2log (problem 3.3.6)

Time bar (total: 11.6s)

analyze2.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
66.7%50%25%0%0%25%0%3
80%50%12.5%0%0%37.5%0%4
88.9%50%6.2%0%0%43.7%0%5
94.1%50%3.1%0%0%46.9%0%6
97%50%1.6%0%0%48.4%0%7
98.5%50%0.8%0%0%49.2%0%8
99.2%50%0.4%0%0%49.6%0%9
99.6%50%0.2%0%0%49.8%0%10
99.8%50%0.1%0%0%49.9%0%11
99.9%50%0%0%0%49.9%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.5s (13.2%)

Results
697.0ms4982×body256valid
541.0ms2023×body1024valid
171.0ms980×body512valid
109.0ms271×body2048valid
1.0ms7×body256invalid
Bogosity

preprocess473.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
3682×fma-def
564×distribute-lft-out--
522×+-commutative
453×associate-+r+
398×associate-+r-
Problems
128×(log.f64 (+.f64 N 1))
128×(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01689
13071
24871
38071
414771
524971
653469
7111369
8201969
9334769
10370769
11373869
12376269
13376269
14585269
15652869
16688069
17688069
18740069
19758269
20772369
21777969
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)))
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))
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
▶53.8%
(-.f64 (log1p.f64 N) (log.f64 N))
▶53.8%
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize40.0ms (0.3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓53.8%
(-.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
1.0ms
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))

rewrite181.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
599×associate-*l*
351×*-un-lft-identity
312×frac-times
207×*-commutative
201×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
19221
2117621
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 1 (+.f64 (/.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)))

simplify359.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
433×associate-+r-
417×associate-*r*
403×associate-/l*
318×fma-def
299×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052714283
1163413709
2768913709
Stop Event
1×node limit
Counts
183 → 267
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 1 (+.f64 (/.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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.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 (+.f64 (log1p.f64 N) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))) (-.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)) (+.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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(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 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))
(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))

eval106.0ms (0.9%)

Compiler

Compiled 7938 to 2958 computations (62.7% saved)

prune46.0ms (0.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2598267
Fresh000
Picked101
Done000
Total2608268
Accuracy
100.0%
Counts
268 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.0%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶53.0%
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (exp.f64 (*.f64 2 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))))
▶51.8%
(/.f64 1 N)
49.9%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
▶51.7%
(-.f64 N (log.f64 N))
▶50.6%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
50.5%
(neg.f64 (log.f64 N))
▶53.9%
(log.f64 (/.f64 (+.f64 N 1) N))
53.0%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶53.0%
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (exp.f64 (*.f64 2 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))))
▶51.8%
(/.f64 1 N)
49.9%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
▶51.7%
(-.f64 N (log.f64 N))
▶50.6%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
50.5%
(neg.f64 (log.f64 N))
▶53.9%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 356 to 232 computations (34.8% saved)

localize336.0ms (2.9%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
✓99.2%
(exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
✓98.7%
(exp.f64 (*.f64 2 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
✓53.9%
(+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
53.8%
(-.f64 (log1p.f64 N) (log.f64 N))
✓100.0%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓99.6%
(/.f64 1/2 (pow.f64 N 2))
✓99.5%
(/.f64 1/3 (pow.f64 N 3))
✓79.1%
(+.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)
✓53.9%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 210 to 95 computations (54.8% saved)

series21.0ms (0.2%)

Counts
10 → 96
Calls

30 calls:

TimeVariablePointExpression
4.0ms
N
@0
(-.f64 N (log.f64 N))
3.0ms
N
@0
(+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
3.0ms
N
@-inf
(-.f64 N (log.f64 N))
1.0ms
N
@inf
(/.f64 1/3 (pow.f64 N 3))
1.0ms
N
@0
(exp.f64 (*.f64 2 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))

rewrite334.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
295×+-commutative
270×associate-+l+
225×pow1
218×associate-+r+
216×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032277
1533267
27243267
Stop Event
1×node limit
Counts
10 → 484
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)))
(+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(exp.f64 (*.f64 2 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (log1p.f64 (-.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)) 1))
(+.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 (*.f64 (neg.f64 (log.f64 N)) 1) (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 (*.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 (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 (log1p.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 (log1p.f64 N) (log.f64 N)) 0)
(+.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 (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 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (*.f64 (neg.f64 (log.f64 N)) 1) (log1p.f64 N))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 N -2))) (+.f64 (log.f64 (cbrt.f64 (/.f64 1 N))) (log1p.f64 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))) (*.f64 (neg.f64 (log.f64 N)) 1)))
(+.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 (+.f64 N 1) N)) 2)) (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (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 (pow.f64 N -1/2)) (+.f64 (log.f64 (pow.f64 N -1/2)) (log1p.f64 N)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N))))
(+.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))) (*.f64 (neg.f64 (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) (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 (neg.f64 (log.f64 N)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2))) (log.f64 (cbrt.f64 (+.f64 N 1))))
(+.f64 (+.f64 (neg.f64 (log.f64 N)) (log.f64 (sqrt.f64 (+.f64 N 1)))) (log.f64 (sqrt.f64 (+.f64 N 1))))
(+.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 (log1p.f64 N) (log.f64 N))
(-.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) (/.f64 (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 (log.f64 (+.f64 -1 (neg.f64 N))) (log.f64 (neg.f64 N)))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.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 (log.f64 N) (log1p.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 (log.f64 N) (log1p.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 (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 1 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (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 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
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(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(+.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 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (+.f64 1 (-.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 1 (-.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 (neg.f64 (log.f64 N)) (+.f64 1 (log1p.f64 N)))
(+.f64 0 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (+.f64 1 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(+.f64 (+.f64 1 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 1))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) 1))
(+.f64 (+.f64 1 (neg.f64 (log.f64 N))) (log1p.f64 N))
(+.f64 (+.f64 1 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (+.f64 1 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (+.f64 (+.f64 1 (log1p.f64 N)) 0) (neg.f64 (log.f64 N)))
(+.f64 (+.f64 (+.f64 1 (log1p.f64 N)) (log.f64 (cbrt.f64 (pow.f64 N -2)))) (log.f64 (cbrt.f64 (/.f64 1 N))))
(+.f64 (+.f64 (+.f64 1 (log1p.f64 N)) (log.f64 (pow.f64 N -1/2))) (log.f64 (pow.f64 N -1/2)))
(-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(*.f64 1 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(*.f64 (sqrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1/2)
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (exp.f64 2) (/.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 1) (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(fabs.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))
(log.f64 (exp.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))))
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3))
(expm1.f64 (log.f64 (+.f64 2 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))

simplify263.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
650×associate-*r*
625×+-commutative
610×associate-*l*
558×associate-+r+
402×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0119832131
1316831592
Stop Event
1×node limit
Counts
580 → 784
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 (pow.f64 (-.f64 1 (log.f64 N)) 3) 1)
(-.f64 (+.f64 (*.f64 N (+.f64 (*.f64 (-.f64 1 (log.f64 N)) (-.f64 2 (*.f64 2 (log.f64 N)))) (pow.f64 (-.f64 1 (log.f64 N)) 2))) (pow.f64 (-.f64 1 (log.f64 N)) 3)) 1)
(-.f64 (+.f64 (*.f64 N (+.f64 (*.f64 (-.f64 1 (log.f64 N)) (-.f64 2 (*.f64 2 (log.f64 N)))) (pow.f64 (-.f64 1 (log.f64 N)) 2))) (+.f64 (*.f64 (pow.f64 N 2) (-.f64 (+.f64 2 (+.f64 (*.f64 (+.f64 1 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (+.f64 (/.f64 1 (-.f64 1 (log.f64 N))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (-.f64 1 (log.f64 N))) (*.f64 (+.f64 (*.f64 -1/2 (+.f64 (/.f64 1 (-.f64 1 (log.f64 N))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (pow.f64 (-.f64 1 (log.f64 N)) 3)))) (*.f64 2 (log.f64 N)))) (pow.f64 (-.f64 1 (log.f64 N)) 3))) 1)
(-.f64 (+.f64 (*.f64 N (+.f64 (*.f64 (-.f64 1 (log.f64 N)) (-.f64 2 (*.f64 2 (log.f64 N)))) (pow.f64 (-.f64 1 (log.f64 N)) 2))) (+.f64 (*.f64 (pow.f64 N 2) (-.f64 (+.f64 2 (+.f64 (*.f64 (+.f64 1 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (+.f64 (/.f64 1 (-.f64 1 (log.f64 N))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (-.f64 1 (log.f64 N))) (*.f64 (+.f64 (*.f64 -1/2 (+.f64 (/.f64 1 (-.f64 1 (log.f64 N))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (pow.f64 (-.f64 1 (log.f64 N)) 3)))) (*.f64 2 (log.f64 N)))) (+.f64 (*.f64 (pow.f64 N 3) (+.f64 1 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (+.f64 (/.f64 1 (-.f64 1 (log.f64 N))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (pow.f64 (-.f64 1 (log.f64 N)) 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (+.f64 (/.f64 1 (-.f64 1 (log.f64 N))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (*.f64 (-.f64 1 (log.f64 N)) (-.f64 2 (*.f64 2 (log.f64 N))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (log.f64 N))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2))) (-.f64 1 (log.f64 N)))) (+.f64 (*.f64 1/6 (+.f64 (*.f64 2 (/.f64 1 (-.f64 1 (log.f64 N)))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2))) (*.f64 2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 3)))))) (*.f64 1/6 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 3))))) (pow.f64 (-.f64 1 (log.f64 N)) 3)) (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (+.f64 (/.f64 1 (-.f64 1 (log.f64 N))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (-.f64 1 (log.f64 N)))) (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (log.f64 N))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2))) (-.f64 1 (log.f64 N)))) (+.f64 (*.f64 1/6 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 3))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2))) (*.f64 2 (/.f64 1 (-.f64 1 (log.f64 N))))))) (*.f64 1/6 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 3))))) (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (-.f64 1 (log.f64 N)))))))) (pow.f64 (-.f64 1 (log.f64 N)) 3)))) 1)
(/.f64 3 N)
(+.f64 (*.f64 3 (/.f64 1 N)) (*.f64 3/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 N 2))) (*.f64 3 (/.f64 1 N))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 4))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 N 2))) (*.f64 3 (/.f64 1 N)))) (/.f64 1 (pow.f64 N 3)))
(/.f64 3 N)
(+.f64 (*.f64 3 (/.f64 1 N)) (*.f64 3/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 N 2))) (*.f64 3 (/.f64 1 N))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 4))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 N 2))) (*.f64 3 (/.f64 1 N)))) (/.f64 1 (pow.f64 N 3)))
(pow.f64 (-.f64 1 (log.f64 N)) 2)
(+.f64 (*.f64 2 (*.f64 N (-.f64 1 (log.f64 N)))) (pow.f64 (-.f64 1 (log.f64 N)) 2))
(+.f64 (*.f64 2 (*.f64 N (-.f64 1 (log.f64 N)))) (+.f64 (*.f64 (pow.f64 N 2) (*.f64 (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (log.f64 N))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (*.f64 2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (pow.f64 (-.f64 1 (log.f64 N)) 2))) (pow.f64 (-.f64 1 (log.f64 N)) 2)))
(+.f64 (*.f64 2 (*.f64 N (-.f64 1 (log.f64 N)))) (+.f64 (*.f64 (pow.f64 N 2) (*.f64 (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (-.f64 1 (log.f64 N))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (*.f64 2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (pow.f64 (-.f64 1 (log.f64 N)) 2))) (+.f64 (*.f64 (pow.f64 N 3) (*.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (log.f64 N))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2))) (-.f64 1 (log.f64 N)))) (+.f64 (*.f64 1/3 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 3))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2))) (*.f64 2 (/.f64 1 (-.f64 1 (log.f64 N))))))) (*.f64 4/3 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 3))))) (pow.f64 (-.f64 1 (log.f64 N)) 2))) (pow.f64 (-.f64 1 (log.f64 N)) 2))))
1
(+.f64 1 (*.f64 2 (/.f64 1 N)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 N))) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))
(-.f64 (+.f64 1 (+.f64 (*.f64 5/12 (/.f64 1 (pow.f64 N 4))) (*.f64 2 (/.f64 1 N)))) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))
1
(+.f64 1 (*.f64 2 (/.f64 1 N)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 N))) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))
(-.f64 (+.f64 1 (+.f64 (*.f64 5/12 (/.f64 1 (pow.f64 N 4))) (*.f64 2 (/.f64 1 N)))) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))
(-.f64 1 (log.f64 N))
(-.f64 (+.f64 1 N) (log.f64 N))
(-.f64 (+.f64 1 (+.f64 N (*.f64 (pow.f64 N 2) (*.f64 (+.f64 (*.f64 -1/2 (+.f64 (/.f64 1 (-.f64 1 (log.f64 N))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (-.f64 1 (log.f64 N)))))) (log.f64 N))
(-.f64 (+.f64 1 (+.f64 N (+.f64 (*.f64 (pow.f64 N 2) (*.f64 (+.f64 (*.f64 -1/2 (+.f64 (/.f64 1 (-.f64 1 (log.f64 N))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)))) (-.f64 1 (log.f64 N)))) (*.f64 (pow.f64 N 3) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (-.f64 1 (log.f64 N))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2))) (-.f64 1 (log.f64 N)))) (+.f64 (*.f64 1/6 (+.f64 (*.f64 2 (/.f64 1 (-.f64 1 (log.f64 N)))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2))) (*.f64 2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 3)))))) (*.f64 1/6 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 3))))) (-.f64 1 (log.f64 N))))))) (log.f64 N))
1
(+.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
1
(+.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
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(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)))
(-.f64 (/.f64 1 (-.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3))) (/.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 6) (-.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3))))
(-.f64 (exp.f64 (log.f64 (+.f64 0 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))) 1)
(*.f64 1 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3)) 1)
(*.f64 (-.f64 1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 6)) (/.f64 1 (-.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 9)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3) (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 6)))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3))))
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3/2)) (-.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3/2) 1))
(/.f64 1 (/.f64 (-.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3)) (-.f64 1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 6))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3) (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 6))) (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 9))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 6)) (-.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 9)) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3) (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 6))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 9)) (+.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 6) (-.f64 1 (neg.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 6) 1) (-.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3) -1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 6))) (neg.f64 (-.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 9))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3) (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 6)))))
(pow.f64 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3)) 1)
(pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3))) 2)
(pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3)) 2))
(log.f64 (exp.f64 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))))
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3)) 3))
(expm1.f64 (log.f64 (+.f64 0 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3))))
(exp.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3))) 1))
(log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3))))
(fma.f64 1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3) -1)
(fma.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 2) -1)
(fma.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3/2) (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3/2) -1)
(fma.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(*.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3/2))
(*.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3/2) (sqrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 2) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(*.f64 (*.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 6) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 3)
(pow.f64 (exp.f64 2) (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 2 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 2)) (cbrt.f64 (*.f64 2 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))) (sqrt.f64 (*.f64 2 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(pow.f64 (exp.f64 1) (*.f64 2 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 2) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(sqrt.f64 (pow.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 2))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 2))))
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))
(+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log1p.f64 N) (+.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (log1p.f64 N) (+.f64 (*.f64 (neg.f64 (log.f64 N)) 1) 1))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(+.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 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (+.f64 1 (-.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 1 (-.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 (neg.f64 (log.f64 N)) (+.f64 1 (log1p.f64 N)))
(+.f64 0 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (+.f64 1 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(+.f64 (+.f64 1 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 1))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) 1))
(+.f64 (+.f64 1 (neg.f64 (log.f64 N))) (log1p.f64 N))
(+.f64 (+.f64 1 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (+.f64 1 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (+.f64 (+.f64 1 (log1p.f64 N)) 0) (neg.f64 (log.f64 N)))
(+.f64 (+.f64 (+.f64 1 (log1p.f64 N)) (log.f64 (cbrt.f64 (pow.f64 N -2)))) (log.f64 (cbrt.f64 (/.f64 1 N))))
(+.f64 (+.f64 (+.f64 1 (log1p.f64 N)) (log.f64 (pow.f64 N -1/2))) (log.f64 (pow.f64 N -1/2)))
(-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(*.f64 1 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(*.f64 (sqrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1/2)
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (exp.f64 2) (/.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 1) (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(fabs.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))
(log.f64 (exp.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))))
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3))
(expm1.f64 (log.f64 (+.f64 2 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))
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 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 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))))
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(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))) 2)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (+.f64 (-.f64 1 (log1p.f64 N)) (log.f64 N)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (+.f64 (log.f64 N) (-.f64 1 (log1p.f64 N))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) (+.f64 1 (+.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (log1p.f64 N)) (log.f64 N))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) (+.f64 1 (+.f64 (log.f64 N) (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (log1p.f64 N)))))
(pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3)
(-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)
(-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1/2)
(sqrt.f64 (pow.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N)) 2))
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))
(pow.f64 (exp.f64 2) (/.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 1) (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (E.f64) (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(sqrt.f64 (pow.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N)) 2))
(fabs.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))
(fabs.f64 (-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N)))
(log.f64 (exp.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))))
(-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3))
(-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))
(expm1.f64 (log.f64 (+.f64 2 (-.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (+.f64 1 (log1p.f64 N)) (log.f64 N))

eval1.2s (10.7%)

Compiler

Compiled 70321 to 34120 computations (51.5% saved)

prune673.0ms (5.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New166631669
Fresh033
Picked235
Done000
Total166891677
Accuracy
100.0%
Counts
1677 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.0%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
✓51.8%
(/.f64 1 N)
▶49.9%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓51.7%
(-.f64 N (log.f64 N))
▶20.5%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -3) (*.f64 N (+.f64 N -1/2))))
▶53.9%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
▶50.5%
(neg.f64 (log.f64 N))
✓53.9%
(log.f64 (/.f64 (+.f64 N 1) N))
4.6%
N
▶53.0%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
✓51.8%
(/.f64 1 N)
▶49.9%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓51.7%
(-.f64 N (log.f64 N))
▶20.5%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -3) (*.f64 N (+.f64 N -1/2))))
▶53.9%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
▶50.5%
(neg.f64 (log.f64 N))
✓53.9%
(log.f64 (/.f64 (+.f64 N 1) N))
4.6%
N
Compiler

Compiled 232 to 164 computations (29.3% saved)

localize260.0ms (2.2%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
✓99.9%
(sqrt.f64 (log1p.f64 N))
✓53.0%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
99.5%
(/.f64 1/3 (pow.f64 N 3))
✓79.1%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -3) (*.f64 N (+.f64 N -1/2))))
✓63.2%
(*.f64 (pow.f64 N -3) (*.f64 N (+.f64 N -1/2)))
✓100.0%
(pow.f64 N 2)
100.0%
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
99.6%
(/.f64 1/2 (pow.f64 N 2))
✓100.0%
(/.f64 N (+.f64 N 1))
✓53.9%
(log.f64 (/.f64 N (+.f64 N 1)))
Compiler

Compiled 124 to 74 computations (40.3% saved)

series15.0ms (0.1%)

Counts
7 → 65
Calls

21 calls:

TimeVariablePointExpression
2.0ms
N
@-inf
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
2.0ms
N
@inf
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
1.0ms
N
@0
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
1.0ms
N
@inf
(sqrt.f64 (log1p.f64 N))
1.0ms
N
@-inf
(sqrt.f64 (log1p.f64 N))

rewrite202.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
913×associate-/r*
239×associate-+l+
184×associate-+r+
172×pow1
169×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029176
1423150
25297150
Stop Event
1×node limit
Counts
7 → 341
Calls
Call 1
Inputs
(log.f64 (/.f64 N (+.f64 N 1)))
(/.f64 N (+.f64 N 1))
(pow.f64 N 2)
(*.f64 (pow.f64 N -3) (*.f64 N (+.f64 N -1/2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -3) (*.f64 N (+.f64 N -1/2))))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(sqrt.f64 (log1p.f64 N))
Outputs
(+.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 0)
(+.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (neg.f64 (log1p.f64 N)) 1 (log1p.f64 N)))
(+.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (log1p.f64 N)))
(+.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (log1p.f64 N)))
(+.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (fma.f64 (neg.f64 (log1p.f64 N)) 1 (log1p.f64 N)) (fma.f64 (neg.f64 (log1p.f64 N)) 1 (log1p.f64 N))))
(+.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (log1p.f64 N)) (fma.f64 (neg.f64 (log1p.f64 N)) 1 (log1p.f64 N))))
(+.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (log1p.f64 N)) (fma.f64 (neg.f64 (log1p.f64 N)) 1 (log1p.f64 N))))
(+.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (fma.f64 (neg.f64 (log1p.f64 N)) 1 (log1p.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (log1p.f64 N))))
(+.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (log1p.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (log1p.f64 N))))
(+.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (log1p.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (log1p.f64 N))))
(+.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (fma.f64 (neg.f64 (log1p.f64 N)) 1 (log1p.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (log1p.f64 N))))
(+.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (log1p.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (log1p.f64 N))))
(+.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (log1p.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (log1p.f64 N))))
(+.f64 (log.f64 N) (*.f64 -1 (log1p.f64 N)))
(+.f64 (log.f64 N) (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N))))
(+.f64 (log.f64 N) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (cbrt.f64 (log1p.f64 N))))
(+.f64 (log.f64 N) (neg.f64 (log1p.f64 N)))
(+.f64 (log.f64 N) (log.f64 (/.f64 1 (+.f64 N 1))))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 (log1p.f64 N)) (fma.f64 (neg.f64 (log1p.f64 N)) 1 (log1p.f64 N))))
(+.f64 (log.f64 N) (+.f64 (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N))) (fma.f64 (neg.f64 (log1p.f64 N)) 1 (log1p.f64 N))))
(+.f64 (log.f64 N) (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (cbrt.f64 (log1p.f64 N))) (fma.f64 (neg.f64 (log1p.f64 N)) 1 (log1p.f64 N))))
(+.f64 (log.f64 N) (+.f64 (neg.f64 (log1p.f64 N)) (fma.f64 (neg.f64 (log1p.f64 N)) 1 (log1p.f64 N))))
(+.f64 (log.f64 N) (+.f64 (log.f64 (/.f64 1 (+.f64 N 1))) (fma.f64 (neg.f64 (log1p.f64 N)) 1 (log1p.f64 N))))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 (log1p.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (log1p.f64 N))))
(+.f64 (log.f64 N) (+.f64 (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (log1p.f64 N))))
(+.f64 (log.f64 N) (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (cbrt.f64 (log1p.f64 N))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (log1p.f64 N))))
(+.f64 (log.f64 N) (+.f64 (neg.f64 (log1p.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (log1p.f64 N))))
(+.f64 (log.f64 N) (+.f64 (log.f64 (/.f64 1 (+.f64 N 1))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (log1p.f64 N))))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 (log1p.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (log1p.f64 N))))
(+.f64 (log.f64 N) (+.f64 (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (log1p.f64 N))))
(+.f64 (log.f64 N) (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (cbrt.f64 (log1p.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (log1p.f64 N))))
(+.f64 (log.f64 N) (+.f64 (neg.f64 (log1p.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (log1p.f64 N))))
(+.f64 (log.f64 N) (+.f64 (log.f64 (/.f64 1 (+.f64 N 1))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (log1p.f64 N))))
(+.f64 0 (-.f64 (log.f64 N) (log1p.f64 N)))
(+.f64 (*.f64 -1 (log1p.f64 N)) (log.f64 N))
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N))) (log.f64 N))
(+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (cbrt.f64 (log1p.f64 N))) (log.f64 N))
(+.f64 (neg.f64 (log1p.f64 N)) (log.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2)) (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2)) (+.f64 (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1)))) (fma.f64 (neg.f64 (log1p.f64 N)) 1 (log1p.f64 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2)) (+.f64 (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1)))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (log1p.f64 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2)) (+.f64 (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (log1p.f64 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 N) 2)) (+.f64 (log.f64 (cbrt.f64 N)) (*.f64 -1 (log1p.f64 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 N) 2)) (+.f64 (log.f64 (cbrt.f64 N)) (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 N) 2)) (+.f64 (log.f64 (cbrt.f64 N)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (cbrt.f64 (log1p.f64 N)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 N) 2)) (+.f64 (log.f64 (cbrt.f64 N)) (neg.f64 (log1p.f64 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 N) 2)) (+.f64 (log.f64 (cbrt.f64 N)) (log.f64 (/.f64 1 (+.f64 N 1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 N) 2)) (-.f64 (log.f64 (cbrt.f64 N)) (log1p.f64 N)))
(+.f64 (log.f64 (/.f64 1 (+.f64 N 1))) (log.f64 N))
(+.f64 (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))) (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))) (+.f64 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))) (fma.f64 (neg.f64 (log1p.f64 N)) 1 (log1p.f64 N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))) (+.f64 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)) (log1p.f64 N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))) (+.f64 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 N))) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (log1p.f64 N))))
(+.f64 (log.f64 (sqrt.f64 N)) (+.f64 (log.f64 (sqrt.f64 N)) (*.f64 -1 (log1p.f64 N))))
(+.f64 (log.f64 (sqrt.f64 N)) (+.f64 (log.f64 (sqrt.f64 N)) (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)))))
(+.f64 (log.f64 (sqrt.f64 N)) (+.f64 (log.f64 (sqrt.f64 N)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (cbrt.f64 (log1p.f64 N)))))
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(*.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2)) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 (pow.f64 N -3) 1/3) (*.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 (pow.f64 N -3) 1/3)))) (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3))))
(/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 2)) (-.f64 (*.f64 (pow.f64 N -3) 1/3) (*.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 (pow.f64 N -3) 1/3)))))
(/.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 (pow.f64 N -3) 1/3)))
(/.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 (pow.f64 N -3) 1/3) (*.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 (pow.f64 N -3) 1/3))))))
(/.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 2)) 1) (-.f64 (*.f64 (pow.f64 N -3) 1/3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(/.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 2)) (+.f64 (sqrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) (*.f64 (sqrt.f64 1/3) (pow.f64 N -3/2)))) (-.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 N -3/2)) (sqrt.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(/.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 2)) (sqrt.f64 (-.f64 (*.f64 (pow.f64 N -3) 1/3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 N -3) 1/3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(/.f64 (/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -6)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 N -3) 1/3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 N -3) 1/3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 N -3) 1/3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(/.f64 (/.f64 (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3)) 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 (pow.f64 N -3) 1/3)))))
(/.f64 (/.f64 (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) 3)) (sqrt.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 (pow.f64 N -3) 1/3)))))) (sqrt.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 (pow.f64 N -3) 1/3))))))
(/.f64 (/.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 (cbrt.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 (pow.f64 N -3) 1/3))))) (cbrt.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 (pow.f64 N -3) 1/3))))))) (cbrt.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 (pow.f64 N -3) 1/3))))))
(pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))))
(fma.f64 1 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) (*.f64 (pow.f64 N -3) 1/3))
(fma.f64 1 (*.f64 (pow.f64 N -3) 1/3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 (pow.f64 N -3) (*.f64 N (+.f64 N -1/2)) (*.f64 (pow.f64 N -3) 1/3))
(fma.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N -3) (*.f64 (pow.f64 N -3) 1/3))
(fma.f64 1/3 (pow.f64 N -3) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.f64 (pow.f64 N -2) (+.f64 N -1/2) (*.f64 (pow.f64 N -3) 1/3))
(fma.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 N -3) 1/3))
(fma.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 N -3/2)) (*.f64 (sqrt.f64 1/3) (pow.f64 N -3/2)) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(fma.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 (pow.f64 N -3) 1/3))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (*.f64 (+.f64 N -1/2) (pow.f64 N -2)))
(+.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log.f64 N) (log1p.f64 N))
(+.f64 0 (+.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2))) (+.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 N)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2))) (-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 N) 2)) (+.f64 (log.f64 (cbrt.f64 N)) (log1p.f64 N)))
(+.f64 (log.f64 (sqrt.f64 N)) (+.f64 (log.f64 (sqrt.f64 N)) (log1p.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 N 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (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 (+.f64 (log.f64 N) (log.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)))) (log.f64 (cbrt.f64 (+.f64 N 1))))
(+.f64 (+.f64 (log.f64 N) (log.f64 (sqrt.f64 (+.f64 N 1)))) (log.f64 (sqrt.f64 (+.f64 N 1))))
(+.f64 (-.f64 (log1p.f64 N) 0) (log.f64 N))
(+.f64 (-.f64 (log1p.f64 N) (exp.f64 (log1p.f64 (log.f64 N)))) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (-.f64 (log.f64 N) (log1p.f64 N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (-.f64 (log.f64 (fma.f64 N N (-.f64 1 N))) (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)) (log.f64 N)))
(-.f64 (log.f64 (fma.f64 N N -1)) (+.f64 (log.f64 (+.f64 N -1)) (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 N))) (-.f64 1 (log1p.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 N))) (+.f64 1 (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (+.f64 (log1p.f64 N) (exp.f64 (log1p.f64 (log.f64 N)))) 1)
(-.f64 (+.f64 (log.f64 N) (log1p.f64 (pow.f64 N 3))) (log.f64 (fma.f64 N N (-.f64 1 N))))
(-.f64 (+.f64 (log.f64 N) (log.f64 (fma.f64 N N -1))) (log.f64 (+.f64 N -1)))
(-.f64 (+.f64 (log.f64 N) (exp.f64 (log1p.f64 (log1p.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))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1)
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.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 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 1) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (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) (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (+.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)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (*.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (*.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))))
(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 (sqrt.f64 (log1p.f64 N)))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 N)))
(*.f64 (sqrt.f64 (log1p.f64 N)) 1)
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (cbrt.f64 (log1p.f64 N)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 1/2))
(pow.f64 (log1p.f64 N) 1/2)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 1)
(pow.f64 (pow.f64 (log1p.f64 N) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (log1p.f64 N)))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 N)))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 N))))

simplify289.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
495×+-commutative
375×associate-+l+
362×associate-+r+
333×associate-*r*
299×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089821365
1232520115
Stop Event
1×node limit
Counts
406 → 628
Calls
Call 1
Inputs
(log.f64 N)
(+.f64 (log.f64 N) (*.f64 -1 N))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (+.f64 (*.f64 -1/3 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N 2)))))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
N
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 3)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (+.f64 (*.f64 -1 (pow.f64 N 4)) (pow.f64 N 3))))
1
(-.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
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(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (log1p.f64 N)))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 N)))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 N))))
Outputs
(log.f64 N)
(+.f64 (log.f64 N) (*.f64 -1 N))
(+.f64 (log.f64 N) (neg.f64 N))
(-.f64 (log.f64 N) N)
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 N) (fma.f64 -1 N (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (-.f64 (log.f64 N) N) (*.f64 1/2 (pow.f64 N 2)))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (+.f64 (*.f64 -1/3 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N 2)))))
(+.f64 (log.f64 N) (fma.f64 -1 N (fma.f64 -1/3 (pow.f64 N 3) (*.f64 1/2 (pow.f64 N 2)))))
(+.f64 (-.f64 (log.f64 N) N) (fma.f64 -1/3 (pow.f64 N 3) (*.f64 1/2 (pow.f64 N 2))))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(-.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))))
(+.f64 (-.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/4 (pow.f64 N 4)))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(-.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))))
(+.f64 (-.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/4 (pow.f64 N 4)))
N
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (neg.f64 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 3)))
(+.f64 N (fma.f64 -1 (pow.f64 N 2) (pow.f64 N 3)))
(+.f64 N (*.f64 (pow.f64 N 2) (+.f64 N -1)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (+.f64 (*.f64 -1 (pow.f64 N 4)) (pow.f64 N 3))))
(+.f64 N (fma.f64 -1 (pow.f64 N 2) (fma.f64 -1 (pow.f64 N 4) (pow.f64 N 3))))
(+.f64 N (+.f64 (pow.f64 N 3) (neg.f64 (+.f64 (pow.f64 N 2) (pow.f64 N 4)))))
1
(-.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 -1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -1 N)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -1 N))) (/.f64 1 (pow.f64 N 3)))
1
(-.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 -1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -1 N)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -1 N))) (/.f64 1 (pow.f64 N 3)))
(/.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 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.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 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.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 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.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 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.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 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.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 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.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 (log.f64 N))
(neg.f64 (log.f64 N))
(-.f64 (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (sqrt.f64 -1) 2)) (neg.f64 (neg.f64 (log.f64 N))))
(*.f64 (neg.f64 (log.f64 N)) (-.f64 (pow.f64 (sqrt.f64 -1) 2) -1))
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1 N)) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (fma.f64 (neg.f64 (log.f64 N)) (pow.f64 (sqrt.f64 -1) 2) (/.f64 1 N)) (neg.f64 (neg.f64 (log.f64 N))))
(+.f64 (/.f64 1 N) (*.f64 (neg.f64 (log.f64 N)) (-.f64 (pow.f64 (sqrt.f64 -1) 2) -1)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))) (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 N 2))) (+.f64 (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 N 2) (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2)))))))) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 N)))) (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 N 2)) (+.f64 (fma.f64 (neg.f64 (log.f64 N)) (pow.f64 (sqrt.f64 -1) 2) (/.f64 1 N)) (/.f64 1/4 (*.f64 (*.f64 (pow.f64 N 2) (neg.f64 (log.f64 N))) (pow.f64 (sqrt.f64 -1) 2))))) (neg.f64 (neg.f64 (log.f64 N))))
(+.f64 (/.f64 (neg.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 -1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (pow.f64 N 2)) (+.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (*.f64 (pow.f64 N 2) (neg.f64 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))))) (*.f64 (neg.f64 (log.f64 N)) (-.f64 (pow.f64 (sqrt.f64 -1) 2) -1))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))) (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 N 2))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 N 2) (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1 N))))) (*.f64 -1 (log.f64 (/.f64 1 N))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 N)))) (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 N 2)) (+.f64 (/.f64 1/4 (*.f64 (*.f64 (pow.f64 N 2) (neg.f64 (log.f64 N))) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (fma.f64 (neg.f64 (log.f64 N)) (pow.f64 (sqrt.f64 -1) 2) (/.f64 1 N))))) (neg.f64 (neg.f64 (log.f64 N))))
(+.f64 (/.f64 (neg.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 -1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (pow.f64 N 2)) (+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (*.f64 (pow.f64 N 2) (neg.f64 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))))) (+.f64 (/.f64 1 N) (*.f64 (neg.f64 (log.f64 N)) (-.f64 (pow.f64 (sqrt.f64 -1) 2) -1)))))
(/.f64 1 N)
(+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) 2)) (pow.f64 N 2))) (+.f64 (/.f64 1/4 (*.f64 (pow.f64 N 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (/.f64 1 N)))
(fma.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))) 2)) (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 (/.f64 1/4 (pow.f64 N 2)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) 2)) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 1/3 (*.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) 2)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))) (*.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) 2)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 3))) (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 N 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))))))
(fma.f64 -1 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))) 2)) (pow.f64 N 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 (+.f64 1/3 (*.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))) 2)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))) (*.f64 1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))) 2)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 (/.f64 1/4 (pow.f64 N 2)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))))
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(-.f64 (+.f64 (log.f64 N) (exp.f64 (log1p.f64 (log1p.f64 N)))) 1)
(+.f64 (+.f64 (log.f64 N) (exp.f64 (log1p.f64 (log1p.f64 N)))) -1)
(+.f64 (log.f64 N) (+.f64 (exp.f64 (log1p.f64 (log1p.f64 N))) -1))
(-.f64 (-.f64 (log1p.f64 N) 0) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (-.f64 (log1p.f64 N) (log.f64 (pow.f64 (cbrt.f64 N) 2))) (log.f64 (cbrt.f64 N)))
(-.f64 (log1p.f64 N) (+.f64 (log.f64 (pow.f64 (cbrt.f64 N) 2)) (log.f64 (cbrt.f64 N))))
(-.f64 (log1p.f64 N) (*.f64 3 (log.f64 (cbrt.f64 N))))
(-.f64 (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))) (log.f64 (sqrt.f64 N)))
(-.f64 (log1p.f64 N) (+.f64 (log.f64 (sqrt.f64 N)) (log.f64 (sqrt.f64 N))))
(-.f64 (log1p.f64 N) (*.f64 2 (log.f64 (sqrt.f64 N))))
(*.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 N) (log1p.f64 N))
(*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1)
(+.f64 (log.f64 N) (log1p.f64 N))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 N) (log1p.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 (log.f64 N) (log1p.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 N) (log1p.f64 N))
(/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1)
(+.f64 (log.f64 N) (log1p.f64 N))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (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 (pow.f64 (log1p.f64 N) 2) (-.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (+.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (+.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 1) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1)
(+.f64 (log.f64 N) (log1p.f64 N))
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)
(+.f64 (log.f64 N) (log1p.f64 N))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 3)
(+.f64 (log.f64 N) (log1p.f64 N))
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(+.f64 (log.f64 N) (log1p.f64 N))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))
(sqrt.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 2))
(log.f64 (*.f64 (+.f64 N 1) N))
(log.f64 (*.f64 N (+.f64 N 1)))
(log.f64 (+.f64 1 (-.f64 (*.f64 (+.f64 N 1) N) 1)))
(log1p.f64 (fma.f64 (+.f64 N 1) N -1))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3))
(+.f64 (log.f64 N) (log1p.f64 N))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 N) (log1p.f64 N))
(exp.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 N) (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 1))
(+.f64 (log.f64 N) (log1p.f64 N))
(log1p.f64 (-.f64 (*.f64 (+.f64 N 1) N) 1))
(log1p.f64 (fma.f64 (+.f64 N 1) N -1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N)))) 1)
(sqrt.f64 (log1p.f64 N))
(*.f64 1 (sqrt.f64 (log1p.f64 N)))
(sqrt.f64 (log1p.f64 N))
(*.f64 (sqrt.f64 (log1p.f64 N)) 1)
(sqrt.f64 (log1p.f64 N))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4))
(sqrt.f64 (log1p.f64 N))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (cbrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 N)))
(sqrt.f64 (log1p.f64 N))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 1/2)
(sqrt.f64 (log1p.f64 N))
(pow.f64 (sqrt.f64 (log1p.f64 N)) 1)
(sqrt.f64 (log1p.f64 N))
(pow.f64 (pow.f64 (log1p.f64 N) 1/4) 2)
(sqrt.f64 (log1p.f64 N))
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3)
(sqrt.f64 (log1p.f64 N))
(pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(fabs.f64 (sqrt.f64 (log1p.f64 N)))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 N)))))
(sqrt.f64 (log1p.f64 N))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/2))
(sqrt.f64 (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 1))
(sqrt.f64 (log1p.f64 N))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))

eval394.0ms (3.4%)

Compiler

Compiled 18465 to 12599 computations (31.8% saved)

prune197.0ms (1.7%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New8563859
Fresh011
Picked235
Done033
Total85810868
Accuracy
100.0%
Counts
868 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.0%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
✓51.8%
(/.f64 1 N)
▶49.9%
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
✓51.7%
(-.f64 N (log.f64 N))
▶21.5%
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))
▶20.0%
(*.f64 (pow.f64 N -3) (*.f64 N (+.f64 N -1/2)))
✓53.9%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓50.5%
(neg.f64 (log.f64 N))
✓53.9%
(log.f64 (/.f64 (+.f64 N 1) N))
4.6%
N
✓53.0%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
✓51.8%
(/.f64 1 N)
▶49.9%
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
✓51.7%
(-.f64 N (log.f64 N))
▶21.5%
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))
▶20.0%
(*.f64 (pow.f64 N -3) (*.f64 N (+.f64 N -1/2)))
✓53.9%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓50.5%
(neg.f64 (log.f64 N))
✓53.9%
(log.f64 (/.f64 (+.f64 N 1) N))
4.6%
N
Compiler

Compiled 146 to 100 computations (31.5% saved)

localize286.0ms (2.5%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
✓99.6%
(/.f64 1/2 (*.f64 N N))
✓100.0%
(+.f64 (*.f64 N (+.f64 N -1/2)) 1/3)
✓70.4%
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))
63.2%
(*.f64 (pow.f64 N -3) (*.f64 N (+.f64 N -1/2)))
Compiler

Compiled 81 to 52 computations (35.8% saved)

series2.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite172.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
857×associate-/r*
332×associate-/l*
309×associate-/r/
164×associate-/l/
152×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019104
128698
2410798
Stop Event
1×node limit
Counts
4 → 315
Calls
Call 1
Inputs
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))
(+.f64 (*.f64 N (+.f64 N -1/2)) 1/3)
(/.f64 1/2 (*.f64 N N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
Outputs
(+.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (*.f64 (pow.f64 N -3) 1/3))
(+.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (*.f64 (*.f64 (pow.f64 N -3) 1/3) 1))
(+.f64 (*.f64 (pow.f64 N -3) 1/3) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(+.f64 (*.f64 (pow.f64 N -3) (pow.f64 N 2)) (+.f64 (*.f64 (pow.f64 N -3) (*.f64 N -1/2)) (*.f64 (pow.f64 N -3) 1/3)))
(+.f64 (*.f64 (*.f64 (pow.f64 N -3) 1/3) 1) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(+.f64 (*.f64 (pow.f64 N 2) (pow.f64 N -3)) (+.f64 (*.f64 (*.f64 N -1/2) (pow.f64 N -3)) (*.f64 (pow.f64 N -3) 1/3)))
(+.f64 (+.f64 (*.f64 (pow.f64 N -3) 1/3) (*.f64 (pow.f64 N -3) (pow.f64 N 2))) (*.f64 (pow.f64 N -3) (*.f64 N -1/2)))
(+.f64 (+.f64 (*.f64 (pow.f64 N -3) 1/3) (*.f64 (pow.f64 N 2) (pow.f64 N -3))) (*.f64 (*.f64 N -1/2) (pow.f64 N -3)))
(-.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 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (-.f64 1/9 (*.f64 (+.f64 N -1/2) (*.f64 N 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 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (-.f64 1/9 (*.f64 (+.f64 N -1/2) (*.f64 N 1/3)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9) (pow.f64 N -3)) (fma.f64 N (+.f64 N -1/2) -1/3))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27) (pow.f64 N -3)) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (-.f64 1/9 (*.f64 (+.f64 N -1/2) (*.f64 N 1/3)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 2) (*.f64 (*.f64 (pow.f64 N -3) 1/3) (*.f64 (pow.f64 N -3) 1/3))) (-.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (*.f64 (pow.f64 N -3) 1/3)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 3) (pow.f64 (*.f64 (pow.f64 N -3) 1/3) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 2) (-.f64 (*.f64 (*.f64 (pow.f64 N -3) 1/3) (*.f64 (pow.f64 N -3) 1/3)) (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (*.f64 (pow.f64 N -3) 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)) 2) -1/9)) (sqrt.f64 (fma.f64 N (+.f64 N -1/2) -1/3))) (sqrt.f64 (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)) (*.f64 (cbrt.f64 (fma.f64 N (+.f64 N -1/2) -1/3)) (cbrt.f64 (fma.f64 N (+.f64 N -1/2) -1/3)))) (cbrt.f64 (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 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (-.f64 1/9 (*.f64 (+.f64 N -1/2) (*.f64 N 1/3)))))
(/.f64 (/.f64 (*.f64 (pow.f64 N -3) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (-.f64 1/9 (*.f64 (+.f64 N -1/2) (*.f64 N 1/3)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (-.f64 1/9 (*.f64 (+.f64 N -1/2) (*.f64 N 1/3))))))
(/.f64 (/.f64 (*.f64 (pow.f64 N -3) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (-.f64 1/9 (*.f64 (+.f64 N -1/2) (*.f64 N 1/3))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (-.f64 1/9 (*.f64 (+.f64 N -1/2) (*.f64 N 1/3))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (-.f64 1/9 (*.f64 (+.f64 N -1/2) (*.f64 N 1/3))))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9) (pow.f64 N -3)) 1) (fma.f64 N (+.f64 N -1/2) -1/3))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9) (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)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9) (pow.f64 N -3)) (*.f64 (cbrt.f64 (fma.f64 N (+.f64 N -1/2) -1/3)) (cbrt.f64 (fma.f64 N (+.f64 N -1/2) -1/3)))) (cbrt.f64 (fma.f64 N (+.f64 N -1/2) -1/3)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27) (pow.f64 N -3)) 1) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (-.f64 1/9 (*.f64 (+.f64 N -1/2) (*.f64 N 1/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27) (pow.f64 N -3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (-.f64 1/9 (*.f64 (+.f64 N -1/2) (*.f64 N 1/3)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (-.f64 1/9 (*.f64 (+.f64 N -1/2) (*.f64 N 1/3))))))
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(/.f64 (sqrt.f64 (-.f64 (pow.f64 N -3) (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3)))) (/.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (*.f64 (pow.f64 N -3) 1/2) (pow.f64 N -2))) (sqrt.f64 (-.f64 (pow.f64 N -3) (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N -3) (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3)))) (cbrt.f64 (-.f64 (pow.f64 N -3) (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3))))) (/.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (*.f64 (pow.f64 N -3) 1/2) (pow.f64 N -2))) (cbrt.f64 (-.f64 (pow.f64 N -3) (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3))))))
(/.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 1/2 (pow.f64 N -2)) (/.f64 1 N)) (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))))))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) 1) (pow.f64 N 3))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (sqrt.f64 N)) (*.f64 (sqrt.f64 N) (pow.f64 N 2)))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 (cbrt.f64 N) 2)) (*.f64 (cbrt.f64 N) (pow.f64 N 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) 1) (+.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 1 N)))
(/.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 1 N)))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 1 N))))
(/.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 1 N))) (cbrt.f64 (+.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 1 N))))) (cbrt.f64 (+.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 1 N))))
(/.f64 (/.f64 (-.f64 (pow.f64 N -3) (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3))) 1) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (*.f64 (pow.f64 N -3) 1/2) (pow.f64 N -2))))
(/.f64 (/.f64 (-.f64 (pow.f64 N -3) (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3))) (sqrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (*.f64 (pow.f64 N -3) 1/2) (pow.f64 N -2))))) (sqrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (*.f64 (pow.f64 N -3) 1/2) (pow.f64 N -2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 N -3) (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (*.f64 (pow.f64 N -3) 1/2) (pow.f64 N -2)))) (cbrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (*.f64 (pow.f64 N -3) 1/2) (pow.f64 N -2)))))) (cbrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (*.f64 (pow.f64 N -3) 1/2) (pow.f64 N -2)))))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 2)) N)
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (cbrt.f64 (pow.f64 N 4))) (*.f64 (pow.f64 (cbrt.f64 N) 2) N))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (*.f64 (pow.f64 N 2) (sqrt.f64 N))) (sqrt.f64 N))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (*.f64 (pow.f64 N 2) (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (*.f64 N (sqrt.f64 N))) (*.f64 N (sqrt.f64 N)))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (*.f64 N (cbrt.f64 (pow.f64 N 4)))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (*.f64 (sqrt.f64 N) N)) (*.f64 (sqrt.f64 N) N))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 3/2)) (pow.f64 N 3/2))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (sqrt.f64 (pow.f64 N 3))) (sqrt.f64 (pow.f64 N 3)))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 (sqrt.f64 N) 3)) (pow.f64 (sqrt.f64 N) 3))
(/.f64 (/.f64 (/.f64 N (/.f64 N (+.f64 N -1/2))) N) N)
(/.f64 (/.f64 (/.f64 N (/.f64 N (+.f64 N -1/2))) (sqrt.f64 N)) (*.f64 (sqrt.f64 N) N))
(/.f64 (/.f64 (/.f64 N (/.f64 N (+.f64 N -1/2))) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)))
(/.f64 (/.f64 (/.f64 N (/.f64 N (+.f64 N -1/2))) (pow.f64 (cbrt.f64 N) 2)) (*.f64 (cbrt.f64 N) N))
(/.f64 (/.f64 (/.f64 N (/.f64 N (+.f64 N -1/2))) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (/.f64 N (/.f64 N (+.f64 N -1/2))) (*.f64 N (sqrt.f64 N))) (sqrt.f64 N))
(/.f64 (/.f64 (/.f64 N (/.f64 N (+.f64 N -1/2))) (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(/.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) 1) N)
(/.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(/.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) (sqrt.f64 (cbrt.f64 (pow.f64 N 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (-.f64 0 (*.f64 N (+.f64 N -1/2))) N) (neg.f64 (pow.f64 N 2)))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 N 2) 2) N) N) (*.f64 (pow.f64 N 2) 2))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) N) N)
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) 1) (pow.f64 N 2))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (sqrt.f64 N)) (*.f64 (sqrt.f64 N) N))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (*.f64 (cbrt.f64 N) N))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N (sqrt.f64 N))) (sqrt.f64 N))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(/.f64 (/.f64 (-.f64 (*.f64 -1 (neg.f64 (pow.f64 N 2))) (*.f64 (neg.f64 N) -1/2)) (neg.f64 N)) (neg.f64 (pow.f64 N 2)))
(/.f64 (/.f64 (-.f64 0 (*.f64 N (+.f64 N -1/2))) (neg.f64 N)) (pow.f64 N 2))
(/.f64 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 N 2) 2)) (*.f64 (neg.f64 N) 1)) (neg.f64 N)) (*.f64 (pow.f64 N 2) 2))
(/.f64 (/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) N) (neg.f64 N))
(/.f64 (/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) 1) (neg.f64 (pow.f64 N 2)))
(/.f64 (/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) -1) (pow.f64 N 2))
(/.f64 (/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) (neg.f64 N)) N)
(/.f64 (/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) (cbrt.f64 (pow.f64 N 4))) (neg.f64 (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) (neg.f64 (cbrt.f64 (pow.f64 N 4)))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) (sqrt.f64 (neg.f64 (pow.f64 N 2)))) (sqrt.f64 (neg.f64 (pow.f64 N 2))))
(/.f64 (/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) (*.f64 (cbrt.f64 (neg.f64 (pow.f64 N 2))) (cbrt.f64 (neg.f64 (pow.f64 N 2))))) (cbrt.f64 (neg.f64 (pow.f64 N 2))))
(pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (*.f64 N (+.f64 N -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) (pow.f64 (pow.f64 N -3) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(exp.f64 (+.f64 (log.f64 (*.f64 N (+.f64 N -1/2))) (*.f64 -3 (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(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)) (/.f64 1 (cbrt.f64 N)) (*.f64 -1/2 (pow.f64 N -2)))

simplify321.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
602×associate-*r*
510×associate-*l*
429×associate-/l*
418×associate-/r*
389×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082022448
1243721833
Stop Event
1×node limit
Counts
363 → 532
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 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (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 (-.f64 1 (/.f64 1/2 N)) N) (*.f64 (pow.f64 N -3) 1/3))
(+.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (*.f64 (*.f64 (pow.f64 N -3) 1/3) 1))
(+.f64 (*.f64 (pow.f64 N -3) 1/3) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(+.f64 (*.f64 (pow.f64 N -3) (pow.f64 N 2)) (+.f64 (*.f64 (pow.f64 N -3) (*.f64 N -1/2)) (*.f64 (pow.f64 N -3) 1/3)))
(+.f64 (*.f64 (*.f64 (pow.f64 N -3) 1/3) 1) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(+.f64 (*.f64 (pow.f64 N 2) (pow.f64 N -3)) (+.f64 (*.f64 (*.f64 N -1/2) (pow.f64 N -3)) (*.f64 (pow.f64 N -3) 1/3)))
(+.f64 (+.f64 (*.f64 (pow.f64 N -3) 1/3) (*.f64 (pow.f64 N -3) (pow.f64 N 2))) (*.f64 (pow.f64 N -3) (*.f64 N -1/2)))
(+.f64 (+.f64 (*.f64 (pow.f64 N -3) 1/3) (*.f64 (pow.f64 N 2) (pow.f64 N -3))) (*.f64 (*.f64 N -1/2) (pow.f64 N -3)))
(-.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 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (-.f64 1/9 (*.f64 (+.f64 N -1/2) (*.f64 N 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 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (-.f64 1/9 (*.f64 (+.f64 N -1/2) (*.f64 N 1/3)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) -1/9) (pow.f64 N -3)) (fma.f64 N (+.f64 N -1/2) -1/3))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27) (pow.f64 N -3)) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (-.f64 1/9 (*.f64 (+.f64 N -1/2) (*.f64 N 1/3)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 2) (*.f64 (*.f64 (pow.f64 N -3) 1/3) (*.f64 (pow.f64 N -3) 1/3))) (-.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (*.f64 (pow.f64 N -3) 1/3)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 3) (pow.f64 (*.f64 (pow.f64 N -3) 1/3) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 2) (-.f64 (*.f64 (*.f64 (pow.f64 N -3) 1/3) (*.f64 (pow.f64 N -3) 1/3)) (*.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (*.f64 (pow.f64 N -3) 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)) 2) -1/9)) (sqrt.f64 (fma.f64 N (+.f64 N -1/2) -1/3))) (sqrt.f64 (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)) (*.f64 (cbrt.f64 (fma.f64 N (+.f64 N -1/2) -1/3)) (cbrt.f64 (fma.f64 N (+.f64 N -1/2) -1/3)))) (cbrt.f64 (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 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (-.f64 1/9 (*.f64 (+.f64 N -1/2) (*.f64 N 1/3)))))
(/.f64 (/.f64 (*.f64 (pow.f64 N -3) (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/27)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (-.f64 1/9 (*.f64 (+.f64 N -1/2) (*.f64 N 1/3)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (-.f64 1/9 (*.f64 (+.f64 N -1/2) (*.f64 N 1/3))))))
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(/.f64 (-.f64 0 (*.f64 N (+.f64 N -1/2))) (*.f64 (neg.f64 N) (pow.f64 N 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 N 2) 2) N) (*.f64 N (*.f64 (pow.f64 N 2) 2)))
(/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (pow.f64 N 2))
(/.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 (-.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 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 1/2 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 1/2 (pow.f64 N -2)) (/.f64 1 N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -3) (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3)))) (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (*.f64 (pow.f64 N -3) 1/2) (pow.f64 N -2)))))
(/.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 1/2 (pow.f64 N -2)) (/.f64 1 N)) (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 (pow.f64 N -2) 3)))) (/.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (*.f64 (pow.f64 N -3) 1/2) (pow.f64 N -2))) (sqrt.f64 (-.f64 (pow.f64 N -3) (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N -3) (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3)))) (cbrt.f64 (-.f64 (pow.f64 N -3) (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3))))) (/.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (*.f64 (pow.f64 N -3) 1/2) (pow.f64 N -2))) (cbrt.f64 (-.f64 (pow.f64 N -3) (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3))))))
(/.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 1/2 (pow.f64 N -2)) (/.f64 1 N)) (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))))))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) 1) (pow.f64 N 3))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (sqrt.f64 N)) (*.f64 (sqrt.f64 N) (pow.f64 N 2)))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 (cbrt.f64 N) 2)) (*.f64 (cbrt.f64 N) (pow.f64 N 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) 1) (+.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 1 N)))
(/.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 1 N)))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 1 N))))
(/.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 1 N))) (cbrt.f64 (+.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 1 N))))) (cbrt.f64 (+.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 1 N))))
(/.f64 (/.f64 (-.f64 (pow.f64 N -3) (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3))) 1) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (*.f64 (pow.f64 N -3) 1/2) (pow.f64 N -2))))
(/.f64 (/.f64 (-.f64 (pow.f64 N -3) (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3))) (sqrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (*.f64 (pow.f64 N -3) 1/2) (pow.f64 N -2))))) (sqrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (*.f64 (pow.f64 N -3) 1/2) (pow.f64 N -2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 N -3) (*.f64 1/8 (pow.f64 (pow.f64 N -2) 3))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (*.f64 (pow.f64 N -3) 1/2) (pow.f64 N -2)))) (cbrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (*.f64 (pow.f64 N -3) 1/2) (pow.f64 N -2)))))) (cbrt.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (*.f64 (pow.f64 N -3) 1/2) (pow.f64 N -2)))))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 2)) N)
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (cbrt.f64 (pow.f64 N 4))) (*.f64 (pow.f64 (cbrt.f64 N) 2) N))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (*.f64 (pow.f64 N 2) (sqrt.f64 N))) (sqrt.f64 N))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (*.f64 (pow.f64 N 2) (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (*.f64 N (sqrt.f64 N))) (*.f64 N (sqrt.f64 N)))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (*.f64 N (cbrt.f64 (pow.f64 N 4)))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (*.f64 (sqrt.f64 N) N)) (*.f64 (sqrt.f64 N) N))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 3/2)) (pow.f64 N 3/2))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (sqrt.f64 (pow.f64 N 3))) (sqrt.f64 (pow.f64 N 3)))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 (sqrt.f64 N) 3)) (pow.f64 (sqrt.f64 N) 3))
(/.f64 (/.f64 (/.f64 N (/.f64 N (+.f64 N -1/2))) N) N)
(/.f64 (/.f64 (/.f64 N (/.f64 N (+.f64 N -1/2))) (sqrt.f64 N)) (*.f64 (sqrt.f64 N) N))
(/.f64 (/.f64 (/.f64 N (/.f64 N (+.f64 N -1/2))) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)))
(/.f64 (/.f64 (/.f64 N (/.f64 N (+.f64 N -1/2))) (pow.f64 (cbrt.f64 N) 2)) (*.f64 (cbrt.f64 N) N))
(/.f64 (/.f64 (/.f64 N (/.f64 N (+.f64 N -1/2))) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (/.f64 N (/.f64 N (+.f64 N -1/2))) (*.f64 N (sqrt.f64 N))) (sqrt.f64 N))
(/.f64 (/.f64 (/.f64 N (/.f64 N (+.f64 N -1/2))) (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(/.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) 1) N)
(/.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(/.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) (sqrt.f64 (cbrt.f64 (pow.f64 N 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (-.f64 0 (*.f64 N (+.f64 N -1/2))) N) (neg.f64 (pow.f64 N 2)))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 N 2) 2) N) N) (*.f64 (pow.f64 N 2) 2))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) N) N)
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) 1) (pow.f64 N 2))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (sqrt.f64 N)) (*.f64 (sqrt.f64 N) N))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (*.f64 (cbrt.f64 N) N))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N (sqrt.f64 N))) (sqrt.f64 N))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))
(/.f64 (/.f64 (-.f64 (*.f64 -1 (neg.f64 (pow.f64 N 2))) (*.f64 (neg.f64 N) -1/2)) (neg.f64 N)) (neg.f64 (pow.f64 N 2)))
(/.f64 (/.f64 (-.f64 0 (*.f64 N (+.f64 N -1/2))) (neg.f64 N)) (pow.f64 N 2))
(/.f64 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 N 2) 2)) (*.f64 (neg.f64 N) 1)) (neg.f64 N)) (*.f64 (pow.f64 N 2) 2))
(/.f64 (/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) N) (neg.f64 N))
(/.f64 (/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) 1) (neg.f64 (pow.f64 N 2)))
(/.f64 (/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) -1) (pow.f64 N 2))
(/.f64 (/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) (neg.f64 N)) N)
(/.f64 (/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) (cbrt.f64 (pow.f64 N 4))) (neg.f64 (pow.f64 (cbrt.f64 N) 2)))
(/.f64 (/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) (neg.f64 (cbrt.f64 (pow.f64 N 4)))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) (sqrt.f64 (neg.f64 (pow.f64 N 2)))) (sqrt.f64 (neg.f64 (pow.f64 N 2))))
(/.f64 (/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) (*.f64 (cbrt.f64 (neg.f64 (pow.f64 N 2))) (cbrt.f64 (neg.f64 (pow.f64 N 2))))) (cbrt.f64 (neg.f64 (pow.f64 N 2))))
(pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (*.f64 N (+.f64 N -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) (pow.f64 (pow.f64 N -3) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(exp.f64 (+.f64 (log.f64 (*.f64 N (+.f64 N -1/2))) (*.f64 -3 (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(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)) (/.f64 1 (cbrt.f64 N)) (*.f64 -1/2 (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 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(-.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 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 1 (/.f64 1/2 N)) 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 (/.f64 1/2 N)) N)
(-.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 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(-.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 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 1 (/.f64 1/2 N)) 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 (/.f64 1/2 N)) N)
(-.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 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(-.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 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
1/3
(+.f64 1/3 (*.f64 -1/2 N))
(+.f64 1/3 (*.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)
(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 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (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 (pow.f64 N 2)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) 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 (/.f64 1/2 N)) 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 (/.f64 1/2 N)) 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 (/.f64 1/2 N)) 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 (/.f64 1/2 N)) 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 (/.f64 1/2 N)) 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 (/.f64 1/2 N)) 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 (/.f64 1/2 N)) 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 (/.f64 1/2 N)) N)
(+.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (*.f64 (pow.f64 N -3) 1/3))
(fma.f64 (pow.f64 N -3) 1/3 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(+.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (*.f64 (*.f64 (pow.f64 N -3) 1/3) 1))
(fma.f64 (pow.f64 N -3) 1/3 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(+.f64 (*.f64 (pow.f64 N -3) 1/3) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(fma.f64 (pow.f64 N -3) 1/3 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(+.f64 (*.f64 (pow.f64 N -3) (pow.f64 N 2)) (+.f64 (*.f64 (pow.f64 N -3) (*.f64 N -1/2)) (*.f64 (pow.f64 N -3) 1/3)))
(+.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2)) (*.f64 1/3 (pow.f64 N -3)))
(*.f64 (pow.f64 N -3) (fma.f64 N (+.f64 N -1/2) 1/3))
(+.f64 (*.f64 (*.f64 (pow.f64 N -3) 1/3) 1) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
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(exp.f64 (+.f64 (log.f64 (*.f64 N (+.f64 N -1/2))) (*.f64 -3 (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 1))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(fma.f64 1 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))
(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)) (/.f64 1 (cbrt.f64 N)) (*.f64 -1/2 (pow.f64 N -2)))

eval476.0ms (4.1%)

Compiler

Compiled 13571 to 10401 computations (23.4% saved)

prune88.0ms (0.8%)

Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New5822584
Fresh011
Picked213
Done066
Total58410594
Accuracy
100.0%
Counts
594 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.0%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
49.9%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓51.8%
(/.f64 1 N)
✓51.7%
(-.f64 N (log.f64 N))
✓21.5%
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/3))
21.6%
(*.f64 (+.f64 N -1/2) (*.f64 N (pow.f64 N -3)))
✓53.9%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓50.5%
(neg.f64 (log.f64 N))
✓53.9%
(log.f64 (/.f64 (+.f64 N 1) N))
4.6%
N
Compiler

Compiled 233 to 146 computations (37.3% saved)

regimes31.0ms (0.3%)

Counts
18 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(*.f64 (+.f64 N -1/2) (*.f64 N (pow.f64 N -3)))
(*.f64 (pow.f64 N -3) (*.f64 N (+.f64 N -1/2)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 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 (pow.f64 N -3) (*.f64 N (+.f64 N -1/2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (exp.f64 (*.f64 2 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))))
Outputs
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
Calls

2 calls:

18.0ms
N
8.0ms
(-.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 172 to 104 computations (39.5% saved)

regimes27.0ms (0.2%)

Counts
15 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(*.f64 (+.f64 N -1/2) (*.f64 N (pow.f64 N -3)))
(*.f64 (pow.f64 N -3) (*.f64 N (+.f64 N -1/2)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -3) (+.f64 (*.f64 N (+.f64 N -1/2)) 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 (pow.f64 N -3) (*.f64 N (+.f64 N -1/2))))
Outputs
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
Calls

2 calls:

16.0ms
N
8.0ms
(-.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 116 to 77 computations (33.6% saved)

regimes12.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
Outputs
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
Calls

1 calls:

10.0ms
N
Results
AccuracySegmentsBranch
100.0%2N
Compiler

Compiled 36 to 22 computations (38.9% saved)

regimes58.0ms (0.5%)

Counts
6 → 2
Calls
Call 1
Inputs
N
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
Outputs
(-.f64 N (log.f64 N))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
Calls

1 calls:

57.0ms
N
Results
AccuracySegmentsBranch
99.2%2N
Compiler

Compiled 30 to 18 computations (40% saved)

regimes10.0ms (0.1%)

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

1 calls:

8.0ms
N
Results
AccuracySegmentsBranch
98.9%2N
Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes9.0ms (0.1%)

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

1 calls:

8.0ms
N
Results
AccuracySegmentsBranch
51.8%1N
Compiler

Compiled 23 to 15 computations (34.8% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

3.0ms
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
4.9315183048292965e-8
0.03626166362106842
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.9315183048292965e-8
0.03626166362106842
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch21.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
21.0ms
27.080355488847843
20277730.271918666
Results
19.0ms144×body256valid
Compiler

Compiled 165 to 126 computations (23.6% saved)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.0024628567661187893
14.384516556009185
Results
18.0ms128×body256valid
Compiler

Compiled 132 to 97 computations (26.5% saved)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
0.0024628567661187893
14.384516556009185
Results
16.0ms128×body256valid
Compiler

Compiled 124 to 97 computations (21.8% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
11×+-commutative
9×sub-neg
5×neg-mul-1
5×*-commutative
5×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048378
166378
281378
389378
493378
594378
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/18889465931478580854784) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/18889465931478580854784) (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 N 190000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 6124895493223875/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(/.f64 1 N)
N
Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/18889465931478580854784) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/18889465931478580854784) (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 N 190000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 6124895493223875/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(/.f64 1 N)
N
Compiler

Compiled 113 to 84 computations (25.7% saved)

soundness3.0s (25.6%)

Rules
3682×fma-def
913×associate-/r*
650×associate-*r*
650×associate-*r*
625×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01689
13071
24871
38071
414771
524971
653469
7111369
8201969
9334769
10370769
11373869
12376269
13376269
14585269
15652869
16688069
17688069
18740069
19758269
20772369
21777969
052714283
1163413709
2768913709
0921
19221
2117621
032277
1533267
27243267
0119832131
1316831592
052714283
1163413709
2768913709
052714283
1163413709
2768913709
032277
1533267
27243267
0119832131
1316831592
029176
1423150
25297150
089821365
1232520115
082022448
1243721833
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 702 to 515 computations (26.6% saved)

end0.0ms (0%)

preprocess83.0ms (0.7%)

Compiler

Compiled 230 to 162 computations (29.6% saved)

Profiling

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