Compiler

Compiled 244 to 205 computations (16% saved)

regimes57.0ms (0.6%)

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

2 calls:

39.0ms
eps
14.0ms
x
Results
ErrorSegmentsBranch
0.9b2x
15.3b5eps
Compiler

Compiled 117 to 90 computations (23.1% saved)

bsearch62.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
62.0ms
0.3649577923007627
364.94341223936954
Results
38.0ms72×body1024valid
6.0ms20×body512valid
6.0ms39×body256infinite
5.0ms32×body256valid
3.0msbody2048valid
Compiler

Compiled 196 to 173 computations (11.7% saved)

regimes54.0ms (0.6%)

Counts
11 → 2
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(*.f64 (*.f64 eps x) -1/2)
(*.f64 (/.f64 eps 2) x)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (-.f64 x (neg.f64 1)) 2)
(/.f64 (-.f64 (*.f64 x (-.f64 1 x)) (neg.f64 1)) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 1)) 2)
(/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2) 2)
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 1)) 2)
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (neg.f64 1)) 2)
Outputs
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 1)) 2)
(/.f64 0 2)
Calls

2 calls:

37.0ms
eps
13.0ms
x
Results
ErrorSegmentsBranch
1.0b2x
15.3b5eps
Compiler

Compiled 94 to 74 computations (21.3% saved)

bsearch75.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
74.0ms
0.3649577923007627
364.94341223936954
Results
49.0ms80×body1024valid
8.0ms51×body256infinite
6.0msbody2048valid
6.0ms18×body512valid
4.0ms22×body256valid
Compiler

Compiled 204 to 181 computations (11.3% saved)

regimes36.0ms (0.4%)

Accuracy

Total -61.6b remaining (-6165.2%)

Threshold costs -61.6b (-6165.2%)

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

2 calls:

23.0ms
eps
11.0ms
x
Results
ErrorSegmentsBranch
1.0b2x
15.3b5eps
Compiler

Compiled 46 to 35 computations (23.9% saved)

bsearch67.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
66.0ms
0.3649577923007627
364.94341223936954
Results
34.0ms67×body1024valid
11.0ms31×body512valid
10.0ms47×body256infinite
6.0ms25×body256valid
4.0msbody2048valid
Compiler

Compiled 132 to 125 computations (5.3% saved)

simplify19.0ms (0.2%)

Algorithm
egg-herbie
Rules
68×cancel-sign-sub-inv_binary64
62×distribute-rgt-neg-in_binary64
41×distribute-lft-neg-in_binary64
39×sub-neg_binary64
37×neg-sub0_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050203
184193
2151193
3248193
4348193
5402193
6462193
7514193
8530193
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 2476979795053773/2251799813685248) (/.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 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2))
(if (<=.f64 x 7/4) (/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 0 2))
(if (<=.f64 x 7/4) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2) (/.f64 0 2))
(if (<=.f64 x 360) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1)) 2) (/.f64 0 2))
(if (<=.f64 x 2) (/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 1)) 2) (/.f64 0 2))
(if (<=.f64 x 360) (/.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 (+.f64 x 1) (exp.f64 x))) 2)
(if (<=.f64 x 2476979795053773/2251799813685248) (/.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 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2))
(if (<=.f64 x 2476979795053773/2251799813685248) (/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (*.f64 (neg.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x)))) 2) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x))) 2))
(if (<=.f64 x 2476979795053773/2251799813685248) (/.f64 (+.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2) (/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (/.f64 x (exp.f64 x))) 2))
(if (<=.f64 x 7/4) (/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 0 2))
(if (<=.f64 x 7/4) (/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (*.f64 (neg.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x)))) 2) 0)
(if (<=.f64 x 7/4) (/.f64 (+.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2) 0)
(if (<=.f64 x 7/4) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2) (/.f64 0 2))
(if (<=.f64 x 7/4) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (+.f64 -1 (neg.f64 (*.f64 -1/2 (*.f64 x x))))) 2) 0)
(if (<=.f64 x 7/4) (/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))) 2) 0)
(if (<=.f64 x 360) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1)) 2) (/.f64 0 2))
(if (<=.f64 x 360) (/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) 1) 2) 0)
(if (<=.f64 x 360) (/.f64 (+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x))) 2) 0)
(if (<=.f64 x 2) (/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 1)) 2) (/.f64 0 2))
(if (<=.f64 x 2) (/.f64 (+.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) 1) 2) 0)
(if (<=.f64 x 2) (/.f64 (+.f64 1 (+.f64 1 (*.f64 -1/2 (*.f64 x x)))) 2) 0)
(if (<=.f64 x 360) (/.f64 2 2) (/.f64 0 2))
(if (<=.f64 x 360) 1 0)
(/.f64 0 2)
0
Compiler

Compiled 146 to 114 computations (21.9% saved)

soundness195.0ms (2.2%)

Algorithm
egg-herbie
Rules
750×times-frac_binary64
694×fma-neg_binary64
642×times-frac_binary64
534×cancel-sign-sub-inv_binary64
519×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02045
15745
215937
354137
4169737
067014682
1181413600
2620813579
Stop Event
node limit
node limit
Compiler

Compiled 368 to 288 computations (21.7% saved)

end73.0ms (0.8%)

Compiler

Compiled 132 to 92 computations (30.3% saved)

Profiling

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