ENA, Section 1.4, Exercise 4d

Details

Time bar (total: 6.7s)

analyze17.0ms (0.3%)

Algorithm
1×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)

sample1.1s (16.2%)

Results
623.0ms5945×body256valid
243.0ms1111×body1024valid
183.0ms1161×body512valid
14.0ms194×body256invalid
14.0ms39×body2048valid
Bogosity

preprocess37.0ms (0.5%)

Algorithm
2×egg-herbie
Rules
444×fma-def
80×cancel-sign-sub-inv
80×sub-neg
56×distribute-lft-neg-in
52×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01346
12446
23846
36646
410546
520946
634646
749246
858846
963446
1064446
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x)))
Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify25.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
330×fma-def
48×distribute-rgt-in
48×sub-neg
44×unsub-neg
40×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11523
22323
33723
45823
510423
619723
726823
836823
944423
1050023
1150423
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

eval0.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
68.4%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶68.4%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶68.4%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 20 to 12 computations (40% saved)

localize32.0ms (0.5%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓100.0%
(-.f64 (*.f64 x x) eps)
✓68.4%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 27 to 7 computations (74.1% saved)

series6.0ms (0.1%)

Counts
3 → 56
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
1.0ms
eps
@inf
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
1.0ms
x
@0
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
1.0ms
eps
@0
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
0.0ms
eps
@inf
(sqrt.f64 (-.f64 (*.f64 x x) eps))

rewrite95.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1034×fma-def
938×log-prod
896×prod-exp
664×pow-prod-down
530×pow-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0953
120153
2288849
Stop Event
1×node limit
Counts
3 → 253
Calls
Call 1
Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(sqrt.f64 (-.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 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6)) (cbrt.f64 (-.f64 (*.f64 x x) 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 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 2)) (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 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 (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 (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 (*.f64 x x) eps) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (*.f64 x x) eps)))))
(*.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(/.f64 1 (/.f64 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (*.f64 x x) eps))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (neg.f64 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (*.f64 x x) eps)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3)) (fma.f64 x x (-.f64 (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2) (*.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2)) (-.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)))) 2) 1/2)
(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 (*.f64 x x) eps))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) -1)
(pow.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) 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 (+.f64 1 (expm1.f64 x)) (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(exp.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 2))
(log1p.f64 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(fma.f64 x 1 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 x 1 (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1))
(fma.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6)) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 1 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 1 x (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1))
(fma.f64 1 (-.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)))))
(fma.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6)) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 1 (-.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)))))
(fma.f64 1 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1))
(fma.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) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.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) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6)) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.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 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.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))))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.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))))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6)) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.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 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1))
(fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6)) x)
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) x)
(fma.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))))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.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))))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6)) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.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 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (*.f64 x x) eps)))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (*.f64 x x) eps)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6)) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (*.f64 x x) eps)))) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (/.f64 1 (+.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)))))
(fma.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6)) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (/.f64 1 (+.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)))))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2) (cbrt.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) x)
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(hypot.f64 (sqrt.f64 (neg.f64 eps)) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) eps)) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) eps)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) eps)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 (*.f64 x x) eps))) 2))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 (*.f64 x x) eps))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3) 1/3))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))

simplify120.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
796×fma-neg
652×cancel-sign-sub-inv
572×fma-def
456×exp-prod
448×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05698293
113457691
241277597
Stop Event
1×node limit
Counts
309 → 358
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) x)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) x))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) 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 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.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 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 2 x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 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 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 4) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))) x)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.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 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (*.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 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (*.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 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (*.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 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))))
x
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x))
(+.f64 (*.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))) x)))
(*.f64 -1 x)
(+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 -1 x)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 -1 x))))
x
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x))
(+.f64 (*.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))) x)))
(+.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 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6)) (cbrt.f64 (-.f64 (*.f64 x x) 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 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 2)) (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 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 (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 (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 (*.f64 x x) eps) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (*.f64 x x) eps)))))
(*.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(/.f64 1 (/.f64 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (*.f64 x x) eps))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)) (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (*.f64 x x) eps))))
(/.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps)) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) (neg.f64 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (*.f64 x x) eps)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) eps))) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3)) (fma.f64 x x (-.f64 (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2) (*.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 2)) (-.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)))) 2) 1/2)
(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 (*.f64 x x) eps))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) -1)
(pow.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (-.f64 (*.f64 x x) (-.f64 (*.f64 x x) 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 (+.f64 1 (expm1.f64 x)) (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(exp.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) 2))
(log1p.f64 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(fma.f64 x 1 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 x 1 (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1))
(fma.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6)) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 1 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 1 x (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1))
(fma.f64 1 (-.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)))))
(fma.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6)) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 1 (-.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)))))
(fma.f64 1 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1))
(fma.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) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.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) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6)) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.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 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.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))))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.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))))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6)) (cbrt.f64 (-.f64 (*.f64 x x) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.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 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1))
(fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) (neg.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6)) x)
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(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (neg.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 (neg.f64 eps) 1))
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 5/6) (pow.f64 (-.f64 (*.f64 x x) eps) 1/6) (fma.f64 (neg.f64 eps) 1 eps))
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 5/6) (pow.f64 (-.f64 (*.f64 x x) eps) 1/6) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 5/6) (pow.f64 (-.f64 (*.f64 x x) eps) 1/6) (+.f64 (neg.f64 eps) eps))
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) 1)
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6) (cbrt.f64 (-.f64 (*.f64 x x) eps)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/6))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (hypot.f64 x (sqrt.f64 eps)))
(pow.f64 (-.f64 (*.f64 x x) eps) 1/2)
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) 1)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6) 3)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 3/2)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2) 1/4)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3) 1/6)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 1/3)
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(hypot.f64 (sqrt.f64 (neg.f64 eps)) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) eps)) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) eps)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) eps)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 (*.f64 x x) eps))) 2))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 (*.f64 x x) eps))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3) 1/3))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
Outputs
(*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(neg.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(*.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) x)
(-.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) x))
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) x))
(-.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) x) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) x)))
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) (fma.f64 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) x)))
(-.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (fma.f64 (/.f64 (*.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(-.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (fma.f64 1/8 (*.f64 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(*.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 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.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 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) -1/8) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (*.f64 (pow.f64 eps 4) 1/64)) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 4) 5/64) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2))
(fma.f64 x 2 (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8)))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 x 2 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8)))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 x 2 (/.f64 (*.f64 eps (*.f64 eps -1/8)) (pow.f64 x 3))))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 x 2 (fma.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8 (*.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 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 4) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))) x)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/2 (/.f64 (pow.f64 eps 4) (/.f64 x (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (/.f64 1/16 (pow.f64 x 6))))) (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))))
(fma.f64 1/2 (*.f64 (/.f64 (pow.f64 eps 4) x) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (/.f64 1/16 (pow.f64 x 6)))) (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/2 (*.f64 (/.f64 (pow.f64 eps 4) x) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (/.f64 1/16 (pow.f64 x 6)))) (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))))
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps))
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) 1/2))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (/.f64 x (/.f64 (sqrt.f64 -1) x)) 1/2)))
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) 1/2)))
(fma.f64 (*.f64 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) -1/8 (fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (/.f64 x (/.f64 (sqrt.f64 -1) x)) 1/2))))
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (*.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 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))))
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) (*.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 (*.f64 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) -1/8 (fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) 1/2 (*.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 (*.f64 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) -1/8 (fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) 1/16)))))
x
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(fma.f64 -1/2 (/.f64 eps x) x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 -1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) x))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8 x))
(+.f64 (*.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))) x)))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) x)))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16 (fma.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8 x)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 -1 x))
(fma.f64 1/2 (/.f64 eps x) (neg.f64 x))
(-.f64 (*.f64 1/2 (/.f64 eps x)) x)
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 -1 x)))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (neg.f64 x)))
(-.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x))) x)
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(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6) (pow.f64 (-.f64 (*.f64 x x) eps) 5/6) (-.f64 eps eps))
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6) (pow.f64 (-.f64 (*.f64 x x) eps) 5/6) 0)
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 5/6) (pow.f64 (-.f64 (*.f64 x x) eps) 1/6) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 5/6) (pow.f64 (-.f64 (*.f64 x x) eps) 1/6) (+.f64 eps (neg.f64 eps)))
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6) (pow.f64 (-.f64 (*.f64 x x) eps) 5/6) (-.f64 eps eps))
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6) (pow.f64 (-.f64 (*.f64 x x) eps) 5/6) 0)
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 5/6) (pow.f64 (-.f64 (*.f64 x x) eps) 1/6) (+.f64 (neg.f64 eps) eps))
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 5/6) (pow.f64 (-.f64 (*.f64 x x) eps) 1/6) (+.f64 eps (neg.f64 eps)))
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6) (pow.f64 (-.f64 (*.f64 x x) eps) 5/6) (-.f64 eps eps))
(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6) (pow.f64 (-.f64 (*.f64 x x) eps) 5/6) 0)
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) 1)
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) 1)
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6) (cbrt.f64 (-.f64 (*.f64 x x) eps)))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/6))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (hypot.f64 x (sqrt.f64 eps)))
(pow.f64 (-.f64 (*.f64 x x) eps) 1/2)
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) 1)
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6) 3)
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 3/2)
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2) 1/4)
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3) 1/6)
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2) 1/3)
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(hypot.f64 (sqrt.f64 (neg.f64 eps)) x)
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) eps)) 1/2))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) eps)) 1) 1/2))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) eps)) 1/2) 1))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 1) 1))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/6)) 3))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 (*.f64 x x) eps))) 2))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 (*.f64 x x) eps))) 1/3))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3) 1/3))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))

eval97.0ms (1.4%)

Compiler

Compiled 6411 to 2671 computations (58.3% saved)

prune75.0ms (1.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New34612358
Fresh000
Picked011
Done000
Total34613359
Accurracy
99.6%
Counts
359 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.0%
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))
▶81.9%
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
81.8%
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps)))
66.1%
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
7.9%
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
▶68.4%
(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓68.4%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶63.5%
(-.f64 x (sqrt.f64 (neg.f64 eps)))
4.2%
(-.f64 x x)
▶3.4%
(+.f64 x x)
67.8%
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
▶38.2%
(*.f64 1/2 (/.f64 eps x))
45.3%
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3))
34.0%
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))
▶81.9%
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
81.8%
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps)))
66.1%
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
7.9%
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
▶68.4%
(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓68.4%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶63.5%
(-.f64 x (sqrt.f64 (neg.f64 eps)))
4.2%
(-.f64 x x)
▶3.4%
(+.f64 x x)
67.8%
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
▶38.2%
(*.f64 1/2 (/.f64 eps x))
45.3%
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3))
Compiler

Compiled 568 to 356 computations (37.3% saved)

localize78.0ms (1.2%)

Local Accuracy

Found 5 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(sqrt.f64 (fma.f64 x x (neg.f64 eps)))
✓83.7%
(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓100.0%
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
✓100.0%
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
✓99.5%
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
Compiler

Compiled 81 to 17 computations (79% saved)

series20.0ms (0.3%)

Counts
5 → 71
Calls

30 calls:

TimeVariablePointExpression
4.0ms
eps
@inf
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
4.0ms
eps
@-inf
(/.f64 eps (+.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)))))
1.0ms
x
@inf
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))

rewrite113.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1264×log-prod
866×pow-prod-down
842×fma-def
652×pow-prod-up
634×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01499
131279
2391179
Stop Event
1×node limit
Counts
5 → 283
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 (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(sqrt.f64 (fma.f64 x x (neg.f64 eps)))
Outputs
(+.f64 0 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) (cbrt.f64 (exp.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))) (log.f64 (sqrt.f64 (exp.f64 (/.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 (/.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 1 (+.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 eps) (*.f64 (sqrt.f64 eps) (/.f64 1 (+.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 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 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) 1) (/.f64 (cbrt.f64 eps) (+.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) 1) (/.f64 (sqrt.f64 eps) (+.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 (fma.f64 x x eps) 3/2))) (-.f64 (fma.f64 x x (fma.f64 x x eps)) (*.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 eps (-.f64 (*.f64 x x) (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 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps) -2) 1/2)
(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)
(pow.f64 (/.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps) 1) -1)
(neg.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 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)))))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))))
(log.f64 (/.f64 1 (+.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))))))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) -1))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.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)))))
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(fma.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 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 1 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (cbrt.f64 (fma.f64 x x eps)) (hypot.f64 x (sqrt.f64 eps))))
(fma.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 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (cbrt.f64 (fma.f64 x x eps)) (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 1))
(fma.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 1 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (cbrt.f64 (fma.f64 x x eps)) (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (pow.f64 (fma.f64 x x eps) 1/4) (neg.f64 (pow.f64 (fma.f64 x x eps) 1/4)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 1))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 1 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (cbrt.f64 (fma.f64 x x eps)) (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 -1 (hypot.f64 x (sqrt.f64 eps)) x)
(fma.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 1 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (cbrt.f64 (fma.f64 x x eps)) (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) (cbrt.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))))) (cbrt.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) x)
(fma.f64 (sqrt.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) (sqrt.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) x)
(fma.f64 (neg.f64 (pow.f64 (fma.f64 x x eps) 1/4)) (pow.f64 (fma.f64 x x eps) 1/4) x)
(fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x x eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x eps) 1/4)) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 1 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x eps) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (cbrt.f64 (fma.f64 x x eps)) (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x eps) 1/4)) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (-.f64 (*.f64 x x) (fma.f64 x x eps))) (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 1 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (-.f64 (*.f64 x x) (fma.f64 x x eps))) (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (cbrt.f64 (fma.f64 x x eps)) (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (-.f64 (*.f64 x x) (fma.f64 x x eps))) (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2))) (-.f64 (fma.f64 x x (fma.f64 x x eps)) (*.f64 x (hypot.f64 x (sqrt.f64 eps)))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 1 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2))) (-.f64 (fma.f64 x x (fma.f64 x x eps)) (*.f64 x (hypot.f64 x (sqrt.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (cbrt.f64 (fma.f64 x x eps)) (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2))) (-.f64 (fma.f64 x x (fma.f64 x x eps)) (*.f64 x (hypot.f64 x (sqrt.f64 eps)))) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (hypot.f64 x (sqrt.f64 eps))))
(+.f64 0 (hypot.f64 x (sqrt.f64 eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 eps)))) (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 eps)))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 eps))))) (log.f64 (sqrt.f64 (exp.f64 (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 (fma.f64 x x eps)) (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))) (cbrt.f64 (fma.f64 x x eps)))
(*.f64 (pow.f64 (fma.f64 x x eps) 1/4) (pow.f64 (fma.f64 x x eps) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x eps)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x eps))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x eps)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x eps)) 1/2))
(pow.f64 (fma.f64 x x eps) 1/2)
(pow.f64 (hypot.f64 x (sqrt.f64 eps)) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))) 3)
(pow.f64 (pow.f64 (fma.f64 x x eps) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x eps) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x eps) 3/2) 1/3)
(fabs.f64 (hypot.f64 x (sqrt.f64 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 (fma.f64 x x eps) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 eps))))
(hypot.f64 x (sqrt.f64 eps))
(hypot.f64 (sqrt.f64 eps) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x eps)) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x eps)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x eps)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x eps) 1/4)) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x eps) 3/2)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))) 3) 1/3))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 eps))))

simplify155.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
874×fma-def
840×fma-neg
728×log-prod
584×associate-*r*
462×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071714502
1182311950
2686211880
Stop Event
1×node limit
Counts
354 → 410
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (*.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 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3))) (*.f64 -1/32 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 x 5)))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 eps (*.f64 (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3))) (*.f64 -1/32 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (*.f64 1/64 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 4))) (*.f64 1/128 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 6))))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3))) (*.f64 -1/32 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 x 5))))))
(*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.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 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))))))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (+.f64 (*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps)) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2))) 2) (*.f64 1/16 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8)))) (*.f64 eps (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 5))))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3)))))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps))
(+.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 x (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 x (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3)))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))))))
(*.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (*.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))) (*.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2))) 2) (*.f64 1/16 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8)))) (pow.f64 x 7))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))) (*.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))))
(*.f64 2 x)
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
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(fma.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) (cbrt.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))))) (cbrt.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) x)
(fma.f64 (sqrt.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) (sqrt.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) x)
(fma.f64 (neg.f64 (pow.f64 (fma.f64 x x eps) 1/4)) (pow.f64 (fma.f64 x x eps) 1/4) x)
(fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x x eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x eps) 1/4)) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 1 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x eps) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (cbrt.f64 (fma.f64 x x eps)) (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x eps) 1/4)) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (-.f64 (*.f64 x x) (fma.f64 x x eps))) (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 1 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (-.f64 (*.f64 x x) (fma.f64 x x eps))) (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (cbrt.f64 (fma.f64 x x eps)) (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (-.f64 (*.f64 x x) (fma.f64 x x eps))) (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2))) (-.f64 (fma.f64 x x (fma.f64 x x eps)) (*.f64 x (hypot.f64 x (sqrt.f64 eps)))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 1 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2))) (-.f64 (fma.f64 x x (fma.f64 x x eps)) (*.f64 x (hypot.f64 x (sqrt.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (cbrt.f64 (fma.f64 x x eps)) (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x eps)) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2))) (-.f64 (fma.f64 x x (fma.f64 x x eps)) (*.f64 x (hypot.f64 x (sqrt.f64 eps)))) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (hypot.f64 x (sqrt.f64 eps))))
(+.f64 0 (hypot.f64 x (sqrt.f64 eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 eps)))) (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 eps)))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 eps))))) (log.f64 (sqrt.f64 (exp.f64 (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 (fma.f64 x x eps)) (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))) (cbrt.f64 (fma.f64 x x eps)))
(*.f64 (pow.f64 (fma.f64 x x eps) 1/4) (pow.f64 (fma.f64 x x eps) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x eps)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x eps))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x eps)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x eps)) 1/2))
(pow.f64 (fma.f64 x x eps) 1/2)
(pow.f64 (hypot.f64 x (sqrt.f64 eps)) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))) 3)
(pow.f64 (pow.f64 (fma.f64 x x eps) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x eps) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x eps) 3/2) 1/3)
(fabs.f64 (hypot.f64 x (sqrt.f64 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 (fma.f64 x x eps) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 eps))))
(hypot.f64 x (sqrt.f64 eps))
(hypot.f64 (sqrt.f64 eps) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x eps)) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x eps)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x eps)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x eps) 1/4)) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x eps) 3/2)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))) 3) 1/3))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 eps))))
Outputs
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (/.f64 (neg.f64 x) (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x 1))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (neg.f64 (*.f64 (fma.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 x x)))))
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (-.f64 (/.f64 x 1) (*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (neg.f64 (sqrt.f64 -1))) -1/2) (*.f64 x x))))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (*.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 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))))
(fma.f64 (-.f64 (/.f64 1/2 (*.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (fma.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))))) (pow.f64 x 3) (fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (neg.f64 (*.f64 (fma.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 x x))))))
(+.f64 (-.f64 (/.f64 x 1) (*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (neg.f64 (sqrt.f64 -1))) -1/2) (*.f64 x x))) (fma.f64 (+.f64 (/.f64 1/2 eps) (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (neg.f64 (sqrt.f64 -1))) -1/2) (sqrt.f64 -1)))) (pow.f64 x 3) (/.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 (*.f64 eps eps) 1/8) (pow.f64 x 3)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3))) (*.f64 -1/32 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 x 5)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) (fma.f64 1/2 (/.f64 eps x) (neg.f64 (/.f64 (*.f64 -1/32 (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3)))) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 eps (*.f64 (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3))) (*.f64 -1/32 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (*.f64 1/64 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 4))) (*.f64 1/128 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 6))))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3))) (*.f64 -1/32 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 x 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) (fma.f64 -1 (/.f64 (fma.f64 -1/4 (*.f64 eps (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -1/32 (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3)))))) (fma.f64 1/64 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 4)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 4)) 1/128))) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (neg.f64 (/.f64 (*.f64 -1/32 (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3)))) (pow.f64 x 5))))))
(+.f64 (/.f64 (neg.f64 (fma.f64 -1/4 (*.f64 eps (*.f64 (pow.f64 eps 3) 1/16)) (*.f64 (*.f64 -1 (pow.f64 eps 4)) 3/128))) (pow.f64 x 7)) (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))))
(*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (*.f64 -2 x) (pow.f64 (sqrt.f64 -1) 2))
(/.f64 -2 (/.f64 -1 x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 -1/2 (/.f64 eps x) (/.f64 (*.f64 -2 x) (pow.f64 (sqrt.f64 -1) 2)))
(fma.f64 (/.f64 eps x) -1/2 (/.f64 -2 (/.f64 -1 x)))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.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 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 1/4 (*.f64 eps eps)) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3)))))
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 (/.f64 x -1) -2 (*.f64 (/.f64 (*.f64 eps (neg.f64 eps)) (pow.f64 x 3)) 1/8)))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (+.f64 (*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps)) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2))) 2) (*.f64 1/16 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8)))) (*.f64 eps (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 5))))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3)))))))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 4))) (fma.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 1/4 (/.f64 (*.f64 (fma.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 eps eps)) (*.f64 (*.f64 -1/8 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 eps eps))) (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 x 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) (fma.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 eps eps))) 2) (*.f64 1/16 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8)))) (*.f64 eps (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 5)))) (/.f64 (*.f64 (*.f64 1/4 (*.f64 eps eps)) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))))))))
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 (/.f64 x -1) -2 (fma.f64 1/4 (*.f64 (/.f64 (*.f64 (*.f64 eps (neg.f64 eps)) 1/8) (pow.f64 x 5)) (neg.f64 eps)) (+.f64 (*.f64 (/.f64 (*.f64 eps (neg.f64 eps)) (pow.f64 x 3)) 1/8) (/.f64 -2 (/.f64 (*.f64 eps (pow.f64 x 5)) (fma.f64 (pow.f64 eps 4) 1/16 (*.f64 1/64 (pow.f64 eps 4))))))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps))
(+.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 -1) (sqrt.f64 eps))))
(+.f64 x (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))
(+.f64 x (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 x (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))))
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (+.f64 x (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))))
(+.f64 x (fma.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (neg.f64 (sqrt.f64 -1))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))
(fma.f64 2 x (*.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 (/.f64 eps x) -1/2 (*.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3)))))
(fma.f64 2 x (fma.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (*.f64 eps eps))))))
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 -1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))))))
(fma.f64 2 x (fma.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (/.f64 (pow.f64 x 5) (pow.f64 eps 3))) (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (*.f64 eps eps)))))))
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (fma.f64 -1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (/.f64 (*.f64 (pow.f64 eps 3) -1/16) (pow.f64 x 5)))))
(*.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (*.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))
(fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 (*.f64 eps eps) 1/8) (pow.f64 x 3)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))) (*.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x))))
(fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) (fma.f64 1/2 (/.f64 eps x) (neg.f64 (/.f64 (*.f64 -1/32 (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3)))) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2))) 2) (*.f64 1/16 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8)))) (pow.f64 x 7))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))) (*.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))))
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 eps eps))) 2) (*.f64 1/16 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8)))) (pow.f64 x 7)) (fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) (fma.f64 -1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (/.f64 (pow.f64 x 5) (pow.f64 eps 3))) -1/16))))
(fma.f64 1/2 (/.f64 (fma.f64 (pow.f64 eps 4) 1/16 (*.f64 1/64 (pow.f64 eps 4))) (pow.f64 x 7)) (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))))
(*.f64 2 x)
(*.f64 x 2)
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps))
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))
(fma.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (neg.f64 (sqrt.f64 -1))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (*.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 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))))
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) (*.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 -1/8 (/.f64 (*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (neg.f64 (sqrt.f64 -1))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) 1/16)))))
x
(+.f64 (*.f64 1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) x)
(fma.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) x)
(fma.f64 (/.f64 eps x) -1/2 x)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) x))
(fma.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) x))
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 -1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) x))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) x)))
(fma.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (/.f64 (pow.f64 x 5) (pow.f64 eps 3))) (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) x)))
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) x)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))
(fma.f64 -1 x (*.f64 -1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 1/2 (/.f64 eps x) (neg.f64 x))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (*.f64 -1 x) (*.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x))))
(fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) (fma.f64 -1 x (*.f64 -1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (neg.f64 x)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) (fma.f64 -1 x (fma.f64 -1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (/.f64 (pow.f64 x 5) (pow.f64 eps 3))) -1/16))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (-.f64 (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))) x))
x
(*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(neg.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(*.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) x)
(-.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) x))
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) x))
(-.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) x) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) x)))
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) (fma.f64 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) x)))
(-.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) (fma.f64 (/.f64 (*.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(*.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 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 (*.f64 eps eps) 1/8) (pow.f64 x 3)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) (fma.f64 1/2 (/.f64 eps x) (neg.f64 (/.f64 (*.f64 -1/32 (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3)) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3)))) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 eps 2)) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 eps eps))) 2) (*.f64 1/16 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8)))) (pow.f64 x 7)) (fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) (fma.f64 -1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (/.f64 (pow.f64 x 5) (pow.f64 eps 3))) -1/16))))
(fma.f64 1/2 (/.f64 (fma.f64 (pow.f64 eps 4) 1/16 (*.f64 1/64 (pow.f64 eps 4))) (pow.f64 x 7)) (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(fma.f64 2 x (*.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 (/.f64 eps x) -1/2 (*.f64 x 2))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(fma.f64 2 x (fma.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (*.f64 eps eps))))))
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 -1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 x 2)))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(fma.f64 2 x (fma.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (/.f64 (pow.f64 x 5) (pow.f64 eps 3))) (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (*.f64 eps eps)))))))
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (fma.f64 -1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (/.f64 (*.f64 (pow.f64 eps 3) -1/16) (pow.f64 x 5)))))
(*.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 (sqrt.f64 -1) 2) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 (*.f64 eps eps) 1/8) (pow.f64 x 3)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
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(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x eps)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x eps)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x eps)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x eps))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x eps))) (sqrt.f64 (cbrt.f64 (fma.f64 x x eps))))
(pow.f64 (fma.f64 x x eps) 1/2)
(hypot.f64 x (sqrt.f64 eps))
(pow.f64 (hypot.f64 x (sqrt.f64 eps)) 1)
(hypot.f64 x (sqrt.f64 eps))
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))) 3)
(hypot.f64 x (sqrt.f64 eps))
(pow.f64 (pow.f64 (fma.f64 x x eps) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x eps) 1/4) 2)
(hypot.f64 x (sqrt.f64 eps))
(pow.f64 (pow.f64 (fma.f64 x x eps) 3/2) 1/3)
(hypot.f64 x (sqrt.f64 eps))
(fabs.f64 (hypot.f64 x (sqrt.f64 eps)))
(hypot.f64 x (sqrt.f64 eps))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 eps))))
(hypot.f64 x (sqrt.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 eps)))))
(hypot.f64 x (sqrt.f64 eps))
(cbrt.f64 (pow.f64 (fma.f64 x x eps) 3/2))
(hypot.f64 x (sqrt.f64 eps))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 eps))))
(hypot.f64 x (sqrt.f64 eps))
(hypot.f64 x (sqrt.f64 eps))
(hypot.f64 (sqrt.f64 eps) x)
(hypot.f64 x (sqrt.f64 eps))
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))))
(hypot.f64 x (sqrt.f64 eps))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x eps)) 1/2))
(hypot.f64 x (sqrt.f64 eps))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))) 1))
(hypot.f64 x (sqrt.f64 eps))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x eps)) 1) 1/2))
(hypot.f64 x (sqrt.f64 eps))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x eps)) 1/2) 1))
(hypot.f64 x (sqrt.f64 eps))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))) 1) 1))
(hypot.f64 x (sqrt.f64 eps))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))) 3))
(hypot.f64 x (sqrt.f64 eps))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x eps) 1/4)) 2))
(hypot.f64 x (sqrt.f64 eps))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x eps) 3/2)) 1/3))
(hypot.f64 x (sqrt.f64 eps))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 eps))) 3) 1/3))
(hypot.f64 x (sqrt.f64 eps))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 eps))))
(hypot.f64 x (sqrt.f64 eps))

eval110.0ms (1.6%)

Compiler

Compiled 8623 to 3914 computations (54.6% saved)

prune80.0ms (1.2%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New4073410
Fresh167
Picked055
Done011
Total40815423
Accurracy
99.7%
Counts
423 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.0%
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 (*.f64 eps eps) 1/8) (pow.f64 x 3)))
39.6%
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (*.f64 x 2)))
▶39.6%
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))
✓81.9%
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
▶81.8%
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps)))
▶66.1%
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
7.9%
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓68.4%
(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓68.4%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓63.5%
(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶4.2%
(-.f64 x x)
✓3.4%
(+.f64 x x)
67.8%
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
✓38.2%
(*.f64 1/2 (/.f64 eps x))
▶45.3%
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3))
34.0%
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 (*.f64 eps eps) 1/8) (pow.f64 x 3)))
39.6%
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (*.f64 x 2)))
▶39.6%
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))
✓81.9%
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
▶81.8%
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps)))
▶66.1%
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
7.9%
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓68.4%
(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓68.4%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓63.5%
(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶4.2%
(-.f64 x x)
✓3.4%
(+.f64 x x)
67.8%
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
✓38.2%
(*.f64 1/2 (/.f64 eps x))
▶45.3%
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3))
Compiler

Compiled 584 to 364 computations (37.7% saved)

localize149.0ms (2.2%)

Local Accuracy

Found 13 expressions with local accuracy:

NewAccuracyProgram
100.0%
(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
✓99.5%
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3)
✓83.7%
(-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
✓64.6%
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3))
✓100.0%
(hypot.f64 (sqrt.f64 (neg.f64 eps)) x)
✓83.7%
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
✓100.0%
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
✓100.0%
(fma.f64 (/.f64 eps x) -1/2 x)
✓99.9%
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -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 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps))
✓99.6%
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps)))
Compiler

Compiled 170 to 35 computations (79.4% saved)

series47.0ms (0.7%)

Counts
10 → 159
Calls

60 calls:

TimeVariablePointExpression
9.0ms
eps
@-inf
(-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
5.0ms
eps
@inf
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3)
4.0ms
eps
@0
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3)
4.0ms
eps
@-inf
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3)
2.0ms
x
@inf
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3)

rewrite99.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
614×add-sqr-sqrt
598×pow1
592×*-un-lft-identity
572×add-exp-log
572×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027276
1633188
Stop Event
1×node limit
Counts
10 → 399
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps)))
(/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps))
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))
(fma.f64 (/.f64 eps x) -1/2 x)
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
(hypot.f64 (sqrt.f64 (neg.f64 eps)) x)
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3))
(-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3)
Outputs
(+.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (cbrt.f64 (fma.f64 x x eps)) (hypot.f64 x (sqrt.f64 eps))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))) (hypot.f64 x (sqrt.f64 eps))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 0))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (*.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(+.f64 (fma.f64 1 x (neg.f64 (*.f64 (hypot.f64 x (sqrt.f64 eps)) 1))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 1 (*.f64 (hypot.f64 x (sqrt.f64 eps)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (hypot.f64 x (sqrt.f64 eps)) 1))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 1 (*.f64 (hypot.f64 x (sqrt.f64 eps)) 1)))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (hypot.f64 x (sqrt.f64 eps)) 1))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 1 (*.f64 (hypot.f64 x (sqrt.f64 eps)) 1)))
(+.f64 (*.f64 x 1) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 1))
(+.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 0) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(+.f64 (*.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) 1)
(-.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 (fma.f64 x x eps) (*.f64 x (hypot.f64 x (sqrt.f64 eps)))))) (/.f64 (pow.f64 (fma.f64 x x eps) 3/2) (fma.f64 x x (+.f64 (fma.f64 x x eps) (*.f64 x (hypot.f64 x (sqrt.f64 eps)))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (/.f64 (fma.f64 x x eps) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(*.f64 eps (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (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 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) 1/3))
(*.f64 (cbrt.f64 (pow.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 -1 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2)) (/.f64 1 (fma.f64 x x (+.f64 (fma.f64 x x eps) (*.f64 x (hypot.f64 x (sqrt.f64 eps)))))))
(*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) eps)
(*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 (/.f64 1 eps) -1))
(*.f64 (pow.f64 1 1/3) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(*.f64 (pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) 1/3) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3/2) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) -1))
(*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) 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 (cbrt.f64 (*.f64 eps eps)) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2)) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) (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 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 1) eps)
(*.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps))
(*.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (sqrt.f64 eps)) (sqrt.f64 eps))
(pow.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps) -1)
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 1)
(pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) 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)))))
(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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) -1))
(log1p.f64 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(fma.f64 1 x (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(-.f64 0 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))) 1)
(*.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))
(*.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) (/.f64 1 eps))
(*.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) (neg.f64 (/.f64 1 eps)))
(*.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) 2) (cbrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) 2) (neg.f64 (cbrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2) (*.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (/.f64 1 eps)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) (sqrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (*.f64 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (/.f64 1 eps)))
(*.f64 -1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2))) (neg.f64 (fma.f64 x x (+.f64 (fma.f64 x x eps) (*.f64 x (hypot.f64 x (sqrt.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) (*.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 eps)))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))) (-.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 eps)))))
(pow.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps) -1)
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 1)
(pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) 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)))))
(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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) -1))
(log1p.f64 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(fma.f64 1 x (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(+.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) x) (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) (neg.f64 (hypot.f64 x (sqrt.f64 eps)))))
(+.f64 (*.f64 x (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2)) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3))) 1)
(*.f64 1 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3))
(*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (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 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2)))
(*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (*.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2)))
(*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3/2) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2)) 3) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3) (pow.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3))
(*.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) 1) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(*.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) (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 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) eps)
(/.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))
(/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2)) 3) (pow.f64 (fma.f64 x x (+.f64 (fma.f64 x x eps) (*.f64 x (hypot.f64 x (sqrt.f64 eps))))) 3))
(sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)))
(exp.f64 (*.f64 3 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)))

simplify178.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
1538×fma-def
830×times-frac
580×associate-+r+
498×*-commutative
454×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
098324190
1279320262
Stop Event
1×node limit
Counts
558 → 554
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (*.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 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3))) (*.f64 -1/32 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 x 5)))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 eps (*.f64 (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3))) (*.f64 -1/32 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (*.f64 1/64 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 4))) (*.f64 1/128 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 6))))) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 3))) (*.f64 -1/32 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 x 5))))))
(*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.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 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3))))))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 5))) (+.f64 (*.f64 -2 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps)) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2))) 2) (*.f64 1/16 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8)))) (*.f64 eps (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 5))))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 eps 2)) (pow.f64 x 3)))))))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps)))
(+.f64 (/.f64 x eps) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps))))
(+.f64 (/.f64 x eps) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps)))))
(+.f64 (/.f64 x eps) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps))))))
(*.f64 2 (/.f64 x eps))
(+.f64 (*.f64 2 (/.f64 x eps)) (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 x eps)) (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 x eps)) (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)))))
(*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 3))) (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 3))) (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 6)) (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2))) 2) (*.f64 1/16 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8)))) (*.f64 eps (pow.f64 x 7)))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 x 3))) (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)))))
(*.f64 2 (/.f64 x eps))
(*.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 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.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 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 -2 x)
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x))
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))))
(*.f64 -2 x)
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x))
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))))
(*.f64 -2 x)
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (*.f64 -2 x))
(+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))
(+.f64 (*.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (*.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 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)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.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 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.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 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 eps x)) (*.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 (*.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
x
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(*.f64 -1/2 (/.f64 eps x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(*.f64 -1/2 (/.f64 eps x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(*.f64 -1/2 (/.f64 eps x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
x
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
x
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(*.f64 -1/2 (/.f64 eps x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(*.f64 2 x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(*.f64 2 x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(*.f64 2 x)
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(*.f64 -1/2 (/.f64 eps x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
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(*.f64 -1/2 (/.f64 eps x))
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(*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) 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 (cbrt.f64 (*.f64 eps eps)) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2)) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) (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 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 1) eps)
(*.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps))
(*.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (sqrt.f64 eps)) (sqrt.f64 eps))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 (fma.f64 x x eps) (*.f64 x (hypot.f64 x (sqrt.f64 eps))))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2))))
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))
(/.f64 (*.f64 eps eps) (*.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))
(/.f64 (pow.f64 eps 3) (*.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) (*.f64 eps eps)))
(/.f64 -1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2)) (fma.f64 x x (+.f64 (fma.f64 x x eps) (*.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2))) (neg.f64 (fma.f64 x x (+.f64 (fma.f64 x x eps) (*.f64 x (hypot.f64 x (sqrt.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) (*.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 eps)))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))) (-.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 eps)))))
(pow.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps) -1)
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 1)
(pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) 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))))))
(expm1.f64 (log1p.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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) -1))
(log1p.f64 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(fma.f64 1 x (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(+.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (cbrt.f64 (fma.f64 x x eps)) (hypot.f64 x (sqrt.f64 eps))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))) (hypot.f64 x (sqrt.f64 eps))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 0))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (*.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(+.f64 (fma.f64 1 x (neg.f64 (*.f64 (hypot.f64 x (sqrt.f64 eps)) 1))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 1 (*.f64 (hypot.f64 x (sqrt.f64 eps)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (hypot.f64 x (sqrt.f64 eps)) 1))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 1 (*.f64 (hypot.f64 x (sqrt.f64 eps)) 1)))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (hypot.f64 x (sqrt.f64 eps)) 1))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 1 (*.f64 (hypot.f64 x (sqrt.f64 eps)) 1)))
(+.f64 (*.f64 x 1) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 1))
(+.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 0) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(+.f64 (*.f64 0 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(*.f64 1 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(*.f64 eps (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (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 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) 1/3))
(*.f64 (cbrt.f64 (pow.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 -1 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2)) (/.f64 1 (fma.f64 x x (+.f64 (fma.f64 x x eps) (*.f64 x (hypot.f64 x (sqrt.f64 eps)))))))
(*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) eps)
(*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 (/.f64 1 eps) -1))
(*.f64 (pow.f64 1 1/3) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(*.f64 (pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) 1/3) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3/2) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)) -1))
(*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) 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 (cbrt.f64 (*.f64 eps eps)) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2)) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) (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 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) 1) eps)
(*.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps))
(*.f64 (*.f64 (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (sqrt.f64 eps)) (sqrt.f64 eps))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 (fma.f64 x x eps) (*.f64 x (hypot.f64 x (sqrt.f64 eps))))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2))))
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))
(/.f64 (*.f64 eps eps) (*.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))
(/.f64 (pow.f64 eps 3) (*.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) (*.f64 eps eps)))
(/.f64 -1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2)) (fma.f64 x x (+.f64 (fma.f64 x x eps) (*.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2))) (neg.f64 (fma.f64 x x (+.f64 (fma.f64 x x eps) (*.f64 x (hypot.f64 x (sqrt.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) (*.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 eps)))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))) (-.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 eps)))))
(pow.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps) -1)
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 1)
(pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) 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)))))
(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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) -1))
(log1p.f64 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(fma.f64 1 x (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(+.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) x) (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) (neg.f64 (hypot.f64 x (sqrt.f64 eps)))))
(+.f64 (*.f64 x (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2)) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3))) 1)
(*.f64 1 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3))
(*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (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 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2)))
(*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (*.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2)))
(*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3/2) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2)) 3) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3) (pow.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3))
(*.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) 1) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(*.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) (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 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) eps)
(/.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))
(/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2)) 3) (pow.f64 (fma.f64 x x (+.f64 (fma.f64 x x eps) (*.f64 x (hypot.f64 x (sqrt.f64 eps))))) 3))
(sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)))
(exp.f64 (*.f64 3 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)))
Outputs
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(/.f64 (*.f64 1 (sqrt.f64 eps)) (sqrt.f64 -1))
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (/.f64 (neg.f64 x) (pow.f64 (sqrt.f64 -1) 2)))
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1))
(+.f64 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (neg.f64 (*.f64 (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) 1/2)) (*.f64 x x)))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (neg.f64 (sqrt.f64 -1))) -1/2) (*.f64 x x)))
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(fma.f64 2 x (fma.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (/.f64 (pow.f64 x 5) (pow.f64 eps 3))) (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (*.f64 eps eps)))))))
(+.f64 (fma.f64 x 2 (fma.f64 1/2 (/.f64 (neg.f64 eps) x) (/.f64 -1/8 (/.f64 (pow.f64 x 3) (*.f64 eps eps))))) (/.f64 -1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))
x
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps))
(+.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 eps))) (/.f64 (*.f64 x x) (sqrt.f64 -1))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 eps))) (/.f64 (*.f64 x x) (sqrt.f64 -1))))
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x
(+.f64 (*.f64 1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)) x)
(fma.f64 1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) x)
(fma.f64 1/2 (/.f64 (neg.f64 eps) x) x)
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(*.f64 -1 x)
(neg.f64 x)
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(fma.f64 -1 x (*.f64 -1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 -1/2 (/.f64 (neg.f64 eps) x) (neg.f64 x))
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(*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(neg.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) x)
(-.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) x))
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) x))
(-.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) x) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
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(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) (fma.f64 1/8 (/.f64 (*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (pow.f64 (sqrt.f64 -1) 3)) x)))
(-.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) (fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(*.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x))
(*.f64 -1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(*.f64 -1/2 (/.f64 (neg.f64 eps) x))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (*.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))
(fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) (*.f64 -1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 -1/2 (/.f64 (neg.f64 eps) x) (/.f64 (*.f64 1/8 (*.f64 eps eps)) (pow.f64 x 3)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))) (*.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x))))
(fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 4) (/.f64 (pow.f64 x 3) (*.f64 eps eps))) (fma.f64 -1/2 (/.f64 eps (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 6) (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))))
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(+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2))) 2) (*.f64 1/16 (*.f64 (pow.f64 eps 4) (pow.f64 (sqrt.f64 -1) 8)))) (pow.f64 x 7))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 eps 2)) (pow.f64 x 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 eps 3)) (pow.f64 x 5))) (*.f64 -1/2 (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)) x)))))
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(*.f64 -2 (*.f64 (cbrt.f64 -1) x))
(*.f64 -2 (*.f64 x (cbrt.f64 -1)))
(*.f64 (*.f64 -2 (cbrt.f64 -1)) x)
(+.f64 (*.f64 -2 (*.f64 (cbrt.f64 -1) x)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 eps (cbrt.f64 -1))) x)))
(fma.f64 -2 (*.f64 x (cbrt.f64 -1)) (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 x (*.f64 eps (cbrt.f64 -1))))))
(fma.f64 -2 (*.f64 x (cbrt.f64 -1)) (/.f64 1/2 (/.f64 x (*.f64 eps (cbrt.f64 -1)))))
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(fma.f64 1/8 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3) (*.f64 1 (cbrt.f64 -1)))) (fma.f64 -2 (*.f64 x (cbrt.f64 -1)) (/.f64 1/2 (/.f64 x (*.f64 eps (cbrt.f64 -1))))))
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(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2))) (neg.f64 (fma.f64 x x (+.f64 (*.f64 x (hypot.f64 x (sqrt.f64 eps))) (fma.f64 x x eps)))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2)) (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (neg.f64 (hypot.f64 x (sqrt.f64 eps)))) (*.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) 3)) (fma.f64 x x (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (-.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) 3)) (fma.f64 x x (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (-.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))) (-.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (hypot.f64 x (sqrt.f64 eps)) (hypot.f64 x (sqrt.f64 eps)))) (-.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (hypot.f64 x (sqrt.f64 eps)) (hypot.f64 x (sqrt.f64 eps)))) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))
(pow.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps) -1)
(*.f64 eps (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 1)
(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3) 1/3)
(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3)
(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(pow.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) 2)
(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2))
(fabs.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(log.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3))
(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(expm1.f64 (log1p.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(exp.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(exp.f64 (*.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) 1))
(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) 1/3))
(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) -1))
(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(log1p.f64 (expm1.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 1 x (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (hypot.f64 x (sqrt.f64 eps))))
(-.f64 x (hypot.f64 x (sqrt.f64 eps)))
(+.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) x) (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) (neg.f64 (hypot.f64 x (sqrt.f64 eps)))))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)
(+.f64 (*.f64 x (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2)) (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 eps))) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2)))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3))) 1)
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)
(*.f64 1 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)
(*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2)) (*.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2)))
(*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)
(*.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (*.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2)))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)
(*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3/2) (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3/2))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2)) 3) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3) (pow.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) 3))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)
(*.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) 1) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)
(*.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2))) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2))))
(*.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2)) 4))
(*.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)
(*.f64 (*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) (/.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) eps)
(/.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))
(*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))
(*.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 2) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2)) 3) (pow.f64 (fma.f64 x x (+.f64 (fma.f64 x x eps) (*.f64 x (hypot.f64 x (sqrt.f64 eps))))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2)) 3) (pow.f64 (fma.f64 x x (+.f64 (*.f64 x (hypot.f64 x (sqrt.f64 eps))) (fma.f64 x x eps))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x eps) 3/2)) 3) (pow.f64 (fma.f64 x x (fma.f64 x (hypot.f64 x (sqrt.f64 eps)) (fma.f64 x x eps))) 3))
(sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3))))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3) 3))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)
(exp.f64 (*.f64 3 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))))) 1))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)))
(pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps))) 3)

eval459.0ms (6.8%)

Compiler

Compiled 22512 to 12289 computations (45.4% saved)

prune215.0ms (3.2%)

Pruning

23 alts after pruning (13 fresh and 10 done)

PrunedKeptTotal
New90911920
Fresh224
Picked145
Done066
Total91223935
Accurracy
99.8%
Counts
935 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.8%
(/.f64 eps (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) 3))
▶39.6%
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)))
✓81.9%
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
39.5%
(/.f64 eps (+.f64 x (/.f64 (-.f64 (*.f64 1/4 (*.f64 (/.f64 eps x) (/.f64 eps x))) (*.f64 x x)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) x))))
10.7%
(/.f64 eps (+.f64 x (/.f64 (*.f64 -1/2 eps) x)))
39.6%
(/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) -1/2) x)))
▶10.7%
(/.f64 eps (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
39.5%
(/.f64 1 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)))
36.5%
(/.f64 1 (fma.f64 -1/8 (/.f64 eps (pow.f64 x 3)) (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))))
✓81.8%
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps)))
38.1%
(/.f64 1 (*.f64 2 (/.f64 x eps)))
✓66.1%
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
7.9%
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓68.4%
(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓68.4%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓63.5%
(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓4.2%
(-.f64 x x)
✓3.4%
(+.f64 x x)
▶67.8%
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
▶5.5%
(*.f64 x -2)
▶39.4%
(*.f64 eps (/.f64 1 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))
✓38.2%
(*.f64 1/2 (/.f64 eps x))
✓45.3%
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3))
38.8%
(/.f64 eps (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) 3))
▶39.6%
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)))
✓81.9%
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
39.5%
(/.f64 eps (+.f64 x (/.f64 (-.f64 (*.f64 1/4 (*.f64 (/.f64 eps x) (/.f64 eps x))) (*.f64 x x)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) x))))
10.7%
(/.f64 eps (+.f64 x (/.f64 (*.f64 -1/2 eps) x)))
39.6%
(/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) -1/2) x)))
▶10.7%
(/.f64 eps (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
39.5%
(/.f64 1 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)))
36.5%
(/.f64 1 (fma.f64 -1/8 (/.f64 eps (pow.f64 x 3)) (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))))
✓81.8%
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps)))
38.1%
(/.f64 1 (*.f64 2 (/.f64 x eps)))
✓66.1%
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
7.9%
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓68.4%
(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓68.4%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓63.5%
(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓4.2%
(-.f64 x x)
✓3.4%
(+.f64 x x)
▶67.8%
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
▶5.5%
(*.f64 x -2)
▶39.4%
(*.f64 eps (/.f64 1 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))
✓38.2%
(*.f64 1/2 (/.f64 eps x))
✓45.3%
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3))
Compiler

Compiled 926 to 596 computations (35.6% saved)

localize280.0ms (4.2%)

Local Accuracy

Found 13 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))
100.0%
(fma.f64 (/.f64 eps x) -1/2 x)
✓99.7%
(*.f64 eps (/.f64 1 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))
✓99.7%
(/.f64 1 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))
✓100.0%
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
✓99.9%
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)))
✓100.0%
(+.f64 x (*.f64 eps (/.f64 -1/2 x)))
✓99.8%
(/.f64 eps (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
✓99.6%
(*.f64 eps (/.f64 -1/2 x))
✓100.0%
(pow.f64 (-.f64 (*.f64 x x) eps) 1/4)
✓99.9%
(+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
✓99.4%
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
✓68.1%
(-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
Compiler

Compiled 174 to 76 computations (56.3% saved)

series57.0ms (0.9%)

Counts
11 → 213
Calls

66 calls:

TimeVariablePointExpression
25.0ms
eps
@inf
(pow.f64 (-.f64 (*.f64 x x) eps) 1/4)
5.0ms
eps
@0
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
2.0ms
eps
@inf
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
2.0ms
eps
@-inf
(-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
2.0ms
x
@-inf
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))

rewrite108.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
696×add-sqr-sqrt
680×pow1
678×*-un-lft-identity
648×add-exp-log
648×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030299
1685291
Stop Event
1×node limit
Counts
11 → 262
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
(pow.f64 (-.f64 (*.f64 x x) eps) 1/4)
(*.f64 eps (/.f64 -1/2 x))
(/.f64 eps (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
(+.f64 x (*.f64 eps (/.f64 -1/2 x)))
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)))
(+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))
(/.f64 1 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))
(*.f64 eps (/.f64 1 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))
Outputs
(+.f64 (sqrt.f64 x) (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))
(+.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/8)) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/8) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))
(+.f64 (fma.f64 1 (sqrt.f64 x) (neg.f64 (*.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) 1))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) 1 (*.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) 1)))
(+.f64 (fma.f64 1 (sqrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))) (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))
(+.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (neg.f64 (*.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) 1))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) 1 (*.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) 1)))
(+.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))) (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))
(+.f64 (fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (neg.f64 (*.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) 1))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) 1 (*.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) 1)))
(+.f64 (fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))) (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))
(*.f64 1 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))) 2) (cbrt.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))) (sqrt.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/4)) (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) (*.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))))
(/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))
(/.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) (neg.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/4))) (neg.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) (*.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))))
(pow.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) 1)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))) 1))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
(fma.f64 1 (sqrt.f64 x) (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))) 1)
(/.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/4)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) (*.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) (*.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
(/.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (-.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/4))) (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) (*.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/4)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) (*.f64 (+.f64 x (-.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) (*.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
(/.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (+.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/4))) (*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 x (-.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) (*.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/4)) (+.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/4))) (*.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) (*.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))) (+.f64 x (-.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) (*.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/4)) (-.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/4))) (*.f64 (+.f64 x (-.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) (*.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))) (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) (*.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))))
(pow.f64 (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) 3) (pow.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) 3) (pow.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))))
(exp.f64 (log.f64 (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))) 1)
(-.f64 (/.f64 x (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))) (/.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
(*.f64 1 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))) 2) (cbrt.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
(*.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/8)) (hypot.f64 (pow.f64 x 1/4) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/8)))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/4)) (+.f64 x (-.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) (*.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))))
(/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/4))) (neg.f64 (+.f64 x (-.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) (*.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))))
(/.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) (neg.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
(pow.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) 3) 1/3)
(pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/8)) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))) 1))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
(fma.f64 1 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))
(fma.f64 1 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))
(fma.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/8) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/8) (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))) 1)
(*.f64 1 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))
(*.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/8) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/8))
(*.f64 (pow.f64 1 1/4) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (neg.f64 eps))) 2) 1/4) (pow.f64 (cbrt.f64 (fma.f64 x x (neg.f64 eps))) 1/4))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) 1/4) (pow.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) 1/4))
(sqrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
(cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))
(exp.f64 (*.f64 1/4 (log.f64 (fma.f64 x x (neg.f64 eps)))))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x x (neg.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (/.f64 -1/2 x)))) 1)
(/.f64 (*.f64 eps -1/2) x)
(/.f64 (neg.f64 (*.f64 eps -1/2)) (neg.f64 x))
(pow.f64 (*.f64 eps (/.f64 -1/2 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (/.f64 -1/2 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 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 eps (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 -1/2 x))))
(exp.f64 (log.f64 (*.f64 eps (/.f64 -1/2 x))))
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simplify207.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
1288×fma-def
738×times-frac
696×distribute-rgt-in
690×associate-+r+
664×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097723663
1274122111
Stop Event
1×node limit
Counts
475 → 582
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 (*.f64 -1 eps) 1/4))
(-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4))
(-.f64 (+.f64 (sqrt.f64 x) (*.f64 1/4 (*.f64 eps (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) (pow.f64 (pow.f64 x 2) 1/4))
(-.f64 (+.f64 (sqrt.f64 x) (+.f64 (*.f64 1/4 (*.f64 eps (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (*.f64 3/32 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))))) (pow.f64 (pow.f64 x 2) 1/4))
(-.f64 (+.f64 (*.f64 7/128 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 11)))))) (+.f64 (sqrt.f64 x) (+.f64 (*.f64 1/4 (*.f64 eps (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (*.f64 3/32 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))))) (pow.f64 (pow.f64 x 2) 1/4))
(-.f64 (sqrt.f64 x) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (pow.f64 x 2)) eps)) (sqrt.f64 x)) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (pow.f64 x 2)) eps)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4)))) (pow.f64 eps 2))) (sqrt.f64 x))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (pow.f64 x 2)) eps)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4)))) (pow.f64 eps 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (+.f64 (*.f64 -1/384 (pow.f64 x 6)) (+.f64 (*.f64 -1/12 (pow.f64 x 6)) (*.f64 1/32 (pow.f64 x 6))))) (pow.f64 eps 3))) (sqrt.f64 x)))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))))
(-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4))
(-.f64 (+.f64 (sqrt.f64 x) (*.f64 1/4 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4) (pow.f64 x 2)))) (pow.f64 (/.f64 -1 eps) -1/4))
(-.f64 (+.f64 (sqrt.f64 x) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4) (pow.f64 x 2))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 7)) 1/4) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))))))) (pow.f64 (/.f64 -1 eps) -1/4))
(-.f64 (+.f64 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 11)) 1/4) (+.f64 (*.f64 -1/32 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 6)) (*.f64 1/384 (pow.f64 x 6))))) (+.f64 (sqrt.f64 x) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4) (pow.f64 x 2))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 7)) 1/4) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4)))))))) (pow.f64 (/.f64 -1 eps) -1/4))
(*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x)))
(+.f64 (*.f64 eps (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (*.f64 1/4 (*.f64 (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x)) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))) (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x))))
(+.f64 (*.f64 eps (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (*.f64 1/4 (*.f64 (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x)) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 3/32 (*.f64 (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x)) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))) (*.f64 -3/32 (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))) (*.f64 1/16 (/.f64 1 (pow.f64 x 3))))) (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x)))))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -7/128 (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 11)))))) (*.f64 7/128 (*.f64 (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x)) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 11))))))) (*.f64 3/64 (/.f64 1 (pow.f64 x 5)))) (pow.f64 eps 3)) (+.f64 (*.f64 eps (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (*.f64 1/4 (*.f64 (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x)) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 3/32 (*.f64 (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x)) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))) (*.f64 -3/32 (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))) (*.f64 1/16 (/.f64 1 (pow.f64 x 3))))) (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x))))))
(*.f64 (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))))))
(+.f64 (*.f64 (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (*.f64 (pow.f64 x 2) (-.f64 (sqrt.f64 x) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))))))) eps)) (*.f64 1/4 (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (pow.f64 x 2))) eps))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) (pow.f64 x 4)) (pow.f64 eps 2))) (+.f64 (*.f64 (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (*.f64 (pow.f64 x 2) (-.f64 (sqrt.f64 x) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))))))) eps)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))) (-.f64 (sqrt.f64 x) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))))))) (pow.f64 eps 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))))) (pow.f64 eps 2))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (pow.f64 x 2))) eps)))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))) (pow.f64 x 2))) (pow.f64 eps 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))))) (pow.f64 eps 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (*.f64 (pow.f64 x 2) (-.f64 (sqrt.f64 x) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))))))) eps)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (*.f64 (+.f64 (*.f64 -1/384 (pow.f64 x 6)) (+.f64 (*.f64 -1/12 (pow.f64 x 6)) (*.f64 1/32 (pow.f64 x 6)))) (-.f64 (sqrt.f64 x) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))))))) (pow.f64 eps 3)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) (pow.f64 x 4)) (pow.f64 eps 2))) (+.f64 (*.f64 (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))) (-.f64 (sqrt.f64 x) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps))))))))) (pow.f64 eps 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (+.f64 (*.f64 -1/12 (pow.f64 x 6)) (+.f64 (*.f64 1/32 (pow.f64 x 6)) (*.f64 -1/384 (pow.f64 x 6)))))) (pow.f64 eps 3))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x)) (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (pow.f64 x 2))) eps))))))))))
(*.f64 (+.f64 (pow.f64 (/.f64 -1 eps) -1/4) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)))
(+.f64 (*.f64 (+.f64 (pow.f64 (/.f64 -1 eps) -1/4) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (*.f64 -1 eps) 1/4) (*.f64 (+.f64 (pow.f64 (/.f64 -1 eps) -1/4) (sqrt.f64 x)) (pow.f64 x 2)))) (*.f64 1/4 (*.f64 (pow.f64 (*.f64 -1 eps) 1/4) (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)) (pow.f64 x 2))))) eps)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 7)) 1/4) (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))) (+.f64 (pow.f64 (/.f64 -1 eps) -1/4) (sqrt.f64 x))))) (+.f64 (*.f64 (+.f64 (pow.f64 (/.f64 -1 eps) -1/4) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4))) (+.f64 (*.f64 -1/16 (*.f64 (*.f64 (sqrt.f64 -1) (pow.f64 x 4)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 7)) 1/4) (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))) (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (*.f64 -1 eps) 1/4) (*.f64 (+.f64 (pow.f64 (/.f64 -1 eps) -1/4) (sqrt.f64 x)) (pow.f64 x 2)))) (*.f64 1/4 (*.f64 (pow.f64 (*.f64 -1 eps) 1/4) (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)) (pow.f64 x 2))))) eps))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 -1 eps) 1/4) (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)) (+.f64 (*.f64 -1/32 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 6)) (*.f64 1/384 (pow.f64 x 6)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 -1) (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))) (pow.f64 x 2))))) (*.f64 -1 (*.f64 (pow.f64 (*.f64 -1 eps) 1/4) (*.f64 (+.f64 (pow.f64 (/.f64 -1 eps) -1/4) (sqrt.f64 x)) (+.f64 (*.f64 -1/32 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 6)) (*.f64 1/384 (pow.f64 x 6))))))))) (pow.f64 eps 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 7)) 1/4) (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))) (+.f64 (pow.f64 (/.f64 -1 eps) -1/4) (sqrt.f64 x))))) (+.f64 (*.f64 (+.f64 (pow.f64 (/.f64 -1 eps) -1/4) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4))) (+.f64 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 7)) 1/4) (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))) (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)))) (+.f64 (*.f64 -1/16 (*.f64 (*.f64 (sqrt.f64 -1) (pow.f64 x 4)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (*.f64 -1 eps) 1/4) (*.f64 (+.f64 (pow.f64 (/.f64 -1 eps) -1/4) (sqrt.f64 x)) (pow.f64 x 2)))) (*.f64 1/4 (*.f64 (pow.f64 (*.f64 -1 eps) 1/4) (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4)) (pow.f64 x 2))))) eps)))))))
(pow.f64 (*.f64 -1 eps) 1/4)
(+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x))
(+.f64 (*.f64 -1/4 (*.f64 eps (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x)))
(+.f64 (*.f64 -1/4 (*.f64 eps (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (+.f64 (sqrt.f64 x) (*.f64 -3/32 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))))))
(+.f64 (*.f64 -1/4 (*.f64 eps (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (+.f64 (sqrt.f64 x) (+.f64 (*.f64 -7/128 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 11)))))) (*.f64 -3/32 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))))))
(+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (sqrt.f64 x))
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(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2))))
(exp.f64 (log.f64 (fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2))))
(fma.f64 x 2 (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2))
(fma.f64 (/.f64 eps x) -1/2 (*.f64 x 2))
(fma.f64 2 x (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 1 (*.f64 -1/2 (/.f64 eps x)) (*.f64 x 2))
(fma.f64 1 (*.f64 x 2) (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 eps x))) (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (cbrt.f64 (*.f64 x 2)) (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))) (sqrt.f64 (*.f64 -1/2 (/.f64 eps x))) (*.f64 x 2))
(fma.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (*.f64 x 2)) (*.f64 -1/2 (/.f64 eps x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))
(*.f64 (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) -1/2) (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) -1) (pow.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) -1))
(pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) -1)
(pow.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) -1/2) 2)
(pow.f64 (/.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 1) -1)
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) 1)
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))
(/.f64 (neg.f64 eps) (neg.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(/.f64 (*.f64 eps 1) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))
(/.f64 (neg.f64 (*.f64 eps 1)) (neg.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 1)
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 3)
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 2)
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3) (pow.f64 eps 3)))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))
Outputs
(*.f64 -1 (pow.f64 (*.f64 -1 eps) 1/4))
(neg.f64 (pow.f64 (neg.f64 eps) 1/4))
(-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4))
(-.f64 (sqrt.f64 x) (pow.f64 (*.f64 x x) 1/4))
(-.f64 (+.f64 (sqrt.f64 x) (*.f64 1/4 (*.f64 eps (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) (pow.f64 (pow.f64 x 2) 1/4))
(-.f64 (+.f64 (sqrt.f64 x) (*.f64 1/4 (*.f64 eps (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (pow.f64 (*.f64 x x) 1/4))
(-.f64 (fma.f64 1/4 (*.f64 eps (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (sqrt.f64 x)) (pow.f64 (*.f64 x x) 1/4))
(-.f64 (+.f64 (sqrt.f64 x) (+.f64 (*.f64 1/4 (*.f64 eps (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (*.f64 3/32 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))))) (pow.f64 (pow.f64 x 2) 1/4))
(-.f64 (+.f64 (sqrt.f64 x) (fma.f64 1/4 (*.f64 eps (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/32 (*.f64 (*.f64 eps eps) (*.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))))) (pow.f64 (*.f64 x x) 1/4))
(+.f64 (fma.f64 1/4 (*.f64 eps (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/32 (*.f64 (*.f64 eps eps) (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))) (-.f64 (sqrt.f64 x) (pow.f64 (*.f64 x x) 1/4)))
(-.f64 (+.f64 (*.f64 7/128 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 11)))))) (+.f64 (sqrt.f64 x) (+.f64 (*.f64 1/4 (*.f64 eps (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (*.f64 3/32 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))))) (pow.f64 (pow.f64 x 2) 1/4))
(-.f64 (fma.f64 7/128 (*.f64 (pow.f64 eps 3) (*.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 x 11))))) (+.f64 (sqrt.f64 x) (fma.f64 1/4 (*.f64 eps (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/32 (*.f64 (*.f64 eps eps) (*.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))))) (pow.f64 (*.f64 x x) 1/4))
(+.f64 (fma.f64 (*.f64 7/128 (pow.f64 eps 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 11))) (sqrt.f64 x)) (-.f64 (fma.f64 1/4 (*.f64 eps (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/32 (*.f64 (*.f64 eps eps) (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))) (pow.f64 (*.f64 x x) 1/4)))
(-.f64 (sqrt.f64 x) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))))
(-.f64 (sqrt.f64 x) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))))
(-.f64 (sqrt.f64 x) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (pow.f64 x 2)) eps)) (sqrt.f64 x)) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))))
(-.f64 (fma.f64 1/4 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))) (/.f64 eps (*.f64 x x))) (sqrt.f64 x)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))))
(-.f64 (fma.f64 1/4 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps))) (/.f64 eps (*.f64 x x))) (sqrt.f64 x)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (pow.f64 x 2)) eps)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4)))) (pow.f64 eps 2))) (sqrt.f64 x))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))))
(-.f64 (fma.f64 1/4 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))) (/.f64 eps (*.f64 x x))) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))) (/.f64 (*.f64 eps eps) (*.f64 (pow.f64 x 4) -3/32))) (sqrt.f64 x))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))))
(fma.f64 1/4 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps))) (/.f64 eps (*.f64 x x))) (-.f64 (-.f64 (sqrt.f64 x) (*.f64 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps))) eps) (/.f64 (*.f64 (pow.f64 x 4) -3/32) eps))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps)))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (pow.f64 x 2)) eps)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4)))) (pow.f64 eps 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (+.f64 (*.f64 -1/384 (pow.f64 x 6)) (+.f64 (*.f64 -1/12 (pow.f64 x 6)) (*.f64 1/32 (pow.f64 x 6))))) (pow.f64 eps 3))) (sqrt.f64 x)))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))))
(-.f64 (fma.f64 1/4 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))) (/.f64 eps (*.f64 x x))) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))) (/.f64 (*.f64 eps eps) (*.f64 (pow.f64 x 4) -3/32))) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))) (/.f64 (pow.f64 eps 3) (fma.f64 1/32 (pow.f64 x 6) (*.f64 (pow.f64 x 6) -11/128)))) (sqrt.f64 x)))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))))
(fma.f64 1/4 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps))) (/.f64 eps (*.f64 x x))) (-.f64 (-.f64 (-.f64 (sqrt.f64 x) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps))) (/.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 6) -7/128)))) (*.f64 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps))) eps) (/.f64 (*.f64 (pow.f64 x 4) -3/32) eps))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps)))))
(-.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 eps) -1/4))
(-.f64 (+.f64 (sqrt.f64 x) (*.f64 1/4 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4) (pow.f64 x 2)))) (pow.f64 (/.f64 -1 eps) -1/4))
(+.f64 (sqrt.f64 x) (-.f64 (*.f64 1/4 (*.f64 (*.f64 x x) (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4))) (pow.f64 (/.f64 -1 eps) -1/4)))
(-.f64 (fma.f64 1/4 (*.f64 (*.f64 x x) (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4)) (sqrt.f64 x)) (pow.f64 (/.f64 -1 eps) -1/4))
(-.f64 (+.f64 (sqrt.f64 x) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4) (pow.f64 x 2))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 7)) 1/4) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))))))) (pow.f64 (/.f64 -1 eps) -1/4))
(+.f64 (sqrt.f64 x) (-.f64 (fma.f64 1/4 (*.f64 (*.f64 x x) (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4)) (neg.f64 (*.f64 (*.f64 (pow.f64 x 4) -3/32) (pow.f64 (/.f64 -1 (pow.f64 eps 7)) 1/4)))) (pow.f64 (/.f64 -1 eps) -1/4)))
(-.f64 (-.f64 (fma.f64 1/4 (*.f64 (*.f64 x x) (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4)) (sqrt.f64 x)) (*.f64 (*.f64 (pow.f64 x 4) -3/32) (pow.f64 (/.f64 -1 (pow.f64 eps 7)) 1/4))) (pow.f64 (/.f64 -1 eps) -1/4))
(-.f64 (+.f64 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 11)) 1/4) (+.f64 (*.f64 -1/32 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 6)) (*.f64 1/384 (pow.f64 x 6))))) (+.f64 (sqrt.f64 x) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4) (pow.f64 x 2))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 7)) 1/4) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4)))))))) (pow.f64 (/.f64 -1 eps) -1/4))
(-.f64 (fma.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 11)) 1/4) (fma.f64 -1/32 (pow.f64 x 6) (*.f64 (pow.f64 x 6) 11/128)) (+.f64 (sqrt.f64 x) (fma.f64 1/4 (*.f64 (*.f64 x x) (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4)) (neg.f64 (*.f64 (*.f64 (pow.f64 x 4) -3/32) (pow.f64 (/.f64 -1 (pow.f64 eps 7)) 1/4)))))) (pow.f64 (/.f64 -1 eps) -1/4))
(-.f64 (fma.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 11)) 1/4) (*.f64 (pow.f64 x 6) 7/128) (-.f64 (fma.f64 1/4 (*.f64 (*.f64 x x) (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4)) (sqrt.f64 x)) (*.f64 (*.f64 (pow.f64 x 4) -3/32) (pow.f64 (/.f64 -1 (pow.f64 eps 7)) 1/4)))) (pow.f64 (/.f64 -1 eps) -1/4))
(*.f64 -1 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)))
(*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (*.f64 x x) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (*.f64 x x) 1/4)))
(+.f64 (*.f64 eps (+.f64 (*.f64 -1/4 (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (*.f64 1/4 (*.f64 (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x)) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))) (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x 2) 1/4)) (+.f64 (pow.f64 (pow.f64 x 2) 1/4) (sqrt.f64 x))))
(fma.f64 eps (fma.f64 -1/4 (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (*.f64 x x) 1/4)) (*.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 1/4 (*.f64 (*.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (sqrt.f64 x) (pow.f64 (*.f64 x x) 1/4))))) (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (*.f64 x x) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (*.f64 x x) 1/4))))
(fma.f64 eps (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (-.f64 (sqrt.f64 x) (pow.f64 (*.f64 x x) 1/4))) (*.f64 1/4 (+.f64 (sqrt.f64 x) (pow.f64 (*.f64 x x) 1/4))))) (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (*.f64 x x) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (*.f64 x x) 1/4))))
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(pow.f64 (*.f64 -1 eps) 1/4)
(pow.f64 (neg.f64 eps) 1/4)
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(fma.f64 (*.f64 eps (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) -1/4 (sqrt.f64 x))
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(/.f64 1 (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) -2))
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))
(/.f64 1 (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))))
(/.f64 1 (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3))
(/.f64 1 (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))
(/.f64 1 (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))
(/.f64 1 (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) -1))
(/.f64 1 (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 1))
(/.f64 1 (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))
(/.f64 1 (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) 1)
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(/.f64 (neg.f64 eps) (neg.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(/.f64 (neg.f64 eps) (neg.f64 (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x))))
(*.f64 1 (/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x))))
(/.f64 (*.f64 eps 1) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(/.f64 (neg.f64 (*.f64 eps 1)) (neg.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(/.f64 (neg.f64 eps) (neg.f64 (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x))))
(*.f64 1 (/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x))))
(pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 1)
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 3)
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3) 1/3)
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 2)
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 2))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x))) 2))
(fabs.f64 (/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x))))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))))
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3))
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (/.f64 1 (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (pow.f64 (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)) 3))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 3) (pow.f64 eps 3)))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (/.f64 1 (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (/.f64 1 (pow.f64 (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)) 3))))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)) 3)))
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 1))
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))))
(/.f64 eps (+.f64 x (fma.f64 eps (/.f64 -1/2 x) x)))

eval542.0ms (8.1%)

Compiler

Compiled 23910 to 13948 computations (41.7% saved)

prune151.0ms (2.2%)

Pruning

33 alts after pruning (21 fresh and 12 done)

PrunedKeptTotal
New72315738
Fresh268
Picked145
Done2810
Total72833761
Accurracy
99.9%
Counts
761 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.4%
(pow.f64 (pow.f64 (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))) 3) 1/3)
38.8%
(/.f64 eps (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2))) 3))
39.5%
(/.f64 eps (/.f64 (-.f64 (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2) (*.f64 (*.f64 x x) 4)) (fma.f64 eps (/.f64 -1/2 x) (*.f64 x -2))))
✓39.6%
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)))
10.7%
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓81.9%
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
39.5%
(/.f64 eps (+.f64 x (/.f64 (-.f64 (*.f64 1/4 (*.f64 (/.f64 eps x) (/.f64 eps x))) (*.f64 x x)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) x))))
39.6%
(/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) -1/2) x)))
✓10.7%
(/.f64 eps (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
10.7%
(/.f64 eps x)
39.5%
(/.f64 1 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)))
36.5%
(/.f64 1 (fma.f64 -1/8 (/.f64 eps (pow.f64 x 3)) (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))))
✓81.8%
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps)))
38.1%
(/.f64 1 (*.f64 2 (/.f64 x eps)))
✓66.1%
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
7.9%
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓68.4%
(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓68.4%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓63.5%
(-.f64 x (sqrt.f64 (neg.f64 eps)))
67.8%
(*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))
67.6%
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
67.8%
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))
✓67.8%
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
3.0%
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (exp.f64 (log.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))))
✓5.5%
(*.f64 x -2)
38.8%
(*.f64 eps (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 3))
5.5%
(*.f64 eps (/.f64 (*.f64 x -2) eps))
39.4%
(*.f64 eps (/.f64 1 (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))))
10.7%
(*.f64 eps (/.f64 1 (+.f64 x (/.f64 (*.f64 -1/2 eps) x))))
10.7%
(*.f64 eps (/.f64 1 (+.f64 x (*.f64 eps (/.f64 -1/2 x)))))
38.1%
(*.f64 eps (/.f64 1/2 x))
✓38.2%
(*.f64 1/2 (/.f64 eps x))
✓45.3%
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3))
Compiler

Compiled 998 to 563 computations (43.6% saved)

regimes137.0ms (2%)

Counts
42 → 2
Calls
Call 1
Inputs
(*.f64 x -2)
(+.f64 x x)
(-.f64 x x)
(/.f64 eps x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 eps (/.f64 (*.f64 x -2) eps))
(/.f64 1 (*.f64 2 (/.f64 x eps)))
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(/.f64 eps (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
(/.f64 eps (+.f64 x (/.f64 (*.f64 -1/2 eps) x)))
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(*.f64 eps (/.f64 1 (+.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(*.f64 eps (/.f64 1 (+.f64 x (/.f64 (*.f64 -1/2 eps) x))))
(/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) -1/2) x)))
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)))
(*.f64 eps (/.f64 1 (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))))
(/.f64 eps (+.f64 x (/.f64 (-.f64 (*.f64 1/4 (*.f64 (/.f64 eps x) (/.f64 eps x))) (*.f64 x x)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) x))))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 1 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)))
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (*.f64 x 2)))
(*.f64 eps (/.f64 1 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 (*.f64 eps eps) 1/8) (pow.f64 x 3)))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (-.f64 (*.f64 x x) (*.f64 x x)) eps)))
(/.f64 eps (/.f64 (-.f64 (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2) (*.f64 (*.f64 x x) 4)) (fma.f64 eps (/.f64 -1/2 x) (*.f64 x -2))))
(/.f64 eps (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))) 3))
(/.f64 eps (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2))) 3))
(*.f64 eps (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))) 3))
(/.f64 1 (fma.f64 -1/8 (/.f64 eps (pow.f64 x 3)) (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))))
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) 3))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))
(*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (exp.f64 (log.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)) (fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (neg.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
(pow.f64 (pow.f64 (*.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))) 3) 1/3)
Outputs
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) -1/2) x)))
Calls

3 calls:

54.0ms
x
36.0ms
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
36.0ms
eps
Results
AccuracySegmentsBranch
94.2%2x
99.1%2eps
99.1%2(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 527 to 257 computations (51.2% saved)

regimes77.0ms (1.1%)

Counts
26 → 2
Calls
Call 1
Inputs
(*.f64 x -2)
(+.f64 x x)
(-.f64 x x)
(/.f64 eps x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 eps (/.f64 (*.f64 x -2) eps))
(/.f64 1 (*.f64 2 (/.f64 x eps)))
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(/.f64 eps (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
(/.f64 eps (+.f64 x (/.f64 (*.f64 -1/2 eps) x)))
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(*.f64 eps (/.f64 1 (+.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(*.f64 eps (/.f64 1 (+.f64 x (/.f64 (*.f64 -1/2 eps) x))))
(/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) -1/2) x)))
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)))
(*.f64 eps (/.f64 1 (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))))
(/.f64 eps (+.f64 x (/.f64 (-.f64 (*.f64 1/4 (*.f64 (/.f64 eps x) (/.f64 eps x))) (*.f64 x x)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) x))))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 1 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)))
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (*.f64 x 2)))
(*.f64 eps (/.f64 1 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
Outputs
(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
(/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) -1/2) x)))
Calls

2 calls:

47.0ms
eps
24.0ms
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Results
AccuracySegmentsBranch
85.4%4eps
98.5%2(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 239 to 124 computations (48.1% saved)

regimes26.0ms (0.4%)

Counts
24 → 2
Calls
Call 1
Inputs
(*.f64 x -2)
(+.f64 x x)
(-.f64 x x)
(/.f64 eps x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 eps (/.f64 (*.f64 x -2) eps))
(/.f64 1 (*.f64 2 (/.f64 x eps)))
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(/.f64 eps (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
(/.f64 eps (+.f64 x (/.f64 (*.f64 -1/2 eps) x)))
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(*.f64 eps (/.f64 1 (+.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(*.f64 eps (/.f64 1 (+.f64 x (/.f64 (*.f64 -1/2 eps) x))))
(/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) -1/2) x)))
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)))
(*.f64 eps (/.f64 1 (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))))
(/.f64 eps (+.f64 x (/.f64 (-.f64 (*.f64 1/4 (*.f64 (/.f64 eps x) (/.f64 eps x))) (*.f64 x x)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) x))))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 1 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)))
(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x)))
(/.f64 eps (fma.f64 (/.f64 eps x) -1/2 (*.f64 x 2)))
(*.f64 eps (/.f64 1 (+.f64 x (fma.f64 (/.f64 eps x) -1/2 x))))
Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) -1/2) x)))
Calls

1 calls:

21.0ms
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Results
AccuracySegmentsBranch
98.4%2(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 221 to 117 computations (47.1% saved)

regimes30.0ms (0.4%)

Counts
19 → 2
Calls
Call 1
Inputs
(*.f64 x -2)
(+.f64 x x)
(-.f64 x x)
(/.f64 eps x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 eps (/.f64 (*.f64 x -2) eps))
(/.f64 1 (*.f64 2 (/.f64 x eps)))
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(/.f64 eps (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
(/.f64 eps (+.f64 x (/.f64 (*.f64 -1/2 eps) x)))
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(*.f64 eps (/.f64 1 (+.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(*.f64 eps (/.f64 1 (+.f64 x (/.f64 (*.f64 -1/2 eps) x))))
(/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) -1/2) x)))
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)))
(*.f64 eps (/.f64 1 (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))))
(/.f64 eps (+.f64 x (/.f64 (-.f64 (*.f64 1/4 (*.f64 (/.f64 eps x) (/.f64 eps x))) (*.f64 x x)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) x))))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
Outputs
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)))
Calls

1 calls:

26.0ms
x
Results
AccuracySegmentsBranch
89.9%2x
Compiler

Compiled 164 to 89 computations (45.7% saved)

regimes22.0ms (0.3%)

Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 x -2)
(+.f64 x x)
(-.f64 x x)
(/.f64 eps x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 eps (/.f64 (*.f64 x -2) eps))
(/.f64 1 (*.f64 2 (/.f64 x eps)))
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(/.f64 eps (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
(/.f64 eps (+.f64 x (/.f64 (*.f64 -1/2 eps) x)))
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(*.f64 eps (/.f64 1 (+.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(*.f64 eps (/.f64 1 (+.f64 x (/.f64 (*.f64 -1/2 eps) x))))
(/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) -1/2) x)))
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)))
(*.f64 eps (/.f64 1 (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))))
(/.f64 eps (+.f64 x (/.f64 (-.f64 (*.f64 1/4 (*.f64 (/.f64 eps x) (/.f64 eps x))) (*.f64 x x)) (-.f64 (*.f64 eps (/.f64 -1/2 x)) x))))
Outputs
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)))
Calls

2 calls:

9.0ms
eps
8.0ms
x
Results
AccuracySegmentsBranch
39.6%1eps
39.6%1x
Compiler

Compiled 162 to 88 computations (45.7% saved)

regimes19.0ms (0.3%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 x -2)
(+.f64 x x)
(-.f64 x x)
(/.f64 eps x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 eps (/.f64 1/2 x))
(*.f64 eps (/.f64 (*.f64 x -2) eps))
(/.f64 1 (*.f64 2 (/.f64 x eps)))
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(/.f64 eps (+.f64 x (*.f64 eps (/.f64 -1/2 x))))
(/.f64 eps (+.f64 x (/.f64 (*.f64 -1/2 eps) x)))
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(*.f64 eps (/.f64 1 (+.f64 x (*.f64 eps (/.f64 -1/2 x)))))
(*.f64 eps (/.f64 1 (+.f64 x (/.f64 (*.f64 -1/2 eps) x))))
(/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) -1/2) x)))
Outputs
(/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) -1/2) x)))
Calls

2 calls:

8.0ms
x
8.0ms
eps
Results
AccuracySegmentsBranch
39.6%1x
39.6%1eps
Compiler

Compiled 113 to 62 computations (45.1% saved)

regimes18.0ms (0.3%)

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

2 calls:

8.0ms
eps
7.0ms
x
Results
AccuracySegmentsBranch
38.2%1eps
38.2%1x
Compiler

Compiled 102 to 57 computations (44.1% saved)

regimes9.0ms (0.1%)

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

2 calls:

4.0ms
eps
4.0ms
x
Results
AccuracySegmentsBranch
10.7%1x
10.7%1eps
Compiler

Compiled 20 to 11 computations (45% saved)

regimes8.0ms (0.1%)

Accuracy

Total -1.8b remaining (-2.9%)

Threshold costs -1.8b (-2.9%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 x -2)
(+.f64 x x)
(-.f64 x x)
Outputs
(*.f64 x -2)
Calls

2 calls:

4.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
5.5%1x
5.5%1eps
Compiler

Compiled 17 to 10 computations (41.2% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.0635057395978417e-154
0.0
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.0635057395978417e-154
0.0
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.0635057395978417e-154
0.0
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch11.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
6.016688066574587e-112
2.5989913268338875e-111
Results
8.0ms88×body256valid
1.0ms16×body256invalid
1.0ms8×body512valid
Compiler

Compiled 147 to 106 computations (27.9% saved)

simplify13.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
043401
163401
275401
382401
485401
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) -1/2) x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) (/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) -1/2) x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) -1/2) x))))
(if (<=.f64 x 8772900204054141/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))))
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)))
(/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) -1/2) x)))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps x)
(*.f64 x -2)
Outputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) -1/2) x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 (/.f64 eps x) -1/2)))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) (/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) -1/2) x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) (/.f64 eps (+.f64 x (+.f64 x (*.f64 (/.f64 eps x) -1/2)))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) -1/2) x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 (/.f64 eps x) -1/2)))))
(if (<=.f64 x 8772900204054141/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x))))
(if (<=.f64 x 8772900204054141/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 (*.f64 (/.f64 eps x) -1/2) (*.f64 x 2))))
(/.f64 eps (+.f64 (*.f64 -1/2 (/.f64 eps x)) (*.f64 2 x)))
(/.f64 eps (+.f64 (*.f64 (/.f64 eps x) -1/2) (*.f64 x 2)))
(/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) -1/2) x)))
(/.f64 eps (+.f64 x (+.f64 x (*.f64 (/.f64 eps x) -1/2))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) 1/2)
(/.f64 eps x)
(*.f64 x -2)
Compiler

Compiled 161 to 98 computations (39.1% saved)

soundness1.5s (22.4%)

Rules
1538×fma-def
1538×fma-def
1034×fma-def
1034×fma-def
938×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0953
120153
2288849
05698293
113457691
241277597
071714502
1182311950
2686211880
027276
1633188
098324190
1279320262
098324190
1279320262
05698293
113457691
241277597
0953
120153
2288849
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 573 to 245 computations (57.2% saved)

end188.0ms (2.8%)

Compiler

Compiled 334 to 152 computations (54.5% saved)

Profiling

Loading profile data...