2log (problem 3.3.6)

Time bar (total: 7.7s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%50%0%0%0%50%0%2
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.0s (26.6%)

Results
848.0ms5054×body256valid
816.0ms1984×body1024valid
217.0ms1027×body512valid
142.0ms191×body2048valid
Bogosity

preprocess362.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
1882×fma-def
1108×distribute-lft-out--
978×+-commutative
968×associate-+r+
826×associate-+r-
Problems
143×(log.f64 (+.f64 N 1))
112×(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
1×No Errors
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
017128
130104
262100
3121100
4295100
5817100
6131396
7199696
8280796
9422196
10447096
11450096
12452496
13452496
14657096
15724496
16759696
17759696
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N)))
(neg.f64 (-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N))))
Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (+.f64 1 (neg.f64 N))) (log.f64 (neg.f64 N)))
(-.f64 (log1p.f64 (neg.f64 N)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (+.f64 N -1)) (log.f64 N))
(neg.f64 (-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N))))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (neg.f64 N))) (log.f64 (neg.f64 N))))
(neg.f64 (-.f64 (log1p.f64 (neg.f64 N)) (log.f64 (neg.f64 N))))
(-.f64 (log.f64 (neg.f64 N)) (log1p.f64 (neg.f64 N)))
(-.f64 (log.f64 N) (log.f64 (+.f64 N -1)))
Compiler

Compiled 28 to 19 computations (32.1% saved)

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶58.9%
(-.f64 (log1p.f64 N) (log.f64 N))
▶58.9%
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize53.0ms (0.7%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓58.9%
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 12 to 5 computations (58.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
N
@inf
(-.f64 (log1p.f64 N) (log.f64 N))
0.0ms
N
@-inf
(-.f64 (log1p.f64 N) (log.f64 N))
0.0ms
N
@0
(-.f64 (log1p.f64 N) (log.f64 N))

rewrite129.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1198×associate-*l*
624×frac-times
414×*-commutative
402×times-frac
384×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
19221
2117321
Stop Event
1×node limit
Counts
1 → 171
Calls
Call 1
Inputs
(-.f64 (log1p.f64 N) (log.f64 N))
Outputs
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) 1))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) 1))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) 1))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (log1p.f64 N) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (log1p.f64 N) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (+.f64 (log1p.f64 N) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))
(+.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) -1)
(+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (exp.f64 (log1p.f64 (log.f64 N)))) 1)
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (*.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) 1))
(*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (*.f64 (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 1))
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))) (*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 1))
(*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))))
(*.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (-.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))))))
(*.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) 2)) (pow.f64 (log.f64 N) 2)) (/.f64 1 (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (/.f64 1 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 1) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (-.f64 (log1p.f64 N) (log.f64 N)))
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (*.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))) (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))) (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))) (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (log1p.f64 N) 2)) (-.f64 (neg.f64 (log.f64 N)) (log1p.f64 N)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))) (*.f64 (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1) (+.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) 3)) (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) 3)) (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) 3)) (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) 3) (pow.f64 (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (*.f64 (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 3) (pow.f64 (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))) (+.f64 (*.f64 (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (log.f64 N) 3))) (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) 1) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 N) 3) 3) (pow.f64 (pow.f64 (log.f64 N) 3) 3)) 1) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (*.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) 1) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 N) 2) 3) (pow.f64 (pow.f64 (log.f64 N) 2) 3)) 1) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 4) (+.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2))) (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (-.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) 2)) (pow.f64 (log.f64 N) 2))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(fabs.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 N 1) N)) 1))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))

simplify208.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
866×associate-+r-
838×associate-*r*
804×associate-/l*
636×fma-def
596×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052814295
1163313709
2769013709
Stop Event
1×node limit
Counts
183 → 268
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) 1))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 3) (pow.f64 (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))) (+.f64 (*.f64 (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (log.f64 N) 3))) (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) 1) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 N) 3) 3) (pow.f64 (pow.f64 (log.f64 N) 3) 3)) 1) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (*.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) 1) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 N) 2) 3) (pow.f64 (pow.f64 (log.f64 N) 2) 3)) 1) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 4) (+.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2))) (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (-.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) 2)) (pow.f64 (log.f64 N) 2))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(fabs.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 N 1) N)) 1))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (neg.f64 (log.f64 N))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (log.f64 N))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log1p.f64 N) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (log.f64 N)))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log1p.f64 N) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (log.f64 N))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log1p.f64 N) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log1p.f64 N) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 2 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(fma.f64 2 (+.f64 (log.f64 N) (neg.f64 (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (-.f64 (+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (-.f64 (+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (-.f64 (+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (log1p.f64 N) (+.f64 (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (-.f64 (+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (log.f64 N)))
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(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(-.f64 (log1p.f64 N) (log.f64 N))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(-.f64 (log1p.f64 N) (log.f64 N))
(fabs.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 N 1) N)) 1))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))

eval179.0ms (2.3%)

Compiler

Compiled 7930 to 2959 computations (62.7% saved)

prune42.0ms (0.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2626268
Fresh000
Picked101
Done000
Total2636269
Accuracy
100.0%
Counts
269 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶46.7%
(/.f64 1 N)
44.0%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
▶57.2%
(-.f64 N (log.f64 N))
▶45.2%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
▶56.2%
(neg.f64 (log.f64 N))
▶59.0%
(log.f64 (/.f64 (+.f64 N 1) N))
▶46.7%
(/.f64 1 N)
44.0%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
▶57.2%
(-.f64 N (log.f64 N))
▶45.2%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
▶56.2%
(neg.f64 (log.f64 N))
▶59.0%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 232 to 180 computations (22.4% saved)

localize253.0ms (3.3%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓99.7%
(/.f64 1/2 (pow.f64 N 2))
✓99.6%
(/.f64 1/3 (pow.f64 N 3))
✓80.4%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
✓100.0%
(-.f64 N (log.f64 N))
✓100.0%
(/.f64 (+.f64 N 1) N)
✓59.0%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 85 to 56 computations (34.1% saved)

series15.0ms (0.2%)

Counts
7 → 60
Calls

21 calls:

TimeVariablePointExpression
4.0ms
N
@0
(-.f64 N (log.f64 N))
3.0ms
N
@-inf
(-.f64 N (log.f64 N))
3.0ms
N
@inf
(-.f64 N (log.f64 N))
1.0ms
N
@0
(/.f64 1/3 (pow.f64 N 3))
0.0ms
N
@0
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))

rewrite220.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
1668×associate-/l*
428×+-commutative
378×associate-+l+
284×associate-+r+
278×associate-+r-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023174
1351168
25194168
Stop Event
1×node limit
Counts
7 → 367
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 N 1) N)
(-.f64 N (log.f64 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
Outputs
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (neg.f64 (log.f64 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 N)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (neg.f64 (log.f64 N))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) (log.f64 (cbrt.f64 (/.f64 1 N))))
(+.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 N -1/2))) (log.f64 (pow.f64 N -1/2)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (-.f64 (log1p.f64 N) (exp.f64 (log1p.f64 (log.f64 N)))) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (log1p.f64 (pow.f64 N 3)) (-.f64 (log.f64 (fma.f64 N N (-.f64 1 N))) (neg.f64 (log.f64 N))))
(-.f64 (log1p.f64 (pow.f64 N 3)) (+.f64 (log.f64 (fma.f64 N N (-.f64 1 N))) (log.f64 N)))
(-.f64 (log.f64 (fma.f64 N N -1)) (-.f64 (log.f64 (+.f64 N -1)) (neg.f64 (log.f64 N))))
(-.f64 (log.f64 (fma.f64 N N -1)) (+.f64 (log.f64 (+.f64 N -1)) (log.f64 N)))
(-.f64 (log.f64 (-.f64 -1 N)) (log.f64 (neg.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (+.f64 (log1p.f64 N) (log.f64 -1)) (log.f64 (neg.f64 N)))
(-.f64 (+.f64 0 (log.f64 (-.f64 -1 N))) (log.f64 (neg.f64 N)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(-.f64 (-.f64 (log1p.f64 N) 0) (log.f64 N))
(-.f64 (-.f64 (log1p.f64 N) (log.f64 (pow.f64 (cbrt.f64 N) 2))) (log.f64 (cbrt.f64 N)))
(-.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) (log.f64 (sqrt.f64 N)))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N 1) N))) 1)
(*.f64 1 (/.f64 (+.f64 N 1) N))
(*.f64 (+.f64 N 1) (/.f64 1 N))
(*.f64 (/.f64 (+.f64 N 1) N) 1)
(*.f64 (/.f64 1 N) (+.f64 N 1))
(*.f64 (-.f64 -1 N) (/.f64 1 (neg.f64 N)))
(*.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 N 1) (sqrt.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (*.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (*.f64 (+.f64 N 1) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(*.f64 (*.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 N -2))) (cbrt.f64 (/.f64 1 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N 1) (cbrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1) (/.f64 (sqrt.f64 (+.f64 N 1)) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 N 1)) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(pow.f64 (/.f64 (+.f64 N 1) N) 1)
(pow.f64 (/.f64 N (+.f64 N 1)) -1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3) 1/3)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 N) (log.f64 N)))
(neg.f64 (/.f64 (+.f64 N 1) (neg.f64 N)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 N 1) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 N 1) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N -3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 N 1) N)))
(exp.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 N 1) N)))
(+.f64 N (neg.f64 (log.f64 N)))
(+.f64 N (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 N (+.f64 (*.f64 (neg.f64 (log.f64 N)) 1) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 N (+.f64 (*.f64 (neg.f64 (log.f64 N)) 1) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 N (+.f64 (neg.f64 (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 N (+.f64 (*.f64 (neg.f64 (log.f64 N)) 1) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (-.f64 N (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 N (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 N (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (-.f64 N (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (-.f64 N (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (-.f64 N (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (-.f64 N (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 N (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (-.f64 N (log.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) N)
(+.f64 (neg.f64 (log.f64 N)) (+.f64 N (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (+.f64 N (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (+.f64 N (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.f64 0 (-.f64 N (log.f64 N)))
(+.f64 (*.f64 (neg.f64 (log.f64 N)) 1) N)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (+.f64 (log.f64 (cbrt.f64 (/.f64 1 N))) N))
(+.f64 (log.f64 (pow.f64 N -1/2)) (+.f64 (log.f64 (pow.f64 N -1/2)) N))
(+.f64 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)) (-.f64 N (log.f64 N)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)) (-.f64 N (log.f64 N)))
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(*.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N -3))
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(*.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) 2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) 2) (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N))
(*.f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)))
(/.f64 N (/.f64 (pow.f64 N 3) (-.f64 N 1/2)))
(/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2))))
(/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))
(/.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) (/.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))))
(/.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (+.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 (+.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))))
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (pow.f64 N 2))
(/.f64 (/.f64 N (/.f64 1 (-.f64 N 1/2))) (pow.f64 N 3))
(/.f64 (/.f64 N (/.f64 (pow.f64 N 2) (-.f64 N 1/2))) N)
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3/2)) (pow.f64 N 3/2))
(/.f64 (-.f64 (pow.f64 N -2) (*.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/2 (pow.f64 N 2)))) (-.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 3)) (+.f64 (pow.f64 N -2) (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/2 (pow.f64 N 2))) (*.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 N 2) 2) N) (*.f64 N (*.f64 (pow.f64 N 2) 2)))
(/.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 N -1/2)) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 N 2) 2)) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (*.f64 (pow.f64 N 2) 2)))
(/.f64 (-.f64 0 (*.f64 N (-.f64 N 1/2))) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 (pow.f64 N 2))) (*.f64 (neg.f64 N) -1/2)) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (neg.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6)))) (neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))))))
(/.f64 (neg.f64 (*.f64 N (-.f64 N 1/2))) (neg.f64 (pow.f64 N 3)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) (sqrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6)))) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (sqrt.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))))))
(/.f64 (sqrt.f64 (*.f64 N (-.f64 N 1/2))) (/.f64 (pow.f64 N 3) (sqrt.f64 (*.f64 N (-.f64 N 1/2)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) (cbrt.f64 (*.f64 N (-.f64 N 1/2)))) (/.f64 (pow.f64 N 3) (cbrt.f64 (*.f64 N (-.f64 N 1/2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6)))) (cbrt.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))))) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (cbrt.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))))) (/.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))))))
(pow.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))) 2)
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) 3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))))
(fma.f64 1 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (/.f64 -1/2 (pow.f64 N 2)))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (/.f64 -1/2 (pow.f64 N 2)))

simplify240.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
896×associate-*r*
848×+-commutative
790×associate-*l*
704×associate-/r*
622×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092423423
1236922650
Stop Event
1×node limit
Counts
427 → 601
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
N
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (neg.f64 (log.f64 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 N)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (neg.f64 (log.f64 N))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) (log.f64 (cbrt.f64 (/.f64 1 N))))
(+.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 N -1/2))) (log.f64 (pow.f64 N -1/2)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (-.f64 (log1p.f64 N) (exp.f64 (log1p.f64 (log.f64 N)))) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (log1p.f64 (pow.f64 N 3)) (-.f64 (log.f64 (fma.f64 N N (-.f64 1 N))) (neg.f64 (log.f64 N))))
(-.f64 (log1p.f64 (pow.f64 N 3)) (+.f64 (log.f64 (fma.f64 N N (-.f64 1 N))) (log.f64 N)))
(-.f64 (log.f64 (fma.f64 N N -1)) (-.f64 (log.f64 (+.f64 N -1)) (neg.f64 (log.f64 N))))
(-.f64 (log.f64 (fma.f64 N N -1)) (+.f64 (log.f64 (+.f64 N -1)) (log.f64 N)))
(-.f64 (log.f64 (-.f64 -1 N)) (log.f64 (neg.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (+.f64 (log1p.f64 N) (log.f64 -1)) (log.f64 (neg.f64 N)))
(-.f64 (+.f64 0 (log.f64 (-.f64 -1 N))) (log.f64 (neg.f64 N)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(-.f64 (-.f64 (log1p.f64 N) 0) (log.f64 N))
(-.f64 (-.f64 (log1p.f64 N) (log.f64 (pow.f64 (cbrt.f64 N) 2))) (log.f64 (cbrt.f64 N)))
(-.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) (log.f64 (sqrt.f64 N)))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N 1) N))) 1)
(*.f64 1 (/.f64 (+.f64 N 1) N))
(*.f64 (+.f64 N 1) (/.f64 1 N))
(*.f64 (/.f64 (+.f64 N 1) N) 1)
(*.f64 (/.f64 1 N) (+.f64 N 1))
(*.f64 (-.f64 -1 N) (/.f64 1 (neg.f64 N)))
(*.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 N 1) (sqrt.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (*.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (*.f64 (+.f64 N 1) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(*.f64 (*.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 N -2))) (cbrt.f64 (/.f64 1 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N 1) (cbrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1) (/.f64 (sqrt.f64 (+.f64 N 1)) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 N 1)) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(pow.f64 (/.f64 (+.f64 N 1) N) 1)
(pow.f64 (/.f64 N (+.f64 N 1)) -1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3) 1/3)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 N) (log.f64 N)))
(neg.f64 (/.f64 (+.f64 N 1) (neg.f64 N)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 N 1) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 N 1) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3))
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(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (+.f64 (fma.f64 (/.f64 -1/2 (pow.f64 N 2)) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (fma.f64 (/.f64 -1/2 (pow.f64 N 2)) 1 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))
(+.f64 (*.f64 (/.f64 -1/2 (pow.f64 N 2)) 1) (/.f64 1 N))
(+.f64 (fma.f64 (/.f64 -1/2 (pow.f64 N 2)) 1 (*.f64 1/2 (pow.f64 N -2))) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(+.f64 (-.f64 (/.f64 1 N) (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2))))) 1)
(*.f64 1 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(*.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1)
(*.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (/.f64 1 (+.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))))))
(*.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N -3))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))) (sqrt.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) 2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) 2) (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N))
(*.f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)))
(/.f64 N (/.f64 (pow.f64 N 3) (-.f64 N 1/2)))
(/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (-.f64 N 1/2))))
(/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))
(/.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) (/.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))))
(/.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (+.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 (+.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))))
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (/.f64 N (/.f64 N (-.f64 N 1/2))) (pow.f64 N 2))
(/.f64 (/.f64 N (/.f64 1 (-.f64 N 1/2))) (pow.f64 N 3))
(/.f64 (/.f64 N (/.f64 (pow.f64 N 2) (-.f64 N 1/2))) N)
(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3/2)) (pow.f64 N 3/2))
(/.f64 (-.f64 (pow.f64 N -2) (*.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/2 (pow.f64 N 2)))) (-.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (/.f64 -1/2 (pow.f64 N 2)) 3)) (+.f64 (pow.f64 N -2) (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/2 (pow.f64 N 2))) (*.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 N 2) 2) N) (*.f64 N (*.f64 (pow.f64 N 2) 2)))
(/.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 N -1/2)) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 N 2) 2)) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (*.f64 (pow.f64 N 2) 2)))
(/.f64 (-.f64 0 (*.f64 N (-.f64 N 1/2))) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 (pow.f64 N 2))) (*.f64 (neg.f64 N) -1/2)) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (neg.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6)))) (neg.f64 (+.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))))))
(/.f64 (neg.f64 (*.f64 N (-.f64 N 1/2))) (neg.f64 (pow.f64 N 3)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) (sqrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6)))) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (sqrt.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))))))
(/.f64 (sqrt.f64 (*.f64 N (-.f64 N 1/2))) (/.f64 (pow.f64 N 3) (sqrt.f64 (*.f64 N (-.f64 N 1/2)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) (cbrt.f64 (*.f64 N (-.f64 N 1/2)))) (/.f64 (pow.f64 N 3) (cbrt.f64 (*.f64 N (-.f64 N 1/2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6)))) (cbrt.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))))) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (cbrt.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))))) (/.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))))))
(pow.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))) 2)
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) 3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))))
(fma.f64 1 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (/.f64 -1/2 (pow.f64 N 2)))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (/.f64 -1/2 (pow.f64 N 2)))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))) (-.f64 N (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2))))
(/.f64 1 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
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(/.f64 -1/2 (pow.f64 N 2))
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(*.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) (/.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 3)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) (cbrt.f64 (*.f64 N (-.f64 N 1/2)))) (/.f64 (pow.f64 N 3) (cbrt.f64 (*.f64 N (-.f64 N 1/2)))))
(/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) (/.f64 (/.f64 (pow.f64 N 3) (cbrt.f64 (*.f64 N (+.f64 N -1/2)))) (cbrt.f64 (*.f64 N (+.f64 N -1/2)))))
(/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) (/.f64 (pow.f64 N 3) (*.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) (cbrt.f64 (*.f64 N (+.f64 N -1/2))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6)))) (cbrt.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))))) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (cbrt.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6)))) (cbrt.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))))) (+.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))))) (cbrt.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 N 6)))) (/.f64 (+.f64 (pow.f64 N -2) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 3)))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 N 6)))) (cbrt.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 N 6)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))))) (/.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))))) (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (pow.f64 N 4)))) (cbrt.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (pow.f64 N 4))))) (cbrt.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (pow.f64 N 4))))) (+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2))))
(pow.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 3) 1/3)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))) 2)
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (-.f64 N 1/2))) N) 3)
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N) 3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) 3))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))) 1))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(fma.f64 1 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (/.f64 -1/2 (pow.f64 N 2)))
(+.f64 (/.f64 -1/2 (pow.f64 N 2)) (pow.f64 N -1))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (/.f64 -1/2 (pow.f64 N 2)))

eval471.0ms (6.2%)

Compiler

Compiled 13799 to 10112 computations (26.7% saved)

prune102.0ms (1.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New5983601
Fresh011
Picked145
Done000
Total5998607
Accuracy
100.0%
Counts
607 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓46.7%
(/.f64 1 N)
▶4.9%
(/.f64 1/3 (pow.f64 N 3))
▶44.0%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
✓57.2%
(-.f64 N (log.f64 N))
▶13.7%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 N (/.f64 (pow.f64 N 3) (-.f64 N 1/2))))
✓56.2%
(neg.f64 (log.f64 N))
✓59.0%
(log.f64 (/.f64 (+.f64 N 1) N))
4.6%
N
✓46.7%
(/.f64 1 N)
▶4.9%
(/.f64 1/3 (pow.f64 N 3))
▶44.0%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
✓57.2%
(-.f64 N (log.f64 N))
▶13.7%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 N (/.f64 (pow.f64 N 3) (-.f64 N 1/2))))
✓56.2%
(neg.f64 (log.f64 N))
✓59.0%
(log.f64 (/.f64 (+.f64 N 1) N))
4.6%
N
Compiler

Compiled 132 to 100 computations (24.2% saved)

localize187.0ms (2.4%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 1/3 (pow.f64 N 3))
99.7%
(/.f64 1/2 (pow.f64 N 2))
✓99.6%
(/.f64 1/4 (pow.f64 N 4))
99.6%
(/.f64 1/3 (pow.f64 N 3))
✓64.0%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
99.6%
(/.f64 1/3 (pow.f64 N 3))
✓91.3%
(/.f64 (pow.f64 N 3) (-.f64 N 1/2))
✓80.4%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 N (/.f64 (pow.f64 N 3) (-.f64 N 1/2))))
✓68.0%
(/.f64 N (/.f64 (pow.f64 N 3) (-.f64 N 1/2)))
Compiler

Compiled 135 to 103 computations (23.7% saved)

series4.0ms (0%)

Counts
5 → 48
Calls

15 calls:

TimeVariablePointExpression
1.0ms
N
@0
(/.f64 1/4 (pow.f64 N 4))
0.0ms
N
@0
(/.f64 N (/.f64 (pow.f64 N 3) (-.f64 N 1/2)))
0.0ms
N
@-inf
(/.f64 N (/.f64 (pow.f64 N 3) (-.f64 N 1/2)))
0.0ms
N
@0
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
0.0ms
N
@inf
(/.f64 N (/.f64 (pow.f64 N 3) (-.f64 N 1/2)))

rewrite160.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
666×+-commutative
370×associate-+r+
312×associate-*r*
230×frac-times
200×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026203
1437173
27488173
Stop Event
1×node limit
Counts
5 → 248
Calls
Call 1
Inputs
(/.f64 N (/.f64 (pow.f64 N 3) (-.f64 N 1/2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 N (/.f64 (pow.f64 N 3) (-.f64 N 1/2))))
(/.f64 (pow.f64 N 3) (-.f64 N 1/2))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(/.f64 1/4 (pow.f64 N 4))
Outputs
(+.f64 (*.f64 (pow.f64 N -2) N) (*.f64 (pow.f64 N -2) -1/2))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (*.f64 (pow.f64 N -2) N))
(+.f64 (*.f64 N (pow.f64 N -2)) (*.f64 -1/2 (pow.f64 N -2)))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 N (pow.f64 N -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) 1)
(*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3)))
(*.f64 (+.f64 N -1/2) (pow.f64 N -2))
(*.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 1)
(*.f64 1 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(*.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -3)) N)
(*.f64 (pow.f64 N -3) (/.f64 N (/.f64 1 (+.f64 N -1/2))))
(*.f64 (neg.f64 N) (/.f64 1 (/.f64 (neg.f64 (pow.f64 N 3)) (+.f64 N -1/2))))
(*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (*.f64 (+.f64 N -1/2) (pow.f64 N -3))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) (sqrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) (*.f64 (+.f64 N -1/2) (pow.f64 N -3))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(*.f64 (*.f64 (pow.f64 N -2) (sqrt.f64 (+.f64 N -1/2))) (sqrt.f64 (+.f64 N -1/2)))
(*.f64 (*.f64 (pow.f64 N -2) (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2)) (cbrt.f64 (+.f64 N -1/2)))
(*.f64 (*.f64 (pow.f64 N -2) 1) (+.f64 N -1/2))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))) (/.f64 N (sqrt.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))))
(*.f64 (/.f64 1 (pow.f64 (/.f64 N (cbrt.f64 (+.f64 N -1/2))) 2)) (/.f64 N (/.f64 N (cbrt.f64 (+.f64 N -1/2)))))
(*.f64 (/.f64 N (neg.f64 (pow.f64 N 3))) (+.f64 1/2 (neg.f64 N)))
(*.f64 (/.f64 (sqrt.f64 N) (pow.f64 N 3)) (/.f64 (sqrt.f64 N) (/.f64 1 (+.f64 N -1/2))))
(*.f64 (/.f64 (sqrt.f64 N) 1) (/.f64 (sqrt.f64 N) (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(*.f64 (/.f64 (sqrt.f64 N) (pow.f64 (/.f64 N (cbrt.f64 (+.f64 N -1/2))) 2)) (/.f64 (sqrt.f64 N) (/.f64 N (cbrt.f64 (+.f64 N -1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 N 3)) (/.f64 (cbrt.f64 N) (/.f64 1 (+.f64 N -1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) 1) (/.f64 (cbrt.f64 N) (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (sqrt.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))) (/.f64 (cbrt.f64 N) (sqrt.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (/.f64 N (cbrt.f64 (+.f64 N -1/2))) 2)) (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 1)
(pow.f64 (/.f64 1 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) -1)
(pow.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 3)
(neg.f64 (/.f64 N (/.f64 (neg.f64 (pow.f64 N 3)) (+.f64 N -1/2))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) (+.f64 N -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(-.f64 (/.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) (/.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 2) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3))))) 1)
(*.f64 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3))) 1)
(*.f64 1 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3))))
(*.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 2)) (/.f64 1 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(*.f64 (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3)) (/.f64 1 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) (-.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) (*.f64 1/3 (pow.f64 N -3)))))))
(*.f64 (fma.f64 1/3 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) (pow.f64 N 4)) (/.f64 1 (/.f64 (pow.f64 N 6) (+.f64 N -1/2))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3)))) (sqrt.f64 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3)))))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3)))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3))) 2)) (cbrt.f64 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) (-.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) (*.f64 1/3 (pow.f64 N -3))))) (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3))))
(/.f64 1 (/.f64 (/.f64 (pow.f64 N 6) (+.f64 N -1/2)) (fma.f64 1/3 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) (pow.f64 N 4))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 2)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(/.f64 (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) (-.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) (*.f64 1/3 (pow.f64 N -3))))))
(/.f64 (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (*.f64 N 1/3) (/.f64 (pow.f64 N 6) (+.f64 N -1/2))))))
(/.f64 (fma.f64 1/3 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) (pow.f64 N 4)) (/.f64 (pow.f64 N 6) (+.f64 N -1/2)))
(/.f64 (/.f64 (fma.f64 1/3 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) (pow.f64 N 4)) (pow.f64 N 3)) (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))
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(*.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2)) (/.f64 1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (*.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N))) (-.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (*.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2)) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3)) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (*.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(/.f64 (-.f64 (pow.f64 N -2) (*.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) (-.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 (-.f64 (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N -2))) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N -2)))) (/.f64 1/16 (pow.f64 N 8))) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N -2)))))
(/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3)) (+.f64 (pow.f64 N -2) (-.f64 (*.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (*.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3)) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (-.f64 (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N -2))) 3) (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3)) (+.f64 (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N -2))) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N -2)))) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (+.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))) (*.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (-.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (+.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))) (/.f64 1/8 (pow.f64 N 6)))) (*.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (+.f64 (/.f64 1/8 (pow.f64 N 6)) (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3)))) (*.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))) (/.f64 1/8 (pow.f64 N 6)))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (pow.f64 N 6)) (*.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (*.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (pow.f64 N 6)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (+.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (-.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (+.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))) (/.f64 1/8 (pow.f64 N 6)))) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (+.f64 (/.f64 1/8 (pow.f64 N 6)) (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3)))) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))) (/.f64 1/8 (pow.f64 N 6)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (pow.f64 N 6)) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (pow.f64 N 6)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (+.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))) (*.f64 (pow.f64 N 4) (-.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 (pow.f64 N 4) (+.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))) (/.f64 1/8 (pow.f64 N 6)))) (*.f64 (pow.f64 N 4) (+.f64 (/.f64 1/8 (pow.f64 N 6)) (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3)))) (*.f64 (pow.f64 N 4) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))) (/.f64 1/8 (pow.f64 N 6)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (pow.f64 N 6)) (*.f64 (pow.f64 N 4) (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (*.f64 (pow.f64 N 4) (pow.f64 N 6)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2))) (neg.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (*.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(exp.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(fma.f64 1 (/.f64 1 N) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) 1)
(*.f64 1/2 (*.f64 (pow.f64 N -2) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 1 (*.f64 1/4 (pow.f64 N -4)))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/4 (pow.f64 N -4))
(*.f64 1/4 (*.f64 (pow.f64 N -2) (pow.f64 N -2)))
(*.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(*.f64 (pow.f64 N -4) 1/4)
(*.f64 -1/4 (/.f64 1 (neg.f64 (pow.f64 N 4))))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1/2) (pow.f64 N -2))
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N))
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(pow.f64 (*.f64 (pow.f64 N 4) 4) -1)
(pow.f64 (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3)
(sqrt.f64 (/.f64 1/16 (pow.f64 N 8)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 N -4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 N -4)))))
(cbrt.f64 (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 N -4))))

simplify203.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
1436×associate-*r*
1352×associate-*l*
1008×associate-/r*
706×*-commutative
524×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069819390
1197618935
Stop Event
1×node limit
Counts
296 → 430
Calls
Call 1
Inputs
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(*.f64 -2 (pow.f64 N 3))
(+.f64 (*.f64 -4 (pow.f64 N 4)) (*.f64 -2 (pow.f64 N 3)))
(+.f64 (*.f64 -8 (pow.f64 N 5)) (+.f64 (*.f64 -4 (pow.f64 N 4)) (*.f64 -2 (pow.f64 N 3))))
(+.f64 (*.f64 -16 (pow.f64 N 6)) (+.f64 (*.f64 -8 (pow.f64 N 5)) (+.f64 (*.f64 -4 (pow.f64 N 4)) (*.f64 -2 (pow.f64 N 3)))))
(pow.f64 N 2)
(+.f64 (*.f64 1/2 N) (pow.f64 N 2))
(+.f64 1/4 (+.f64 (*.f64 1/2 N) (pow.f64 N 2)))
(+.f64 1/4 (+.f64 (*.f64 1/8 (/.f64 1 N)) (+.f64 (*.f64 1/2 N) (pow.f64 N 2))))
(pow.f64 N 2)
(+.f64 (*.f64 1/2 N) (pow.f64 N 2))
(+.f64 1/4 (+.f64 (*.f64 1/2 N) (pow.f64 N 2)))
(+.f64 1/4 (+.f64 (*.f64 1/8 (/.f64 1 N)) (+.f64 (*.f64 1/2 N) (pow.f64 N 2))))
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (*.f64 (pow.f64 N -2) N) (*.f64 (pow.f64 N -2) -1/2))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (*.f64 (pow.f64 N -2) N))
(+.f64 (*.f64 N (pow.f64 N -2)) (*.f64 -1/2 (pow.f64 N -2)))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 N (pow.f64 N -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) 1)
(*.f64 N (*.f64 (+.f64 N -1/2) (pow.f64 N -3)))
(*.f64 (+.f64 N -1/2) (pow.f64 N -2))
(*.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 1)
(*.f64 1 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(*.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -3)) N)
(*.f64 (pow.f64 N -3) (/.f64 N (/.f64 1 (+.f64 N -1/2))))
(*.f64 (neg.f64 N) (/.f64 1 (/.f64 (neg.f64 (pow.f64 N 3)) (+.f64 N -1/2))))
(*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (*.f64 (+.f64 N -1/2) (pow.f64 N -3))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) (sqrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) (*.f64 (+.f64 N -1/2) (pow.f64 N -3))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(*.f64 (*.f64 (pow.f64 N -2) (sqrt.f64 (+.f64 N -1/2))) (sqrt.f64 (+.f64 N -1/2)))
(*.f64 (*.f64 (pow.f64 N -2) (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2)) (cbrt.f64 (+.f64 N -1/2)))
(*.f64 (*.f64 (pow.f64 N -2) 1) (+.f64 N -1/2))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))) (/.f64 N (sqrt.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))))
(*.f64 (/.f64 1 (pow.f64 (/.f64 N (cbrt.f64 (+.f64 N -1/2))) 2)) (/.f64 N (/.f64 N (cbrt.f64 (+.f64 N -1/2)))))
(*.f64 (/.f64 N (neg.f64 (pow.f64 N 3))) (+.f64 1/2 (neg.f64 N)))
(*.f64 (/.f64 (sqrt.f64 N) (pow.f64 N 3)) (/.f64 (sqrt.f64 N) (/.f64 1 (+.f64 N -1/2))))
(*.f64 (/.f64 (sqrt.f64 N) 1) (/.f64 (sqrt.f64 N) (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(*.f64 (/.f64 (sqrt.f64 N) (pow.f64 (/.f64 N (cbrt.f64 (+.f64 N -1/2))) 2)) (/.f64 (sqrt.f64 N) (/.f64 N (cbrt.f64 (+.f64 N -1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 N 3)) (/.f64 (cbrt.f64 N) (/.f64 1 (+.f64 N -1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) 1) (/.f64 (cbrt.f64 N) (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (sqrt.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))) (/.f64 (cbrt.f64 N) (sqrt.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (/.f64 N (cbrt.f64 (+.f64 N -1/2))) 2)) (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 1)
(pow.f64 (/.f64 1 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) -1)
(pow.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 3)
(neg.f64 (/.f64 N (/.f64 (neg.f64 (pow.f64 N 3)) (+.f64 N -1/2))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 N -2)) (+.f64 N -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(-.f64 (/.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) (/.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 2) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3))))) 1)
(*.f64 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3))) 1)
(*.f64 1 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3))))
(*.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 2)) (/.f64 1 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(*.f64 (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3)) (/.f64 1 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) (-.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) (*.f64 1/3 (pow.f64 N -3)))))))
(*.f64 (fma.f64 1/3 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) (pow.f64 N 4)) (/.f64 1 (/.f64 (pow.f64 N 6) (+.f64 N -1/2))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3)))) (sqrt.f64 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3)))))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3)))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3))) 2)) (cbrt.f64 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) (-.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) (*.f64 1/3 (pow.f64 N -3))))) (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3))))
(/.f64 1 (/.f64 (/.f64 (pow.f64 N 6) (+.f64 N -1/2)) (fma.f64 1/3 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) (pow.f64 N 4))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 2)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(/.f64 (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) (-.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) (*.f64 1/3 (pow.f64 N -3))))))
(/.f64 (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (*.f64 N 1/3) (/.f64 (pow.f64 N 6) (+.f64 N -1/2))))))
(/.f64 (fma.f64 1/3 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) (pow.f64 N 4)) (/.f64 (pow.f64 N 6) (+.f64 N -1/2)))
(/.f64 (/.f64 (fma.f64 1/3 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) (pow.f64 N 4)) (pow.f64 N 3)) (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) (*.f64 1/3 (pow.f64 N -3))))
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(/.f64 (+.f64 (*.f64 N (neg.f64 (pow.f64 N 3))) (*.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) -1/3)) (*.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) (neg.f64 (pow.f64 N 3))))
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(/.f64 (+.f64 (*.f64 (neg.f64 N) (*.f64 (pow.f64 N 3) 3)) (*.f64 (/.f64 (neg.f64 (pow.f64 N 3)) (+.f64 N -1/2)) 1)) (*.f64 (/.f64 (neg.f64 (pow.f64 N 3)) (+.f64 N -1/2)) (*.f64 (pow.f64 N 3) 3)))
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(/.f64 (+.f64 (pow.f64 N 3) (*.f64 1/3 (/.f64 1 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))) (*.f64 (pow.f64 N 3) (/.f64 1 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(/.f64 (+.f64 (*.f64 (pow.f64 N 3) (neg.f64 N)) (*.f64 1/3 (/.f64 (neg.f64 (pow.f64 N 3)) (+.f64 N -1/2)))) (*.f64 (pow.f64 N 3) (/.f64 (neg.f64 (pow.f64 N 3)) (+.f64 N -1/2))))
(/.f64 (+.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) (*.f64 (*.f64 (pow.f64 N 3) 3) N)) (*.f64 (*.f64 (pow.f64 N 3) 3) (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) (*.f64 (*.f64 (pow.f64 N 3) 3) 1)) (*.f64 (*.f64 (pow.f64 N 3) 3) (/.f64 1 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(/.f64 (+.f64 (/.f64 (neg.f64 (pow.f64 N 3)) (+.f64 N -1/2)) (*.f64 (*.f64 (pow.f64 N 3) 3) (neg.f64 N))) (*.f64 (*.f64 (pow.f64 N 3) 3) (/.f64 (neg.f64 (pow.f64 N 3)) (+.f64 N -1/2))))
(/.f64 (+.f64 (*.f64 (neg.f64 (pow.f64 N 3)) N) (*.f64 -1/3 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))) (*.f64 (neg.f64 (pow.f64 N 3)) (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(/.f64 (+.f64 (*.f64 (neg.f64 (pow.f64 N 3)) 1) (*.f64 -1/3 (/.f64 1 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))) (*.f64 (neg.f64 (pow.f64 N 3)) (/.f64 1 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(/.f64 (+.f64 (*.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 N)) (*.f64 -1/3 (/.f64 (neg.f64 (pow.f64 N 3)) (+.f64 N -1/2)))) (*.f64 (neg.f64 (pow.f64 N 3)) (/.f64 (neg.f64 (pow.f64 N 3)) (+.f64 N -1/2))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 2))) (neg.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(/.f64 (neg.f64 (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3))) (neg.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) (-.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) (*.f64 1/3 (pow.f64 N -3)))))))
(/.f64 (neg.f64 (fma.f64 1/3 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) (pow.f64 N 4))) (neg.f64 (/.f64 (pow.f64 N 6) (+.f64 N -1/2))))
(pow.f64 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3)))) 3)
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(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3))) 2))
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(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 (-.f64 (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N -2))) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N -2)))) (/.f64 1/16 (pow.f64 N 8))) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N -2)))))
(/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3)) (+.f64 (pow.f64 N -2) (-.f64 (*.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (*.f64 (/.f64 1 N) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3)) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (-.f64 (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N -2))) 3) (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3)) (+.f64 (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N -2))) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N -2)))) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (*.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (+.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))) (*.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (-.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (+.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))) (/.f64 1/8 (pow.f64 N 6)))) (*.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (+.f64 (/.f64 1/8 (pow.f64 N 6)) (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3)))) (*.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))) (/.f64 1/8 (pow.f64 N 6)))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 N -2) (/.f64 1/9 (pow.f64 N 6))) (pow.f64 N 6)) (*.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (*.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (pow.f64 N 6)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (+.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (-.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (+.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))) (/.f64 1/8 (pow.f64 N 6)))) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (+.f64 (/.f64 1/8 (pow.f64 N 6)) (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3)))) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))) (/.f64 1/8 (pow.f64 N 6)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 N -3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (pow.f64 N 6)) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (*.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/3 (pow.f64 N 4)))) (pow.f64 N 6)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (+.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))) (*.f64 (pow.f64 N 4) (-.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (*.f64 (pow.f64 N 4) (+.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))) (/.f64 1/8 (pow.f64 N 6)))) (*.f64 (pow.f64 N 4) (+.f64 (/.f64 1/8 (pow.f64 N 6)) (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3)))) (*.f64 (pow.f64 N 4) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))) (/.f64 1/8 (pow.f64 N 6)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 N 3) (*.f64 N 1/3)) (pow.f64 N 6)) (*.f64 (pow.f64 N 4) (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (*.f64 (pow.f64 N 4) (pow.f64 N 6)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 2))) (neg.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (*.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(exp.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(fma.f64 1 (/.f64 1 N) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) 1)
(*.f64 1/2 (*.f64 (pow.f64 N -2) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 1 (*.f64 1/4 (pow.f64 N -4)))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/4 (pow.f64 N -4))
(*.f64 1/4 (*.f64 (pow.f64 N -2) (pow.f64 N -2)))
(*.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(*.f64 (pow.f64 N -4) 1/4)
(*.f64 -1/4 (/.f64 1 (neg.f64 (pow.f64 N 4))))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1/2) (pow.f64 N -2))
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N))
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(pow.f64 (*.f64 (pow.f64 N 4) 4) -1)
(pow.f64 (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3)
(sqrt.f64 (/.f64 1/16 (pow.f64 N 8)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 N -4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 N -4)))))
(cbrt.f64 (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 N -4))))
Outputs
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 1/3 (pow.f64 N 3)))
(*.f64 -2 (pow.f64 N 3))
(*.f64 (pow.f64 N 3) -2)
(+.f64 (*.f64 -4 (pow.f64 N 4)) (*.f64 -2 (pow.f64 N 3)))
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(fma.f64 -1/4 (pow.f64 N -4) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 1))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 -1/4 (pow.f64 N -4) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 -1/4 (pow.f64 N -4) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(fma.f64 1 (/.f64 1 N) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 -1/4 (pow.f64 N -4) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 -1/4 (pow.f64 N -4) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4))))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (fma.f64 1/3 (pow.f64 N -3) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) 1)
(*.f64 1/4 (pow.f64 N -4))
(*.f64 1/2 (*.f64 (pow.f64 N -2) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 1/4 (pow.f64 N -4))
(*.f64 1 (*.f64 1/4 (pow.f64 N -4)))
(*.f64 1/4 (pow.f64 N -4))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/4 (pow.f64 N -4))
(*.f64 1/4 (pow.f64 N -4))
(*.f64 1/4 (*.f64 (pow.f64 N -2) (pow.f64 N -2)))
(*.f64 1/4 (pow.f64 N -4))
(*.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(*.f64 1/4 (pow.f64 N -4))
(*.f64 (pow.f64 N -4) 1/4)
(*.f64 1/4 (pow.f64 N -4))
(*.f64 -1/4 (/.f64 1 (neg.f64 (pow.f64 N 4))))
(/.f64 -1/4 (neg.f64 (pow.f64 N 4)))
(/.f64 1/4 (pow.f64 N 4))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N)))
(*.f64 1/2 (*.f64 (/.f64 (*.f64 (pow.f64 N -2) (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N)))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (*.f64 (*.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1/2) (pow.f64 N -2))
(*.f64 1/4 (pow.f64 N -4))
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N)))
(*.f64 1/2 (*.f64 (/.f64 (*.f64 (pow.f64 N -2) (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N)))
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (*.f64 (*.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)
(*.f64 1/4 (pow.f64 N -4))
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(*.f64 1/4 (pow.f64 N -4))
(pow.f64 (*.f64 (pow.f64 N 4) 4) -1)
(/.f64 -1/4 (neg.f64 (pow.f64 N 4)))
(/.f64 1/4 (pow.f64 N 4))
(pow.f64 (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3) 1/3)
(*.f64 1/4 (pow.f64 N -4))
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3)
(*.f64 1/4 (pow.f64 N -4))
(sqrt.f64 (/.f64 1/16 (pow.f64 N 8)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 N -4)))
(*.f64 (pow.f64 N -4) (log.f64 (exp.f64 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 N -4)))))
(*.f64 1/4 (pow.f64 N -4))
(cbrt.f64 (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 3))
(*.f64 1/4 (pow.f64 N -4))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 1/4 (pow.f64 N -4))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 1/4 (pow.f64 N -4))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))) 1))
(*.f64 1/4 (pow.f64 N -4))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 1/4 (pow.f64 N -4))

eval680.0ms (8.9%)

Compiler

Compiled 16199 to 12939 computations (20.1% saved)

prune80.0ms (1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New6611662
Fresh011
Picked123
Done044
Total6628670
Accuracy
100.0%
Counts
670 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓46.7%
(/.f64 1 N)
✓4.9%
(/.f64 1/3 (pow.f64 N 3))
✓44.0%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
✓57.2%
(-.f64 N (log.f64 N))
▶13.5%
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 -1/2 N)) 1/3))
✓56.2%
(neg.f64 (log.f64 N))
✓59.0%
(log.f64 (/.f64 (+.f64 N 1) N))
4.6%
N
✓46.7%
(/.f64 1 N)
✓4.9%
(/.f64 1/3 (pow.f64 N 3))
✓44.0%
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
✓57.2%
(-.f64 N (log.f64 N))
▶13.5%
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 -1/2 N)) 1/3))
✓56.2%
(neg.f64 (log.f64 N))
✓59.0%
(log.f64 (/.f64 (+.f64 N 1) N))
4.6%
N
Compiler

Compiled 124 to 94 computations (24.2% saved)

localize52.0ms (0.7%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 N (+.f64 -1/2 N))
✓100.0%
(+.f64 (*.f64 N (+.f64 -1/2 N)) 1/3)
✓67.8%
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 -1/2 N)) 1/3))
Compiler

Compiled 35 to 25 computations (28.6% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
N
@0
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 -1/2 N)) 1/3))
0.0ms
N
@-inf
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 -1/2 N)) 1/3))
0.0ms
N
@inf
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 -1/2 N)) 1/3))
0.0ms
N
@inf
(*.f64 N (+.f64 -1/2 N))
0.0ms
N
@-inf
(*.f64 N (+.f64 -1/2 N))

rewrite89.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1158×associate-*r/
938×associate-*l/
928×unswap-sqr
852×*-commutative
718×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01376
117276
2225476
Stop Event
1×node limit
Counts
3 → 180
Calls
Call 1
Inputs
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 -1/2 N)) 1/3))
(+.f64 (*.f64 N (+.f64 -1/2 N)) 1/3)
(*.f64 N (+.f64 -1/2 N))
Outputs
(+.f64 (*.f64 N (*.f64 (pow.f64 N -3) (+.f64 N -1/2))) (*.f64 (pow.f64 N -3) 1/3))
(+.f64 (*.f64 (pow.f64 N -3) 1/3) (*.f64 N (*.f64 (pow.f64 N -3) (+.f64 N -1/2))))
(+.f64 (*.f64 (pow.f64 N -3) (*.f64 N -1/2)) (+.f64 (*.f64 (pow.f64 N -3) (pow.f64 N 2)) (*.f64 (pow.f64 N -3) 1/3)))
(+.f64 (*.f64 (pow.f64 N -3) (*.f64 N -1/2)) (*.f64 (pow.f64 N -3) (+.f64 1/3 (pow.f64 N 2))))
(+.f64 (*.f64 (pow.f64 N -3) (*.f64 N -1/2)) (*.f64 (+.f64 1/3 (pow.f64 N 2)) (pow.f64 N -3)))
(+.f64 (+.f64 (*.f64 (pow.f64 N -3) 1/3) (*.f64 (pow.f64 N -3) (*.f64 N -1/2))) (*.f64 (pow.f64 N -3) (pow.f64 N 2)))
(+.f64 (*.f64 (pow.f64 N -3) (+.f64 1/3 (*.f64 N -1/2))) (*.f64 (pow.f64 N -3) (pow.f64 N 2)))
(+.f64 (*.f64 (+.f64 1/3 (*.f64 N -1/2)) (pow.f64 N -3)) (*.f64 (pow.f64 N -3) (pow.f64 N 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) 1/3)))) 1)
(/.f64 (pow.f64 N -3) (/.f64 1 (fma.f64 N (+.f64 N -1/2) 1/3)))
(/.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9) (/.f64 (fma.f64 N (+.f64 N -1/2) -1/3) (pow.f64 N -3)))
(/.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27) (/.f64 (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3))) (pow.f64 N -3)))
(/.f64 (*.f64 (pow.f64 N -3) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9)) (fma.f64 N (+.f64 N -1/2) -1/3))
(/.f64 (*.f64 (pow.f64 N -3) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27)) (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (pow.f64 N -6)) (*.f64 1/9 (pow.f64 N -6))) (*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) -1/3)))
(/.f64 (+.f64 (pow.f64 (*.f64 N (*.f64 (pow.f64 N -3) (+.f64 N -1/2))) 3) (pow.f64 (*.f64 (pow.f64 N -3) 1/3) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (pow.f64 N -6)) (-.f64 (*.f64 1/9 (pow.f64 N -6)) (*.f64 (*.f64 N (*.f64 (pow.f64 N -3) (+.f64 N -1/2))) (*.f64 (pow.f64 N -3) 1/3)))))
(/.f64 (*.f64 (pow.f64 N -3) (-.f64 1/9 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2))) (-.f64 1/3 (*.f64 N (+.f64 N -1/2))))
(/.f64 (*.f64 (pow.f64 N -3) (+.f64 (neg.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2)) 1/9)) (neg.f64 (fma.f64 N (+.f64 N -1/2) -1/3)))
(/.f64 (*.f64 (pow.f64 N -3) (+.f64 (neg.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3)) -1/27)) (neg.f64 (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3)))))
(/.f64 (*.f64 1 (*.f64 (pow.f64 N -3) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9))) (fma.f64 N (+.f64 N -1/2) -1/3))
(/.f64 (*.f64 1 (*.f64 (pow.f64 N -3) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27))) (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (pow.f64 N -6)) (*.f64 1/9 (pow.f64 N -6)))) (*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) -1/3)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 N (*.f64 (pow.f64 N -3) (+.f64 N -1/2))) 3) (pow.f64 (*.f64 (pow.f64 N -3) 1/3) 3))) (+.f64 (*.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (pow.f64 N -6)) (-.f64 (*.f64 1/9 (pow.f64 N -6)) (*.f64 (*.f64 N (*.f64 (pow.f64 N -3) (+.f64 N -1/2))) (*.f64 (pow.f64 N -3) 1/3)))))
(/.f64 (*.f64 (*.f64 (pow.f64 N -3) (sqrt.f64 (fma.f64 N (+.f64 N -1/2) 1/3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9))) (sqrt.f64 (fma.f64 N (+.f64 N -1/2) -1/3)))
(/.f64 (*.f64 (*.f64 (pow.f64 N -3) (sqrt.f64 (fma.f64 N (+.f64 N -1/2) 1/3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27))) (sqrt.f64 (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3)))))
(/.f64 (*.f64 (*.f64 (pow.f64 N -3) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N -1/2) 1/3) 2))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9))) (cbrt.f64 (fma.f64 N (+.f64 N -1/2) -1/3)))
(/.f64 (*.f64 (*.f64 (pow.f64 N -3) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N -1/2) 1/3) 2))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27))) (cbrt.f64 (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3)))))
(/.f64 (*.f64 (-.f64 1/9 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2)) (pow.f64 N -3)) (-.f64 1/3 (*.f64 N (+.f64 N -1/2))))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2)) 1/9) (pow.f64 N -3)) (neg.f64 (fma.f64 N (+.f64 N -1/2) -1/3)))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3)) -1/27) (pow.f64 N -3)) (neg.f64 (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3)))))
(/.f64 (*.f64 (*.f64 (pow.f64 N -3) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9)) 1) (fma.f64 N (+.f64 N -1/2) -1/3))
(/.f64 (*.f64 (*.f64 (pow.f64 N -3) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27)) 1) (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (pow.f64 N -6)) (*.f64 1/9 (pow.f64 N -6))) 1) (*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) -1/3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 N (*.f64 (pow.f64 N -3) (+.f64 N -1/2))) 3) (pow.f64 (*.f64 (pow.f64 N -3) 1/3) 3)) 1) (+.f64 (*.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (pow.f64 N -6)) (-.f64 (*.f64 1/9 (pow.f64 N -6)) (*.f64 (*.f64 N (*.f64 (pow.f64 N -3) (+.f64 N -1/2))) (*.f64 (pow.f64 N -3) 1/3)))))
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(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27) 1) (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27) (sqrt.f64 (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3))))) (sqrt.f64 (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27) (*.f64 (cbrt.f64 (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3)))) (cbrt.f64 (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3)))))) (cbrt.f64 (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3)))))
(pow.f64 (fma.f64 N (+.f64 N -1/2) 1/3) 1)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N -1/2) 1/3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N -1/2) 1/3)) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N -1/2) 1/3) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9) (neg.f64 (fma.f64 N (+.f64 N -1/2) -1/3))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27) (neg.f64 (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3))))))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N -1/2) 1/3) 2))
(log.f64 (exp.f64 (fma.f64 N (+.f64 N -1/2) 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N (+.f64 N -1/2) 1/3))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N -1/2) 1/3) 3))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 N -1/2) 1/3)))
(exp.f64 (log.f64 (fma.f64 N (+.f64 N -1/2) 1/3)))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 N -1/2) 1/3)))
(fma.f64 N (+.f64 N -1/2) 1/3)
(fma.f64 (+.f64 N -1/2) N 1/3)
(fma.f64 1 (*.f64 N (+.f64 N -1/2)) 1/3)
(fma.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) (sqrt.f64 (*.f64 N (+.f64 N -1/2))) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) 2) (cbrt.f64 (*.f64 N (+.f64 N -1/2))) 1/3)
(+.f64 (pow.f64 N 2) (*.f64 N -1/2))
(+.f64 (*.f64 N -1/2) (pow.f64 N 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 N (+.f64 N -1/2)))) 1)
(/.f64 N (/.f64 1 (+.f64 N -1/2)))
(/.f64 (-.f64 1/4 (pow.f64 N 2)) (/.f64 (-.f64 -1/2 N) N))
(/.f64 (+.f64 -1/8 (pow.f64 N 3)) (/.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2))) N))
(/.f64 (*.f64 N (-.f64 1/4 (pow.f64 N 2))) (-.f64 -1/2 N))
(/.f64 (*.f64 N (+.f64 -1/8 (pow.f64 N 3))) (+.f64 1/4 (*.f64 N (-.f64 N -1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 N (pow.f64 N 3))) (*.f64 N (-.f64 -1/2 N)))
(/.f64 (+.f64 (pow.f64 (*.f64 N -1/2) 3) (pow.f64 (pow.f64 N 2) 3)) (+.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 (pow.f64 N 2) (*.f64 N (-.f64 N -1/2)))))
(/.f64 (*.f64 N (-.f64 (pow.f64 N 2) 1/4)) (-.f64 N -1/2))
(/.f64 (*.f64 N (neg.f64 (-.f64 1/4 (pow.f64 N 2)))) (neg.f64 (-.f64 -1/2 N)))
(/.f64 (*.f64 N (+.f64 1/8 (neg.f64 (pow.f64 N 3)))) (neg.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))))
(/.f64 (*.f64 1 (*.f64 N (-.f64 1/4 (pow.f64 N 2)))) (-.f64 -1/2 N))
(/.f64 (*.f64 1 (*.f64 N (+.f64 -1/8 (pow.f64 N 3)))) (+.f64 1/4 (*.f64 N (-.f64 N -1/2))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 N (pow.f64 N 3)))) (*.f64 N (-.f64 -1/2 N)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 N -1/2) 3) (pow.f64 (pow.f64 N 2) 3))) (+.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 (pow.f64 N 2) (*.f64 N (-.f64 N -1/2)))))
(/.f64 (*.f64 (*.f64 N (sqrt.f64 (+.f64 N -1/2))) (sqrt.f64 (-.f64 1/4 (pow.f64 N 2)))) (sqrt.f64 (-.f64 -1/2 N)))
(/.f64 (*.f64 (*.f64 N (sqrt.f64 (+.f64 N -1/2))) (sqrt.f64 (+.f64 -1/8 (pow.f64 N 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))))
(/.f64 (*.f64 (*.f64 N (cbrt.f64 (pow.f64 (+.f64 N -1/2) 2))) (cbrt.f64 (-.f64 1/4 (pow.f64 N 2)))) (cbrt.f64 (-.f64 -1/2 N)))
(/.f64 (*.f64 (*.f64 N (cbrt.f64 (pow.f64 (+.f64 N -1/2) 2))) (cbrt.f64 (+.f64 -1/8 (pow.f64 N 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 N 2) 1/4) N) (-.f64 N -1/2))
(/.f64 (*.f64 (neg.f64 (-.f64 1/4 (pow.f64 N 2))) N) (neg.f64 (-.f64 -1/2 N)))
(/.f64 (*.f64 (+.f64 1/8 (neg.f64 (pow.f64 N 3))) N) (neg.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))))
(/.f64 (*.f64 (*.f64 N (-.f64 1/4 (pow.f64 N 2))) 1) (-.f64 -1/2 N))
(/.f64 (*.f64 (*.f64 N (+.f64 -1/8 (pow.f64 N 3))) 1) (+.f64 1/4 (*.f64 N (-.f64 N -1/2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 N (pow.f64 N 3))) 1) (*.f64 N (-.f64 -1/2 N)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 N -1/2) 3) (pow.f64 (pow.f64 N 2) 3)) 1) (+.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 (pow.f64 N 2) (*.f64 N (-.f64 N -1/2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 N 2))) (*.f64 N (sqrt.f64 (+.f64 N -1/2)))) (sqrt.f64 (-.f64 -1/2 N)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/8 (pow.f64 N 3))) (*.f64 N (sqrt.f64 (+.f64 N -1/2)))) (sqrt.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))))
(/.f64 (/.f64 (*.f64 N (-.f64 1/4 (pow.f64 N 2))) 1) (-.f64 -1/2 N))
(/.f64 (/.f64 (*.f64 N (-.f64 1/4 (pow.f64 N 2))) (sqrt.f64 (-.f64 -1/2 N))) (sqrt.f64 (-.f64 -1/2 N)))
(/.f64 (/.f64 (*.f64 N (-.f64 1/4 (pow.f64 N 2))) (*.f64 (cbrt.f64 (-.f64 -1/2 N)) (cbrt.f64 (-.f64 -1/2 N)))) (cbrt.f64 (-.f64 -1/2 N)))
(/.f64 (/.f64 (*.f64 N (+.f64 -1/8 (pow.f64 N 3))) 1) (+.f64 1/4 (*.f64 N (-.f64 N -1/2))))
(/.f64 (/.f64 (*.f64 N (+.f64 -1/8 (pow.f64 N 3))) (sqrt.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2))))) (sqrt.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))))
(/.f64 (/.f64 (*.f64 N (+.f64 -1/8 (pow.f64 N 3))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))) (cbrt.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))))) (cbrt.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))))
(pow.f64 (*.f64 N (+.f64 N -1/2)) 1)
(pow.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) 3)
(sqrt.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 N) (+.f64 N -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (+.f64 N -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 N (+.f64 N -1/2))))
(exp.f64 (log.f64 (*.f64 N (+.f64 N -1/2))))
(log1p.f64 (expm1.f64 (*.f64 N (+.f64 N -1/2))))
(fma.f64 N -1/2 (pow.f64 N 2))
(fma.f64 -1/2 N (pow.f64 N 2))

simplify142.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1358×associate-/r/
786×associate-/l*
678×associate-+l+
646×associate-*r*
628×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049213380
1134412268
2572512268
Stop Event
1×node limit
Counts
216 → 287
Calls
Call 1
Inputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
1/3
(+.f64 1/3 (*.f64 -1/2 N))
(+.f64 1/3 (+.f64 (*.f64 -1/2 N) (pow.f64 N 2)))
(+.f64 1/3 (+.f64 (*.f64 -1/2 N) (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 1/3 (+.f64 (*.f64 -1/2 N) (pow.f64 N 2)))
(+.f64 1/3 (+.f64 (*.f64 -1/2 N) (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 1/3 (+.f64 (*.f64 -1/2 N) (pow.f64 N 2)))
(+.f64 1/3 (+.f64 (*.f64 -1/2 N) (pow.f64 N 2)))
(*.f64 -1/2 N)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 N (*.f64 (pow.f64 N -3) (+.f64 N -1/2))) (*.f64 (pow.f64 N -3) 1/3))
(+.f64 (*.f64 (pow.f64 N -3) 1/3) (*.f64 N (*.f64 (pow.f64 N -3) (+.f64 N -1/2))))
(+.f64 (*.f64 (pow.f64 N -3) (*.f64 N -1/2)) (+.f64 (*.f64 (pow.f64 N -3) (pow.f64 N 2)) (*.f64 (pow.f64 N -3) 1/3)))
(+.f64 (*.f64 (pow.f64 N -3) (*.f64 N -1/2)) (*.f64 (pow.f64 N -3) (+.f64 1/3 (pow.f64 N 2))))
(+.f64 (*.f64 (pow.f64 N -3) (*.f64 N -1/2)) (*.f64 (+.f64 1/3 (pow.f64 N 2)) (pow.f64 N -3)))
(+.f64 (+.f64 (*.f64 (pow.f64 N -3) 1/3) (*.f64 (pow.f64 N -3) (*.f64 N -1/2))) (*.f64 (pow.f64 N -3) (pow.f64 N 2)))
(+.f64 (*.f64 (pow.f64 N -3) (+.f64 1/3 (*.f64 N -1/2))) (*.f64 (pow.f64 N -3) (pow.f64 N 2)))
(+.f64 (*.f64 (+.f64 1/3 (*.f64 N -1/2)) (pow.f64 N -3)) (*.f64 (pow.f64 N -3) (pow.f64 N 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) 1/3)))) 1)
(/.f64 (pow.f64 N -3) (/.f64 1 (fma.f64 N (+.f64 N -1/2) 1/3)))
(/.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9) (/.f64 (fma.f64 N (+.f64 N -1/2) -1/3) (pow.f64 N -3)))
(/.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27) (/.f64 (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3))) (pow.f64 N -3)))
(/.f64 (*.f64 (pow.f64 N -3) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9)) (fma.f64 N (+.f64 N -1/2) -1/3))
(/.f64 (*.f64 (pow.f64 N -3) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27)) (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (pow.f64 N -6)) (*.f64 1/9 (pow.f64 N -6))) (*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) -1/3)))
(/.f64 (+.f64 (pow.f64 (*.f64 N (*.f64 (pow.f64 N -3) (+.f64 N -1/2))) 3) (pow.f64 (*.f64 (pow.f64 N -3) 1/3) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (pow.f64 N -6)) (-.f64 (*.f64 1/9 (pow.f64 N -6)) (*.f64 (*.f64 N (*.f64 (pow.f64 N -3) (+.f64 N -1/2))) (*.f64 (pow.f64 N -3) 1/3)))))
(/.f64 (*.f64 (pow.f64 N -3) (-.f64 1/9 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2))) (-.f64 1/3 (*.f64 N (+.f64 N -1/2))))
(/.f64 (*.f64 (pow.f64 N -3) (+.f64 (neg.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2)) 1/9)) (neg.f64 (fma.f64 N (+.f64 N -1/2) -1/3)))
(/.f64 (*.f64 (pow.f64 N -3) (+.f64 (neg.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3)) -1/27)) (neg.f64 (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3)))))
(/.f64 (*.f64 1 (*.f64 (pow.f64 N -3) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9))) (fma.f64 N (+.f64 N -1/2) -1/3))
(/.f64 (*.f64 1 (*.f64 (pow.f64 N -3) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27))) (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (pow.f64 N -6)) (*.f64 1/9 (pow.f64 N -6)))) (*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) -1/3)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 N (*.f64 (pow.f64 N -3) (+.f64 N -1/2))) 3) (pow.f64 (*.f64 (pow.f64 N -3) 1/3) 3))) (+.f64 (*.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (pow.f64 N -6)) (-.f64 (*.f64 1/9 (pow.f64 N -6)) (*.f64 (*.f64 N (*.f64 (pow.f64 N -3) (+.f64 N -1/2))) (*.f64 (pow.f64 N -3) 1/3)))))
(/.f64 (*.f64 (*.f64 (pow.f64 N -3) (sqrt.f64 (fma.f64 N (+.f64 N -1/2) 1/3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9))) (sqrt.f64 (fma.f64 N (+.f64 N -1/2) -1/3)))
(/.f64 (*.f64 (*.f64 (pow.f64 N -3) (sqrt.f64 (fma.f64 N (+.f64 N -1/2) 1/3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27))) (sqrt.f64 (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3)))))
(/.f64 (*.f64 (*.f64 (pow.f64 N -3) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N -1/2) 1/3) 2))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9))) (cbrt.f64 (fma.f64 N (+.f64 N -1/2) -1/3)))
(/.f64 (*.f64 (*.f64 (pow.f64 N -3) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N -1/2) 1/3) 2))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27))) (cbrt.f64 (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3)))))
(/.f64 (*.f64 (-.f64 1/9 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2)) (pow.f64 N -3)) (-.f64 1/3 (*.f64 N (+.f64 N -1/2))))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2)) 1/9) (pow.f64 N -3)) (neg.f64 (fma.f64 N (+.f64 N -1/2) -1/3)))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3)) -1/27) (pow.f64 N -3)) (neg.f64 (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3)))))
(/.f64 (*.f64 (*.f64 (pow.f64 N -3) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9)) 1) (fma.f64 N (+.f64 N -1/2) -1/3))
(/.f64 (*.f64 (*.f64 (pow.f64 N -3) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27)) 1) (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (pow.f64 N -6)) (*.f64 1/9 (pow.f64 N -6))) 1) (*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) -1/3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 N (*.f64 (pow.f64 N -3) (+.f64 N -1/2))) 3) (pow.f64 (*.f64 (pow.f64 N -3) 1/3) 3)) 1) (+.f64 (*.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (pow.f64 N -6)) (-.f64 (*.f64 1/9 (pow.f64 N -6)) (*.f64 (*.f64 N (*.f64 (pow.f64 N -3) (+.f64 N -1/2))) (*.f64 (pow.f64 N -3) 1/3)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9)) (*.f64 (pow.f64 N -3) (sqrt.f64 (fma.f64 N (+.f64 N -1/2) 1/3)))) (sqrt.f64 (fma.f64 N (+.f64 N -1/2) -1/3)))
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(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27) (*.f64 (cbrt.f64 (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3)))) (cbrt.f64 (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3)))))) (cbrt.f64 (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3)))))
(pow.f64 (fma.f64 N (+.f64 N -1/2) 1/3) 1)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N -1/2) 1/3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N -1/2) 1/3)) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N -1/2) 1/3) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9) (neg.f64 (fma.f64 N (+.f64 N -1/2) -1/3))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27) (neg.f64 (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3))))))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N -1/2) 1/3) 2))
(log.f64 (exp.f64 (fma.f64 N (+.f64 N -1/2) 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N (+.f64 N -1/2) 1/3))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N -1/2) 1/3) 3))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 N -1/2) 1/3)))
(exp.f64 (log.f64 (fma.f64 N (+.f64 N -1/2) 1/3)))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 N -1/2) 1/3)))
(fma.f64 N (+.f64 N -1/2) 1/3)
(fma.f64 (+.f64 N -1/2) N 1/3)
(fma.f64 1 (*.f64 N (+.f64 N -1/2)) 1/3)
(fma.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) (sqrt.f64 (*.f64 N (+.f64 N -1/2))) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) 2) (cbrt.f64 (*.f64 N (+.f64 N -1/2))) 1/3)
(+.f64 (pow.f64 N 2) (*.f64 N -1/2))
(+.f64 (*.f64 N -1/2) (pow.f64 N 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 N (+.f64 N -1/2)))) 1)
(/.f64 N (/.f64 1 (+.f64 N -1/2)))
(/.f64 (-.f64 1/4 (pow.f64 N 2)) (/.f64 (-.f64 -1/2 N) N))
(/.f64 (+.f64 -1/8 (pow.f64 N 3)) (/.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2))) N))
(/.f64 (*.f64 N (-.f64 1/4 (pow.f64 N 2))) (-.f64 -1/2 N))
(/.f64 (*.f64 N (+.f64 -1/8 (pow.f64 N 3))) (+.f64 1/4 (*.f64 N (-.f64 N -1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 N (pow.f64 N 3))) (*.f64 N (-.f64 -1/2 N)))
(/.f64 (+.f64 (pow.f64 (*.f64 N -1/2) 3) (pow.f64 (pow.f64 N 2) 3)) (+.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 (pow.f64 N 2) (*.f64 N (-.f64 N -1/2)))))
(/.f64 (*.f64 N (-.f64 (pow.f64 N 2) 1/4)) (-.f64 N -1/2))
(/.f64 (*.f64 N (neg.f64 (-.f64 1/4 (pow.f64 N 2)))) (neg.f64 (-.f64 -1/2 N)))
(/.f64 (*.f64 N (+.f64 1/8 (neg.f64 (pow.f64 N 3)))) (neg.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))))
(/.f64 (*.f64 1 (*.f64 N (-.f64 1/4 (pow.f64 N 2)))) (-.f64 -1/2 N))
(/.f64 (*.f64 1 (*.f64 N (+.f64 -1/8 (pow.f64 N 3)))) (+.f64 1/4 (*.f64 N (-.f64 N -1/2))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 N (pow.f64 N 3)))) (*.f64 N (-.f64 -1/2 N)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 N -1/2) 3) (pow.f64 (pow.f64 N 2) 3))) (+.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 (pow.f64 N 2) (*.f64 N (-.f64 N -1/2)))))
(/.f64 (*.f64 (*.f64 N (sqrt.f64 (+.f64 N -1/2))) (sqrt.f64 (-.f64 1/4 (pow.f64 N 2)))) (sqrt.f64 (-.f64 -1/2 N)))
(/.f64 (*.f64 (*.f64 N (sqrt.f64 (+.f64 N -1/2))) (sqrt.f64 (+.f64 -1/8 (pow.f64 N 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))))
(/.f64 (*.f64 (*.f64 N (cbrt.f64 (pow.f64 (+.f64 N -1/2) 2))) (cbrt.f64 (-.f64 1/4 (pow.f64 N 2)))) (cbrt.f64 (-.f64 -1/2 N)))
(/.f64 (*.f64 (*.f64 N (cbrt.f64 (pow.f64 (+.f64 N -1/2) 2))) (cbrt.f64 (+.f64 -1/8 (pow.f64 N 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 N 2) 1/4) N) (-.f64 N -1/2))
(/.f64 (*.f64 (neg.f64 (-.f64 1/4 (pow.f64 N 2))) N) (neg.f64 (-.f64 -1/2 N)))
(/.f64 (*.f64 (+.f64 1/8 (neg.f64 (pow.f64 N 3))) N) (neg.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))))
(/.f64 (*.f64 (*.f64 N (-.f64 1/4 (pow.f64 N 2))) 1) (-.f64 -1/2 N))
(/.f64 (*.f64 (*.f64 N (+.f64 -1/8 (pow.f64 N 3))) 1) (+.f64 1/4 (*.f64 N (-.f64 N -1/2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 N (pow.f64 N 3))) 1) (*.f64 N (-.f64 -1/2 N)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 N -1/2) 3) (pow.f64 (pow.f64 N 2) 3)) 1) (+.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 (pow.f64 N 2) (*.f64 N (-.f64 N -1/2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 N 2))) (*.f64 N (sqrt.f64 (+.f64 N -1/2)))) (sqrt.f64 (-.f64 -1/2 N)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/8 (pow.f64 N 3))) (*.f64 N (sqrt.f64 (+.f64 N -1/2)))) (sqrt.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))))
(/.f64 (/.f64 (*.f64 N (-.f64 1/4 (pow.f64 N 2))) 1) (-.f64 -1/2 N))
(/.f64 (/.f64 (*.f64 N (-.f64 1/4 (pow.f64 N 2))) (sqrt.f64 (-.f64 -1/2 N))) (sqrt.f64 (-.f64 -1/2 N)))
(/.f64 (/.f64 (*.f64 N (-.f64 1/4 (pow.f64 N 2))) (*.f64 (cbrt.f64 (-.f64 -1/2 N)) (cbrt.f64 (-.f64 -1/2 N)))) (cbrt.f64 (-.f64 -1/2 N)))
(/.f64 (/.f64 (*.f64 N (+.f64 -1/8 (pow.f64 N 3))) 1) (+.f64 1/4 (*.f64 N (-.f64 N -1/2))))
(/.f64 (/.f64 (*.f64 N (+.f64 -1/8 (pow.f64 N 3))) (sqrt.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2))))) (sqrt.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))))
(/.f64 (/.f64 (*.f64 N (+.f64 -1/8 (pow.f64 N 3))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))) (cbrt.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))))) (cbrt.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))))
(pow.f64 (*.f64 N (+.f64 N -1/2)) 1)
(pow.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) 3)
(sqrt.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 N) (+.f64 N -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (+.f64 N -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 N (+.f64 N -1/2))))
(exp.f64 (log.f64 (*.f64 N (+.f64 N -1/2))))
(log1p.f64 (expm1.f64 (*.f64 N (+.f64 N -1/2))))
(fma.f64 N -1/2 (pow.f64 N 2))
(fma.f64 -1/2 N (pow.f64 N 2))
Outputs
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2))))
1/3
(+.f64 1/3 (*.f64 -1/2 N))
(+.f64 1/3 (*.f64 N -1/2))
(fma.f64 N -1/2 1/3)
(+.f64 1/3 (+.f64 (*.f64 -1/2 N) (pow.f64 N 2)))
(fma.f64 N (+.f64 N -1/2) 1/3)
(+.f64 1/3 (+.f64 (*.f64 -1/2 N) (pow.f64 N 2)))
(fma.f64 N (+.f64 N -1/2) 1/3)
(pow.f64 N 2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(+.f64 1/3 (+.f64 (*.f64 -1/2 N) (pow.f64 N 2)))
(fma.f64 N (+.f64 N -1/2) 1/3)
(+.f64 1/3 (+.f64 (*.f64 -1/2 N) (pow.f64 N 2)))
(fma.f64 N (+.f64 N -1/2) 1/3)
(pow.f64 N 2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(+.f64 1/3 (+.f64 (*.f64 -1/2 N) (pow.f64 N 2)))
(fma.f64 N (+.f64 N -1/2) 1/3)
(+.f64 1/3 (+.f64 (*.f64 -1/2 N) (pow.f64 N 2)))
(fma.f64 N (+.f64 N -1/2) 1/3)
(*.f64 -1/2 N)
(*.f64 N -1/2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(pow.f64 N 2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(pow.f64 N 2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(+.f64 (*.f64 N (*.f64 (pow.f64 N -3) (+.f64 N -1/2))) (*.f64 (pow.f64 N -3) 1/3))
(fma.f64 (pow.f64 N -3) 1/3 (*.f64 (*.f64 N (pow.f64 N -3)) (+.f64 N -1/2)))
(*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) 1/3))
(+.f64 (*.f64 (pow.f64 N -3) 1/3) (*.f64 N (*.f64 (pow.f64 N -3) (+.f64 N -1/2))))
(fma.f64 (pow.f64 N -3) 1/3 (*.f64 (*.f64 N (pow.f64 N -3)) (+.f64 N -1/2)))
(*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) 1/3))
(+.f64 (*.f64 (pow.f64 N -3) (*.f64 N -1/2)) (+.f64 (*.f64 (pow.f64 N -3) (pow.f64 N 2)) (*.f64 (pow.f64 N -3) 1/3)))
(fma.f64 (pow.f64 N -3) 1/3 (*.f64 (*.f64 N (pow.f64 N -3)) (+.f64 N -1/2)))
(*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) 1/3))
(+.f64 (*.f64 (pow.f64 N -3) (*.f64 N -1/2)) (*.f64 (pow.f64 N -3) (+.f64 1/3 (pow.f64 N 2))))
(fma.f64 (pow.f64 N -3) 1/3 (*.f64 (*.f64 N (pow.f64 N -3)) (+.f64 N -1/2)))
(*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) 1/3))
(+.f64 (*.f64 (pow.f64 N -3) (*.f64 N -1/2)) (*.f64 (+.f64 1/3 (pow.f64 N 2)) (pow.f64 N -3)))
(fma.f64 (pow.f64 N -3) 1/3 (*.f64 (*.f64 N (pow.f64 N -3)) (+.f64 N -1/2)))
(*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) 1/3))
(+.f64 (+.f64 (*.f64 (pow.f64 N -3) 1/3) (*.f64 (pow.f64 N -3) (*.f64 N -1/2))) (*.f64 (pow.f64 N -3) (pow.f64 N 2)))
(fma.f64 (pow.f64 N -3) 1/3 (*.f64 (*.f64 N (pow.f64 N -3)) (+.f64 N -1/2)))
(*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) 1/3))
(+.f64 (*.f64 (pow.f64 N -3) (+.f64 1/3 (*.f64 N -1/2))) (*.f64 (pow.f64 N -3) (pow.f64 N 2)))
(fma.f64 (pow.f64 N -3) 1/3 (*.f64 (*.f64 N (pow.f64 N -3)) (+.f64 N -1/2)))
(*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) 1/3))
(+.f64 (*.f64 (+.f64 1/3 (*.f64 N -1/2)) (pow.f64 N -3)) (*.f64 (pow.f64 N -3) (pow.f64 N 2)))
(fma.f64 (pow.f64 N -3) 1/3 (*.f64 (*.f64 N (pow.f64 N -3)) (+.f64 N -1/2)))
(*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) 1/3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) 1/3)))) 1)
(fma.f64 (pow.f64 N -3) 1/3 (*.f64 (*.f64 N (pow.f64 N -3)) (+.f64 N -1/2)))
(*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) 1/3))
(/.f64 (pow.f64 N -3) (/.f64 1 (fma.f64 N (+.f64 N -1/2) 1/3)))
(fma.f64 (pow.f64 N -3) 1/3 (*.f64 (*.f64 N (pow.f64 N -3)) (+.f64 N -1/2)))
(*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) 1/3))
(/.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9) (/.f64 (fma.f64 N (+.f64 N -1/2) -1/3) (pow.f64 N -3)))
(*.f64 (/.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) -1/3)) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9))
(/.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27) (/.f64 (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3))) (pow.f64 N -3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27) (+.f64 1/9 (*.f64 N (*.f64 (+.f64 N -1/2) (fma.f64 N (+.f64 N -1/2) -1/3))))) (pow.f64 N -3))
(*.f64 (/.f64 (pow.f64 N -3) (fma.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3) 1/9)) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27))
(/.f64 (*.f64 (pow.f64 N -3) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9)) (fma.f64 N (+.f64 N -1/2) -1/3))
(/.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9) (/.f64 (fma.f64 N (+.f64 N -1/2) -1/3) (pow.f64 N -3)))
(*.f64 (/.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) -1/3)) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9))
(/.f64 (*.f64 (pow.f64 N -3) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27)) (+.f64 1/9 (*.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27) (+.f64 1/9 (*.f64 N (*.f64 (+.f64 N -1/2) (fma.f64 N (+.f64 N -1/2) -1/3))))) (pow.f64 N -3))
(*.f64 (/.f64 (pow.f64 N -3) (fma.f64 (*.f64 N (+.f64 N -1/2)) (fma.f64 N (+.f64 N -1/2) -1/3) 1/9)) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (pow.f64 N -6)) (*.f64 1/9 (pow.f64 N -6))) (*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) -1/3)))
(/.f64 (*.f64 (pow.f64 N -6) (-.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) 1/9)) (*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) -1/3)))
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(/.f64 (*.f64 (*.f64 N (+.f64 -1/8 (pow.f64 N 3))) 1) (+.f64 1/4 (*.f64 N (-.f64 N -1/2))))
(*.f64 (/.f64 (+.f64 (pow.f64 N 3) -1/8) (+.f64 1/4 (*.f64 N (+.f64 N 1/2)))) N)
(/.f64 (fma.f64 N -1/8 (pow.f64 N 4)) (fma.f64 N (+.f64 N 1/2) 1/4))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 N (pow.f64 N 3))) 1) (*.f64 N (-.f64 -1/2 N)))
(/.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 N (pow.f64 N 3))) (*.f64 N (-.f64 -1/2 N)))
(/.f64 (-.f64 (*.f64 (pow.f64 N 2) 1/4) (pow.f64 N 4)) (*.f64 N (-.f64 -1/2 N)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 N -1/2) 3) (pow.f64 (pow.f64 N 2) 3)) 1) (+.f64 (*.f64 (pow.f64 N 2) 1/4) (*.f64 (pow.f64 N 2) (*.f64 N (-.f64 N -1/2)))))
(/.f64 (+.f64 (*.f64 (pow.f64 N 3) -1/8) (pow.f64 (pow.f64 N 2) 3)) (*.f64 (pow.f64 N 2) (+.f64 1/4 (*.f64 N (+.f64 N 1/2)))))
(/.f64 (fma.f64 (pow.f64 N 3) -1/8 (pow.f64 (pow.f64 N 2) 3)) (*.f64 (pow.f64 N 2) (fma.f64 N (+.f64 N 1/2) 1/4)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 N 2))) (*.f64 N (sqrt.f64 (+.f64 N -1/2)))) (sqrt.f64 (-.f64 -1/2 N)))
(/.f64 (*.f64 N (sqrt.f64 (+.f64 N -1/2))) (/.f64 (sqrt.f64 (-.f64 -1/2 N)) (sqrt.f64 (-.f64 1/4 (pow.f64 N 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 N 2))) (/.f64 (sqrt.f64 (-.f64 -1/2 N)) N)) (sqrt.f64 (+.f64 N -1/2)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/8 (pow.f64 N 3))) (*.f64 N (sqrt.f64 (+.f64 N -1/2)))) (sqrt.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))))
(/.f64 (*.f64 N (sqrt.f64 (+.f64 N -1/2))) (/.f64 (sqrt.f64 (+.f64 1/4 (*.f64 N (+.f64 N 1/2)))) (sqrt.f64 (+.f64 (pow.f64 N 3) -1/8))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 N 3) -1/8)) (sqrt.f64 (fma.f64 N (+.f64 N 1/2) 1/4))) (*.f64 N (sqrt.f64 (+.f64 N -1/2))))
(/.f64 (/.f64 (*.f64 N (-.f64 1/4 (pow.f64 N 2))) 1) (-.f64 -1/2 N))
(*.f64 (/.f64 (-.f64 1/4 (pow.f64 N 2)) (-.f64 -1/2 N)) N)
(/.f64 (-.f64 1/4 (pow.f64 N 2)) (+.f64 (/.f64 -1/2 N) -1))
(/.f64 (-.f64 1/4 (pow.f64 N 2)) (+.f64 -1 (/.f64 -1/2 N)))
(/.f64 (/.f64 (*.f64 N (-.f64 1/4 (pow.f64 N 2))) (sqrt.f64 (-.f64 -1/2 N))) (sqrt.f64 (-.f64 -1/2 N)))
(*.f64 (/.f64 (-.f64 1/4 (pow.f64 N 2)) (-.f64 -1/2 N)) N)
(/.f64 (-.f64 1/4 (pow.f64 N 2)) (+.f64 (/.f64 -1/2 N) -1))
(/.f64 (-.f64 1/4 (pow.f64 N 2)) (+.f64 -1 (/.f64 -1/2 N)))
(/.f64 (/.f64 (*.f64 N (-.f64 1/4 (pow.f64 N 2))) (*.f64 (cbrt.f64 (-.f64 -1/2 N)) (cbrt.f64 (-.f64 -1/2 N)))) (cbrt.f64 (-.f64 -1/2 N)))
(*.f64 (/.f64 (-.f64 1/4 (pow.f64 N 2)) (-.f64 -1/2 N)) N)
(/.f64 (-.f64 1/4 (pow.f64 N 2)) (+.f64 (/.f64 -1/2 N) -1))
(/.f64 (-.f64 1/4 (pow.f64 N 2)) (+.f64 -1 (/.f64 -1/2 N)))
(/.f64 (/.f64 (*.f64 N (+.f64 -1/8 (pow.f64 N 3))) 1) (+.f64 1/4 (*.f64 N (-.f64 N -1/2))))
(*.f64 (/.f64 (+.f64 (pow.f64 N 3) -1/8) (+.f64 1/4 (*.f64 N (+.f64 N 1/2)))) N)
(/.f64 (fma.f64 N -1/8 (pow.f64 N 4)) (fma.f64 N (+.f64 N 1/2) 1/4))
(/.f64 (/.f64 (*.f64 N (+.f64 -1/8 (pow.f64 N 3))) (sqrt.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2))))) (sqrt.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 N 3) -1/8) (+.f64 1/4 (*.f64 N (+.f64 N 1/2)))) N)
(/.f64 (fma.f64 N -1/8 (pow.f64 N 4)) (fma.f64 N (+.f64 N 1/2) 1/4))
(/.f64 (/.f64 (*.f64 N (+.f64 -1/8 (pow.f64 N 3))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))) (cbrt.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))))) (cbrt.f64 (+.f64 1/4 (*.f64 N (-.f64 N -1/2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 N 3) -1/8) (+.f64 1/4 (*.f64 N (+.f64 N 1/2)))) N)
(/.f64 (fma.f64 N -1/8 (pow.f64 N 4)) (fma.f64 N (+.f64 N 1/2) 1/4))
(pow.f64 (*.f64 N (+.f64 N -1/2)) 1)
(*.f64 N (+.f64 N -1/2))
(pow.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/3)
(*.f64 N (+.f64 N -1/2))
(pow.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) 2)
(*.f64 N (+.f64 N -1/2))
(pow.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) 3)
(*.f64 N (+.f64 N -1/2))
(sqrt.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2))
(fabs.f64 (*.f64 N (+.f64 N -1/2)))
(log.f64 (pow.f64 (exp.f64 N) (+.f64 N -1/2)))
(*.f64 N (+.f64 N -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (+.f64 N -1/2)))))
(*.f64 N (+.f64 N -1/2))
(cbrt.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3))
(*.f64 N (+.f64 N -1/2))
(expm1.f64 (log1p.f64 (*.f64 N (+.f64 N -1/2))))
(*.f64 N (+.f64 N -1/2))
(exp.f64 (log.f64 (*.f64 N (+.f64 N -1/2))))
(*.f64 N (+.f64 N -1/2))
(log1p.f64 (expm1.f64 (*.f64 N (+.f64 N -1/2))))
(*.f64 N (+.f64 N -1/2))
(fma.f64 N -1/2 (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))
(fma.f64 -1/2 N (pow.f64 N 2))
(*.f64 N (+.f64 N -1/2))

eval165.0ms (2.2%)

Compiler

Compiled 7547 to 5821 computations (22.9% saved)

prune44.0ms (0.6%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New2861287
Fresh011
Picked011
Done156
Total2878295
Accuracy
100.0%
Counts
295 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓46.7%
(/.f64 1 N)
✓4.9%
(/.f64 1/3 (pow.f64 N 3))
✓57.2%
(-.f64 N (log.f64 N))
9.4%
(*.f64 (pow.f64 N -3) (/.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9) (fma.f64 N (+.f64 N -1/2) -1/3)))
✓13.5%
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 -1/2 N)) 1/3))
✓56.2%
(neg.f64 (log.f64 N))
✓59.0%
(log.f64 (/.f64 (+.f64 N 1) N))
4.6%
N
Compiler

Compiled 178 to 128 computations (28.1% saved)

regimes74.0ms (1%)

Counts
13 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(/.f64 1/3 (pow.f64 N 3))
(log.f64 (/.f64 (+.f64 N 1) N))
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 -1/2 N)) 1/3))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 N (/.f64 (pow.f64 N 3) (-.f64 N 1/2))))
(*.f64 (pow.f64 N -3) (/.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9) (fma.f64 N (+.f64 N -1/2) -1/3)))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
Outputs
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(log.f64 (/.f64 (+.f64 N 1) N))
Calls

2 calls:

61.0ms
N
7.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
100.0%2N
100.0%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 127 to 90 computations (29.1% saved)

regimes29.0ms (0.4%)

Counts
12 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(/.f64 1/3 (pow.f64 N 3))
(log.f64 (/.f64 (+.f64 N 1) N))
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 -1/2 N)) 1/3))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 N (/.f64 (pow.f64 N 3) (-.f64 N 1/2))))
(*.f64 (pow.f64 N -3) (/.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9) (fma.f64 N (+.f64 N -1/2) -1/3)))
Outputs
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(log.f64 (/.f64 (+.f64 N 1) N))
Calls

2 calls:

15.0ms
N
7.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
100.0%2N
100.0%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 106 to 73 computations (31.1% saved)

regimes20.0ms (0.3%)

Counts
9 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(/.f64 1/3 (pow.f64 N 3))
(log.f64 (/.f64 (+.f64 N 1) N))
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 -1/2 N)) 1/3))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Outputs
(/.f64 1 N)
(log.f64 (/.f64 (+.f64 N 1) N))
Calls

2 calls:

12.0ms
N
6.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
99.9%2N
99.9%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 56 to 35 computations (37.5% saved)

regimes11.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(/.f64 1/3 (pow.f64 N 3))
Outputs
(-.f64 N (log.f64 N))
(/.f64 1 N)
Calls

1 calls:

9.0ms
N
Results
AccuracySegmentsBranch
99.2%2N
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes28.0ms (0.4%)

Counts
3 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(neg.f64 (log.f64 N))
Outputs
(neg.f64 (log.f64 N))
(/.f64 1 N)
Calls

1 calls:

27.0ms
N
Results
AccuracySegmentsBranch
98.8%2N
Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
N
(/.f64 1 N)
Outputs
(/.f64 1 N)
Calls

1 calls:

3.0ms
N
Results
AccuracySegmentsBranch
46.7%1N
Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
N
Outputs
N
Calls

1 calls:

4.0ms
N
Results
AccuracySegmentsBranch
4.6%1N
Compiler

Compiled 4 to 2 computations (50% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0175999436867755e-5
0.8859251469696744
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0175999436867755e-5
0.8859251469696744
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.0175999436867755e-5
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch20.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.701642593183983
98269.94568176506
Results
18.0ms144×body256valid
Compiler

Compiled 111 to 81 computations (27% saved)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
0.0017112281976437989
0.701642593183983
Results
16.0ms128×body256valid
Compiler

Compiled 92 to 73 computations (20.7% saved)

simplify12.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
28×+-commutative
20×sub-neg
12×neg-mul-1
12×*-commutative
12×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048396
162396
277396
390396
498396
5102396
6103396
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0) (/.f64 1 N) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 1) (-.f64 N (log.f64 N)) (/.f64 1 N))
(if (<=.f64 N 607985949695017/1125899906842624) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)
N
Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0) (/.f64 1 N) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 1) (-.f64 N (log.f64 N)) (/.f64 1 N))
(if (<=.f64 N 607985949695017/1125899906842624) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)
N
Compiler

Compiled 119 to 90 computations (24.4% saved)

soundness1.2s (16.1%)

Rules
1882×fma-def
1198×associate-*l*
1108×distribute-lft-out--
978×+-commutative
968×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017128
130104
262100
3121100
4295100
5817100
6131396
7199696
8280796
9422196
10447096
11450096
12452496
13452496
14657096
15724496
16759696
17759696
052814295
1163313709
2769013709
0921
19221
2117321
052814295
1163313709
2769013709
052814295
1163313709
2769013709
052814295
1163313709
2769013709
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 428 to 330 computations (22.9% saved)

end0.0ms (0%)

preprocess81.0ms (1.1%)

Compiler

Compiled 242 to 172 computations (28.9% saved)

Profiling

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