2log (problem 3.3.6)

Time bar (total: 5.2s)

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)

sample1.9s (35.7%)

Results
757.0ms4945×body256valid
718.0ms2012×body1024valid
201.0ms259×body2048valid
184.0ms1040×body512valid
1.0ms10×body256invalid
Bogosity

preprocess20.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
132×fma-def
24×sub-neg
20×distribute-rgt-in
20×unsub-neg
18×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11415
21915
32715
43615
55315
69015
712615
817515
921015
1023615
1123815
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify17.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
132×fma-def
24×sub-neg
20×distribute-rgt-in
20×unsub-neg
18×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0921
11415
21915
32715
43615
55315
69015
712615
817515
921015
1023615
1123815
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))

eval0.0ms (0%)

Compiler

Compiled 13 to 8 computations (38.5% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Accurracy
57.0%
Counts
3 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶57.0%
(-.f64 (log1p.f64 N) (log.f64 N))
▶57.0%
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize42.0ms (0.8%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓57.0%
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 12 to 5 computations (58.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite68.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1512×pow1
1396×add-exp-log
1396×log1p-expm1-u
1396×expm1-log1p-u
1364×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
114415
2188715
Stop Event
1×node limit
Counts
1 → 35
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)) 1))
(+.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 (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 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 1 (-.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 (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) 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) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 1 (/.f64 (+.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 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.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 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (neg.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 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(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)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(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 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 1 (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)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))

simplify61.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1682×div-sub
1522×fma-neg
1100×fma-def
810×associate-*r*
718×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01261407
13361319
211011313
354461309
Stop Event
1×node limit
Counts
47 → 71
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 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.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 (*.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 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 (*.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)) 1))
(+.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 (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 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 1 (-.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 (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) 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) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 1 (/.f64 (+.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 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.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 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (neg.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 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(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)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(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 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 1 (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)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.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 (*.f64 N N))))
(+.f64 N (-.f64 (*.f64 N (*.f64 N -1/2)) (log.f64 N)))
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (*.f64 N N)))))
(+.f64 N (-.f64 (fma.f64 -1/2 (*.f64 N N) (*.f64 1/3 (pow.f64 N 3))) (log.f64 N)))
(+.f64 N (-.f64 (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))) (log.f64 N)))
(fma.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3)) (-.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 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.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 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 (/.f64 1/2 N) N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (/.f64 -1/2 N) N) (/.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 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.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 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 (/.f64 1/2 N) N))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (/.f64 -1/2 N) N) (/.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)) 1))
(-.f64 (log1p.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 (log1p.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 (log1p.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 (log1p.f64 N) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.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 (log1p.f64 N) (log.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 (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 (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 1 (+.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)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) 2)))
(*.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 1 (+.f64 (log.f64 N) (log1p.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 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(/.f64 1 (/.f64 (+.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 (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 (-.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)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) 2)))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(*.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) 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 (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 (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)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) 2)))
(/.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 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (neg.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 1 (+.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)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.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) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (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 (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)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(*.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) 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 (log1p.f64 N) (log.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(-.f64 (log1p.f64 N) (log.f64 N))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(-.f64 (log1p.f64 N) (log.f64 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 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 1 (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))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))

eval16.0ms (0.3%)

Compiler

Compiled 943 to 456 computations (51.6% saved)

prune17.0ms (0.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New64771
Fresh000
Picked101
Done000
Total65772
Accurracy
100.0%
Counts
72 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.1%
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
▶48.4%
(/.f64 1 N)
▶46.5%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶55.0%
(-.f64 N (log.f64 N))
47.1%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
▶54.1%
(neg.f64 (log.f64 N))
▶57.0%
(log.f64 (/.f64 (+.f64 N 1) N))
56.1%
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
▶48.4%
(/.f64 1 N)
▶46.5%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶55.0%
(-.f64 N (log.f64 N))
47.1%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
▶54.1%
(neg.f64 (log.f64 N))
▶57.0%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 220 to 160 computations (27.3% saved)

localize135.0ms (2.6%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(-.f64 N (log.f64 N))
✓100.0%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓99.8%
(/.f64 (/.f64 1/2 N) N)
✓57.0%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 59 to 33 computations (44.1% saved)

series10.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

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

rewrite109.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
1654×log-prod
1330×fma-def
600×expm1-udef
598×log1p-udef
536×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01560
134158
2514258
Stop Event
1×node limit
Counts
4 → 312
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (/.f64 1/2 N) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(-.f64 N (log.f64 N))
Outputs
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 N -1/2)) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
(+.f64 (log.f64 (fma.f64 -1 N -1)) (log.f64 (/.f64 1 (neg.f64 N))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2))) (log.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (*.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N))))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (sqrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N))))
(+.f64 (log.f64 (*.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 N -2)))) (log.f64 (/.f64 1 (cbrt.f64 N))))
(+.f64 (log.f64 (*.f64 (+.f64 N 1) (pow.f64 N -1/2))) (log.f64 (pow.f64 N -1/2)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (-.f64 (log.f64 N) (log1p.f64 N)))
(-.f64 (log.f64 (fma.f64 -1 N -1)) (log.f64 (neg.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.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 (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) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(neg.f64 (-.f64 (log.f64 N) (log1p.f64 N)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (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)))
(+.f64 0 (*.f64 1/2 (pow.f64 N -2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (exp.f64 (*.f64 1/2 (pow.f64 N -2)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 1/2 (pow.f64 N -2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/2 (pow.f64 N -2))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/2 (pow.f64 N -2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(*.f64 1 (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 (/.f64 1/2 N) (/.f64 1 N))
(*.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(*.f64 (/.f64 1 N) (/.f64 1/2 N))
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -2))) (*.f64 (cbrt.f64 (/.f64 1/2 N)) (/.f64 1 N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (/.f64 1/2 N) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))
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(fma.f64 (-.f64 N (/.f64 N (*.f64 N 2))) (pow.f64 N -2) (fma.f64 (/.f64 (/.f64 -1/2 N) N) 1 (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (-.f64 N (/.f64 N (*.f64 N 2))) (pow.f64 N -2) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (-.f64 N (/.f64 N (*.f64 N 2))) (pow.f64 N -2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 2) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (-.f64 N (/.f64 N (*.f64 N 2))) (pow.f64 N -2) (+.f64 (/.f64 (/.f64 -1/2 N) N) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (/.f64 -1/2 N) (/.f64 1 N) (/.f64 1 N))
(fma.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 (*.f64 N N) 3))) (/.f64 1 (fma.f64 (*.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N)) (pow.f64 N -2))) (fma.f64 (/.f64 (/.f64 -1/2 N) N) 1 (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 (*.f64 N N) 3))) (/.f64 1 (fma.f64 (*.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N)) (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 (*.f64 N N) 3))) (/.f64 1 (fma.f64 (*.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N)) (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 2) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 (*.f64 N N) 3))) (/.f64 1 (fma.f64 (*.f64 1/2 (pow.f64 N -2)) (fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N)) (pow.f64 N -2))) (+.f64 (/.f64 (/.f64 -1/2 N) N) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (/.f64 1 (fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N))) (fma.f64 (/.f64 (/.f64 -1/2 N) N) 1 (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (/.f64 1 (fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N))) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (/.f64 1 (fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 2) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (/.f64 1 (fma.f64 1/2 (pow.f64 N -2) (/.f64 1 N))) (+.f64 (/.f64 (/.f64 -1/2 N) N) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 N) N)) (cbrt.f64 (/.f64 (/.f64 -1/2 N) N))) (cbrt.f64 (/.f64 (/.f64 -1/2 N) N)) (/.f64 1 N))
(fma.f64 (sqrt.f64 (/.f64 (/.f64 -1/2 N) N)) (sqrt.f64 (/.f64 (/.f64 -1/2 N) N)) (/.f64 1 N))
(fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (/.f64 1 N))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 N) 2) -1) (pow.f64 (cbrt.f64 N) -1) (/.f64 (/.f64 -1/2 N) N))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 N) 2) -1) (pow.f64 (cbrt.f64 N) -1) (*.f64 (/.f64 (/.f64 -1/2 N) N) 1))
(fma.f64 (pow.f64 (sqrt.f64 N) -1) (pow.f64 (sqrt.f64 N) -1) (/.f64 (/.f64 -1/2 N) N))
(fma.f64 (pow.f64 (sqrt.f64 N) -1) (pow.f64 (sqrt.f64 N) -1) (*.f64 (/.f64 (/.f64 -1/2 N) N) 1))
(fma.f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (fma.f64 (/.f64 (/.f64 -1/2 N) N) 1 (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 2) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (+.f64 (/.f64 (/.f64 -1/2 N) N) (*.f64 1/2 (pow.f64 N -2))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 2)) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N))
(+.f64 N (neg.f64 (log.f64 N)))
(+.f64 N (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (-.f64 N (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(+.f64 0 (-.f64 N (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) N)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (exp.f64 N) N)) (cbrt.f64 (/.f64 (exp.f64 N) N)))) (log.f64 (cbrt.f64 (/.f64 (exp.f64 N) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (exp.f64 N) N))) (log.f64 (sqrt.f64 (/.f64 (exp.f64 N) N))))
(*.f64 1 (-.f64 N (log.f64 N)))
(*.f64 (-.f64 N (log.f64 N)) 1)
(*.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (cbrt.f64 (-.f64 N (log.f64 N))))
(*.f64 (sqrt.f64 (-.f64 N (log.f64 N))) (sqrt.f64 (-.f64 N (log.f64 N))))
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))))
(*.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N)) (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 N (log.f64 N)) (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N)))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (+.f64 N (log.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 N (log.f64 N))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (fma.f64 N N (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 N (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 N (neg.f64 (log.f64 N))))
(pow.f64 (-.f64 N (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 N (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 N (log.f64 N))) 2)
(sqrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2))
(log.f64 (/.f64 (exp.f64 N) N))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 N (log.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 N)) (/.f64 1 N)))
(log.f64 (*.f64 (/.f64 1 N) (exp.f64 N)))
(log.f64 (*.f64 (/.f64 1 N) (+.f64 1 (expm1.f64 N))))
(log.f64 (/.f64 (exp.f64 N) (+.f64 1 (+.f64 N -1))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 N)) N))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 N)) (+.f64 1 (+.f64 N -1))))
(cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 N (log.f64 N))))
(exp.f64 (log.f64 (-.f64 N (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 N (log.f64 N))) 1))
(log1p.f64 (expm1.f64 (-.f64 N (log.f64 N))))
(fma.f64 N 1 (neg.f64 (log.f64 N)))
(fma.f64 N 1 (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 1 N (neg.f64 (log.f64 N)))
(fma.f64 1 N (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 1 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 1 (-.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)))
(fma.f64 1 (-.f64 N (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 1 (neg.f64 (log.f64 N)) N)
(fma.f64 (-.f64 N (log.f64 N)) 1 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 N (log.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 N (log.f64 N)) 1 (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (cbrt.f64 (-.f64 N (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (cbrt.f64 (-.f64 N (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (cbrt.f64 (-.f64 N (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (cbrt.f64 (log.f64 N))) N)
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) 1) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) 1) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (sqrt.f64 (-.f64 N (log.f64 N))) (sqrt.f64 (-.f64 N (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 N (log.f64 N))) (sqrt.f64 (-.f64 N (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 N (log.f64 N))) (sqrt.f64 (-.f64 N (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) 1) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) 1) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 -1 (log.f64 N) N)
(fma.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.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)))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 N))) (cbrt.f64 (neg.f64 (log.f64 N)))) (cbrt.f64 (neg.f64 (log.f64 N))) N)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) N)
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) N)
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) N)

simplify201.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
1106×fma-neg
780×div-sub
576×fma-def
534×log-prod
376×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067512002
1164610644
2540310438
Stop Event
1×node limit
Counts
360 → 424
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 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.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 (*.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 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 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (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))))
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(fma.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (cbrt.f64 (-.f64 N (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (cbrt.f64 (-.f64 N (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) (cbrt.f64 (-.f64 N (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (cbrt.f64 (log.f64 N))) N)
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) 1) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) 1) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (sqrt.f64 (-.f64 N (log.f64 N))) (sqrt.f64 (-.f64 N (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 N (log.f64 N))) (sqrt.f64 (-.f64 N (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 N (log.f64 N))) (sqrt.f64 (-.f64 N (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) 1) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) 1) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 -1 (log.f64 N) N)
(fma.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.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)))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 N))) (cbrt.f64 (neg.f64 (log.f64 N)))) (cbrt.f64 (neg.f64 (log.f64 N))) N)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) N)
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) N)
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) 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 (*.f64 N N)))
(+.f64 N (-.f64 (*.f64 N (*.f64 N -1/2)) (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (*.f64 N N))))
(+.f64 (fma.f64 1/3 (pow.f64 N 3) (*.f64 N (*.f64 N -1/2))) (-.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 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 1/4 (pow.f64 N 4)))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))) (/.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 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 1/4 (pow.f64 N 4)))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2))) (/.f64 1/4 (pow.f64 N 4)))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (*.f64 N N))
(*.f64 1/2 (pow.f64 N -2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N 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 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(-.f64 N (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(-.f64 N (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(-.f64 N (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log.f64 (pow.f64 N -1/2)) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
(+.f64 (*.f64 -1/2 (log.f64 N)) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
(fma.f64 -1/2 (log.f64 N) (-.f64 (log1p.f64 N) (log.f64 (sqrt.f64 N))))
(+.f64 (log.f64 (fma.f64 -1 N -1)) (log.f64 (/.f64 1 (neg.f64 N))))
(-.f64 (log.f64 (fma.f64 -1 N -1)) (log.f64 (neg.f64 N)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2))) (log.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2))) (log.f64 (*.f64 (/.f64 1 N) (cbrt.f64 (+.f64 N 1)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (*.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) 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 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N))))
(+.f64 (neg.f64 (log.f64 (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N))))
(-.f64 (-.f64 (log1p.f64 N) (log.f64 (cbrt.f64 N))) (*.f64 2 (log.f64 (cbrt.f64 N))))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2))) (log.f64 (*.f64 (/.f64 1 N) (cbrt.f64 (+.f64 N 1)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (pow.f64 (cbrt.f64 N) 2))))
(+.f64 (log.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 2)) (sqrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N))))
(+.f64 (log.f64 (*.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 N -2)))) (log.f64 (/.f64 1 (cbrt.f64 N))))
(+.f64 (log.f64 (*.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 N -2)))) (neg.f64 (log.f64 (cbrt.f64 N))))
(-.f64 (+.f64 (log1p.f64 N) (log.f64 (cbrt.f64 (pow.f64 N -2)))) (log.f64 (cbrt.f64 N)))
(+.f64 (log.f64 (*.f64 (+.f64 N 1) (pow.f64 N -1/2))) (log.f64 (pow.f64 N -1/2)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (-.f64 (log.f64 N) (log1p.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (fma.f64 -1 N -1)) (log.f64 (neg.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
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(+.f64 (*.f64 0 (log.f64 N)) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))))
(fma.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))) (+.f64 (log.f64 N) (neg.f64 (log.f64 N))))
(+.f64 (*.f64 0 (log.f64 N)) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))))
(fma.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))) (+.f64 (log.f64 N) (neg.f64 (log.f64 N))))
(+.f64 (*.f64 0 (log.f64 N)) (/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))) (+.f64 (log.f64 N) (neg.f64 (log.f64 N))))
(+.f64 (*.f64 0 (log.f64 N)) (/.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (+.f64 N (log.f64 N))))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.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)))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))) (+.f64 (log.f64 N) (neg.f64 (log.f64 N))))
(+.f64 (*.f64 0 (log.f64 N)) (/.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (+.f64 N (log.f64 N))))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))) (+.f64 (log.f64 N) (neg.f64 (log.f64 N))))
(+.f64 (*.f64 0 (log.f64 N)) (/.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (+.f64 N (log.f64 N))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 N))) (cbrt.f64 (neg.f64 (log.f64 N)))) (cbrt.f64 (neg.f64 (log.f64 N))) N)
(-.f64 N (log.f64 N))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) N)
(-.f64 N (log.f64 N))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) N)
(-.f64 N (log.f64 N))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (+.f64 (log.f64 N) (neg.f64 (log.f64 N))))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (*.f64 0 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (+.f64 (log.f64 N) (neg.f64 (log.f64 N))))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (*.f64 0 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (+.f64 (log.f64 N) (neg.f64 (log.f64 N))))
(fma.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (*.f64 0 (log.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) N)
(-.f64 N (log.f64 N))

eval135.0ms (2.6%)

Compiler

Compiled 6785 to 4284 computations (36.9% saved)

prune62.0ms (1.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New4204424
Fresh112
Picked145
Done000
Total4229431
Accurracy
100.0%
Counts
431 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶56.1%
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
▶46.5%
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
▶27.6%
(/.f64 1 (/.f64 (*.f64 N N) (-.f64 N (/.f64 N (*.f64 N 2)))))
✓48.4%
(/.f64 1 N)
✓55.0%
(-.f64 N (log.f64 N))
▶47.1%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
✓54.1%
(neg.f64 (log.f64 N))
✓57.0%
(log.f64 (/.f64 (+.f64 N 1) N))
4.4%
N
▶56.1%
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
▶46.5%
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
▶27.6%
(/.f64 1 (/.f64 (*.f64 N N) (-.f64 N (/.f64 N (*.f64 N 2)))))
✓48.4%
(/.f64 1 N)
✓55.0%
(-.f64 N (log.f64 N))
▶47.1%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
✓54.1%
(neg.f64 (log.f64 N))
✓57.0%
(log.f64 (/.f64 (+.f64 N 1) N))
4.4%
N
Compiler

Compiled 134 to 96 computations (28.4% saved)

localize225.0ms (4.3%)

Local Accuracy

Found 10 expressions with local accuracy:

NewAccuracyProgram
✓99.2%
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
✓98.9%
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
57.0%
(-.f64 (log1p.f64 N) (log.f64 N))
✓99.9%
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
✓99.9%
(/.f64 1 (/.f64 (*.f64 N N) (-.f64 N (/.f64 N (*.f64 N 2)))))
✓99.6%
(/.f64 N (*.f64 N 2))
✓81.1%
(/.f64 (*.f64 N N) (-.f64 N (/.f64 N (*.f64 N 2))))
✓99.9%
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
✓99.4%
(/.f64 1/3 (pow.f64 N 3))
✓75.7%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
Compiler

Compiled 131 to 77 computations (41.2% saved)

series12.0ms (0.2%)

Counts
9 → 80
Calls

27 calls:

TimeVariablePointExpression
4.0ms
N
@0
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
1.0ms
N
@inf
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
1.0ms
N
@0
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
1.0ms
N
@-inf
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
0.0ms
N
@0
(/.f64 1/3 (pow.f64 N 3))

rewrite88.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
582×add-sqr-sqrt
562×pow1
556×*-un-lft-identity
550×add-exp-log
550×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026203
1603157
Stop Event
1×node limit
Counts
9 → 279
Calls
Call 1
Inputs
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (*.f64 N N) (-.f64 N (/.f64 N (*.f64 N 2))))
(/.f64 N (*.f64 N 2))
(/.f64 1 (/.f64 (*.f64 N N) (-.f64 N (/.f64 N (*.f64 N 2)))))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))) 1)
(-.f64 (/.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (/.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(*.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(*.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(*.f64 (fma.f64 1/3 N (*.f64 (pow.f64 N 3) (+.f64 1 (/.f64 -1/2 N)))) (/.f64 1 (pow.f64 N 4)))
(*.f64 (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3)) (/.f64 1 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1/3 (pow.f64 N -3)))))))
(*.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2)) (/.f64 1 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(/.f64 1 (/.f64 (pow.f64 N 4) (fma.f64 1/3 N (*.f64 (pow.f64 N 3) (+.f64 1 (/.f64 -1/2 N))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1/3 (pow.f64 N -3))))) (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))))
(/.f64 (fma.f64 1/3 N (*.f64 (pow.f64 N 3) (+.f64 1 (/.f64 -1/2 N)))) (pow.f64 N 4))
(/.f64 (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1/3 (pow.f64 N -3))))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(/.f64 (+.f64 (*.f64 1/3 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))) (*.f64 (pow.f64 N 3) 1)) (*.f64 (pow.f64 N 3) (/.f64 N (+.f64 1 (/.f64 -1/2 N)))))
(/.f64 (+.f64 (*.f64 1/3 (neg.f64 N)) (*.f64 (pow.f64 N 3) (+.f64 -1 (neg.f64 (/.f64 -1/2 N))))) (*.f64 (pow.f64 N 3) (neg.f64 N)))
(/.f64 (+.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) (*.f64 (*.f64 (pow.f64 N 3) 3) 1)) (*.f64 (*.f64 (pow.f64 N 3) 3) (/.f64 N (+.f64 1 (/.f64 -1/2 N)))))
(/.f64 (+.f64 N (*.f64 (*.f64 (pow.f64 N 3) 3) (+.f64 1 (/.f64 -1/2 N)))) (*.f64 (*.f64 (pow.f64 N 3) 3) N))
(/.f64 (+.f64 (neg.f64 N) (*.f64 (*.f64 (pow.f64 N 3) 3) (+.f64 -1 (neg.f64 (/.f64 -1/2 N))))) (*.f64 (*.f64 (pow.f64 N 3) 3) (neg.f64 N)))
(/.f64 (+.f64 (*.f64 -1/3 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))) (*.f64 (neg.f64 (pow.f64 N 3)) 1)) (*.f64 (neg.f64 (pow.f64 N 3)) (/.f64 N (+.f64 1 (/.f64 -1/2 N)))))
(/.f64 (+.f64 (*.f64 -1/3 N) (*.f64 (neg.f64 (pow.f64 N 3)) (+.f64 1 (/.f64 -1/2 N)))) (*.f64 (neg.f64 (pow.f64 N 3)) N))
(/.f64 (+.f64 (*.f64 -1/3 (neg.f64 N)) (*.f64 (neg.f64 (pow.f64 N 3)) (+.f64 -1 (neg.f64 (/.f64 -1/2 N))))) (*.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 N)))
(/.f64 (+.f64 (pow.f64 N 3) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) 1/3)) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) (pow.f64 N 3)))
(/.f64 (+.f64 (*.f64 (pow.f64 N 3) 3) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) 1)) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) (*.f64 (pow.f64 N 3) 3)))
(/.f64 (+.f64 (neg.f64 (pow.f64 N 3)) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) -1/3)) (*.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) (neg.f64 (pow.f64 N 3))))
(/.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 N 3)) (*.f64 N 1/3)) (pow.f64 N 4))
(/.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (*.f64 (pow.f64 N 3) 3)) (*.f64 N 1)) (*.f64 N (*.f64 (pow.f64 N 3) 3)))
(/.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (neg.f64 (pow.f64 N 3))) (*.f64 N -1/3)) (*.f64 N (neg.f64 (pow.f64 N 3))))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (neg.f64 (/.f64 -1/2 N))) (pow.f64 N 3)) (*.f64 (neg.f64 N) 1/3)) (*.f64 (neg.f64 N) (pow.f64 N 3)))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (neg.f64 (/.f64 -1/2 N))) (*.f64 (pow.f64 N 3) 3)) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (*.f64 (pow.f64 N 3) 3)))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (neg.f64 (/.f64 -1/2 N))) (neg.f64 (pow.f64 N 3))) (*.f64 (neg.f64 N) -1/3)) (*.f64 (neg.f64 N) (neg.f64 (pow.f64 N 3))))
(/.f64 (neg.f64 (fma.f64 1/3 N (*.f64 (pow.f64 N 3) (+.f64 1 (/.f64 -1/2 N))))) (neg.f64 (pow.f64 N 4)))
(/.f64 (neg.f64 (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))) (neg.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1/3 (pow.f64 N -3)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))) (neg.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (+.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1/3 (pow.f64 N -3))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2) (/.f64 1/9 (pow.f64 N 6))) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1/3 (pow.f64 N -3))))
(pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(fma.f64 1 (*.f64 1/3 (pow.f64 N -3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(fma.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (+.f64 1 (/.f64 -1/2 N)) (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))
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(*.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 (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 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))
(*.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 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) 3) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) 3) (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) 3))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (*.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))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6))
(/.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 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.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) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (neg.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 (log.f64 N) (log1p.f64 N))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 1 N) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 1 N) 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 1 N) N) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (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)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(*.f64 1 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (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 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(/.f64 (cbrt.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 (log.f64 N) (log1p.f64 N))))))
(/.f64 (cbrt.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 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))

simplify166.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
1042×associate-*r*
1020×associate-*l*
726×fma-neg
708×log-prod
670×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
076714015
1202713421
2754513419
Stop Event
1×node limit
Counts
359 → 386
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 1/3 (/.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 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 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 -1/2 (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 -2 (pow.f64 N 2))
(+.f64 (*.f64 -4 (pow.f64 N 3)) (*.f64 -2 (pow.f64 N 2)))
(+.f64 (*.f64 -4 (pow.f64 N 3)) (+.f64 (*.f64 -2 (pow.f64 N 2)) (*.f64 -8 (pow.f64 N 4))))
(+.f64 (*.f64 -4 (pow.f64 N 3)) (+.f64 (*.f64 -2 (pow.f64 N 2)) (+.f64 (*.f64 -16 (pow.f64 N 5)) (*.f64 -8 (pow.f64 N 4)))))
N
(+.f64 N 1/2)
(+.f64 N (+.f64 1/2 (*.f64 1/4 (/.f64 1 N))))
(+.f64 N (+.f64 1/2 (+.f64 (*.f64 1/4 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))))
N
(+.f64 N 1/2)
(+.f64 N (+.f64 1/2 (*.f64 1/4 (/.f64 1 N))))
(+.f64 N (+.f64 1/2 (+.f64 (*.f64 1/4 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))))
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
(/.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 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(*.f64 -1 (*.f64 (log.f64 N) (pow.f64 1 1/3)))
(+.f64 (*.f64 N (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (*.f64 -1 (*.f64 (log.f64 N) (pow.f64 1 1/3))))
(+.f64 (*.f64 (pow.f64 N 2) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 N) 1) 1/3) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))) (+.f64 (*.f64 N (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (*.f64 -1 (*.f64 (log.f64 N) (pow.f64 1 1/3)))))
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(*.f64 (pow.f64 (*.f64 (log.f64 N) 1) 1/3) (cbrt.f64 -1))
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(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.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) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (neg.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 (log.f64 N) (log1p.f64 N))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 1 N) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 1 N) 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 1 N) N) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (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)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(*.f64 1 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (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 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(/.f64 (cbrt.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 (log.f64 N) (log1p.f64 N))))))
(/.f64 (cbrt.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 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
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 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 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 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 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 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 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 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 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 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 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 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 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 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 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 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 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 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 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 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 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 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(*.f64 -2 (pow.f64 N 2))
(*.f64 -2 (*.f64 N N))
(*.f64 N (*.f64 N -2))
(+.f64 (*.f64 -4 (pow.f64 N 3)) (*.f64 -2 (pow.f64 N 2)))
(fma.f64 -4 (pow.f64 N 3) (*.f64 -2 (*.f64 N N)))
(fma.f64 (pow.f64 N 3) -4 (*.f64 N (*.f64 N -2)))
(+.f64 (*.f64 -4 (pow.f64 N 3)) (+.f64 (*.f64 -2 (pow.f64 N 2)) (*.f64 -8 (pow.f64 N 4))))
(fma.f64 -4 (pow.f64 N 3) (fma.f64 -2 (*.f64 N N) (*.f64 -8 (pow.f64 N 4))))
(fma.f64 (pow.f64 N 3) -4 (fma.f64 -8 (pow.f64 N 4) (*.f64 N (*.f64 N -2))))
(+.f64 (*.f64 -4 (pow.f64 N 3)) (+.f64 (*.f64 -2 (pow.f64 N 2)) (+.f64 (*.f64 -16 (pow.f64 N 5)) (*.f64 -8 (pow.f64 N 4)))))
(fma.f64 -4 (pow.f64 N 3) (fma.f64 -2 (*.f64 N N) (fma.f64 -16 (pow.f64 N 5) (*.f64 -8 (pow.f64 N 4)))))
(fma.f64 (pow.f64 N 3) -4 (fma.f64 -2 (*.f64 N N) (fma.f64 -8 (pow.f64 N 4) (*.f64 -16 (pow.f64 N 5)))))
N
(+.f64 N 1/2)
(+.f64 N (+.f64 1/2 (*.f64 1/4 (/.f64 1 N))))
(+.f64 N (+.f64 1/2 (/.f64 1/4 N)))
(+.f64 N (+.f64 1/2 (+.f64 (*.f64 1/4 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))))
(+.f64 N (+.f64 1/2 (+.f64 (/.f64 1/4 N) (/.f64 1/8 (*.f64 N N)))))
(+.f64 N (+.f64 (+.f64 1/2 (/.f64 1/4 N)) (/.f64 1/8 (*.f64 N N))))
N
(+.f64 N 1/2)
(+.f64 N (+.f64 1/2 (*.f64 1/4 (/.f64 1 N))))
(+.f64 N (+.f64 1/2 (/.f64 1/4 N)))
(+.f64 N (+.f64 1/2 (+.f64 (*.f64 1/4 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))))
(+.f64 N (+.f64 1/2 (+.f64 (/.f64 1/4 N) (/.f64 1/8 (*.f64 N N)))))
(+.f64 N (+.f64 (+.f64 1/2 (/.f64 1/4 N)) (/.f64 1/8 (*.f64 N N))))
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 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 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 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 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (*.f64 N N))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 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 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 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 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(*.f64 -1 (*.f64 (log.f64 N) (pow.f64 1 1/3)))
(neg.f64 (log.f64 N))
(+.f64 (*.f64 N (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (*.f64 -1 (*.f64 (log.f64 N) (pow.f64 1 1/3))))
(fma.f64 N (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) (neg.f64 (log.f64 N)))
(fma.f64 N (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (neg.f64 (log.f64 N)))
(+.f64 (*.f64 (pow.f64 N 2) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 N) 1) 1/3) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))) (+.f64 (*.f64 N (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (*.f64 -1 (*.f64 (log.f64 N) (pow.f64 1 1/3)))))
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(/.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)))
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(/.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)))))
(/.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)))
(/.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 (neg.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 (log.f64 N) (log1p.f64 N))))))
(*.f64 1 (/.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))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (fma.f64 -1 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (-.f64 (neg.f64 (log.f64 N)) (log1p.f64 N)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (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)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.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 1 N) N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 1 N) N) 1)))
(log1p.f64 (+.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))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 N) N) 1))
(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 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.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))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 1 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (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 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (cbrt.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 (log.f64 N) (log1p.f64 N))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (cbrt.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) 2)
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(fabs.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))

eval208.0ms (4%)

Compiler

Compiled 10823 to 7693 computations (28.9% saved)

prune66.0ms (1.3%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New4982500
Fresh011
Picked314
Done044
Total5018509
Accurracy
100.0%
Counts
509 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶56.1%
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 3)
▶53.8%
(/.f64 1 (+.f64 N 1/2))
✓48.4%
(/.f64 1 N)
✓55.0%
(-.f64 N (log.f64 N))
✓47.1%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
✓54.1%
(neg.f64 (log.f64 N))
✓57.0%
(log.f64 (/.f64 (+.f64 N 1) N))
4.4%
N
▶56.1%
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 3)
▶53.8%
(/.f64 1 (+.f64 N 1/2))
✓48.4%
(/.f64 1 N)
✓55.0%
(-.f64 N (log.f64 N))
✓47.1%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
✓54.1%
(neg.f64 (log.f64 N))
✓57.0%
(log.f64 (/.f64 (+.f64 N 1) N))
4.4%
N
Compiler

Compiled 104 to 78 computations (25% saved)

localize205.0ms (3.9%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.2%
(cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N)))
✓98.9%
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 3)
57.0%
(log.f64 (/.f64 (+.f64 N 1) N))
✓100.0%
(/.f64 1 (+.f64 N 1/2))
Compiler

Compiled 46 to 33 computations (28.3% saved)

series3.0ms (0.1%)

Counts
3 → 20
Calls

9 calls:

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

rewrite81.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1188×log-prod
718×pow-prod-down
614×pow-prod-up
602×pow-exp
476×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01451
130647
2365147
Stop Event
1×node limit
Counts
3 → 145
Calls
Call 1
Inputs
(/.f64 1 (+.f64 N 1/2))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 3)
(cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N)))
Outputs
(+.f64 0 (/.f64 1 (+.f64 N 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 N 1/2)))) 1)
(*.f64 1 (/.f64 1 (+.f64 N 1/2)))
(*.f64 (/.f64 1 (+.f64 N 1/2)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 N 1/2))) (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)) (/.f64 1 (cbrt.f64 (+.f64 N 1/2))))
(*.f64 (pow.f64 (+.f64 N 1/2) -1/2) (pow.f64 (+.f64 N 1/2) -1/2))
(*.f64 -1 (/.f64 1 (fma.f64 -1 N -1/2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2)) (/.f64 1 (cbrt.f64 (+.f64 N 1/2))))
(*.f64 (/.f64 1 (+.f64 1/8 (pow.f64 N 3))) (-.f64 (fma.f64 N N 1/4) (*.f64 N 1/2)))
(*.f64 (/.f64 1 (fma.f64 N N -1/4)) (+.f64 N -1/2))
(pow.f64 (+.f64 N 1/2) -1)
(pow.f64 (/.f64 1 (+.f64 N 1/2)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 N 1/2))) 3)
(pow.f64 (pow.f64 (+.f64 N 1/2) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 N 1/2) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 N 1/2) -3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 N 1/2)) -2)
(pow.f64 (pow.f64 (+.f64 N 1/2) -1/2) 2)
(pow.f64 (neg.f64 (fma.f64 -1 N -1/2)) -1)
(sqrt.f64 (pow.f64 (+.f64 N 1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 N 1/2)))))
(cbrt.f64 (pow.f64 (+.f64 N 1/2) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 N 1/2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 N 1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 N 1/2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 N 1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 N 1/2)) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 N 1/2)) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 N 1/2))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 N 1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 N 1/2) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 N 1/2))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 N 1/2))))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 0)
(+.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 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 N (+.f64 1 N)) -2))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 N))) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 N)) (/.f64 1 N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 N) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 N) N))))
(+.f64 (log.f64 (fma.f64 -1 N -1)) (log.f64 (/.f64 1 (neg.f64 N))))
(+.f64 (*.f64 1/2 (log1p.f64 N)) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 N)) (/.f64 1 N))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 N (+.f64 1 N)) -2))) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (log.f64 N)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (log.f64 N))) (*.f64 (cbrt.f64 (log.f64 N)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (log.f64 N))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (log.f64 N)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (log.f64 N))) (*.f64 (cbrt.f64 (log.f64 N)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (log.f64 N))))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (*.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 N)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (log.f64 N)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (log.f64 N))) (*.f64 (cbrt.f64 (log.f64 N)) (*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (log.f64 N))))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (+.f64 1 N) (cbrt.f64 N))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 N)) N)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (pow.f64 (cbrt.f64 N) 2))) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (sqrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 N)) (sqrt.f64 N))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 N)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 N)) N)))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 N)) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 N)) (cbrt.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (-.f64 (log.f64 N) (log1p.f64 N)))
(-.f64 0 (log.f64 (/.f64 (/.f64 N (+.f64 1 N)) 1)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (*.f64 N (-.f64 (fma.f64 N N 1) N))))
(-.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 N))) (log.f64 (/.f64 N (cbrt.f64 (+.f64 1 N)))))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (*.f64 N (+.f64 N -1))))
(-.f64 (log.f64 (fma.f64 -1 N -1)) (log.f64 (neg.f64 N)))
(-.f64 (*.f64 1/2 (log1p.f64 N)) (log.f64 (/.f64 N (sqrt.f64 (+.f64 1 N)))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 N (+.f64 1 N)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N))) (log.f64 (sqrt.f64 N)))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) 1)) (log.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) N)))
(-.f64 (log.f64 (*.f64 (fma.f64 N N -1) 1)) (log.f64 (*.f64 (+.f64 N -1) N)))
(-.f64 (log.f64 (neg.f64 (fma.f64 -1 N -1))) (log.f64 (neg.f64 (neg.f64 N))))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 1 N))) (log.f64 (-.f64 (fma.f64 N N 1) N)))
(-.f64 (log.f64 (*.f64 (fma.f64 N N -1) (/.f64 1 N))) (log.f64 (+.f64 N -1)))
(-.f64 (log.f64 (/.f64 (+.f64 1 N) 1)) (log.f64 N))
(-.f64 (log.f64 (/.f64 (+.f64 1 N) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (cbrt.f64 N)))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(*.f64 3 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 5/6))
(*.f64 -1 (-.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 1/3 (*.f64 3 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 N) N))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 1) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 5/6) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6))
(/.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 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(neg.f64 (-.f64 (log.f64 N) (log1p.f64 N)))
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 1 N)) 1)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 1 N) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 1 N) 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))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1) 3))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3/2) 2))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 N) N) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (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)))
(+.f64 0 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(*.f64 1 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6))
(*.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3)) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) 1/6)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2/3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))

simplify143.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
904×times-frac
736×unswap-sqr
640×fma-neg
604×associate-*r*
564×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05426987
113476767
244486757
Stop Event
1×node limit
Counts
165 → 233
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -4 N))
(+.f64 (*.f64 8 (pow.f64 N 2)) (+.f64 2 (*.f64 -4 N)))
(+.f64 (*.f64 8 (pow.f64 N 2)) (+.f64 2 (+.f64 (*.f64 -4 N) (*.f64 -16 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/8 (/.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 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(*.f64 -1 (*.f64 (log.f64 N) (pow.f64 1 1/3)))
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(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 N) N))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 1) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 5/6) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6))
(/.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 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(neg.f64 (-.f64 (log.f64 N) (log1p.f64 N)))
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 1 N)) 1)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 1 N) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 1 N) 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))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1) 3))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3/2) 2))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 N) N) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (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)))
(+.f64 0 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(*.f64 1 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6))
(*.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3)) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) 1/6)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2/3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
Outputs
2
(+.f64 2 (*.f64 -4 N))
(fma.f64 -4 N 2)
(+.f64 (*.f64 8 (pow.f64 N 2)) (+.f64 2 (*.f64 -4 N)))
(fma.f64 8 (*.f64 N N) (+.f64 2 (*.f64 -4 N)))
(fma.f64 8 (*.f64 N N) (fma.f64 -4 N 2))
(+.f64 (*.f64 8 (pow.f64 N 2)) (+.f64 2 (+.f64 (*.f64 -4 N) (*.f64 -16 (pow.f64 N 3)))))
(fma.f64 8 (*.f64 N N) (+.f64 2 (fma.f64 -4 N (*.f64 -16 (pow.f64 N 3)))))
(+.f64 (fma.f64 8 (*.f64 N N) (fma.f64 -4 N 2)) (*.f64 -16 (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 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/8 (pow.f64 N 4))))
(-.f64 (+.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/8 (pow.f64 N 4)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 1/8 (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 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (/.f64 -1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/8 (pow.f64 N 4))))
(-.f64 (+.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/8 (pow.f64 N 4)))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 1/8 (pow.f64 N 4)))))
(*.f64 -1 (*.f64 (log.f64 N) (pow.f64 1 1/3)))
(neg.f64 (log.f64 N))
(+.f64 (*.f64 N (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (*.f64 -1 (*.f64 (log.f64 N) (pow.f64 1 1/3))))
(fma.f64 N (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) (neg.f64 (log.f64 N)))
(-.f64 (*.f64 N (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))) (log.f64 N))
(fma.f64 N (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))))) (neg.f64 (log.f64 N)))
(+.f64 (*.f64 (pow.f64 N 2) (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 N) 1) 1/3) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/3) (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 N) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 N)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))))) (+.f64 (*.f64 N (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 N) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (*.f64 -1 (*.f64 (log.f64 N) (pow.f64 1 1/3)))))
(fma.f64 (*.f64 N N) (fma.f64 (cbrt.f64 (log.f64 N)) (*.f64 (cbrt.f64 -1) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 N))) (/.f64 (+.f64 1/2 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 -1))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (*.f64 -1/3 (+.f64 1/2 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))))) (fma.f64 N (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) (neg.f64 (log.f64 N))))
(-.f64 (fma.f64 (*.f64 N N) (fma.f64 (cbrt.f64 (log.f64 N)) (*.f64 (cbrt.f64 -1) (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (*.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 N))) (/.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (cbrt.f64 -1)))))) (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 2/9 (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) -1/3))) (*.f64 N (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (pow.f64 (pow.f64 (log.f64 N) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))))) (log.f64 N))
(-.f64 (fma.f64 (*.f64 N N) (fma.f64 (cbrt.f64 (log.f64 N)) (*.f64 (cbrt.f64 -1) (fma.f64 -2/3 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 N))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2)) (cbrt.f64 -1)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 -1 (cbrt.f64 -1)))) 1/9)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 2/9 (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/18) (pow.f64 (/.f64 1 (log.f64 N)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) -1/3))) (*.f64 N (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (*.f64 (pow.f64 (pow.f64 (log.f64 N) 4) 1/18) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))))))) (log.f64 N))
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(-.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 N))) (log.f64 (/.f64 N (cbrt.f64 (+.f64 1 N)))))
(-.f64 (*.f64 2/3 (log1p.f64 N)) (log.f64 (/.f64 N (cbrt.f64 (+.f64 N 1)))))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (*.f64 N (+.f64 N -1))))
(-.f64 (log.f64 (fma.f64 -1 N -1)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (-.f64 -1 N)) (log.f64 (neg.f64 N)))
(-.f64 (*.f64 1/2 (log1p.f64 N)) (log.f64 (/.f64 N (sqrt.f64 (+.f64 1 N)))))
(-.f64 (*.f64 1/2 (log1p.f64 N)) (log.f64 (/.f64 N (sqrt.f64 (+.f64 N 1)))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 N (+.f64 1 N)))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 (neg.f64 N) (+.f64 N 1))))
(-.f64 (log.f64 -1) (-.f64 (log.f64 (neg.f64 N)) (log1p.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (/.f64 (+.f64 1 N) (sqrt.f64 N))) (log.f64 (sqrt.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) 1)) (log.f64 (*.f64 (-.f64 (fma.f64 N N 1) N) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (*.f64 N (-.f64 (fma.f64 N N 1) N))))
(-.f64 (log.f64 (*.f64 (fma.f64 N N -1) 1)) (log.f64 (*.f64 (+.f64 N -1) N)))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (*.f64 N (+.f64 N -1))))
(-.f64 (log.f64 (neg.f64 (fma.f64 -1 N -1))) (log.f64 (neg.f64 (neg.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 1 N))) (log.f64 (-.f64 (fma.f64 N N 1) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (*.f64 N (-.f64 (fma.f64 N N 1) N))))
(-.f64 (log.f64 (*.f64 (fma.f64 N N -1) (/.f64 1 N))) (log.f64 (+.f64 N -1)))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (*.f64 N (+.f64 N -1))))
(-.f64 (log.f64 (/.f64 (+.f64 1 N) 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (/.f64 (+.f64 1 N) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (cbrt.f64 N)))
(-.f64 (log.f64 (/.f64 (+.f64 N 1) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (cbrt.f64 N)))
(-.f64 (log1p.f64 N) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 N))) (log.f64 (cbrt.f64 N))))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(*.f64 3 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (cbrt.f64 (cbrt.f64 (-.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 (log1p.f64 N) (log.f64 N))
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 5/6))
(*.f64 -1 (-.f64 (log.f64 N) (log1p.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 1/3 (*.f64 3 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 N) N))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 1) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 2) (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 (*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (cbrt.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 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 4) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 8))
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 5/6) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6))
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 5/6))
(/.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 (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)))))
(/.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)))
(neg.f64 (-.f64 (log.f64 N) (log1p.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 1 N)) 1)))
(-.f64 (log1p.f64 N) (log.f64 N))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (/.f64 (+.f64 1 N) N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 1 N) N) 1)))
(-.f64 (log1p.f64 N) (log.f64 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))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3/2))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3/2) 2))
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 N) N) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (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))
(+.f64 0 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 1 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3)) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3)))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3)
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) 1/2)
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) 1/6)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2/3)
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) 2)
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) 1/3))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1/3) 1))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1) 1))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 3))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))

eval177.0ms (3.4%)

Compiler

Compiled 7691 to 5373 computations (30.1% saved)

prune52.0ms (1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New3151316
Fresh101
Picked022
Done055
Total3168324
Accurracy
100.0%
Counts
324 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓56.1%
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 3)
✓53.8%
(/.f64 1 (+.f64 N 1/2))
✓48.4%
(/.f64 1 N)
✓55.0%
(-.f64 N (log.f64 N))
✓47.1%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
✓54.1%
(neg.f64 (log.f64 N))
✓57.0%
(log.f64 (/.f64 (+.f64 N 1) N))
10.2%
2
Compiler

Compiled 162 to 110 computations (32.1% saved)

regimes41.0ms (0.8%)

Counts
16 → 2
Calls
Call 1
Inputs
2
N
(/.f64 1 N)
(/.f64 1 (+.f64 N 1/2))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 (/.f64 (*.f64 N N) (-.f64 N (/.f64 N (*.f64 N 2)))))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
Outputs
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(log.f64 (/.f64 (+.f64 N 1) N))
Calls

2 calls:

31.0ms
N
7.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
100.0%2N
100.0%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 120 to 77 computations (35.8% saved)

regimes14.0ms (0.3%)

Counts
10 → 2
Calls
Call 1
Inputs
2
N
(/.f64 1 N)
(/.f64 1 (+.f64 N 1/2))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 (/.f64 (*.f64 N N) (-.f64 N (/.f64 N (*.f64 N 2)))))
(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 1 (+.f64 N 1/2))
Calls

1 calls:

10.0ms
N
Results
AccuracySegmentsBranch
100.0%2N
Compiler

Compiled 55 to 35 computations (36.4% saved)

regimes12.0ms (0.2%)

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

1 calls:

10.0ms
N
Results
AccuracySegmentsBranch
99.3%2N
Compiler

Compiled 49 to 31 computations (36.7% saved)

regimes12.0ms (0.2%)

Counts
8 → 2
Calls
Call 1
Inputs
2
N
(/.f64 1 N)
(/.f64 1 (+.f64 N 1/2))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 (/.f64 (*.f64 N N) (-.f64 N (/.f64 N (*.f64 N 2)))))
(neg.f64 (log.f64 N))
Outputs
(neg.f64 (log.f64 N))
(/.f64 1 (+.f64 N 1/2))
Calls

1 calls:

10.0ms
N
Results
AccuracySegmentsBranch
99.2%2N
Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes6.0ms (0.1%)

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

1 calls:

4.0ms
N
Results
AccuracySegmentsBranch
53.8%1N
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes7.0ms (0.1%)

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

1 calls:

6.0ms
N
Results
AccuracySegmentsBranch
53.4%2N
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes26.0ms (0.5%)

Accuracy

Total -3.7b remaining (-6.4%)

Threshold costs -3.7b (-6.4%)

Counts
2 → 1
Calls
Call 1
Inputs
2
N
Outputs
2
Calls

1 calls:

25.0ms
N
Results
AccuracySegmentsBranch
10.2%1N
Compiler

Compiled 5 to 3 computations (40% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.4601872539165015e-7
1.4415260934173042
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch17.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.3098717155079397
4064730.759077471
Results
16.0ms144×body256valid
Compiler

Compiled 147 to 117 computations (20.4% saved)

bsearch18.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
0.3098717155079397
4064730.759077471
Results
16.0ms144×body256valid
Compiler

Compiled 129 to 99 computations (23.3% saved)

bsearch14.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.005688093552561905
0.3098717155079397
Results
12.0ms112×body256valid
Compiler

Compiled 96 to 79 computations (17.7% saved)

bsearch47.0ms (0.9%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
47.0ms
0.3098717155079397
4064730.759077471
Results
45.0ms144×body256valid
Compiler

Compiled 84 to 72 computations (14.3% saved)

simplify8.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
14×+-commutative
6×sub-neg
2×1-exp
2×neg-mul-1
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044217
155217
259217
360217
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/2361183241434822606848) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 106000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 1 (+.f64 N 1/2)))
(if (<=.f64 N 5404319552844595/9007199254740992) (-.f64 N (log.f64 N)) (/.f64 1 (+.f64 N 1/2)))
(if (<=.f64 N 607985949695017/2251799813685248) (neg.f64 (log.f64 N)) (/.f64 1 (+.f64 N 1/2)))
(/.f64 1 (+.f64 N 1/2))
(if (<=.f64 N 1/2) 2 (/.f64 1 N))
2
Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/2361183241434822606848) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 106000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 1 (+.f64 N 1/2)))
(if (<=.f64 N 5404319552844595/9007199254740992) (-.f64 N (log.f64 N)) (/.f64 1 (+.f64 N 1/2)))
(if (<=.f64 N 607985949695017/2251799813685248) (neg.f64 (log.f64 N)) (/.f64 1 (+.f64 N 1/2)))
(/.f64 1 (+.f64 N 1/2))
(if (<=.f64 N 1/2) 2 (/.f64 1 N))
2
Compiler

Compiled 90 to 69 computations (23.3% saved)

soundness726.0ms (13.8%)

Rules
1682×div-sub
1682×div-sub
1682×div-sub
1654×log-prod
1522×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0921
11415
21915
32715
43615
55315
69015
712615
817515
921015
1023615
1123815
0715
114415
2188715
067512002
1164610644
2540310438
01261407
13361319
211011313
354461309
01560
134158
2514258
01261407
13361319
211011313
354461309
01261407
13361319
211011313
354461309
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×saturated
Compiler

Compiled 554 to 408 computations (26.4% saved)

end99.0ms (1.9%)

Compiler

Compiled 184 to 134 computations (27.2% saved)

Profiling

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