ENA, Section 1.4, Exercise 4d

Time bar (total: 8.7s)

analyze18.0ms (0.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%12.8%87.2%0%0%0%0
0%0%12.8%87.2%0%0%0%1
0%0%12.8%87.2%0%0%0%2
50%6.4%6.4%87.2%0%0%0%3
57.1%6.4%4.8%87.2%0%1.6%0%4
69.2%7.2%3.2%87.2%0%2.4%0%5
75%7.2%2.4%87.2%0%3.2%0%6
82.6%7.6%1.6%87.2%0%3.6%0%7
86.4%7.6%1.2%87.2%0%4%0%8
90.7%7.8%0.8%87.2%0%4.2%0%9
92.6%7.8%0.6%87.2%0%4.4%0%10
95%7.9%0.4%87.2%0%4.5%0%11
96.3%8%0.3%87.2%0%4.5%0%12
Compiler

Compiled 25 to 17 computations (32% saved)

sample1.4s (16%)

Results
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Bogosity

preprocess160.0ms (1.8%)

Algorithm
egg-herbie
Rules
440×fma-neg
250×fma-define
108×sub-neg
58×cancel-sign-sub-inv
58×unsub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1190-1(5.690519852798952e-23 1.2957767594659073e-46)(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
00-0-x
00-0-(*.f64 x x)
00-0-(-.f64 (*.f64 x x) eps)
00-0-(sqrt.f64 (-.f64 (*.f64 x x) eps))
00-0-eps
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027269
160253
2140241
3357241
4689241
5926241
6962241
7968241
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) (neg.f64 eps))))
(neg.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) eps))))
(neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) (neg.f64 eps)))))
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x)))
Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) eps)))
(-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) (neg.f64 eps))))
(-.f64 x (sqrt.f64 (fma.f64 x x eps)))
(neg.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) eps))))
(neg.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) (neg.f64 eps)))))
(+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x eps)))
(-.f64 (sqrt.f64 (fma.f64 x x eps)) x)
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x)))
Compiler

Compiled 64 to 20 computations (68.8% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
58.3%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 10 to 6 computations (40% saved)

localize39.0ms (0.4%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (*.f64 x x) eps)
100.0%
(sqrt.f64 (-.f64 (*.f64 x x) eps))
58.3%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 27 to 7 computations (74.1% saved)

series14.0ms (0.2%)

Counts
3 → 58
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
1.0ms
eps
@0
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
1.0ms
x
@0
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
1.0ms
x
@0
(sqrt.f64 (-.f64 (*.f64 x x) eps))
1.0ms
x
@-inf
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

rewrite241.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
1328×unpow-prod-down
922×fma-define
759×log1p-expm1-u
759×expm1-log1p-u
668×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01274
115074
2211470
Stop Event
node limit
Counts
3 → 316
Calls
Call 1
Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(-.f64 (*.f64 x x) eps)
Outputs
(+.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 x (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (-.f64 (pow.f64 x 2) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) x)
(+.f64 0 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1)
(*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (log.f64 (exp.f64 1)))
(*.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(*.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2))
(*.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 2))
(*.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (pow.f64 x 2) eps) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (pow.f64 x 2) eps)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (pow.f64 x 2) eps) 3/2)) (pow.f64 (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (pow.f64 x 2) eps)))) 1))
(*.f64 (+.f64 (-.f64 (pow.f64 x 2) (pow.f64 x 2)) eps) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 (+.f64 (-.f64 (pow.f64 x 2) (pow.f64 x 2)) eps) (pow.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (pow.f64 x 2) eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (pow.f64 x 2) eps) 1/4)))
(*.f64 (pow.f64 1 1/3) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (pow.f64 x 2) eps) 1/4)) 1) (pow.f64 (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (pow.f64 x 2) eps) 1/4)) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (cbrt.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2) 1/3) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 (pow.f64 (*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 1/3) (pow.f64 (*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) 1/3) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 1/3) (pow.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 2))
(/.f64 1 (/.f64 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (pow.f64 x 2) eps))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (pow.f64 x 2) eps) 3/2))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (pow.f64 x 2) (pow.f64 x 2)) eps)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (pow.f64 x 2) eps) 3/2)) (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (pow.f64 x 2) eps))))
(/.f64 (+.f64 (-.f64 (pow.f64 x 2) (pow.f64 x 2)) eps) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (pow.f64 x 2) eps) 3/2))) (neg.f64 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (pow.f64 x 2) eps)))))
(/.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 x 2) (pow.f64 x 2)) eps)) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 -1 (pow.f64 (-.f64 (pow.f64 x 2) eps) 3/2))) (fma.f64 x x (-.f64 (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (*.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (-.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1)
(pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 3)
(pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)
(pow.f64 (/.f64 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (pow.f64 x 2) eps))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (pow.f64 x 2) eps) 3/2))) -1)
(pow.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (pow.f64 x 2) (pow.f64 x 2)) eps)) -1)
(sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2))
(log.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
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(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 eps) 1))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (pow.f64 (-.f64 (pow.f64 x 2) eps) 1/4)) (pow.f64 (-.f64 (pow.f64 x 2) eps) 1/4) (fma.f64 (neg.f64 eps) 1 eps))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (pow.f64 (-.f64 (pow.f64 x 2) eps) 1/4)) (pow.f64 (-.f64 (pow.f64 x 2) eps) 1/4) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (pow.f64 (-.f64 (pow.f64 x 2) eps) 1/4)) (pow.f64 (-.f64 (pow.f64 x 2) eps) 1/4) (+.f64 (neg.f64 eps) eps))
(fma.f64 (sqrt.f64 (neg.f64 eps)) (sqrt.f64 (neg.f64 eps)) (pow.f64 x 2))
(fma.f64 -1 eps (pow.f64 x 2))
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 eps) 1 eps))
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (pow.f64 x 2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 eps))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 eps) 1))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x 2) eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 eps) 1 eps))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x 2) eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x 2) eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (neg.f64 eps) eps))

simplify305.0ms (3.5%)

Algorithm
egg-herbie
Rules
936×associate-*r*
860×associate-*l*
782×log-prod
770×exp-prod
540×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074618381
1184616952
2643316740
Stop Event
node limit
Counts
374 → 477
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(+.f64 x (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(+.f64 x (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 x (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 eps 4)) (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2)) (pow.f64 x 7))))))
(*.f64 2 x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 2 x)))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 2 x))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2))) x)))))
x
x
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))))
x
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))))
x
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 -1 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(*.f64 -1 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(*.f64 -1 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 x (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (-.f64 (pow.f64 x 2) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) x)
(+.f64 0 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1)
(*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (log.f64 (exp.f64 1)))
(*.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(*.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2))
(*.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 2))
(*.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (pow.f64 x 2) eps) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (pow.f64 x 2) eps)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (pow.f64 x 2) eps) 3/2)) (pow.f64 (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (pow.f64 x 2) eps)))) 1))
(*.f64 (+.f64 (-.f64 (pow.f64 x 2) (pow.f64 x 2)) eps) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 (+.f64 (-.f64 (pow.f64 x 2) (pow.f64 x 2)) eps) (pow.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (pow.f64 x 2) eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (pow.f64 x 2) eps) 1/4)))
(*.f64 (pow.f64 1 1/3) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (pow.f64 x 2) eps) 1/4)) 1) (pow.f64 (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (pow.f64 x 2) eps) 1/4)) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (cbrt.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2) 1/3) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 (pow.f64 (*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 1/3) (pow.f64 (*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) 1/3) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 1/3) (pow.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 2))
(/.f64 1 (/.f64 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (pow.f64 x 2) eps))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (pow.f64 x 2) eps) 3/2))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (pow.f64 x 2) (pow.f64 x 2)) eps)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (pow.f64 x 2) eps) 3/2)) (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (pow.f64 x 2) eps))))
(/.f64 (+.f64 (-.f64 (pow.f64 x 2) (pow.f64 x 2)) eps) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (pow.f64 x 2) eps) 3/2))) (neg.f64 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (pow.f64 x 2) eps)))))
(/.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 x 2) (pow.f64 x 2)) eps)) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 -1 (pow.f64 (-.f64 (pow.f64 x 2) eps) 3/2))) (fma.f64 x x (-.f64 (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (*.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (-.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1)
(pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 3)
(pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)
(pow.f64 (/.f64 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (pow.f64 x 2) eps))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (pow.f64 x 2) eps) 3/2))) -1)
(pow.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (pow.f64 x 2) (pow.f64 x 2)) eps)) -1)
(sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2))
(log.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (exp.f64 x)))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (+.f64 1 (expm1.f64 x))))
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(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 eps) 1 eps))
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (pow.f64 x 2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 eps))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 eps) 1))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x 2) eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 eps) 1 eps))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x 2) eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x 2) eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (neg.f64 eps) eps))
Outputs
(*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)))
(+.f64 x (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(+.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 -1)) x)
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(+.f64 x (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 x (fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (pow.f64 x 2)) (sqrt.f64 -1)))))
(+.f64 (-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) -1/2)))
(+.f64 x (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(+.f64 x (fma.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (fma.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (pow.f64 x 2)) (sqrt.f64 -1)) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(+.f64 (-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) -1/2))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 eps 4)) (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2)) (pow.f64 x 7))))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 1/2 (+.f64 (/.f64 eps x) (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (pow.f64 (*.f64 (pow.f64 eps 2) -1/8) 2)) (pow.f64 x 7))))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 1/2 (+.f64 (/.f64 eps x) (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (*.f64 (pow.f64 eps 4) 1/64)) (pow.f64 x 7))))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 2 x)))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 x 2)))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8 (*.f64 x 2)))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 2 x))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 x 2))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8 (fma.f64 x 2 (*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2))) x)))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 1/2 (+.f64 (/.f64 eps x) (/.f64 (*.f64 (pow.f64 eps 4) (+.f64 (/.f64 1/16 (pow.f64 x 6)) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2))) x)))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/2 (+.f64 (/.f64 eps x) (*.f64 (+.f64 (/.f64 1/16 (pow.f64 x 6)) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2)) (/.f64 (pow.f64 eps 4) x))) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
x
x
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (pow.f64 x 2)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 eps)) 1/2)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (pow.f64 x 2)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (*.f64 -1 (sqrt.f64 -1)))) -1/8 (fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 eps)) 1/2))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (pow.f64 x 2)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (*.f64 -1 (sqrt.f64 -1)))) -1/8 (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 eps)) 1/2)))))
x
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (/.f64 (*.f64 -1/2 eps) x))
(fma.f64 -1/2 (/.f64 eps x) x)
(+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 x (fma.f64 -1/2 (/.f64 eps x) (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)))
(+.f64 x (fma.f64 -1/2 (/.f64 eps x) (*.f64 (pow.f64 eps 2) (/.f64 -1/8 (pow.f64 x 3)))))
(+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(+.f64 x (fma.f64 -1/2 (/.f64 eps x) (fma.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16))))
(+.f64 (fma.f64 -1/2 (/.f64 eps x) x) (fma.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8 (*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 -1 x (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (neg.f64 x))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(fma.f64 -1 x (fma.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))))
(-.f64 (fma.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))))
(fma.f64 -1 x (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))))
(-.f64 (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))) x)
x
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (/.f64 (*.f64 -1/2 eps) x))
(fma.f64 -1/2 (/.f64 eps x) x)
(+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 x (fma.f64 -1/2 (/.f64 eps x) (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)))
(+.f64 x (fma.f64 -1/2 (/.f64 eps x) (*.f64 (pow.f64 eps 2) (/.f64 -1/8 (pow.f64 x 3)))))
(+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(+.f64 x (fma.f64 -1/2 (/.f64 eps x) (fma.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16))))
(+.f64 (fma.f64 -1/2 (/.f64 eps x) x) (fma.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8 (*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16)))
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) eps)
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) eps)
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) eps)
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) eps)
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) eps)
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) eps)
(+.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(+.f64 x (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1))
(-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) 0))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (-.f64 (pow.f64 x 2) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) 0))
(+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) x)
(-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(+.f64 0 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1)
(-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
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(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) eps)) (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 4) (*.f64 0 eps))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x 2) eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) eps)) (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) eps)) (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 4) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) eps)) (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 4) (+.f64 eps (neg.f64 (pow.f64 (cbrt.f64 eps) 3))))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x 2) eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (neg.f64 eps) eps))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) eps)) (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (+.f64 eps (neg.f64 eps)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x 2) eps)) (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 4) (*.f64 0 eps))

eval232.0ms (2.7%)

Compiler

Compiled 9401 to 4742 computations (49.6% saved)

prune83.0ms (1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New4698477
Fresh000
Picked011
Done000
Total4699478
Accuracy
100.0%
Counts
478 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
56.2%
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
7.4%
(-.f64 x (+.f64 x (/.f64 (*.f64 -1/2 eps) x)))
58.3%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
52.2%
(-.f64 x (sqrt.f64 (neg.f64 eps)))
42.2%
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
75.7%
(*.f64 (+.f64 eps 0) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
48.5%
(*.f64 1/2 (/.f64 eps x))
3.5%
x
Compiler

Compiled 170 to 118 computations (30.6% saved)

localize177.0ms (2%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
66.9%
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
100.0%
(hypot.f64 (sqrt.f64 (neg.f64 eps)) x)
80.0%
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
100.0%
(/.f64 (*.f64 -1/2 eps) x)
100.0%
(+.f64 x (/.f64 (*.f64 -1/2 eps) x))
80.0%
(-.f64 x (+.f64 x (/.f64 (*.f64 -1/2 eps) x)))
100.0%
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
100.0%
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
99.6%
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
Compiler

Compiled 129 to 58 computations (55% saved)

series56.0ms (0.6%)

Counts
10 → 160
Calls

60 calls:

TimeVariablePointExpression
2.0ms
x
@0
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
2.0ms
x
@-inf
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
2.0ms
eps
@0
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
2.0ms
eps
@0
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
2.0ms
x
@inf
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))

rewrite149.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
358×associate-*r*
240×associate-*l*
233×add-cube-cbrt
232×log1p-expm1-u
232×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031301
1501265
Stop Event
node limit
Counts
10 → 373
Calls
Call 1
Inputs
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (+.f64 x (/.f64 (*.f64 -1/2 eps) x)))
(+.f64 x (/.f64 (*.f64 -1/2 eps) x))
(/.f64 (*.f64 -1/2 eps) x)
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
(hypot.f64 (sqrt.f64 (neg.f64 eps)) x)
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) 1)
(-.f64 (/.f64 0 (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 eps (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 eps (/.f64 1 (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 1)
(*.f64 1 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (cbrt.f64 eps) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (cbrt.f64 eps) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (sqrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) eps)
(*.f64 -1 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) 3))) (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (-.f64 (hypot.f64 x (sqrt.f64 eps)) x))))
(*.f64 (/.f64 eps (-.f64 (pow.f64 x 2) (fma.f64 x x eps))) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 1)
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) 3)
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) 2)
(pow.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps) -1)
(neg.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (/.f64 (fma.f64 x x eps) (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 1)
(*.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2) (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (-.f64 (hypot.f64 x (sqrt.f64 eps)) x)))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x eps)) (/.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (-.f64 (hypot.f64 x (sqrt.f64 eps)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (-.f64 (pow.f64 x 2) (fma.f64 x x eps))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) 3)) (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (-.f64 (hypot.f64 x (sqrt.f64 eps)) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) 3)) (+.f64 (fma.f64 x x eps) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x eps)) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (-.f64 (hypot.f64 x (sqrt.f64 eps)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x eps))) (neg.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 (-.f64 (fma.f64 x x eps) (pow.f64 x 2)) (-.f64 (hypot.f64 x (sqrt.f64 eps)) x))
(pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 1))
(fma.f64 1 x (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 1 (hypot.f64 x (sqrt.f64 eps)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x eps)) (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 eps)))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 eps)) 1)
(*.f64 1 (hypot.f64 x (sqrt.f64 eps)))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))) (cbrt.f64 (fma.f64 x x eps)))
(*.f64 (cbrt.f64 (fma.f64 x x eps)) (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))))
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))))
(pow.f64 (hypot.f64 x (sqrt.f64 eps)) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))) 3)
(pow.f64 (fma.f64 x x eps) 1/2)
(pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))) 2)
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 eps)) 3) 1/3)
(sqrt.f64 (fma.f64 x x eps))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 eps)))))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 eps)) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 eps))))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 eps))))
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))) 1))
(+.f64 x (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)))
(+.f64 x (*.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1))
(+.f64 (+.f64 0 (*.f64 eps (/.f64 -1/2 x))) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x)))
(+.f64 (+.f64 0 (*.f64 eps (/.f64 -1/2 x))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x)))
(+.f64 (+.f64 0 (*.f64 eps (/.f64 -1/2 x))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x)))
(+.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) x)
(+.f64 0 (*.f64 eps (/.f64 -1/2 x)))
(+.f64 0 (*.f64 -1 (*.f64 eps (/.f64 -1/2 x))))
(+.f64 0 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) 2)) (cbrt.f64 (*.f64 eps (/.f64 -1/2 x)))))
(+.f64 0 (*.f64 (neg.f64 (sqrt.f64 (*.f64 eps (/.f64 -1/2 x)))) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x)))))
(*.f64 (+.f64 0 (*.f64 eps (/.f64 -1/2 x))) 1)
(*.f64 1 (+.f64 0 (*.f64 eps (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (+.f64 0 (*.f64 eps (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 0 (*.f64 eps (/.f64 -1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 0 (*.f64 eps (/.f64 -1/2 x)))) 2) (cbrt.f64 (+.f64 0 (*.f64 eps (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (+.f64 0 (*.f64 eps (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 0 (*.f64 eps (/.f64 -1/2 x)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 -1/2 (/.f64 eps x) x) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2)) (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))))
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(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 eps)))))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 eps)) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 eps))))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 eps))))
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)))) 1)
(*.f64 eps (/.f64 eps (pow.f64 x 3)))
(*.f64 eps (*.f64 eps (pow.f64 x -3)))
(*.f64 (pow.f64 eps 2) (pow.f64 x -3))
(*.f64 (pow.f64 eps 2) (/.f64 1 (neg.f64 (pow.f64 x 3))))
(*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1)
(*.f64 (/.f64 eps x) (/.f64 eps (pow.f64 x 2)))
(*.f64 1 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 x 3)))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 x -3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) x) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) x) 2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) x) 2) (/.f64 (pow.f64 (cbrt.f64 eps) 2) x))
(*.f64 (/.f64 eps (pow.f64 x 3/2)) (/.f64 eps (pow.f64 x 3/2)))
(*.f64 (pow.f64 x -3) (pow.f64 eps 2))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 eps x) 2))
(*.f64 (/.f64 eps (pow.f64 x 2)) (/.f64 eps x))
(*.f64 (/.f64 eps 1) (/.f64 eps (pow.f64 x 3)))
(*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 eps 2) x))
(*.f64 (/.f64 1 (pow.f64 x 3/2)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) x) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 x 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 x 2)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) 1) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 x 3)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 x 3/2)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 x 3/2)))
(pow.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1)
(pow.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) x) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 3) 1/3)
(pow.f64 (/.f64 eps (pow.f64 x 3/2)) 2)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 eps 2)) -1)
(neg.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)))
(sqrt.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) (pow.f64 x -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 eps 2) 3) (pow.f64 (pow.f64 x 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3))) 1))
(-.f64 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)) (*.f64 eps (/.f64 -1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))))) 1)
(-.f64 (/.f64 (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/64) (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))) (/.f64 (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2) (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))))
(*.f64 1 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))) 2) (cbrt.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))) 2) (/.f64 1 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))) (sqrt.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)) 3) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3)) (/.f64 1 (+.f64 (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/64) (*.f64 (*.f64 eps (/.f64 -1/2 x)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)))))))
(*.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))) 1)
(*.f64 (+.f64 (*.f64 (/.f64 eps (pow.f64 x 3/2)) (sqrt.f64 1/8)) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x)))) (-.f64 (*.f64 (/.f64 eps (pow.f64 x 3/2)) (sqrt.f64 1/8)) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/64) (*.f64 (*.f64 eps (/.f64 -1/2 x)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8))))) (+.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)) 3) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))) (pow.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))) 2)))
(/.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))) 2) (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)) 3) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/64) (*.f64 (*.f64 eps (/.f64 -1/2 x)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)) 3) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3)) (+.f64 (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2) (-.f64 (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/64) (*.f64 (*.f64 eps (/.f64 -1/2 x)) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8))))))
(/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 eps 2) 1/8) x) (*.f64 (pow.f64 x 3) (*.f64 eps -1/2))) (*.f64 (pow.f64 x 3) x))
(/.f64 (+.f64 (*.f64 (*.f64 eps -1/2) (pow.f64 x 3)) (*.f64 x (*.f64 (pow.f64 eps 2) 1/8))) (*.f64 x (pow.f64 x 3)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps 2) 1/8) x) (*.f64 (pow.f64 x 3) (*.f64 eps -1/2))) (*.f64 (pow.f64 x 3) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)) 3) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3))) (neg.f64 (+.f64 (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/64) (*.f64 (*.f64 eps (/.f64 -1/2 x)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))) 2)) (neg.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)) 3) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/64) (+.f64 (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2) (*.f64 (*.f64 eps (/.f64 -1/2 x)) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2) (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/64)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8))))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))) 2)
(pow.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))) 1)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))))))
(log.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) (pow.f64 x -3)) 1/8) (exp.f64 (*.f64 eps (/.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))) 1))
(fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 1/8 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)))
(fma.f64 (/.f64 eps x) 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)))
(fma.f64 1 (*.f64 eps (/.f64 -1/2 x)) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)))
(fma.f64 1 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) 2) (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/8)) x) 2) (/.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/8)) x) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)))
(fma.f64 (*.f64 (/.f64 eps (pow.f64 x 3/2)) (sqrt.f64 1/8)) (*.f64 (/.f64 eps (pow.f64 x 3/2)) (sqrt.f64 1/8)) (*.f64 eps (/.f64 -1/2 x)))

simplify338.0ms (3.9%)

Algorithm
egg-herbie
Rules
1200×associate-*r*
1170×fma-define
822×times-frac
360×associate-+r+
360×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092525674
1244922569
Stop Event
node limit
Counts
533 → 555
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 7)))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (*.f64 1/2 (/.f64 eps x)))))
(*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))) (*.f64 (pow.f64 x 3) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 eps (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1)))))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/128 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 6))) (*.f64 1/32 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 6)))) (pow.f64 x 7))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (*.f64 1/2 (/.f64 eps x)))))
(*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/2 (/.f64 eps x)))
(+.f64 (*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))))))
(+.f64 (*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4))) 2)) (*.f64 eps (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 4))))) (+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 eps (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)))))) (pow.f64 x 5))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3)))))))))
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
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x
x
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(/.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))) 2) (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)) 3) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/64) (*.f64 (*.f64 eps (/.f64 -1/2 x)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)) 3) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3)) (+.f64 (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2) (-.f64 (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/64) (*.f64 (*.f64 eps (/.f64 -1/2 x)) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8))))))
(/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 eps 2) 1/8) x) (*.f64 (pow.f64 x 3) (*.f64 eps -1/2))) (*.f64 (pow.f64 x 3) x))
(/.f64 (+.f64 (*.f64 (*.f64 eps -1/2) (pow.f64 x 3)) (*.f64 x (*.f64 (pow.f64 eps 2) 1/8))) (*.f64 x (pow.f64 x 3)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps 2) 1/8) x) (*.f64 (pow.f64 x 3) (*.f64 eps -1/2))) (*.f64 (pow.f64 x 3) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)) 3) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3))) (neg.f64 (+.f64 (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/64) (*.f64 (*.f64 eps (/.f64 -1/2 x)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))) 2)) (neg.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)) 3) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/64) (+.f64 (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2) (*.f64 (*.f64 eps (/.f64 -1/2 x)) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2) (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/64)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8))))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))) 2)
(pow.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))) 1)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))))))
(log.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) (pow.f64 x -3)) 1/8) (exp.f64 (*.f64 eps (/.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))) 1))
(fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 1/8 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)))
(fma.f64 (/.f64 eps x) 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)))
(fma.f64 1 (*.f64 eps (/.f64 -1/2 x)) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)))
(fma.f64 1 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) 2) (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/8)) x) 2) (/.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/8)) x) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)))
(fma.f64 (*.f64 (/.f64 eps (pow.f64 x 3/2)) (sqrt.f64 1/8)) (*.f64 (/.f64 eps (pow.f64 x 3/2)) (sqrt.f64 1/8)) (*.f64 eps (/.f64 -1/2 x)))
Outputs
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 -1/8 (*.f64 (pow.f64 eps 2) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) 1/8 (/.f64 (*.f64 1/2 eps) x))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (*.f64 1/2 (/.f64 eps x))))
(fma.f64 -1/8 (*.f64 (pow.f64 eps 2) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))) (fma.f64 1/16 (*.f64 (pow.f64 eps 3) (/.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 5))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) 1/8) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 7)))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (*.f64 1/2 (/.f64 eps x)))))
(fma.f64 -1 (*.f64 (pow.f64 eps 4) (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 7)) 5/128)) (fma.f64 -1/8 (*.f64 (pow.f64 eps 2) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))) (fma.f64 1/16 (*.f64 (pow.f64 eps 3) (/.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 5))) (*.f64 1/2 (/.f64 eps x)))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 eps 4)) (*.f64 (/.f64 -1 (pow.f64 x 7)) 5/128) (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) 1/8)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))
(*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))))
(fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x 1))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))))
(fma.f64 -1 (*.f64 (pow.f64 x 2) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2)) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x 1)) (*.f64 (*.f64 (pow.f64 x 2) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) -1)) -1/2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))) (*.f64 (pow.f64 x 3) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 eps (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1)))))))))
(fma.f64 -1 (*.f64 (pow.f64 x 2) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2)) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)) (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1/2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (sqrt.f64 -1)))))))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) -1) -1/2) (/.f64 x 1)) (fma.f64 (pow.f64 x 3) (+.f64 (/.f64 1/2 eps) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) -1) -1/2) (sqrt.f64 -1)))) (/.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 -1/8 (*.f64 (pow.f64 eps 2) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) 1/8 (/.f64 (*.f64 1/2 eps) x))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (*.f64 1/2 (/.f64 eps x))))
(fma.f64 -1/8 (*.f64 (pow.f64 eps 2) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))) (fma.f64 1/16 (*.f64 (pow.f64 eps 3) (/.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 5))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) 1/8) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/128 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 6))) (*.f64 1/32 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 6)))) (pow.f64 x 7))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (*.f64 1/2 (/.f64 eps x)))))
(fma.f64 -1 (/.f64 (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 6)) 5/128) (pow.f64 x 7)) (fma.f64 -1/8 (*.f64 (pow.f64 eps 2) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))) (fma.f64 1/16 (*.f64 (pow.f64 eps 3) (/.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 5))) (*.f64 1/2 (/.f64 eps x)))))
(-.f64 (+.f64 (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) 1/8) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))) (/.f64 (*.f64 (neg.f64 (pow.f64 eps 4)) 5/128) (pow.f64 x 7)))
(*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (*.f64 -2 x) (pow.f64 (sqrt.f64 -1) 2))
(/.f64 (*.f64 -2 x) -1)
(+.f64 (*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 eps (/.f64 -1/2 x) (/.f64 (*.f64 -2 x) -1))
(+.f64 (*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))))))
(fma.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 -1/2 (/.f64 eps x) (*.f64 (*.f64 (pow.f64 eps 2) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))) 1/8)))
(fma.f64 (/.f64 x -1) -2 (fma.f64 (/.f64 (pow.f64 eps 2) (neg.f64 (pow.f64 x 3))) 1/8 (/.f64 (*.f64 eps -1/2) x)))
(+.f64 (*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4))) 2)) (*.f64 eps (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 4))))) (+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 eps (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)))))) (pow.f64 x 5))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3)))))))))
(fma.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 -2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8)) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4))) 2)) (*.f64 eps (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 5)))) (fma.f64 -1/2 (/.f64 eps x) (fma.f64 -1/8 (*.f64 (pow.f64 eps 2) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))) (fma.f64 1/16 (*.f64 (pow.f64 eps 3) (/.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 5))) (*.f64 1/4 (+.f64 (/.f64 (*.f64 eps (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) 1/8))) (pow.f64 x 5)) (*.f64 (pow.f64 eps 2) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))))))))))
(fma.f64 (/.f64 x -1) -2 (fma.f64 -2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (*.f64 (pow.f64 eps 4) 1/64)) (*.f64 eps (pow.f64 x 5))) (fma.f64 eps (/.f64 -1/2 x) (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (*.f64 1/4 (*.f64 (neg.f64 eps) (*.f64 (neg.f64 (pow.f64 eps 2)) 1/8))) (pow.f64 x 5))) (*.f64 (/.f64 (pow.f64 eps 2) (neg.f64 (pow.f64 x 3))) 1/8)))))
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps))
(+.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(+.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) x)
(+.f64 x (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(+.f64 x (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))
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(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (*.f64 2 x))
(fma.f64 1/2 (*.f64 eps (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 x 2))
(fma.f64 x 2 (/.f64 (*.f64 eps -1/2) x))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (*.f64 2 x)))
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(fma.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (fma.f64 x 2 (/.f64 (*.f64 eps -1/2) x)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (*.f64 2 x))))
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(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
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x
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(fma.f64 eps (/.f64 -1/2 x) x)
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(*.f64 -1 x)
(neg.f64 x)
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(-.f64 (/.f64 (*.f64 1/2 eps) x) x)
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x
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(fma.f64 eps (/.f64 -1/2 x) x)
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x
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x
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x
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(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))) 2))
(fabs.f64 (fma.f64 1/8 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) (/.f64 (*.f64 eps -1/2) x)))
(log.f64 (exp.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))))
(fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 1/8 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) (/.f64 (*.f64 eps -1/2) x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))))))
(fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 1/8 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) (/.f64 (*.f64 eps -1/2) x))
(log.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 eps 2)) (pow.f64 x -3)) 1/8) (exp.f64 (*.f64 eps (/.f64 -1/2 x)))))
(-.f64 (*.f64 (pow.f64 eps 2) (*.f64 1/8 (pow.f64 x -3))) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 (pow.f64 eps 2) (*.f64 1/8 (pow.f64 x -3)) (/.f64 (*.f64 1/2 eps) x))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x))) 3))
(fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 1/8 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) (/.f64 (*.f64 eps -1/2) x))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) (/.f64 (*.f64 eps -1/2) x))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))))
(fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 1/8 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) (/.f64 (*.f64 eps -1/2) x))
(exp.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))))
(fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 1/8 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) (/.f64 (*.f64 eps -1/2) x))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))) 1))
(fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 1/8 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) (/.f64 (*.f64 eps -1/2) x))
(fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 1/8 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) (/.f64 (*.f64 eps -1/2) x))
(fma.f64 1/8 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 1/8 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) (/.f64 (*.f64 eps -1/2) x))
(fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)))
(fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 eps 2) (*.f64 1/8 (pow.f64 x -3))))
(fma.f64 (/.f64 eps x) 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)))
(fma.f64 1/2 (/.f64 eps x) (*.f64 (pow.f64 eps 2) (*.f64 1/8 (pow.f64 x -3))))
(fma.f64 1 (*.f64 eps (/.f64 -1/2 x)) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)))
(+.f64 (*.f64 eps (/.f64 -1/2 x)) (*.f64 (pow.f64 eps 2) (*.f64 1/8 (pow.f64 x -3))))
(fma.f64 eps (/.f64 -1/2 x) (*.f64 (pow.f64 eps 2) (*.f64 1/8 (pow.f64 x -3))))
(fma.f64 1 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) 1/8 (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 1/8 (*.f64 (pow.f64 eps 2) (pow.f64 x -3)) (/.f64 (*.f64 eps -1/2) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) 2) (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)))
(+.f64 (*.f64 eps (/.f64 -1/2 x)) (*.f64 (pow.f64 eps 2) (*.f64 1/8 (pow.f64 x -3))))
(fma.f64 eps (/.f64 -1/2 x) (*.f64 (pow.f64 eps 2) (*.f64 1/8 (pow.f64 x -3))))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/8)) x) 2) (/.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/8)) x) (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/8)) x) 3) (/.f64 (*.f64 eps -1/2) x))
(fma.f64 (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))) (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x -3) 1/8)))
(+.f64 (*.f64 eps (/.f64 -1/2 x)) (*.f64 (pow.f64 eps 2) (*.f64 1/8 (pow.f64 x -3))))
(fma.f64 eps (/.f64 -1/2 x) (*.f64 (pow.f64 eps 2) (*.f64 1/8 (pow.f64 x -3))))
(fma.f64 (*.f64 (/.f64 eps (pow.f64 x 3/2)) (sqrt.f64 1/8)) (*.f64 (/.f64 eps (pow.f64 x 3/2)) (sqrt.f64 1/8)) (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 (sqrt.f64 1/8) (sqrt.f64 1/8))) (/.f64 (*.f64 eps -1/2) x))

eval306.0ms (3.5%)

Compiler

Compiled 11140 to 6977 computations (37.4% saved)

prune97.0ms (1.1%)

Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New5487555
Fresh123
Picked145
Done011
Total55014564
Accuracy
100.0%
Counts
564 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(/.f64 eps (fma.f64 x 2 (/.f64 (*.f64 eps -1/2) x)))
49.2%
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
75.8%
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
48.5%
(/.f64 eps (+.f64 x x))
56.2%
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
7.4%
(-.f64 x (+.f64 x (/.f64 (*.f64 -1/2 eps) x)))
7.4%
(-.f64 x (+.f64 x (/.f64 1 (/.f64 (*.f64 -2 x) eps))))
5.4%
(-.f64 x (*.f64 eps (/.f64 -1/2 x)))
58.3%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
52.2%
(-.f64 x (sqrt.f64 (neg.f64 eps)))
46.5%
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (/.f64 eps x) 2) x)) (*.f64 1/2 (/.f64 eps x)))
48.3%
(+.f64 0 (*.f64 -1 (*.f64 eps (/.f64 -1/2 x))))
75.7%
(*.f64 (+.f64 eps 0) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
3.5%
x
Compiler

Compiled 250 to 168 computations (32.8% saved)

localize248.0ms (2.8%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (*.f64 eps -1/2) x)
100.0%
(fma.f64 x 2 (/.f64 (*.f64 eps -1/2) x))
99.9%
(/.f64 eps (fma.f64 x 2 (/.f64 (*.f64 eps -1/2) x)))
100.0%
(-.f64 x (sqrt.f64 (neg.f64 eps)))
99.7%
(*.f64 eps (/.f64 -1/2 x))
100.0%
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
100.0%
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
99.8%
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
99.7%
(*.f64 (+.f64 eps 0) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
Compiler

Compiled 130 to 59 computations (54.6% saved)

series38.0ms (0.4%)

Counts
7 → 143
Calls

42 calls:

TimeVariablePointExpression
3.0ms
x
@0
(-.f64 x (sqrt.f64 (neg.f64 eps)))
2.0ms
eps
@0
(-.f64 x (sqrt.f64 (neg.f64 eps)))
2.0ms
eps
@0
(*.f64 (+.f64 eps 0) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
2.0ms
x
@-inf
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
2.0ms
eps
@0
(/.f64 eps (fma.f64 x 2 (/.f64 (*.f64 eps -1/2) x)))

rewrite316.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
1115×log1p-expm1-u
479×expm1-log1p-u
246×associate-*r*
180×associate-*l*
160×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027203
1399191
25579191
Stop Event
node limit
Counts
7 → 270
Calls
Call 1
Inputs
(*.f64 (+.f64 eps 0) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(*.f64 eps (/.f64 -1/2 x))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(/.f64 eps (fma.f64 x 2 (/.f64 (*.f64 eps -1/2) x)))
(fma.f64 x 2 (/.f64 (*.f64 eps -1/2) x))
(/.f64 (*.f64 eps -1/2) x)
Outputs
(+.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 0))
(+.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (*.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(+.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 0) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(+.f64 (*.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) 1)
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))
(/.f64 eps (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))
(/.f64 (pow.f64 eps 2) (*.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))
(/.f64 (pow.f64 eps 2) (*.f64 (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) eps))
(/.f64 (pow.f64 eps 3) (*.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) (pow.f64 eps 2)))
(/.f64 (*.f64 (pow.f64 eps 3) 1) (*.f64 (pow.f64 eps 2) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 (*.f64 (pow.f64 eps 2) 1) (*.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 (*.f64 (pow.f64 eps 3) -1) (*.f64 (pow.f64 eps 2) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(/.f64 (*.f64 -1 (pow.f64 eps 3)) (*.f64 (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 eps 2)))
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 (/.f64 eps 1) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))
(/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 2))) (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 (*.f64 (pow.f64 eps 2) -1) (*.f64 eps (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(/.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 eps 3)) (pow.f64 eps 2))
(/.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 eps 2)) eps)
(/.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (pow.f64 eps 2))
(/.f64 (*.f64 (pow.f64 eps 2) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) eps)
(pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 1)
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) 3)
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) 2)
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3) (pow.f64 eps 3)))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) 1)
(*.f64 1 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) -1/2) (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) -1) (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 eps)) 3) (pow.f64 x 3))) (fma.f64 x x (*.f64 (hypot.f64 x (sqrt.f64 eps)) (-.f64 (hypot.f64 x (sqrt.f64 eps)) x))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 x 2) (fma.f64 x x eps))) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) -1)
(pow.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) -1/2) 2)
(neg.f64 (/.f64 -1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) 1))
(+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 (/.f64 -1/2 x) 0))
(+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 0 (/.f64 -1/2 x)))
(+.f64 (*.f64 (/.f64 -1/2 x) 0) (/.f64 eps (*.f64 x -2)))
(+.f64 (*.f64 0 (/.f64 -1/2 x)) (/.f64 eps (*.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (*.f64 x -2)))) 1)
(/.f64 eps (*.f64 x -2))
(/.f64 1 (*.f64 -2 (/.f64 x eps)))
(/.f64 1 (/.f64 (*.f64 -2 (/.f64 x eps)) 1))
(/.f64 (*.f64 eps -1/2) x)
(/.f64 (*.f64 eps -1/2) (neg.f64 x))
(/.f64 (*.f64 eps -1/2) (neg.f64 (neg.f64 x)))
(/.f64 -1 (neg.f64 (*.f64 -2 (/.f64 x eps))))
(/.f64 (pow.f64 eps 2) (*.f64 (*.f64 x -2) eps))
(/.f64 (pow.f64 eps 3) (*.f64 (*.f64 x -2) (pow.f64 eps 2)))
(/.f64 (*.f64 (pow.f64 eps 3) 1) (*.f64 (pow.f64 eps 2) (*.f64 x -2)))
(/.f64 (*.f64 (pow.f64 eps 2) 1) (*.f64 eps (*.f64 x -2)))
(/.f64 (*.f64 (pow.f64 eps 3) -1/2) (*.f64 (pow.f64 eps 2) x))
(/.f64 (*.f64 (pow.f64 eps 3) 1/2) (*.f64 (pow.f64 eps 2) (neg.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) 1/2) (*.f64 eps (neg.f64 x)))
(/.f64 (*.f64 -1/2 (pow.f64 eps 3)) (*.f64 x (pow.f64 eps 2)))
(/.f64 (*.f64 1/2 (pow.f64 eps 3)) (*.f64 (neg.f64 x) (pow.f64 eps 2)))
(/.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 (neg.f64 x) eps))
(/.f64 (/.f64 (*.f64 eps -1/2) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 x eps))
(/.f64 (*.f64 (/.f64 -1/2 x) (pow.f64 eps 3)) (pow.f64 eps 2))
(/.f64 (*.f64 (/.f64 -1/2 x) (pow.f64 eps 2)) eps)
(/.f64 (*.f64 (pow.f64 eps 2) -1/2) (*.f64 eps x))
(/.f64 (*.f64 (pow.f64 eps 3) (/.f64 -1/2 x)) (pow.f64 eps 2))
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(/.f64 (/.f64 (*.f64 eps -1/2) 1) x)
(/.f64 (/.f64 (*.f64 eps -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (/.f64 eps (*.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x -2))) 3)
(pow.f64 (pow.f64 (/.f64 eps (*.f64 x -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 eps (*.f64 x -2))) 2)
(pow.f64 (*.f64 -2 (/.f64 x eps)) -1)
(neg.f64 (/.f64 eps (*.f64 x -2)))
(sqrt.f64 (pow.f64 (/.f64 eps (*.f64 x -2)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 -1/2 x)) eps))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (*.f64 x -2)))))
(cbrt.f64 (pow.f64 (/.f64 eps (*.f64 x -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (/.f64 -1/2 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1/2 x) 3) (pow.f64 eps 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 eps -1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (*.f64 x -2))))
(log1p.f64 (expm1.f64 (/.f64 eps (*.f64 x -2))))
(exp.f64 (log.f64 (/.f64 eps (*.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (*.f64 x -2))) 1))
(+.f64 x (neg.f64 (sqrt.f64 eps)))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 eps)) 1))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) 1 (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps 1/4)) (pow.f64 eps 1/4) (sqrt.f64 eps)))
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(*.f64 1 (-.f64 x (sqrt.f64 eps)))
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(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 eps))))
(*.f64 (fma.f64 x x eps) (/.f64 1 (+.f64 x (sqrt.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (/.f64 1 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 eps 1/4)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))))
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))
(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 eps)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2)) (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (+.f64 x (sqrt.f64 eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3/2))) (neg.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 eps)) 3)) (+.f64 (pow.f64 x 2) (-.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps))) (*.f64 x (neg.f64 (sqrt.f64 eps))))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps)))) (-.f64 x (neg.f64 (sqrt.f64 eps))))
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(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 2))
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sqrt.f64 eps)))))
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 eps))))
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 eps))))
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 eps))) 1))
(fma.f64 1 x (neg.f64 (sqrt.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 eps)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))) 1)
(-.f64 (/.f64 0 (neg.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))) (/.f64 eps (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
(*.f64 eps (/.f64 1 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
(*.f64 eps (/.f64 1 (neg.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))))
(*.f64 1 (/.f64 eps (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
(*.f64 (/.f64 eps (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))) 1)
(*.f64 -1 (/.f64 eps (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))) 2) (cbrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (cbrt.f64 eps) (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
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(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))))
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (neg.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))))
(*.f64 (/.f64 1 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))) eps)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))) 2)) (/.f64 eps (cbrt.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))) (/.f64 eps (sqrt.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))) 2)) (cbrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))))
(pow.f64 (/.f64 eps (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))) 1)
(pow.f64 (cbrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))) 3)
(pow.f64 (pow.f64 (/.f64 eps (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 eps (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))) 2)
(pow.f64 (/.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))) eps) -1)
(neg.f64 (/.f64 eps (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
(sqrt.f64 (pow.f64 (/.f64 eps (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))) 2))
(log.f64 (exp.f64 (/.f64 eps (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))))
(cbrt.f64 (pow.f64 (/.f64 eps (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))))
(log1p.f64 (expm1.f64 (/.f64 eps (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))))
(exp.f64 (log.f64 (/.f64 eps (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))) 1))
(+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 x 2))
(+.f64 (*.f64 x 2) (/.f64 eps (*.f64 x -2)))
(+.f64 (*.f64 (*.f64 x 2) 1) (/.f64 eps (*.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))) 1)
(*.f64 1 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))
(*.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))) 1)
(*.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))) 2) (cbrt.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
(*.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))) (sqrt.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (/.f64 eps (*.f64 x -2)) 3)) (+.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (-.f64 (pow.f64 (/.f64 eps (*.f64 x -2)) 2) (*.f64 (*.f64 x 2) (/.f64 eps (*.f64 x -2))))))
(/.f64 (-.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (pow.f64 (/.f64 eps (*.f64 x -2)) 2)) (-.f64 (*.f64 x 2) (/.f64 eps (*.f64 x -2))))
(pow.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))) 3)
(pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))) 2))
(log.f64 (exp.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))))
(cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
(log1p.f64 (expm1.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
(exp.f64 (log.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))) 1))
(+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 (/.f64 -1/2 x) 0))
(+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 0 (/.f64 -1/2 x)))
(+.f64 (*.f64 (/.f64 -1/2 x) 0) (/.f64 eps (*.f64 x -2)))
(+.f64 (*.f64 0 (/.f64 -1/2 x)) (/.f64 eps (*.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (*.f64 x -2)))) 1)
(*.f64 eps (/.f64 -1/2 x))
(*.f64 1 (/.f64 eps (*.f64 x -2)))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (*.f64 (/.f64 1 x) eps))
(*.f64 -1/2 (*.f64 eps (/.f64 1 x)))
(*.f64 (/.f64 -1/2 x) eps)
(*.f64 (*.f64 eps -1/2) (/.f64 1 x))
(*.f64 (*.f64 eps -1/2) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 eps (*.f64 x -2)) 1)
(*.f64 (cbrt.f64 (/.f64 eps (*.f64 x -2))) (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x -2))) 2) (cbrt.f64 (/.f64 eps (*.f64 x -2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 -1/2 x)) eps))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/4)) (/.f64 (cbrt.f64 (*.f64 eps -1/2)) x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/4)) (*.f64 (cbrt.f64 (*.f64 eps -1/2)) (/.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 -1/2 x)))
(*.f64 (sqrt.f64 (/.f64 eps (*.f64 x -2))) (sqrt.f64 (/.f64 eps (*.f64 x -2))))
(*.f64 (sqrt.f64 (/.f64 -1/2 x)) (*.f64 (sqrt.f64 (/.f64 -1/2 x)) eps))
(*.f64 (sqrt.f64 (*.f64 eps -1/2)) (/.f64 (sqrt.f64 (*.f64 eps -1/2)) x))
(*.f64 (sqrt.f64 (*.f64 eps -1/2)) (*.f64 (sqrt.f64 (*.f64 eps -1/2)) (/.f64 1 x)))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 -1/2 x)))
(*.f64 (/.f64 1 x) (*.f64 eps -1/2))
(*.f64 (/.f64 eps 1) (/.f64 -1/2 x))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 (cbrt.f64 x)))
(*.f64 (/.f64 eps (sqrt.f64 x)) (/.f64 -1/2 (sqrt.f64 x)))
(*.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 eps -1/2) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 eps -1/2) (sqrt.f64 x)))
(*.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 eps (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/4)) 1) (/.f64 (cbrt.f64 (*.f64 eps -1/2)) x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 eps (*.f64 x -2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/4)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 eps -1/2)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 eps -1/2)) 1) (/.f64 (sqrt.f64 (*.f64 eps -1/2)) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 eps -1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 eps -1/2)) (cbrt.f64 x)))
(*.f64 (*.f64 eps (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (cbrt.f64 (/.f64 -1/2 x)))
(*.f64 (*.f64 eps (sqrt.f64 (/.f64 -1/2 x))) (sqrt.f64 (/.f64 -1/2 x)))
(*.f64 (*.f64 (/.f64 -1/2 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(*.f64 (*.f64 (/.f64 -1/2 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(pow.f64 (/.f64 eps (*.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x -2))) 3)
(pow.f64 (pow.f64 (/.f64 eps (*.f64 x -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 eps (*.f64 x -2))) 2)
(pow.f64 (*.f64 -2 (/.f64 x eps)) -1)
(neg.f64 (/.f64 eps (*.f64 x -2)))
(sqrt.f64 (pow.f64 (/.f64 eps (*.f64 x -2)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 -1/2 x)) eps))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (*.f64 x -2)))))
(cbrt.f64 (pow.f64 (/.f64 eps (*.f64 x -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (/.f64 -1/2 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1/2 x) 3) (pow.f64 eps 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 eps -1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (*.f64 x -2))))
(log1p.f64 (expm1.f64 (/.f64 eps (*.f64 x -2))))
(exp.f64 (log.f64 (/.f64 eps (*.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (*.f64 x -2))) 1))

simplify181.0ms (2.1%)

Algorithm
egg-herbie
Rules
1032×associate-*l*
1028×associate-*r*
958×times-frac
766×fma-define
632×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074216685
1201114622
Stop Event
node limit
Counts
413 → 395
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
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(*.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))) (sqrt.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (/.f64 eps (*.f64 x -2)) 3)) (+.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (-.f64 (pow.f64 (/.f64 eps (*.f64 x -2)) 2) (*.f64 (*.f64 x 2) (/.f64 eps (*.f64 x -2))))))
(/.f64 (-.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (pow.f64 (/.f64 eps (*.f64 x -2)) 2)) (-.f64 (*.f64 x 2) (/.f64 eps (*.f64 x -2))))
(pow.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))) 3)
(pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))) 2))
(log.f64 (exp.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))))
(cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
(log1p.f64 (expm1.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
(exp.f64 (log.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))) 1))
(+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 (/.f64 -1/2 x) 0))
(+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 0 (/.f64 -1/2 x)))
(+.f64 (*.f64 (/.f64 -1/2 x) 0) (/.f64 eps (*.f64 x -2)))
(+.f64 (*.f64 0 (/.f64 -1/2 x)) (/.f64 eps (*.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (*.f64 x -2)))) 1)
(*.f64 eps (/.f64 -1/2 x))
(*.f64 1 (/.f64 eps (*.f64 x -2)))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (*.f64 (/.f64 1 x) eps))
(*.f64 -1/2 (*.f64 eps (/.f64 1 x)))
(*.f64 (/.f64 -1/2 x) eps)
(*.f64 (*.f64 eps -1/2) (/.f64 1 x))
(*.f64 (*.f64 eps -1/2) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 eps (*.f64 x -2)) 1)
(*.f64 (cbrt.f64 (/.f64 eps (*.f64 x -2))) (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x -2))) 2) (cbrt.f64 (/.f64 eps (*.f64 x -2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 -1/2 x)) eps))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/4)) (/.f64 (cbrt.f64 (*.f64 eps -1/2)) x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/4)) (*.f64 (cbrt.f64 (*.f64 eps -1/2)) (/.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 -1/2 x)))
(*.f64 (sqrt.f64 (/.f64 eps (*.f64 x -2))) (sqrt.f64 (/.f64 eps (*.f64 x -2))))
(*.f64 (sqrt.f64 (/.f64 -1/2 x)) (*.f64 (sqrt.f64 (/.f64 -1/2 x)) eps))
(*.f64 (sqrt.f64 (*.f64 eps -1/2)) (/.f64 (sqrt.f64 (*.f64 eps -1/2)) x))
(*.f64 (sqrt.f64 (*.f64 eps -1/2)) (*.f64 (sqrt.f64 (*.f64 eps -1/2)) (/.f64 1 x)))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 -1/2 x)))
(*.f64 (/.f64 1 x) (*.f64 eps -1/2))
(*.f64 (/.f64 eps 1) (/.f64 -1/2 x))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 (cbrt.f64 x)))
(*.f64 (/.f64 eps (sqrt.f64 x)) (/.f64 -1/2 (sqrt.f64 x)))
(*.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 eps -1/2) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 eps -1/2) (sqrt.f64 x)))
(*.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 eps (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/4)) 1) (/.f64 (cbrt.f64 (*.f64 eps -1/2)) x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 eps (*.f64 x -2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/4)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 eps -1/2)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 eps -1/2)) 1) (/.f64 (sqrt.f64 (*.f64 eps -1/2)) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 eps -1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 eps -1/2)) (cbrt.f64 x)))
(*.f64 (*.f64 eps (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (cbrt.f64 (/.f64 -1/2 x)))
(*.f64 (*.f64 eps (sqrt.f64 (/.f64 -1/2 x))) (sqrt.f64 (/.f64 -1/2 x)))
(*.f64 (*.f64 (/.f64 -1/2 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(*.f64 (*.f64 (/.f64 -1/2 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(pow.f64 (/.f64 eps (*.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x -2))) 3)
(pow.f64 (pow.f64 (/.f64 eps (*.f64 x -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 eps (*.f64 x -2))) 2)
(pow.f64 (*.f64 -2 (/.f64 x eps)) -1)
(neg.f64 (/.f64 eps (*.f64 x -2)))
(sqrt.f64 (pow.f64 (/.f64 eps (*.f64 x -2)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 -1/2 x)) eps))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (*.f64 x -2)))))
(cbrt.f64 (pow.f64 (/.f64 eps (*.f64 x -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (/.f64 -1/2 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1/2 x) 3) (pow.f64 eps 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 eps -1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (*.f64 x -2))))
(log1p.f64 (expm1.f64 (/.f64 eps (*.f64 x -2))))
(exp.f64 (log.f64 (/.f64 eps (*.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (*.f64 x -2))) 1))
Outputs
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 -1/8 (*.f64 (pow.f64 eps 2) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (*.f64 1/2 (/.f64 eps x))))
(fma.f64 -1/8 (*.f64 (pow.f64 eps 2) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))) (fma.f64 1/16 (*.f64 (pow.f64 eps 3) (/.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 5))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 eps (/.f64 1/2 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 7)))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (*.f64 1/2 (/.f64 eps x)))))
(fma.f64 -1 (*.f64 (pow.f64 eps 4) (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 7)) 5/128)) (fma.f64 -1/8 (*.f64 (pow.f64 eps 2) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))) (fma.f64 1/16 (*.f64 (pow.f64 eps 3) (/.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 5))) (*.f64 1/2 (/.f64 eps x)))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 eps 4)) (/.f64 -5/128 (pow.f64 x 7)) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 eps (/.f64 1/2 x))))
(*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))))
(fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x 1))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))))
(fma.f64 -1 (*.f64 (pow.f64 x 2) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2)) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (/.f64 -1 (sqrt.f64 -1)) -1/2)) (/.f64 x 1)) (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1))) (*.f64 (pow.f64 x 3) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 eps (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1)))))))))
(fma.f64 -1 (*.f64 (pow.f64 x 2) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2)) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 -1)) (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1/2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (sqrt.f64 -1)))))))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (/.f64 -1 (sqrt.f64 -1)) -1/2)) (/.f64 x 1)) (fma.f64 (pow.f64 x 3) (+.f64 (/.f64 1/2 eps) (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) (/.f64 -1/2 (sqrt.f64 -1))))) (/.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 -1/8 (*.f64 (pow.f64 eps 2) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (*.f64 1/2 (/.f64 eps x))))
(fma.f64 -1/8 (*.f64 (pow.f64 eps 2) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))) (fma.f64 1/16 (*.f64 (pow.f64 eps 3) (/.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 5))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 eps (/.f64 1/2 x))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/128 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 6))) (*.f64 1/32 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 6)))) (pow.f64 x 7))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (*.f64 1/2 (/.f64 eps x)))))
(fma.f64 -1 (/.f64 (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 6)) 5/128) (pow.f64 x 7)) (fma.f64 -1/8 (*.f64 (pow.f64 eps 2) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))) (fma.f64 1/16 (*.f64 (pow.f64 eps 3) (/.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 5))) (*.f64 1/2 (/.f64 eps x)))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 eps (/.f64 1/2 x)))) (/.f64 (*.f64 (pow.f64 eps 4) -5/128) (pow.f64 x 7)))
(*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) -2)
(*.f64 x 2)
(+.f64 (*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 eps (/.f64 -1/2 x) (*.f64 x 2))
(+.f64 (*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))))))
(fma.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 -1/2 (/.f64 eps x) (*.f64 (*.f64 (pow.f64 eps 2) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))) 1/8)))
(+.f64 (/.f64 (*.f64 -1/8 (pow.f64 eps 2)) (pow.f64 x 3)) (fma.f64 eps (/.f64 -1/2 x) (*.f64 x 2)))
(+.f64 (*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4))) 2)) (*.f64 eps (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 4))))) (+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 eps (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)))))) (pow.f64 x 5))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3)))))))))
(fma.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 -2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8)) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4))) 2)) (*.f64 eps (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 5)))) (fma.f64 -1/2 (/.f64 eps x) (fma.f64 -1/8 (*.f64 (pow.f64 eps 2) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))) (fma.f64 1/16 (*.f64 (pow.f64 eps 3) (/.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 5))) (*.f64 1/4 (+.f64 (/.f64 (*.f64 eps (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) 1/8))) (pow.f64 x 5)) (*.f64 (pow.f64 eps 2) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 3))))))))))
(+.f64 (fma.f64 -2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (*.f64 (pow.f64 eps 4) 1/64)) (*.f64 eps (pow.f64 x 5))) (fma.f64 eps (/.f64 -1/2 x) (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 1/4 (/.f64 (*.f64 -1 (*.f64 -1/8 (pow.f64 eps 3))) (pow.f64 x 5)))) (/.f64 (*.f64 -1/8 (pow.f64 eps 2)) (pow.f64 x 3))))) (*.f64 x 2))
(*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (sqrt.f64 -1)))
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)))
(/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))
(+.f64 (*.f64 -1 (/.f64 x (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (sqrt.f64 -1))))
(fma.f64 -1 (/.f64 x (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) (/.f64 x eps))
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(fma.f64 eps (/.f64 -1/2 x) (*.f64 x 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))))))
(fma.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 eps (/.f64 -1/2 x) (*.f64 x 2))
(cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2))) 3))
(fma.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 eps (/.f64 -1/2 x) (*.f64 x 2))
(expm1.f64 (log1p.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
(expm1.f64 (log1p.f64 (fma.f64 eps (/.f64 -1/2 x) (*.f64 x 2))))
(log1p.f64 (expm1.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
(fma.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 eps (/.f64 -1/2 x) (*.f64 x 2))
(exp.f64 (log.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))))
(fma.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 eps (/.f64 -1/2 x) (*.f64 x 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 2 (/.f64 eps (*.f64 x -2)))) 1))
(fma.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 eps (/.f64 -1/2 x) (*.f64 x 2))
(+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 (/.f64 -1/2 x) 0))
(*.f64 eps (/.f64 -1/2 x))
(+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 0 (/.f64 -1/2 x)))
(*.f64 eps (/.f64 -1/2 x))
(+.f64 (*.f64 (/.f64 -1/2 x) 0) (/.f64 eps (*.f64 x -2)))
(*.f64 eps (/.f64 -1/2 x))
(+.f64 (*.f64 0 (/.f64 -1/2 x)) (/.f64 eps (*.f64 x -2)))
(*.f64 eps (/.f64 -1/2 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (*.f64 x -2)))) 1)
(expm1.f64 (log1p.f64 (/.f64 eps (*.f64 x -2))))
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 -1/2 x))))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 1 (/.f64 eps (*.f64 x -2)))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (*.f64 (/.f64 1 x) eps))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (/.f64 1 x)))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (/.f64 -1/2 x) eps)
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (*.f64 eps -1/2) (/.f64 1 x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (*.f64 eps -1/2) (/.f64 1 (neg.f64 x)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 (/.f64 eps (*.f64 x -2)) 1)
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (cbrt.f64 (/.f64 eps (*.f64 x -2))) (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x -2))) 2))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x -2))) 2) (cbrt.f64 (/.f64 eps (*.f64 x -2))))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 -1/2 x)) eps))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/4)) (/.f64 (cbrt.f64 (*.f64 eps -1/2)) x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/4)) (*.f64 (cbrt.f64 (*.f64 eps -1/2)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/4)) (/.f64 (cbrt.f64 (*.f64 eps -1/2)) x))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 -1/2 x)))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (sqrt.f64 (/.f64 eps (*.f64 x -2))) (sqrt.f64 (/.f64 eps (*.f64 x -2))))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (sqrt.f64 (/.f64 -1/2 x)) (*.f64 (sqrt.f64 (/.f64 -1/2 x)) eps))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (sqrt.f64 (*.f64 eps -1/2)) (/.f64 (sqrt.f64 (*.f64 eps -1/2)) x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (sqrt.f64 (*.f64 eps -1/2)) (*.f64 (sqrt.f64 (*.f64 eps -1/2)) (/.f64 1 x)))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 -1/2 x)))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (/.f64 1 x) (*.f64 eps -1/2))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (/.f64 eps 1) (/.f64 -1/2 x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 (cbrt.f64 x)))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (/.f64 eps (sqrt.f64 x)) (/.f64 -1/2 (sqrt.f64 x)))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 eps -1/2) (cbrt.f64 x)))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 eps -1/2) (sqrt.f64 x)))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 eps (cbrt.f64 x)))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/4)) 1) (/.f64 (cbrt.f64 (*.f64 eps -1/2)) x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/4)) (/.f64 (cbrt.f64 (*.f64 eps -1/2)) x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 eps (*.f64 x -2))))
(*.f64 (cbrt.f64 (/.f64 eps (*.f64 x -2))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/4)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/4)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/4)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 eps -1/2)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 eps 2) 1/4)) (/.f64 (/.f64 (cbrt.f64 (*.f64 eps -1/2)) (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 eps -1/2)) 1) (/.f64 (sqrt.f64 (*.f64 eps -1/2)) x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 eps -1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 eps -1/2)) (cbrt.f64 x)))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (*.f64 eps (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2)) (cbrt.f64 (/.f64 -1/2 x)))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (*.f64 eps (sqrt.f64 (/.f64 -1/2 x))) (sqrt.f64 (/.f64 -1/2 x)))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (*.f64 (/.f64 -1/2 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 (*.f64 (/.f64 -1/2 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 eps (/.f64 -1/2 x))
(pow.f64 (/.f64 eps (*.f64 x -2)) 1)
(*.f64 eps (/.f64 -1/2 x))
(pow.f64 (cbrt.f64 (/.f64 eps (*.f64 x -2))) 3)
(*.f64 eps (/.f64 -1/2 x))
(pow.f64 (pow.f64 (/.f64 eps (*.f64 x -2)) 3) 1/3)
(*.f64 eps (/.f64 -1/2 x))
(pow.f64 (sqrt.f64 (/.f64 eps (*.f64 x -2))) 2)
(*.f64 eps (/.f64 -1/2 x))
(pow.f64 (*.f64 -2 (/.f64 x eps)) -1)
(*.f64 eps (/.f64 -1/2 x))
(neg.f64 (/.f64 eps (*.f64 x -2)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(sqrt.f64 (pow.f64 (/.f64 eps (*.f64 x -2)) 2))
(fabs.f64 (*.f64 eps (/.f64 -1/2 x)))
(log.f64 (pow.f64 (exp.f64 (/.f64 -1/2 x)) eps))
(*.f64 eps (/.f64 -1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (*.f64 x -2)))))
(*.f64 eps (/.f64 -1/2 x))
(cbrt.f64 (pow.f64 (/.f64 eps (*.f64 x -2)) 3))
(*.f64 eps (/.f64 -1/2 x))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (/.f64 -1/2 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1/2 x) 3) (pow.f64 eps 3)))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (/.f64 -1/2 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 eps -1/2) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (/.f64 -1/2 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (*.f64 x -2))))
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 -1/2 x))))
(log1p.f64 (expm1.f64 (/.f64 eps (*.f64 x -2))))
(*.f64 eps (/.f64 -1/2 x))
(exp.f64 (log.f64 (/.f64 eps (*.f64 x -2))))
(*.f64 eps (/.f64 -1/2 x))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (*.f64 x -2))) 1))
(*.f64 eps (/.f64 -1/2 x))

eval272.0ms (3.1%)

Compiler

Compiled 10335 to 6925 computations (33% saved)

prune155.0ms (1.8%)

Pruning

15 alts after pruning (7 fresh and 8 done)

PrunedKeptTotal
New5083511
Fresh044
Picked235
Done055
Total51015525
Accuracy
100.0%
Counts
525 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(/.f64 eps (+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 x 2)))
49.2%
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
75.8%
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
48.5%
(/.f64 eps (+.f64 x x))
56.2%
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
7.4%
(-.f64 x (+.f64 x (/.f64 (*.f64 -1/2 eps) x)))
7.4%
(-.f64 x (+.f64 x (/.f64 1 (/.f64 (*.f64 -2 x) eps))))
5.4%
(-.f64 x (*.f64 eps (/.f64 -1/2 x)))
58.3%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
52.2%
(-.f64 x (sqrt.f64 (neg.f64 eps)))
46.5%
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (/.f64 eps x) 2) x)) (*.f64 1/2 (/.f64 eps x)))
75.7%
(*.f64 (+.f64 eps 0) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
5.4%
(*.f64 x -2)
48.3%
(*.f64 eps (/.f64 1/2 x))
3.5%
x
Compiler

Compiled 225 to 150 computations (33.3% saved)

localize191.0ms (2.2%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 x (/.f64 1 (/.f64 (*.f64 -2 x) eps)))
99.6%
(/.f64 1 (/.f64 (*.f64 -2 x) eps))
58.3%
(-.f64 x (+.f64 x (/.f64 1 (/.f64 (*.f64 -2 x) eps))))
100.0%
(-.f64 x (*.f64 eps (/.f64 -1/2 x)))
99.6%
(*.f64 eps (/.f64 -1/2 x))
99.6%
(*.f64 eps (/.f64 1/2 x))
100.0%
(+.f64 x (fma.f64 eps (/.f64 -1/2 x) x))
99.9%
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
99.8%
(fma.f64 eps (/.f64 -1/2 x) x)
Compiler

Compiled 106 to 62 computations (41.5% saved)

series34.0ms (0.4%)

Counts
8 → 192
Calls

48 calls:

TimeVariablePointExpression
6.0ms
eps
@0
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
1.0ms
x
@inf
(-.f64 x (+.f64 x (/.f64 1 (/.f64 (*.f64 -2 x) eps))))
1.0ms
x
@inf
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
1.0ms
x
@0
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
1.0ms
x
@-inf
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))

rewrite183.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
771×log1p-expm1-u
298×associate-*r*
192×associate-*l*
185×expm1-log1p-u
182×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025204
1393204
26934204
Stop Event
node limit
Counts
8 → 507
Calls
Call 1
Inputs
(fma.f64 eps (/.f64 -1/2 x) x)
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(+.f64 x (fma.f64 eps (/.f64 -1/2 x) x))
(*.f64 eps (/.f64 1/2 x))
(-.f64 x (*.f64 eps (/.f64 -1/2 x)))
(-.f64 x (+.f64 x (/.f64 1 (/.f64 (*.f64 -2 x) eps))))
(/.f64 1 (/.f64 (*.f64 -2 x) eps))
(+.f64 x (/.f64 1 (/.f64 (*.f64 -2 x) eps)))
Outputs
(+.f64 x (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (fma.f64 eps (/.f64 -1/2 x) x) (fma.f64 (/.f64 -1/2 x) eps (*.f64 eps (/.f64 -1/2 x))))
(+.f64 (fma.f64 eps (/.f64 -1/2 x) x) (fma.f64 (neg.f64 eps) (/.f64 -1/2 x) (*.f64 eps (/.f64 -1/2 x))))
(+.f64 (fma.f64 eps (/.f64 -1/2 x) x) (fma.f64 (*.f64 eps (/.f64 -1/2 x)) 1 (*.f64 eps (/.f64 -1/2 x))))
(+.f64 (fma.f64 eps (/.f64 -1/2 x) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) 2) (*.f64 eps (/.f64 -1/2 x))))
(+.f64 (fma.f64 eps (/.f64 -1/2 x) x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps (/.f64 -1/2 x)))) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))) (*.f64 eps (/.f64 -1/2 x))))
(+.f64 (*.f64 eps (/.f64 -1/2 x)) x)
(-.f64 x (*.f64 eps (/.f64 -1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (/.f64 -1/2 x) x))) 1)
(-.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) x)))) (/.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) x)))))
(-.f64 (/.f64 (pow.f64 x 2) (fma.f64 eps (/.f64 -1/2 x) x)) (/.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -2) (fma.f64 eps (/.f64 -1/2 x) x)))
(*.f64 (fma.f64 eps (/.f64 -1/2 x) x) 1)
(*.f64 1 (fma.f64 eps (/.f64 -1/2 x) x))
(*.f64 (cbrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)) (pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)) 2) (cbrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(*.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (/.f64 1 (fma.f64 eps (/.f64 -1/2 x) x)))
(*.f64 (sqrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)) (sqrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) (pow.f64 x 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (*.f64 (*.f64 x eps) (/.f64 -1/2 x)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 -2 eps)) -3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) x)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x)))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (*.f64 (*.f64 x eps) (/.f64 -1/2 x))) (+.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) x))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 -2 eps)) -3))))
(/.f64 1 (/.f64 (fma.f64 eps (/.f64 -1/2 x) x) (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2)))
(/.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (fma.f64 eps (/.f64 -1/2 x) x))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) (pow.f64 x 3)) (-.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (*.f64 (*.f64 x eps) (/.f64 -1/2 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 x eps) (/.f64 -1/2 x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 -2 eps)) -3)) (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2)) (neg.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) (pow.f64 x 3))) (neg.f64 (-.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (*.f64 (*.f64 x eps) (/.f64 -1/2 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 -2 eps)) -3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -2) (pow.f64 x 2)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) x))
(pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)) 3)
(pow.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 3) 1/3)
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(exp.f64 (log.f64 (*.f64 eps (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 -2 eps))) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (/.f64 -1/2 x))) 1))
(exp.f64 (-.f64 (log.f64 eps) (log.f64 (*.f64 x -2))))
(fma.f64 1 x (neg.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(+.f64 x (neg.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(+.f64 x (*.f64 (neg.f64 (fma.f64 eps (/.f64 -1/2 x) x)) 1))
(+.f64 0 (*.f64 eps (/.f64 -1/2 x)))
(+.f64 (neg.f64 (fma.f64 eps (/.f64 -1/2 x) x)) x)
(+.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 (neg.f64 (fma.f64 eps (/.f64 -1/2 x) x)) 1 (fma.f64 eps (/.f64 -1/2 x) x)))
(+.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 eps (/.f64 -1/2 x) x))) (pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)) 2) (fma.f64 eps (/.f64 -1/2 x) x)))
(+.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 eps (/.f64 -1/2 x) x))) (sqrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)) (fma.f64 eps (/.f64 -1/2 x) x)))
(-.f64 x (fma.f64 eps (/.f64 -1/2 x) x))
(-.f64 (fma.f64 eps (/.f64 -1/2 x) x) x)
(-.f64 0 (*.f64 eps (/.f64 -1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (/.f64 -1/2 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (fma.f64 eps (/.f64 -1/2 x) x) (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x))))) (/.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 3) (fma.f64 x x (*.f64 (fma.f64 eps (/.f64 -1/2 x) x) (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x))))))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x))) (/.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x))))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 (/.f64 x eps) -1))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 -1/2 (*.f64 (/.f64 1 x) eps))
(*.f64 (/.f64 -1/2 x) eps)
(*.f64 (/.f64 -1/2 x) (neg.f64 eps))
(*.f64 (/.f64 -1/2 x) (pow.f64 (/.f64 1 eps) -1))
(*.f64 1/2 (*.f64 (/.f64 1 x) eps))
(*.f64 1 (*.f64 eps (/.f64 -1/2 x)))
(*.f64 -1 (*.f64 eps (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 x 2))) (*.f64 (cbrt.f64 (/.f64 -1/2 x)) eps))
(*.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) 2) (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) 2) (neg.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x)))))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (cbrt.f64 eps) (*.f64 x -2)))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (/.f64 -1/2 x)))
(*.f64 (sqrt.f64 (/.f64 -1/2 x)) (/.f64 eps (sqrt.f64 (*.f64 x -2))))
(*.f64 (sqrt.f64 (/.f64 -1/2 x)) (*.f64 (sqrt.f64 (/.f64 -1/2 x)) eps))
(*.f64 (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))) (neg.f64 (sqrt.f64 (*.f64 eps (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (*.f64 x -2)))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 -1/2 x)))
(*.f64 (neg.f64 eps) (/.f64 -1/2 x))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 eps (/.f64 -1/2 x) x) (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x))))))
(*.f64 (/.f64 1 x) (/.f64 eps -2))
(*.f64 (*.f64 eps (/.f64 -1/2 x)) 1)
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2)) (/.f64 1 (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x))))
(*.f64 (*.f64 eps -1/2) (/.f64 1 x))
(*.f64 (*.f64 eps 1/2) (/.f64 1 x))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 eps (/.f64 -1/2 x)))) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 -2 eps))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 -2 eps))) -1))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 -2 eps))) -1) (pow.f64 (sqrt.f64 (*.f64 x (/.f64 -2 eps))) -1))
(*.f64 (*.f64 (neg.f64 eps) 1) (/.f64 -1/2 x))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (/.f64 eps (cbrt.f64 (*.f64 x -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) x) (/.f64 (cbrt.f64 eps) -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (*.f64 x -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) -2) (/.f64 (cbrt.f64 eps) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (/.f64 (cbrt.f64 eps) (cbrt.f64 (*.f64 x -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 x -2))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (*.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 eps) x) (/.f64 (sqrt.f64 eps) -2))
(*.f64 (/.f64 (sqrt.f64 eps) -2) (/.f64 (sqrt.f64 eps) x))
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (*.f64 x -2)))
(*.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (*.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 x -2))) (/.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 x -2))))
(*.f64 (/.f64 eps 1) (/.f64 -1/2 x))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 (cbrt.f64 x)))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 (cbrt.f64 x)))
(*.f64 (/.f64 eps (sqrt.f64 x)) (/.f64 -1/2 (sqrt.f64 x)))
(*.f64 (/.f64 eps (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 eps (/.f64 -1/2 x) x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 eps (/.f64 -1/2 x) x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) 2)) (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))))
(*.f64 (*.f64 eps (cbrt.f64 (/.f64 1/4 (pow.f64 x 2)))) (cbrt.f64 (/.f64 -1/2 x)))
(*.f64 (*.f64 eps (sqrt.f64 (/.f64 -1/2 x))) (sqrt.f64 (/.f64 -1/2 x)))
(*.f64 (*.f64 (/.f64 -1/2 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(*.f64 (*.f64 (/.f64 -1/2 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 (*.f64 (neg.f64 eps) -1/2) (/.f64 1 x))
(*.f64 (*.f64 (neg.f64 eps) (cbrt.f64 (/.f64 1/4 (pow.f64 x 2)))) (cbrt.f64 (/.f64 -1/2 x)))
(*.f64 (*.f64 (neg.f64 eps) (sqrt.f64 (/.f64 -1/2 x))) (sqrt.f64 (/.f64 -1/2 x)))
(pow.f64 (*.f64 x (/.f64 -2 eps)) -1)
(pow.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))) 2)
(pow.f64 (*.f64 eps (/.f64 -1/2 x)) 1)
(neg.f64 (*.f64 eps (/.f64 -1/2 x)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -2))
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 -1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (/.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 -1/2 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (/.f64 -1/2 x))))
(exp.f64 (log.f64 (*.f64 eps (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 -2 eps))) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (/.f64 -1/2 x))) 1))
(exp.f64 (-.f64 (log.f64 eps) (log.f64 (*.f64 x -2))))
(fma.f64 1 x (neg.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(-.f64 x (*.f64 eps (/.f64 -1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (/.f64 -1/2 x) x))) 1)
(-.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) x)))) (/.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) x)))))
(-.f64 (/.f64 (pow.f64 x 2) (fma.f64 eps (/.f64 -1/2 x) x)) (/.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -2) (fma.f64 eps (/.f64 -1/2 x) x)))
(*.f64 (fma.f64 eps (/.f64 -1/2 x) x) 1)
(*.f64 1 (fma.f64 eps (/.f64 -1/2 x) x))
(*.f64 (cbrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)) (pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)) 2) (cbrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(*.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (/.f64 1 (fma.f64 eps (/.f64 -1/2 x) x)))
(*.f64 (sqrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)) (sqrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) (pow.f64 x 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (*.f64 (*.f64 x eps) (/.f64 -1/2 x)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 -2 eps)) -3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) x)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x)))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (*.f64 (*.f64 x eps) (/.f64 -1/2 x))) (+.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) x))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 -2 eps)) -3))))
(/.f64 1 (/.f64 (fma.f64 eps (/.f64 -1/2 x) x) (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2)))
(/.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (fma.f64 eps (/.f64 -1/2 x) x))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) (pow.f64 x 3)) (-.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (*.f64 (*.f64 x eps) (/.f64 -1/2 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 x eps) (/.f64 -1/2 x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 -2 eps)) -3)) (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2)) (neg.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) (pow.f64 x 3))) (neg.f64 (-.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (*.f64 (*.f64 x eps) (/.f64 -1/2 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 -2 eps)) -3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -2) (pow.f64 x 2)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) x))
(pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)) 3)
(pow.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2))
(log.f64 (exp.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (/.f64 -1/2 x) x))))
(cbrt.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(log1p.f64 (expm1.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(exp.f64 (log.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (/.f64 -1/2 x) x)) 1))
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 (/.f64 -1/2 x) eps x)
(fma.f64 1 x (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 1 (*.f64 eps (/.f64 -1/2 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) 2) (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps (/.f64 -1/2 x)))

simplify503.0ms (5.7%)

Algorithm
egg-herbie
Rules
1658×fma-neg
788×log-prod
630×times-frac
592×exp-prod
530×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057925692
1140224996
2554624992
Stop Event
node limit
Counts
699 → 365
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(*.f64 -1/2 (/.f64 eps x))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(*.f64 -1/2 (/.f64 eps x))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(*.f64 -1/2 (/.f64 eps x))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
x
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
x
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))))
(*.f64 -2 x)
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x))
(+.f64 (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)))
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x))))
(*.f64 -2 x)
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x))
(+.f64 (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)))
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x))))
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(*.f64 (neg.f64 (sqrt.f64 (*.f64 eps (/.f64 -1/2 x)))) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 -2 eps))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 -2 eps))) -1))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 -2 eps))) -1) (pow.f64 (sqrt.f64 (*.f64 x (/.f64 -2 eps))) -1))
(*.f64 (*.f64 (neg.f64 eps) 1) (/.f64 -1/2 x))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (/.f64 eps (cbrt.f64 (*.f64 x -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) x) (/.f64 (cbrt.f64 eps) -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (*.f64 x -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) -2) (/.f64 (cbrt.f64 eps) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (/.f64 (cbrt.f64 eps) (cbrt.f64 (*.f64 x -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (*.f64 x -2))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (*.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 eps) x) (/.f64 (sqrt.f64 eps) -2))
(*.f64 (/.f64 (sqrt.f64 eps) -2) (/.f64 (sqrt.f64 eps) x))
(*.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (*.f64 x -2)))
(*.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (*.f64 (pow.f64 x 2) 4))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (*.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 x -2))) (/.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 x -2))))
(*.f64 (/.f64 eps 1) (/.f64 -1/2 x))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 (cbrt.f64 x)))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 (cbrt.f64 x)))
(*.f64 (/.f64 eps (sqrt.f64 x)) (/.f64 -1/2 (sqrt.f64 x)))
(*.f64 (/.f64 eps (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 eps (/.f64 -1/2 x) x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 eps (/.f64 -1/2 x) x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) 2)) (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))))
(*.f64 (*.f64 eps (cbrt.f64 (/.f64 1/4 (pow.f64 x 2)))) (cbrt.f64 (/.f64 -1/2 x)))
(*.f64 (*.f64 eps (sqrt.f64 (/.f64 -1/2 x))) (sqrt.f64 (/.f64 -1/2 x)))
(*.f64 (*.f64 (/.f64 -1/2 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(*.f64 (*.f64 (/.f64 -1/2 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 (*.f64 (neg.f64 eps) -1/2) (/.f64 1 x))
(*.f64 (*.f64 (neg.f64 eps) (cbrt.f64 (/.f64 1/4 (pow.f64 x 2)))) (cbrt.f64 (/.f64 -1/2 x)))
(*.f64 (*.f64 (neg.f64 eps) (sqrt.f64 (/.f64 -1/2 x))) (sqrt.f64 (/.f64 -1/2 x)))
(pow.f64 (*.f64 x (/.f64 -2 eps)) -1)
(pow.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))) 2)
(pow.f64 (*.f64 eps (/.f64 -1/2 x)) 1)
(neg.f64 (*.f64 eps (/.f64 -1/2 x)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -2))
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 -1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (/.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 -1/2 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (/.f64 -1/2 x))))
(exp.f64 (log.f64 (*.f64 eps (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 -2 eps))) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (/.f64 -1/2 x))) 1))
(exp.f64 (-.f64 (log.f64 eps) (log.f64 (*.f64 x -2))))
(fma.f64 1 x (neg.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(-.f64 x (*.f64 eps (/.f64 -1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (/.f64 -1/2 x) x))) 1)
(-.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) x)))) (/.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) x)))))
(-.f64 (/.f64 (pow.f64 x 2) (fma.f64 eps (/.f64 -1/2 x) x)) (/.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -2) (fma.f64 eps (/.f64 -1/2 x) x)))
(*.f64 (fma.f64 eps (/.f64 -1/2 x) x) 1)
(*.f64 1 (fma.f64 eps (/.f64 -1/2 x) x))
(*.f64 (cbrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)) (pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)) 2) (cbrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(*.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (/.f64 1 (fma.f64 eps (/.f64 -1/2 x) x)))
(*.f64 (sqrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)) (sqrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) (pow.f64 x 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (*.f64 (*.f64 x eps) (/.f64 -1/2 x)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 -2 eps)) -3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) x)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x)))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (*.f64 (*.f64 x eps) (/.f64 -1/2 x))) (+.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) x))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 -2 eps)) -3))))
(/.f64 1 (/.f64 (fma.f64 eps (/.f64 -1/2 x) x) (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2)))
(/.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (fma.f64 eps (/.f64 -1/2 x) x))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) (pow.f64 x 3)) (-.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (*.f64 (*.f64 x eps) (/.f64 -1/2 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 x eps) (/.f64 -1/2 x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 -2 eps)) -3)) (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2)) (neg.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) (pow.f64 x 3))) (neg.f64 (-.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (*.f64 (*.f64 x eps) (/.f64 -1/2 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 -2 eps)) -3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -2) (pow.f64 x 2)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) x))
(pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)) 3)
(pow.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2))
(log.f64 (exp.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (/.f64 -1/2 x) x))))
(cbrt.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(log1p.f64 (expm1.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(exp.f64 (log.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (/.f64 -1/2 x) x)) 1))
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 (/.f64 -1/2 x) eps x)
(fma.f64 1 x (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 1 (*.f64 eps (/.f64 -1/2 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) 2) (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps (/.f64 -1/2 x)))
Outputs
x
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 eps (/.f64 -1/2 x) x)
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 eps (/.f64 -1/2 x) x)
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 eps (/.f64 -1/2 x) x)
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 eps (/.f64 -1/2 x) x)
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 eps (/.f64 -1/2 x) x)
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 eps (/.f64 -1/2 x) x)
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 eps (/.f64 -1/2 x) x)
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 eps (/.f64 -1/2 x) x)
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 eps (/.f64 -1/2 x) x)
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 eps (/.f64 -1/2 x) x)
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 eps (/.f64 -1/2 x) x)
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 eps (/.f64 -1/2 x) x)
x
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 eps (/.f64 -1/2 x) x)
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 eps (/.f64 -1/2 x) x)
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 eps (/.f64 -1/2 x) x)
x
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 eps (/.f64 -1/2 x) x)
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 eps (/.f64 -1/2 x) x)
(+.f64 x (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 eps (/.f64 -1/2 x) x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(/.f64 1/2 (/.f64 x eps))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 eps (/.f64 1/2 x)))
(fma.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 1/2 (/.f64 x eps)))
(+.f64 (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 eps (/.f64 1/2 x))))
(fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 1/2 (/.f64 x eps))))
(+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))))
(fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 eps (/.f64 1/2 x)))))
(fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 1/2 (/.f64 x eps)))))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 x -2))
(+.f64 (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)))
(fma.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 x -2)))
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 x -2))))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 x -2))
(+.f64 (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)))
(fma.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 x -2)))
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 x -2))))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 x -2))
(+.f64 (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x)))
(fma.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 x -2)))
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 x -2))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(/.f64 1/2 (/.f64 x eps))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 eps (/.f64 1/2 x)))
(fma.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 1/2 (/.f64 x eps)))
(+.f64 (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x))))
(fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 eps (/.f64 1/2 x))))
(fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 1/2 (/.f64 x eps))))
(+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))))
(fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 eps (/.f64 1/2 x)))))
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(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) (pow.f64 x 3)) (-.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (*.f64 (*.f64 x eps) (/.f64 -1/2 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 x -2) eps) -3)) 1) (-.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (*.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -2 (/.f64 x eps)) -3)) (+.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (*.f64 x (/.f64 1/2 (/.f64 x eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 x eps) (/.f64 -1/2 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 x -2) eps) -3)) (+.f64 (pow.f64 (/.f64 (*.f64 x -2) eps) -2) (-.f64 (pow.f64 x 2) (*.f64 x (*.f64 eps (/.f64 -1/2 x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -2 (/.f64 x eps)) -3)) (+.f64 (pow.f64 (*.f64 -2 (/.f64 x eps)) -2) (*.f64 x (fma.f64 eps (/.f64 1/2 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -2 (/.f64 x eps)) -3)) (+.f64 (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2) (*.f64 x (fma.f64 eps (/.f64 1/2 x) x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 -2 eps)) -3)) (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 x -2) eps) -3)) (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 -2 (/.f64 x eps)) -3)) (fma.f64 x x (*.f64 -1/2 (*.f64 (/.f64 eps x) (fma.f64 eps (/.f64 -1/2 x) x)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2)) (neg.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(*.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (/.f64 1 (fma.f64 eps (/.f64 -1/2 x) x)))
(/.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (fma.f64 eps (/.f64 -1/2 x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -3) (pow.f64 x 3))) (neg.f64 (-.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (*.f64 (*.f64 x eps) (/.f64 -1/2 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 x -2) eps) -3)) 1) (-.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (*.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -2 (/.f64 x eps)) -3)) (+.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2) (*.f64 x (/.f64 1/2 (/.f64 x eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 -2 eps)) -3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 x -2) eps) -3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) x)))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 -2 (/.f64 x eps)) -3)) (fma.f64 x x (*.f64 -1/2 (*.f64 (/.f64 eps x) (fma.f64 eps (/.f64 -1/2 x) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 -2 eps)) -2) (pow.f64 x 2)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x -2) eps) -2) (pow.f64 x 2)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 -2 (/.f64 x eps)) -2) (pow.f64 x 2)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2) (pow.f64 x 2)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) x))
(pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 1)
(fma.f64 eps (/.f64 -1/2 x) x)
(pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)) 3)
(fma.f64 eps (/.f64 -1/2 x) x)
(pow.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 3) 1/3)
(fma.f64 eps (/.f64 -1/2 x) x)
(pow.f64 (sqrt.f64 (fma.f64 eps (/.f64 -1/2 x) x)) 2)
(fma.f64 eps (/.f64 -1/2 x) x)
(sqrt.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 2))
(fabs.f64 (fma.f64 eps (/.f64 -1/2 x) x))
(log.f64 (exp.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(fma.f64 eps (/.f64 -1/2 x) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (/.f64 -1/2 x) x))))
(fma.f64 eps (/.f64 -1/2 x) x)
(cbrt.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) x) 3))
(fma.f64 eps (/.f64 -1/2 x) x)
(expm1.f64 (log1p.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(log1p.f64 (expm1.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(fma.f64 eps (/.f64 -1/2 x) x)
(exp.f64 (log.f64 (fma.f64 eps (/.f64 -1/2 x) x)))
(fma.f64 eps (/.f64 -1/2 x) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (/.f64 -1/2 x) x)) 1))
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 (/.f64 -1/2 x) eps x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 1 x (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 1 (*.f64 eps (/.f64 -1/2 x)) x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) 2) (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))) (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))) x)
(fma.f64 eps (/.f64 -1/2 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 eps (/.f64 -1/2 x) x)

eval212.0ms (2.4%)

Compiler

Compiled 6494 to 4084 computations (37.1% saved)

prune75.0ms (0.9%)

Pruning

19 alts after pruning (8 fresh and 11 done)

PrunedKeptTotal
New4156421
Fresh022
Picked235
Done088
Total41719436
Accuracy
100.0%
Counts
436 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(/.f64 eps (+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 x 2)))
75.8%
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
49.2%
(/.f64 eps (+.f64 x (+.f64 (*.f64 eps (/.f64 -1/2 x)) x)))
12.2%
(/.f64 eps (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
12.2%
(/.f64 eps (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
48.5%
(/.f64 eps (+.f64 x x))
48.3%
(/.f64 1/2 (/.f64 x eps))
47.8%
(/.f64 -1 (*.f64 x (/.f64 -2 eps)))
56.2%
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
5.4%
(-.f64 x (/.f64 1 (*.f64 -2 (/.f64 x eps))))
7.4%
(-.f64 x (+.f64 x (/.f64 (*.f64 -1/2 eps) x)))
5.4%
(-.f64 x (*.f64 eps (/.f64 -1/2 x)))
58.3%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
52.2%
(-.f64 x (sqrt.f64 (neg.f64 eps)))
46.5%
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (/.f64 eps x) 2) x)) (*.f64 1/2 (/.f64 eps x)))
75.7%
(*.f64 (+.f64 eps 0) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
5.4%
(*.f64 x -2)
48.3%
(*.f64 eps (/.f64 1/2 x))
3.5%
x
Compiler

Compiled 396 to 241 computations (39.1% saved)

regimes91.0ms (1%)

Counts
25 → 2
Calls
Call 1
Inputs
x
(*.f64 x -2)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(/.f64 1/2 (/.f64 x eps))
(/.f64 eps (+.f64 x x))
(-.f64 x (*.f64 eps (/.f64 -1/2 x)))
(/.f64 -1 (*.f64 x (/.f64 -2 eps)))
(+.f64 0 (*.f64 -1 (*.f64 eps (/.f64 -1/2 x))))
(-.f64 x (+.f64 x (/.f64 (*.f64 -1/2 eps) x)))
(-.f64 x (/.f64 1 (*.f64 -2 (/.f64 x eps))))
(/.f64 eps (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
(/.f64 eps (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
(-.f64 x (+.f64 x (/.f64 1 (/.f64 (*.f64 -2 x) eps))))
(/.f64 eps (+.f64 x (+.f64 (*.f64 eps (/.f64 -1/2 x)) x)))
(/.f64 eps (+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 x 2)))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(/.f64 eps (fma.f64 x 2 (/.f64 (*.f64 eps -1/2) x)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (/.f64 eps x) 2) x)) (*.f64 1/2 (/.f64 eps x)))
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(*.f64 (+.f64 eps 0) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
Outputs
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(/.f64 eps (+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 x 2)))
Calls

3 calls:

39.0ms
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
25.0ms
eps
25.0ms
x
Results
AccuracySegmentsBranch
92.7%2x
99.4%2eps
99.4%2(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes134.0ms (1.5%)

Counts
22 → 2
Calls
Call 1
Inputs
x
(*.f64 x -2)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(/.f64 1/2 (/.f64 x eps))
(/.f64 eps (+.f64 x x))
(-.f64 x (*.f64 eps (/.f64 -1/2 x)))
(/.f64 -1 (*.f64 x (/.f64 -2 eps)))
(+.f64 0 (*.f64 -1 (*.f64 eps (/.f64 -1/2 x))))
(-.f64 x (+.f64 x (/.f64 (*.f64 -1/2 eps) x)))
(-.f64 x (/.f64 1 (*.f64 -2 (/.f64 x eps))))
(/.f64 eps (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
(/.f64 eps (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
(-.f64 x (+.f64 x (/.f64 1 (/.f64 (*.f64 -2 x) eps))))
(/.f64 eps (+.f64 x (+.f64 (*.f64 eps (/.f64 -1/2 x)) x)))
(/.f64 eps (+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 x 2)))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(/.f64 eps (fma.f64 x 2 (/.f64 (*.f64 eps -1/2) x)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (/.f64 eps x) 2) x)) (*.f64 1/2 (/.f64 eps x)))
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
Outputs
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
(/.f64 eps (+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 x 2)))
Calls

2 calls:

97.0ms
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
36.0ms
eps
Results
AccuracySegmentsBranch
82.5%2eps
98.9%2(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes21.0ms (0.2%)

Counts
21 → 2
Calls
Call 1
Inputs
x
(*.f64 x -2)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(/.f64 1/2 (/.f64 x eps))
(/.f64 eps (+.f64 x x))
(-.f64 x (*.f64 eps (/.f64 -1/2 x)))
(/.f64 -1 (*.f64 x (/.f64 -2 eps)))
(+.f64 0 (*.f64 -1 (*.f64 eps (/.f64 -1/2 x))))
(-.f64 x (+.f64 x (/.f64 (*.f64 -1/2 eps) x)))
(-.f64 x (/.f64 1 (*.f64 -2 (/.f64 x eps))))
(/.f64 eps (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
(/.f64 eps (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
(-.f64 x (+.f64 x (/.f64 1 (/.f64 (*.f64 -2 x) eps))))
(/.f64 eps (+.f64 x (+.f64 (*.f64 eps (/.f64 -1/2 x)) x)))
(/.f64 eps (+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 x 2)))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(/.f64 eps (fma.f64 x 2 (/.f64 (*.f64 eps -1/2) x)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (/.f64 eps x) 2) x)) (*.f64 1/2 (/.f64 eps x)))
Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 eps (+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 x 2)))
Calls

1 calls:

19.0ms
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Results
AccuracySegmentsBranch
98.8%2(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes28.0ms (0.3%)

Counts
17 → 2
Calls
Call 1
Inputs
x
(*.f64 x -2)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(/.f64 1/2 (/.f64 x eps))
(/.f64 eps (+.f64 x x))
(-.f64 x (*.f64 eps (/.f64 -1/2 x)))
(/.f64 -1 (*.f64 x (/.f64 -2 eps)))
(+.f64 0 (*.f64 -1 (*.f64 eps (/.f64 -1/2 x))))
(-.f64 x (+.f64 x (/.f64 (*.f64 -1/2 eps) x)))
(-.f64 x (/.f64 1 (*.f64 -2 (/.f64 x eps))))
(/.f64 eps (+.f64 x (*.f64 -1/2 (/.f64 eps x))))
(/.f64 eps (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
(-.f64 x (+.f64 x (/.f64 1 (/.f64 (*.f64 -2 x) eps))))
(/.f64 eps (+.f64 x (+.f64 (*.f64 eps (/.f64 -1/2 x)) x)))
(/.f64 eps (+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 x 2)))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
Outputs
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(/.f64 eps (+.f64 x (+.f64 (*.f64 eps (/.f64 -1/2 x)) x)))
Calls

1 calls:

27.0ms
x
Results
AccuracySegmentsBranch
89.3%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes20.0ms (0.2%)

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

2 calls:

10.0ms
x
9.0ms
eps
Results
AccuracySegmentsBranch
49.2%1eps
49.2%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes203.0ms (2.3%)

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

2 calls:

193.0ms
eps
8.0ms
x
Results
AccuracySegmentsBranch
48.5%1x
48.5%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(*.f64 x -2)
Outputs
(*.f64 x -2)
Calls

2 calls:

4.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
5.4%1eps
5.4%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

2 calls:

3.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
3.5%1x
3.5%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.639938937337928e-153
-8.555878542657952e-156
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.639938937337928e-153
-8.555878542657952e-156
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.639938937337928e-153
-8.555878542657952e-156
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch15.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
1.2013301420280804e-90
7.95705451661944e-90
Results
6.0ms56×256valid
5.0ms24×512valid
1.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256invalid
0.0ms256valid
0.0ms256valid
0.0ms256invalid
0.0ms256valid
0.0ms256valid
0.0ms256invalid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 147 to 100 computations (32% saved)

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Rules
24×+-commutative
16×sub-neg
16×*-commutative
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047520
166520
278520
385520
488520
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 x 2))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488) (-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) (/.f64 eps (+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 x 2))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 x 2))))
(if (<=.f64 x 802724515596525/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 eps (/.f64 -1/2 x)) x))))
(/.f64 eps (+.f64 x (+.f64 (*.f64 eps (/.f64 -1/2 x)) x)))
(*.f64 1/2 (/.f64 eps x))
(*.f64 x -2)
x
Outputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 x 2))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488) (-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) (/.f64 eps (+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 x 2))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 (/.f64 eps (*.f64 x -2)) (*.f64 x 2))))
(if (<=.f64 x 802724515596525/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 eps (/.f64 -1/2 x)) x))))
(if (<=.f64 x 802724515596525/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 eps (/.f64 -1/2 x))))))
(/.f64 eps (+.f64 x (+.f64 (*.f64 eps (/.f64 -1/2 x)) x)))
(/.f64 eps (+.f64 x (+.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 x -2)
x
Compiler

Compiled 146 to 90 computations (38.4% saved)

soundness2.1s (23.8%)

Rules
1328×unpow-prod-down
1328×unpow-prod-down
1200×associate-*r*
1200×associate-*r*
1170×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01274
115074
2211470
074618381
1184616952
2643316740
092525674
1244922569
027203
1399191
25579191
074216685
1201114622
092525674
1244922569
025204
1393204
26934204
074618381
1184616952
2643316740
01274
115074
2211470
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 826 to 456 computations (44.8% saved)

end0.0ms (0%)

preprocess102.0ms (1.2%)

Compiler

Compiled 308 to 154 computations (50% saved)

Profiling

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