2log (problem 3.3.6)

Time bar (total: 5.5s)

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)

sample1.6s (28.6%)

Results
652.0ms4935×body256valid
609.0ms2038×body1024valid
199.0ms1028×body512valid
104.0ms255×body2048valid
1.0ms12×body256invalid
Bogosity

preprocess274.0ms (5%)

Algorithm
1×egg-herbie
Rules
7864×fma-def
962×distribute-rgt-in
906×fma-neg
858×distribute-lft-in
806×associate-+r+
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01450
12538
24338
37738
413538
523138
642636
776336
8152136
9301236
10379536
11382936
12385336
13385336
14599336
15643336
16678536
17678536
18717636
19772036
20789036
21794636
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N)))
Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (+.f64 1 (neg.f64 N))) (log.f64 (neg.f64 N)))
(-.f64 (log1p.f64 (neg.f64 N)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (+.f64 N -1)) (log.f64 N))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify9.0ms (0.2%)

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
61.2%
Counts
3 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶61.2%
(-.f64 (log1p.f64 N) (log.f64 N))
▶61.2%
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize58.0ms (1.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓61.2%
(-.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))

rewrite57.0ms (1%)

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)))

simplify66.0ms (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)

prune32.0ms (0.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New601171
Fresh000
Picked101
Done000
Total611172
Accurracy
100.0%
Counts
72 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.7%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
61.0%
(/.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)))))
▶44.5%
(/.f64 1 N)
42.4%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
58.9%
(-.f64 N (log.f64 N))
43.4%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
▶58.8%
(+.f64 N (-.f64 (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))) (log.f64 N)))
60.9%
(*.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))))))
▶57.6%
(neg.f64 (log.f64 N))
▶61.4%
(log.f64 (/.f64 (+.f64 N 1) N))
▶60.2%
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
60.7%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
61.0%
(/.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)))))
▶44.5%
(/.f64 1 N)
42.4%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
58.9%
(-.f64 N (log.f64 N))
43.4%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
▶58.8%
(+.f64 N (-.f64 (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))) (log.f64 N)))
60.9%
(*.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))))))
▶57.6%
(neg.f64 (log.f64 N))
▶61.4%
(log.f64 (/.f64 (+.f64 N 1) N))
▶60.2%
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
Compiler

Compiled 512 to 344 computations (32.8% saved)

localize192.0ms (3.5%)

Local Accuracy

Found 8 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
✓98.9%
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
61.2%
(-.f64 (log1p.f64 N) (log.f64 N))
✓100.0%
(+.f64 N (-.f64 (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))) (log.f64 N)))
✓99.9%
(*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3)))
✓99.5%
(*.f64 N 1/3)
✓100.0%
(/.f64 (+.f64 N 1) N)
✓61.4%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 103 to 48 computations (53.4% saved)

series6.0ms (0.1%)

Counts
7 → 84
Calls

21 calls:

TimeVariablePointExpression
1.0ms
N
@inf
(*.f64 N 1/3)
1.0ms
N
@0
(log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
0.0ms
N
@-inf
(*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3)))
0.0ms
N
@inf
(*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3)))
0.0ms
N
@0
(*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3)))

rewrite124.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1144×fma-neg
752×expm1-udef
750×log1p-udef
444×add-sqr-sqrt
432×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021135
1455127
26234127
Stop Event
1×node limit
Counts
7 → 254
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 N 1) N)
(*.f64 N 1/3)
(*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3)))
(+.f64 N (-.f64 (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))) (log.f64 N)))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
Outputs
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (-.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 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) -1)
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(-.f64 (log.f64 (+.f64 (neg.f64 N) -1)) (log.f64 (neg.f64 N)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 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 (cbrt.f64 (pow.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 (log.f64 N) (log1p.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 (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 (log.f64 N) (log1p.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
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(fma.f64 (fma.f64 N 1/3 -1/2) (*.f64 N N) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)) 1 (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2))) (cbrt.f64 (*.f64 (pow.f64 N 4) (pow.f64 (fma.f64 N 1/3 -1/2) 2))) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) (pow.f64 (fma.f64 N 1/3 -1/2) 2))) (cbrt.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2))) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (*.f64 (pow.f64 (cbrt.f64 N) 2) (fma.f64 N 1/3 -1/2)) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)) (log.f64 N))) 2) (cbrt.f64 (-.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)) (log.f64 N))) N)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N 1/3 -1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 N 1/3 -1/2)) (*.f64 N N)) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (-.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) (*.f64 N (fma.f64 N 1/3 -1/2))) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (*.f64 N (sqrt.f64 (fma.f64 N 1/3 -1/2))) (*.f64 N (sqrt.f64 (fma.f64 N 1/3 -1/2))) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)) (log.f64 N))) (sqrt.f64 (-.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)) (log.f64 N))) N)
(fma.f64 (sqrt.f64 (fma.f64 N 1/3 -1/2)) (*.f64 (sqrt.f64 (fma.f64 N 1/3 -1/2)) (*.f64 N N)) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (-.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)) (log.f64 N)))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (*.f64 N (fma.f64 N 1/3 -1/2))) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (*.f64 N (fma.f64 N 1/3 -1/2)) N (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 N (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)))) (cbrt.f64 (+.f64 N (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2))))) (cbrt.f64 (+.f64 N (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)))) (neg.f64 (log.f64 N)))
(fma.f64 (hypot.f64 (*.f64 N (sqrt.f64 (fma.f64 N 1/3 -1/2))) (sqrt.f64 N)) (hypot.f64 (*.f64 N (sqrt.f64 (fma.f64 N 1/3 -1/2))) (sqrt.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (*.f64 (*.f64 N N) (pow.f64 (cbrt.f64 (fma.f64 N 1/3 -1/2)) 2)) (cbrt.f64 (fma.f64 N 1/3 -1/2)) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (*.f64 (*.f64 N N) (sqrt.f64 (fma.f64 N 1/3 -1/2))) (sqrt.f64 (fma.f64 N 1/3 -1/2)) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (*.f64 (fma.f64 N 1/3 -1/2) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2) (neg.f64 (-.f64 (log.f64 N) N)))
(+.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 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) -1)
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(-.f64 (log.f64 (+.f64 (neg.f64 N) -1)) (log.f64 (neg.f64 N)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 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 (cbrt.f64 (pow.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 (log.f64 N) (log1p.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 (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 (log.f64 N) (log1p.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 N) (log1p.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 (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 (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 (+.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 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 1) (+.f64 (*.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 1 (*.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 1))))
(/.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 (fma.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) -1) (+.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(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 (log.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(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 1 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) -1)
(fma.f64 (log1p.f64 N) 1 (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (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)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))) (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) -1)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(*.f64 1 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(log.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))

simplify141.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1312×fma-neg
1210×times-frac
706×log-prod
652×fma-def
508×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054311478
1143810380
252399930
Stop Event
1×node limit
Counts
338 → 315
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 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 1/3 N)
(*.f64 -1/2 (pow.f64 N 2))
(+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))
(*.f64 1/3 (pow.f64 N 3))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))
(*.f64 1/3 (pow.f64 N 3))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))
(*.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 1/3 (pow.f64 N 3))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 N (+.f64 (log.f64 (/.f64 1 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(*.f64 1/3 (pow.f64 N 3))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 N (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(*.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)))))
(log.f64 (-.f64 1 (log.f64 N)))
(+.f64 (log.f64 (-.f64 1 (log.f64 N))) (/.f64 N (-.f64 1 (log.f64 N))))
(+.f64 (log.f64 (-.f64 1 (log.f64 N))) (+.f64 (/.f64 N (-.f64 1 (log.f64 N))) (*.f64 -1/2 (*.f64 (pow.f64 N 2) (+.f64 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)) (/.f64 1 (-.f64 1 (log.f64 N))))))))
(+.f64 (log.f64 (-.f64 1 (log.f64 N))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 N 3) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 3))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2))) (*.f64 2 (/.f64 1 (-.f64 1 (log.f64 N)))))))) (+.f64 (/.f64 N (-.f64 1 (log.f64 N))) (*.f64 -1/2 (*.f64 (pow.f64 N 2) (+.f64 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 N)) 2)) (/.f64 1 (-.f64 1 (log.f64 N)))))))))
(/.f64 1 N)
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(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (-.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)) (log.f64 N)) 2))) (neg.f64 (+.f64 (-.f64 N (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2))) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (+.f64 N (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2))) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (+.f64 N (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2))) (+.f64 N (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)))) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (+.f64 N (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2))) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)) (log.f64 N)) 2) (*.f64 N N)) (-.f64 (-.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)) (log.f64 N)) N))
(/.f64 (-.f64 (*.f64 (+.f64 N (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2))) (+.f64 N (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)))) (pow.f64 (log.f64 N) 2)) (+.f64 (+.f64 N (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2))) (log.f64 N)))
(pow.f64 (fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) (neg.f64 (-.f64 (log.f64 N) N))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) (neg.f64 (-.f64 (log.f64 N) N)))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) (neg.f64 (-.f64 (log.f64 N) N))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) (neg.f64 (-.f64 (log.f64 N) N)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) (neg.f64 (-.f64 (log.f64 N) N))) 2))
(log.f64 (/.f64 (exp.f64 (+.f64 N (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)))) N))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) (neg.f64 (-.f64 (log.f64 N) N))))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) (neg.f64 (-.f64 (log.f64 N) N))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) (neg.f64 (-.f64 (log.f64 N) N)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) (neg.f64 (-.f64 (log.f64 N) N)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) (neg.f64 (-.f64 (log.f64 N) N)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) (neg.f64 (-.f64 (log.f64 N) N)))))
(fma.f64 N (*.f64 N (fma.f64 N 1/3 -1/2)) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 1 N (-.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)) (log.f64 N)))
(fma.f64 1 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 1 (-.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)) (log.f64 N)) N)
(fma.f64 1 (+.f64 N (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2))) (neg.f64 (log.f64 N)))
(fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (fma.f64 N 1/3 -1/2) (*.f64 N N) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)) 1 (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2))) (cbrt.f64 (*.f64 (pow.f64 N 4) (pow.f64 (fma.f64 N 1/3 -1/2) 2))) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 N 4) (pow.f64 (fma.f64 N 1/3 -1/2) 2))) (cbrt.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2))) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (*.f64 (pow.f64 (cbrt.f64 N) 2) (fma.f64 N 1/3 -1/2)) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)) (log.f64 N))) 2) (cbrt.f64 (-.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)) (log.f64 N))) N)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N 1/3 -1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 N 1/3 -1/2)) (*.f64 N N)) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (-.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) (*.f64 N (fma.f64 N 1/3 -1/2))) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (*.f64 N (sqrt.f64 (fma.f64 N 1/3 -1/2))) (*.f64 N (sqrt.f64 (fma.f64 N 1/3 -1/2))) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)) (log.f64 N))) (sqrt.f64 (-.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)) (log.f64 N))) N)
(fma.f64 (sqrt.f64 (fma.f64 N 1/3 -1/2)) (*.f64 (sqrt.f64 (fma.f64 N 1/3 -1/2)) (*.f64 N N)) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (-.f64 (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)) (log.f64 N)))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (*.f64 N (fma.f64 N 1/3 -1/2))) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (*.f64 N (fma.f64 N 1/3 -1/2)) N (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 N (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)))) (cbrt.f64 (+.f64 N (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2))))) (cbrt.f64 (+.f64 N (*.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2)))) (neg.f64 (log.f64 N)))
(fma.f64 (hypot.f64 (*.f64 N (sqrt.f64 (fma.f64 N 1/3 -1/2))) (sqrt.f64 N)) (hypot.f64 (*.f64 N (sqrt.f64 (fma.f64 N 1/3 -1/2))) (sqrt.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (*.f64 (*.f64 N N) (pow.f64 (cbrt.f64 (fma.f64 N 1/3 -1/2)) 2)) (cbrt.f64 (fma.f64 N 1/3 -1/2)) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (*.f64 (*.f64 N N) (sqrt.f64 (fma.f64 N 1/3 -1/2))) (sqrt.f64 (fma.f64 N 1/3 -1/2)) (neg.f64 (-.f64 (log.f64 N) N)))
(fma.f64 (*.f64 (fma.f64 N 1/3 -1/2) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2) (neg.f64 (-.f64 (log.f64 N) N)))
(+.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 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) -1)
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(-.f64 (log.f64 (+.f64 (neg.f64 N) -1)) (log.f64 (neg.f64 N)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 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 (cbrt.f64 (pow.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 (log.f64 N) (log1p.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 (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 (log.f64 N) (log1p.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 N) (log1p.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 (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 (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 (+.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 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 1) (+.f64 (*.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 1 (*.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 1))))
(/.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 (fma.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) -1) (+.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(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 (log.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(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 1 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) -1)
(fma.f64 (log1p.f64 N) 1 (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (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)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))) (cbrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) -1)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(*.f64 1 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(log.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
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 N (*.f64 N -1/2))))
(+.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 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (*.f64 N N) (*.f64 1/3 (pow.f64 N 3)))))
(-.f64 (fma.f64 N (*.f64 N (fma.f64 N 1/3 -1/2)) 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 (/.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 (/.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 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 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
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(/.f64 (*.f64 (+.f64 2 (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 2 (-.f64 (log1p.f64 N) (log.f64 N))))
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(-.f64 (log1p.f64 N) (log.f64 N))
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(log.f64 (/.f64 (+.f64 N 1) N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 (/.f64 1 N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(log.f64 (+.f64 (+.f64 1 (/.f64 1 N)) 0))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
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(log1p.f64 (/.f64 1 N))
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(-.f64 (log1p.f64 N) (log.f64 N))
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(log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
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(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)
(log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (log1p.f64 (/.f64 1 N)))
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (log1p.f64 (/.f64 1 N)))
(log.f64 (+.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (log1p.f64 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3))
(log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (log1p.f64 (/.f64 1 N)))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (log1p.f64 (/.f64 1 N)))

eval151.0ms (2.7%)

Compiler

Compiled 6930 to 3827 computations (44.8% saved)

prune50.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3842386
Fresh426
Picked325
Done000
Total3916397
Accurracy
100.0%
Counts
397 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓44.5%
(/.f64 1 N)
▶42.4%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶43.4%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
✓57.6%
(neg.f64 (log.f64 N))
▶100.0%
(log1p.f64 (/.f64 1 N))
▶42.7%
(expm1.f64 (-.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N))))
✓44.5%
(/.f64 1 N)
▶42.4%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶43.4%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
✓57.6%
(neg.f64 (log.f64 N))
▶100.0%
(log1p.f64 (/.f64 1 N))
▶42.7%
(expm1.f64 (-.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N))))
Compiler

Compiled 100 to 74 computations (26% saved)

localize111.0ms (2%)

Local Accuracy

Found 10 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓99.8%
(/.f64 (/.f64 1/2 N) N)
✓100.0%
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
✓99.6%
(/.f64 1/3 (pow.f64 N 3))
✓99.3%
(/.f64 -1/2 (*.f64 N N))
✓78.2%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
✓100.0%
(log1p.f64 (/.f64 1 N))
✓100.0%
(-.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N)))
✓100.0%
(expm1.f64 (-.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N))))
✓99.3%
(/.f64 1 (*.f64 N N))
Compiler

Compiled 114 to 69 computations (39.5% saved)

series6.0ms (0.1%)

Counts
10 → 108
Calls

30 calls:

TimeVariablePointExpression
1.0ms
N
@inf
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
1.0ms
N
@-inf
(expm1.f64 (-.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N))))
0.0ms
N
@0
(/.f64 1 (*.f64 N N))
0.0ms
N
@0
(/.f64 1/3 (pow.f64 N 3))
0.0ms
N
@0
(/.f64 (/.f64 1/2 N) N)

rewrite101.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
538×add-sqr-sqrt
516×pow1
512×*-un-lft-identity
508×log1p-expm1-u
506×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023210
1542170
Stop Event
1×node limit
Counts
10 → 511
Calls
Call 1
Inputs
(/.f64 1 (*.f64 N N))
(expm1.f64 (-.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N))))
(-.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N)))
(log1p.f64 (/.f64 1 N))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(/.f64 -1/2 (*.f64 N N))
(/.f64 1/3 (pow.f64 N 3))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(/.f64 (/.f64 1/2 N) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 N -2))) 1)
(*.f64 1 (pow.f64 N -2))
(*.f64 (pow.f64 N -2) 1)
(*.f64 (/.f64 1 N) (/.f64 1 N))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 N 4))) (cbrt.f64 (pow.f64 N -2)))
(*.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 (pow.f64 N 4))))
(*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 (/.f64 1 N) (cbrt.f64 N)))
(*.f64 (cbrt.f64 (pow.f64 N -2)) (*.f64 (/.f64 1 (cbrt.f64 N)) (/.f64 1 N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (/.f64 1 N) (sqrt.f64 N)))
(*.f64 (pow.f64 N -1/2) (*.f64 (pow.f64 N -1/2) (/.f64 1 N)))
(*.f64 -1 (neg.f64 (pow.f64 N -2)))
(*.f64 (*.f64 (/.f64 1 N) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 N 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 N) 2) -1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 N)) N))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N -2)) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N -2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N -2)) (sqrt.f64 N)) (/.f64 (/.f64 1 (cbrt.f64 N)) (sqrt.f64 N)))
(*.f64 (/.f64 (pow.f64 N -1/2) 1) (/.f64 (pow.f64 N -1/2) N))
(*.f64 (/.f64 (pow.f64 N -1/2) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (pow.f64 N -1/2) (cbrt.f64 N)))
(*.f64 (*.f64 (/.f64 1 N) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(pow.f64 N -2)
(pow.f64 (*.f64 N N) -1)
(pow.f64 (pow.f64 N -2) 1)
(pow.f64 (/.f64 1 N) 2)
(pow.f64 (cbrt.f64 (pow.f64 N -2)) 3)
(pow.f64 (/.f64 1 (pow.f64 N 6)) 1/3)
(sqrt.f64 (/.f64 1 (pow.f64 N 4)))
(log.f64 (exp.f64 (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 N -2))))
(cbrt.f64 (/.f64 1 (pow.f64 N 6)))
(expm1.f64 (log1p.f64 (pow.f64 N -2)))
(exp.f64 (log.f64 (pow.f64 N -2)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 N)) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 N -2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 N -2)))
(+.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) -1)
(-.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) 1)
(*.f64 1 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)))
(*.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) 1)
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))) 2) (cbrt.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))))
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))) (sqrt.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) 3) 1) (+.f64 (*.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) (exp.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))) (+.f64 1 (*.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) 1))))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) (exp.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))) 1) (+.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) 1))
(pow.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))) 3)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) 2))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)))))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) 3))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))))
(+.f64 (/.f64 1 N) (neg.f64 (pow.f64 N -2)))
(+.f64 (/.f64 1 N) (*.f64 (neg.f64 (pow.f64 N -2)) 1))
(+.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N) (fma.f64 (neg.f64 (pow.f64 N -2)) 1 (pow.f64 N -2)))
(+.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 N -2))) (cbrt.f64 (/.f64 1 (pow.f64 N 4))) (pow.f64 N -2)))
(+.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1 N) (pow.f64 N -2)))
(+.f64 (neg.f64 (pow.f64 N -2)) (/.f64 1 N))
(*.f64 1 (/.f64 (-.f64 1 (/.f64 1 N)) N))
(*.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N) 1)
(*.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) N) (pow.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) N) 2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) N) 2) (/.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) N))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)))
(*.f64 (-.f64 (*.f64 N N) N) (pow.f64 N -3))
(*.f64 (-.f64 (pow.f64 N -3) (/.f64 1 (pow.f64 N 6))) (/.f64 1 (+.f64 (pow.f64 N -2) (+.f64 (/.f64 1 (pow.f64 N 4)) (pow.f64 N -3)))))
(*.f64 (-.f64 (pow.f64 N -2) (/.f64 1 (pow.f64 N 4))) (/.f64 1 (+.f64 (pow.f64 N -2) (/.f64 1 N))))
(*.f64 (+.f64 (pow.f64 N -1/2) (/.f64 1 N)) (-.f64 (pow.f64 N -1/2) (/.f64 1 N)))
(/.f64 1 (/.f64 (pow.f64 N 3) (-.f64 (*.f64 N N) N)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 N -2) (+.f64 (/.f64 1 (pow.f64 N 4)) (pow.f64 N -3))) (-.f64 (pow.f64 N -3) (/.f64 1 (pow.f64 N 6)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N)) (-.f64 (pow.f64 N -2) (/.f64 1 (pow.f64 N 4)))))
(/.f64 (-.f64 (*.f64 N N) N) (pow.f64 N 3))
(/.f64 (-.f64 (pow.f64 N -3) (/.f64 1 (pow.f64 N 6))) (+.f64 (pow.f64 N -2) (+.f64 (/.f64 1 (pow.f64 N 4)) (pow.f64 N -3))))
(/.f64 (-.f64 (pow.f64 N -2) (/.f64 1 (pow.f64 N 4))) (+.f64 (pow.f64 N -2) (/.f64 1 N)))
(/.f64 (-.f64 1 (/.f64 1 N)) N)
(/.f64 (-.f64 N (*.f64 N (/.f64 1 N))) (*.f64 N N))
(/.f64 (-.f64 (*.f64 N (neg.f64 N)) (*.f64 N -1)) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 (*.f64 N (neg.f64 N)) (*.f64 (neg.f64 N) 1)) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 1 N))) (*.f64 N (neg.f64 N)))
(/.f64 (-.f64 (*.f64 -1 (*.f64 N (neg.f64 N))) (*.f64 (neg.f64 N) -1)) (*.f64 (neg.f64 N) (*.f64 N (neg.f64 N))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) N)) (neg.f64 (pow.f64 N 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -3) (/.f64 1 (pow.f64 N 6)))) (neg.f64 (+.f64 (pow.f64 N -2) (+.f64 (/.f64 1 (pow.f64 N 4)) (pow.f64 N -3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (/.f64 1 (pow.f64 N 4)))) (neg.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))))
(/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (neg.f64 (pow.f64 N -2)) 3)) (+.f64 (pow.f64 N -2) (-.f64 (*.f64 (neg.f64 (pow.f64 N -2)) (neg.f64 (pow.f64 N -2))) (*.f64 (/.f64 1 N) (neg.f64 (pow.f64 N -2))))))
(/.f64 (-.f64 (pow.f64 N -2) (*.f64 (neg.f64 (pow.f64 N -2)) (neg.f64 (pow.f64 N -2)))) (-.f64 (/.f64 1 N) (neg.f64 (pow.f64 N -2))))
(/.f64 (/.f64 (-.f64 (*.f64 N N) N) 1) (pow.f64 N 3))
(/.f64 (/.f64 (-.f64 (*.f64 N N) N) N) (*.f64 N N))
(/.f64 (/.f64 (-.f64 (*.f64 N N) N) (*.f64 N N)) N)
(/.f64 (/.f64 (-.f64 (*.f64 N N) N) (pow.f64 N 3/2)) (pow.f64 N 3/2))
(pow.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N) 1)
(pow.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) N) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)))
(fma.f64 1 (/.f64 1 N) (neg.f64 (pow.f64 N -2)))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (neg.f64 (pow.f64 N -2)))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (neg.f64 (pow.f64 N -2)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(-.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 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 3))) (/.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (/.f64 (-.f64 1/3 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 3))))
(*.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 1)
(*.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 2))
(*.f64 (pow.f64 (cbrt.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 (+.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (/.f64 1 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (/.f64 (*.f64 1/3 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 6))))))
(*.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 1 (/.f64 (-.f64 1/3 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (/.f64 (*.f64 1/3 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 6)))) (+.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)))))
(/.f64 1 (/.f64 (/.f64 (-.f64 1/3 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 3)) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (/.f64 (*.f64 1/3 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 6)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3))) (+.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 (*.f64 1/3 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 6)))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 (-.f64 1/3 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 3)))
(/.f64 (+.f64 (pow.f64 N 3) (*.f64 (*.f64 (pow.f64 N 3) 3) (*.f64 N (+.f64 N -1/2)))) (*.f64 (*.f64 (pow.f64 N 3) 3) (pow.f64 N 3)))
(/.f64 (+.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 3)))) (*.f64 (*.f64 (pow.f64 N 3) 3) (+.f64 (/.f64 1/8 (pow.f64 N 6)) (pow.f64 N -3)))) (*.f64 (*.f64 (pow.f64 N 3) 3) (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 3))))))
(/.f64 (+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 (*.f64 (pow.f64 N 3) 3) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))))) (*.f64 (*.f64 (pow.f64 N 3) 3) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(/.f64 (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N 3) (*.f64 N (+.f64 N -1/2)))) (pow.f64 N 6))
(/.f64 (+.f64 (*.f64 1/3 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 3))))) (*.f64 (pow.f64 N 3) (+.f64 (/.f64 1/8 (pow.f64 N 6)) (pow.f64 N -3)))) (*.f64 (pow.f64 N 3) (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 3))))))
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(/.f64 (-.f64 (*.f64 -1 (*.f64 N (neg.f64 N))) (*.f64 (neg.f64 N) 1/2)) (*.f64 (neg.f64 N) (*.f64 N (neg.f64 N))))
(/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 -1/2 N))) (*.f64 N (neg.f64 N)))
(/.f64 (-.f64 (*.f64 N N) (*.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (-.f64 (neg.f64 N) (*.f64 N (/.f64 -1/2 N))) (*.f64 N (neg.f64 N)))
(/.f64 (-.f64 (*.f64 N (neg.f64 N)) (*.f64 (neg.f64 N) 1/2)) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) (*.f64 N (neg.f64 N)))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 N)) (*.f64 (neg.f64 N) (/.f64 -1/2 N))) (*.f64 (neg.f64 N) (neg.f64 N)))
(/.f64 (neg.f64 (*.f64 N (+.f64 N -1/2))) (neg.f64 (pow.f64 N 3)))
(/.f64 (neg.f64 (+.f64 (/.f64 1/8 (pow.f64 N 6)) (pow.f64 N -3))) (neg.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 3))))))
(/.f64 (neg.f64 (+.f64 1 (/.f64 -1/2 N))) (neg.f64 N))
(/.f64 (neg.f64 (-.f64 N (*.f64 N (/.f64 1/2 N)))) (*.f64 N (neg.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6)))) (neg.f64 (+.f64 (pow.f64 N -2) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 3))))))
(/.f64 (-.f64 (/.f64 1/4 (pow.f64 N 4)) (pow.f64 N -2)) (-.f64 (*.f64 (pow.f64 N -2) -1/2) (/.f64 1 N)))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) 1) (pow.f64 N 3))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) N) (*.f64 N N))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (*.f64 N N)) N)
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 3/2)) (pow.f64 N 3/2))
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) 1) N)
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) 1) (*.f64 N N))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) N) N)
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)
(sqrt.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(exp.f64 (log.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(fma.f64 1 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 1 (*.f64 (pow.f64 N -2) -1/2) (/.f64 1 N))
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (cbrt.f64 (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N) (/.f64 1 N))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 (pow.f64 N -2) -1/2))

simplify154.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1336×fma-def
960×associate-*r*
914×associate-*l*
868×times-frac
368×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086219721
1238317397
Stop Event
1×node limit
Counts
619 → 535
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(-.f64 (exp.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))) 1)
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (+.f64 (*.f64 5/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 N 4))) (/.f64 1 N)) (+.f64 (*.f64 5/6 (/.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 1 N) (+.f64 (*.f64 5/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 N 4))) (/.f64 1 N)) (+.f64 (*.f64 5/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 -1 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(*.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 1/3 (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 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 N -2))) 1)
(*.f64 1 (pow.f64 N -2))
(*.f64 (pow.f64 N -2) 1)
(*.f64 (/.f64 1 N) (/.f64 1 N))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 N 4))) (cbrt.f64 (pow.f64 N -2)))
(*.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 (pow.f64 N 4))))
(*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 (/.f64 1 N) (cbrt.f64 N)))
(*.f64 (cbrt.f64 (pow.f64 N -2)) (*.f64 (/.f64 1 (cbrt.f64 N)) (/.f64 1 N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (/.f64 1 N) (sqrt.f64 N)))
(*.f64 (pow.f64 N -1/2) (*.f64 (pow.f64 N -1/2) (/.f64 1 N)))
(*.f64 -1 (neg.f64 (pow.f64 N -2)))
(*.f64 (*.f64 (/.f64 1 N) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 N 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 N) 2) -1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 N)) N))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N -2)) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N -2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 N -2)) (sqrt.f64 N)) (/.f64 (/.f64 1 (cbrt.f64 N)) (sqrt.f64 N)))
(*.f64 (/.f64 (pow.f64 N -1/2) 1) (/.f64 (pow.f64 N -1/2) N))
(*.f64 (/.f64 (pow.f64 N -1/2) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (pow.f64 N -1/2) (cbrt.f64 N)))
(*.f64 (*.f64 (/.f64 1 N) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(pow.f64 N -2)
(pow.f64 (*.f64 N N) -1)
(pow.f64 (pow.f64 N -2) 1)
(pow.f64 (/.f64 1 N) 2)
(pow.f64 (cbrt.f64 (pow.f64 N -2)) 3)
(pow.f64 (/.f64 1 (pow.f64 N 6)) 1/3)
(sqrt.f64 (/.f64 1 (pow.f64 N 4)))
(log.f64 (exp.f64 (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 N -2))))
(cbrt.f64 (/.f64 1 (pow.f64 N 6)))
(expm1.f64 (log1p.f64 (pow.f64 N -2)))
(exp.f64 (log.f64 (pow.f64 N -2)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 N)) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 N -2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 N -2)))
(+.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) -1)
(-.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) 1)
(*.f64 1 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)))
(*.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) 1)
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))) 2) (cbrt.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))))
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))) (sqrt.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) 3) 1) (+.f64 (*.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) (exp.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))) (+.f64 1 (*.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) 1))))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) (exp.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))) 1) (+.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) 1))
(pow.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))) 3)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) 2))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)))))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) 3))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N))))
(+.f64 (/.f64 1 N) (neg.f64 (pow.f64 N -2)))
(+.f64 (/.f64 1 N) (*.f64 (neg.f64 (pow.f64 N -2)) 1))
(+.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N) (fma.f64 (neg.f64 (pow.f64 N -2)) 1 (pow.f64 N -2)))
(+.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 N -2))) (cbrt.f64 (/.f64 1 (pow.f64 N 4))) (pow.f64 N -2)))
(+.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1 N) (pow.f64 N -2)))
(+.f64 (neg.f64 (pow.f64 N -2)) (/.f64 1 N))
(*.f64 1 (/.f64 (-.f64 1 (/.f64 1 N)) N))
(*.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N) 1)
(*.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) N) (pow.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) N) 2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) N) 2) (/.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) N))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)) (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1 N)) N)))
(*.f64 (-.f64 (*.f64 N N) N) (pow.f64 N -3))
(*.f64 (-.f64 (pow.f64 N -3) (/.f64 1 (pow.f64 N 6))) (/.f64 1 (+.f64 (pow.f64 N -2) (+.f64 (/.f64 1 (pow.f64 N 4)) (pow.f64 N -3)))))
(*.f64 (-.f64 (pow.f64 N -2) (/.f64 1 (pow.f64 N 4))) (/.f64 1 (+.f64 (pow.f64 N -2) (/.f64 1 N))))
(*.f64 (+.f64 (pow.f64 N -1/2) (/.f64 1 N)) (-.f64 (pow.f64 N -1/2) (/.f64 1 N)))
(/.f64 1 (/.f64 (pow.f64 N 3) (-.f64 (*.f64 N N) N)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 N -2) (+.f64 (/.f64 1 (pow.f64 N 4)) (pow.f64 N -3))) (-.f64 (pow.f64 N -3) (/.f64 1 (pow.f64 N 6)))))
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(*.f64 (*.f64 (/.f64 1/2 N) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (*.f64 (/.f64 1/2 N) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(*.f64 (*.f64 -1/2 (cbrt.f64 (/.f64 1 (pow.f64 N 4)))) (cbrt.f64 (pow.f64 N -2)))
(pow.f64 (*.f64 (pow.f64 N -2) -1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 N -2) -1/2)) 3)
(pow.f64 (/.f64 1/8 (pow.f64 N 6)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(pow.f64 (*.f64 N (*.f64 N 2)) -1)
(neg.f64 (*.f64 (pow.f64 N -2) -1/2))
(neg.f64 (/.f64 (/.f64 1/2 N) (neg.f64 N)))
(sqrt.f64 (/.f64 1/4 (pow.f64 N 4)))
(log.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 N -2) -1/2))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 -1/2) (pow.f64 N -2))))
(cbrt.f64 (/.f64 1/8 (pow.f64 N 6)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 N -2) -1/2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 N -2) -1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 N -2) -1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2))
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (/.f64 1 N))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (neg.f64 (pow.f64 N -2)) -1/2 (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 N -2) -1/2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 (pow.f64 N -2) -1/2)))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 (pow.f64 N -2) -1/2)))
(*.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N)))
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 1/2 N)))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)
(*.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N) (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N) 2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N) 2) (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N))
(*.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (+.f64 1 (/.f64 -1/2 N)) (/.f64 1 N))
(*.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N -3))
(*.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (pow.f64 N -2))
(*.f64 (+.f64 (/.f64 1/8 (pow.f64 N 6)) (pow.f64 N -3)) (/.f64 1 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 3))))))
(*.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (/.f64 1 (+.f64 (pow.f64 N -2) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 3))))))
(*.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) 1) (/.f64 1 N))
(/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (+.f64 N -1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 3)))) (+.f64 (/.f64 1/8 (pow.f64 N 6)) (pow.f64 N -3))))
(/.f64 1 (/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 -1/2 N))))
(/.f64 1 (/.f64 (*.f64 N N) (-.f64 N (*.f64 N (/.f64 1/2 N)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 N -2) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 3)))) (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6)))))
(/.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 3))
(/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N N))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 N 6)) (pow.f64 N -3)) (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 3)))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 N 6)) (pow.f64 N -3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (pow.f64 N -2) (/.f64 -1/2 (pow.f64 N 3)))))
(/.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6))) (+.f64 (pow.f64 N -2) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4)))) (neg.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(/.f64 (-.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 -1 (/.f64 -1/2 N)) (neg.f64 N))
(/.f64 (+.f64 (*.f64 N N) (*.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (+.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 N N))
(/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 -1/2 N))) (*.f64 N (neg.f64 N)))
(/.f64 (+.f64 (*.f64 N (neg.f64 N)) (*.f64 (neg.f64 N) 1/2)) (neg.f64 (pow.f64 N 3)))
(/.f64 (+.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) (*.f64 N (neg.f64 N)))
(/.f64 (+.f64 (*.f64 -1 (neg.f64 N)) (*.f64 (neg.f64 N) (/.f64 -1/2 N))) (*.f64 (neg.f64 N) (neg.f64 N)))
(/.f64 (+.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 N (*.f64 N (*.f64 N 2))))
(/.f64 (+.f64 (*.f64 N (neg.f64 N)) (*.f64 N 1/2)) (neg.f64 (pow.f64 N 3)))
(/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) (*.f64 N N))
(/.f64 (+.f64 (*.f64 -1 (*.f64 N (*.f64 N 2))) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (*.f64 N (*.f64 N 2))))
(/.f64 (+.f64 (*.f64 N (neg.f64 N)) (*.f64 (neg.f64 N) -1/2)) (neg.f64 (pow.f64 N 3)))
(/.f64 (+.f64 (*.f64 -1 (*.f64 N (neg.f64 N))) (*.f64 (neg.f64 N) 1/2)) (*.f64 (neg.f64 N) (*.f64 N (neg.f64 N))))
(/.f64 (+.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 -1/2 N))) (*.f64 N (neg.f64 N)))
(/.f64 (+.f64 N (*.f64 (*.f64 N (*.f64 N 2)) 1)) (*.f64 (*.f64 N (*.f64 N 2)) N))
(/.f64 (+.f64 (neg.f64 N) (*.f64 (*.f64 N (*.f64 N 2)) -1)) (*.f64 (*.f64 N (*.f64 N 2)) (neg.f64 N)))
(/.f64 (+.f64 (*.f64 -1/2 (neg.f64 N)) (*.f64 (*.f64 N N) -1)) (neg.f64 (pow.f64 N 3)))
(/.f64 (+.f64 (*.f64 1/2 N) (*.f64 (*.f64 N (neg.f64 N)) 1)) (neg.f64 (pow.f64 N 3)))
(/.f64 (+.f64 (*.f64 1/2 (neg.f64 N)) (*.f64 (*.f64 N (neg.f64 N)) -1)) (*.f64 (*.f64 N (neg.f64 N)) (neg.f64 N)))
(/.f64 (+.f64 (*.f64 (/.f64 -1/2 N) N) N) (*.f64 N N))
(/.f64 (+.f64 (*.f64 (/.f64 -1/2 N) (neg.f64 N)) (*.f64 N -1)) (*.f64 N (neg.f64 N)))
(/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 N (*.f64 N (*.f64 N 2))))
(/.f64 (-.f64 (*.f64 N N) (*.f64 N -1/2)) (pow.f64 N 3))
(/.f64 (-.f64 (*.f64 N (neg.f64 N)) (*.f64 N 1/2)) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 N (*.f64 N (/.f64 -1/2 N))) (*.f64 N N))
(/.f64 (-.f64 (*.f64 -1 (*.f64 N (*.f64 N 2))) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (*.f64 N (*.f64 N 2))))
(/.f64 (-.f64 (*.f64 N (neg.f64 N)) (*.f64 (neg.f64 N) -1/2)) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 (*.f64 -1 (*.f64 N (neg.f64 N))) (*.f64 (neg.f64 N) 1/2)) (*.f64 (neg.f64 N) (*.f64 N (neg.f64 N))))
(/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 -1/2 N))) (*.f64 N (neg.f64 N)))
(/.f64 (-.f64 (*.f64 N N) (*.f64 N 1/2)) (pow.f64 N 3))
(/.f64 (-.f64 (neg.f64 N) (*.f64 N (/.f64 -1/2 N))) (*.f64 N (neg.f64 N)))
(/.f64 (-.f64 (*.f64 N (neg.f64 N)) (*.f64 (neg.f64 N) 1/2)) (neg.f64 (pow.f64 N 3)))
(/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) (*.f64 N (neg.f64 N)))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 N)) (*.f64 (neg.f64 N) (/.f64 -1/2 N))) (*.f64 (neg.f64 N) (neg.f64 N)))
(/.f64 (neg.f64 (*.f64 N (+.f64 N -1/2))) (neg.f64 (pow.f64 N 3)))
(/.f64 (neg.f64 (+.f64 (/.f64 1/8 (pow.f64 N 6)) (pow.f64 N -3))) (neg.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 3))))))
(/.f64 (neg.f64 (+.f64 1 (/.f64 -1/2 N))) (neg.f64 N))
(/.f64 (neg.f64 (-.f64 N (*.f64 N (/.f64 1/2 N)))) (*.f64 N (neg.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6)))) (neg.f64 (+.f64 (pow.f64 N -2) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 3))))))
(/.f64 (-.f64 (/.f64 1/4 (pow.f64 N 4)) (pow.f64 N -2)) (-.f64 (*.f64 (pow.f64 N -2) -1/2) (/.f64 1 N)))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) 1) (pow.f64 N 3))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) N) (*.f64 N N))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (*.f64 N N)) N)
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 3/2)) (pow.f64 N 3/2))
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) 1) N)
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) 1) (*.f64 N N))
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) N) N)
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)
(sqrt.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(exp.f64 (log.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(fma.f64 1 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 1 (*.f64 (pow.f64 N -2) -1/2) (/.f64 1 N))
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (cbrt.f64 (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N) (/.f64 1 N))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 (pow.f64 N -2) -1/2))
Outputs
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(pow.f64 N -2)
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(pow.f64 N -2)
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(pow.f64 N -2)
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(pow.f64 N -2)
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(pow.f64 N -2)
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(pow.f64 N -2)
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(pow.f64 N -2)
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(pow.f64 N -2)
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(pow.f64 N -2)
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(pow.f64 N -2)
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(pow.f64 N -2)
(/.f64 1 (pow.f64 N 2))
(/.f64 1 (*.f64 N N))
(pow.f64 N -2)
(-.f64 (exp.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))) 1)
(expm1.f64 (-.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N))))
(expm1.f64 (/.f64 (+.f64 N -1) (*.f64 N N)))
(-.f64 (exp.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))) 1)
(expm1.f64 (-.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N))))
(expm1.f64 (/.f64 (+.f64 N -1) (*.f64 N N)))
(-.f64 (exp.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))) 1)
(expm1.f64 (-.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N))))
(expm1.f64 (/.f64 (+.f64 N -1) (*.f64 N N)))
(-.f64 (exp.f64 (-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))) 1)
(expm1.f64 (-.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N))))
(expm1.f64 (/.f64 (+.f64 N -1) (*.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 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (+.f64 (*.f64 5/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 5/6 (pow.f64 N 3))))
(-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 5/6 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 N 4))) (/.f64 1 N)) (+.f64 (*.f64 5/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/24 (pow.f64 N 4)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 5/6 (pow.f64 N 3)))))
(+.f64 (/.f64 1/24 (pow.f64 N 4)) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 5/6 (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 (/.f64 -1/2 N)) N)
(-.f64 (/.f64 1 N) (+.f64 (*.f64 5/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 5/6 (pow.f64 N 3))))
(-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 5/6 (pow.f64 N 3)))
(-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 N 4))) (/.f64 1 N)) (+.f64 (*.f64 5/6 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/24 (pow.f64 N 4)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 5/6 (pow.f64 N 3)))))
(+.f64 (/.f64 1/24 (pow.f64 N 4)) (-.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 5/6 (pow.f64 N 3))))
(/.f64 -1 (pow.f64 N 2))
(/.f64 -1 (*.f64 N N))
(neg.f64 (pow.f64 N -2))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N)))
(/.f64 (+.f64 N -1) (*.f64 N N))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N)))
(/.f64 (+.f64 N -1) (*.f64 N N))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N)))
(/.f64 (+.f64 N -1) (*.f64 N N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N)))
(/.f64 (+.f64 N -1) (*.f64 N N))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N)))
(/.f64 (+.f64 N -1) (*.f64 N N))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N)))
(/.f64 (+.f64 N -1) (*.f64 N N))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N)))
(/.f64 (+.f64 N -1) (*.f64 N N))
(-.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 2)))
(-.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N)))
(/.f64 (+.f64 N -1) (*.f64 N N))
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(/.f64 (+.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 N (*.f64 N (*.f64 N 2))))
(/.f64 (fma.f64 N (*.f64 N 2) N) (*.f64 N (*.f64 N (*.f64 N 2))))
(/.f64 (fma.f64 (*.f64 N N) 2 N) (*.f64 (pow.f64 N 3) 2))
(/.f64 (+.f64 (*.f64 N (neg.f64 N)) (*.f64 N 1/2)) (neg.f64 (pow.f64 N 3)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) (*.f64 N N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (+.f64 (*.f64 -1 (*.f64 N (*.f64 N 2))) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (*.f64 N (*.f64 N 2))))
(/.f64 (fma.f64 -1 (*.f64 N (*.f64 N 2)) (neg.f64 N)) (*.f64 (neg.f64 N) (*.f64 N (*.f64 N 2))))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) 2 N)) (*.f64 (neg.f64 (pow.f64 N 3)) 2))
(/.f64 (+.f64 (*.f64 N (neg.f64 N)) (*.f64 (neg.f64 N) -1/2)) (neg.f64 (pow.f64 N 3)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (+.f64 (*.f64 -1 (*.f64 N (neg.f64 N))) (*.f64 (neg.f64 N) 1/2)) (*.f64 (neg.f64 N) (*.f64 N (neg.f64 N))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (+.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 -1/2 N))) (*.f64 N (neg.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (+.f64 N (*.f64 (*.f64 N (*.f64 N 2)) 1)) (*.f64 (*.f64 N (*.f64 N 2)) N))
(/.f64 (fma.f64 N (*.f64 N 2) N) (*.f64 N (*.f64 N (*.f64 N 2))))
(/.f64 (fma.f64 (*.f64 N N) 2 N) (*.f64 (pow.f64 N 3) 2))
(/.f64 (+.f64 (neg.f64 N) (*.f64 (*.f64 N (*.f64 N 2)) -1)) (*.f64 (*.f64 N (*.f64 N 2)) (neg.f64 N)))
(/.f64 (fma.f64 -1 (*.f64 N (*.f64 N 2)) (neg.f64 N)) (*.f64 (neg.f64 N) (*.f64 N (*.f64 N 2))))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) 2 N)) (*.f64 (neg.f64 (pow.f64 N 3)) 2))
(/.f64 (+.f64 (*.f64 -1/2 (neg.f64 N)) (*.f64 (*.f64 N N) -1)) (neg.f64 (pow.f64 N 3)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (+.f64 (*.f64 1/2 N) (*.f64 (*.f64 N (neg.f64 N)) 1)) (neg.f64 (pow.f64 N 3)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (+.f64 (*.f64 1/2 (neg.f64 N)) (*.f64 (*.f64 N (neg.f64 N)) -1)) (*.f64 (*.f64 N (neg.f64 N)) (neg.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (+.f64 (*.f64 (/.f64 -1/2 N) N) N) (*.f64 N N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (+.f64 (*.f64 (/.f64 -1/2 N) (neg.f64 N)) (*.f64 N -1)) (*.f64 N (neg.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 N (*.f64 N (*.f64 N 2))))
(/.f64 (/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) N) (*.f64 N (*.f64 N 2)))
(/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 (pow.f64 N 3) 2))
(/.f64 (-.f64 (*.f64 N N) (*.f64 N -1/2)) (pow.f64 N 3))
(+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))
(/.f64 (+.f64 1 (/.f64 1/2 N)) N)
(/.f64 (-.f64 (*.f64 N (neg.f64 N)) (*.f64 N 1/2)) (neg.f64 (pow.f64 N 3)))
(+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))
(/.f64 (+.f64 1 (/.f64 1/2 N)) N)
(/.f64 (-.f64 N (*.f64 N (/.f64 -1/2 N))) (*.f64 N N))
(+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))
(/.f64 (+.f64 1 (/.f64 1/2 N)) N)
(/.f64 (-.f64 (*.f64 -1 (*.f64 N (*.f64 N 2))) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (*.f64 N (*.f64 N 2))))
(/.f64 (-.f64 (*.f64 (neg.f64 N) (*.f64 N 2)) (neg.f64 N)) (*.f64 (neg.f64 N) (*.f64 N (*.f64 N 2))))
(/.f64 (fma.f64 N (*.f64 N -2) N) (*.f64 (neg.f64 (pow.f64 N 3)) 2))
(/.f64 (-.f64 (*.f64 N (neg.f64 N)) (*.f64 (neg.f64 N) -1/2)) (neg.f64 (pow.f64 N 3)))
(+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))
(/.f64 (+.f64 1 (/.f64 1/2 N)) N)
(/.f64 (-.f64 (*.f64 -1 (*.f64 N (neg.f64 N))) (*.f64 (neg.f64 N) 1/2)) (*.f64 (neg.f64 N) (*.f64 N (neg.f64 N))))
(+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))
(/.f64 (+.f64 1 (/.f64 1/2 N)) N)
(/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 -1/2 N))) (*.f64 N (neg.f64 N)))
(+.f64 (/.f64 1 N) (*.f64 1/2 (pow.f64 N -2)))
(/.f64 (+.f64 1 (/.f64 1/2 N)) N)
(/.f64 (-.f64 (*.f64 N N) (*.f64 N 1/2)) (pow.f64 N 3))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 (neg.f64 N) (*.f64 N (/.f64 -1/2 N))) (*.f64 N (neg.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 (*.f64 N (neg.f64 N)) (*.f64 (neg.f64 N) 1/2)) (neg.f64 (pow.f64 N 3)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 1/2 N))) (*.f64 N (neg.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 (*.f64 -1 (neg.f64 N)) (*.f64 (neg.f64 N) (/.f64 -1/2 N))) (*.f64 (neg.f64 N) (neg.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (neg.f64 (*.f64 N (+.f64 N -1/2))) (neg.f64 (pow.f64 N 3)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (neg.f64 (+.f64 (/.f64 1/8 (pow.f64 N 6)) (pow.f64 N -3))) (neg.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 3))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6)))) (neg.f64 (+.f64 (pow.f64 N -2) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 3))))))
(/.f64 (-.f64 (/.f64 -1/8 (pow.f64 N 6)) (pow.f64 N -3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (+.f64 (pow.f64 N -2) (/.f64 1/2 (pow.f64 N 3)))))
(/.f64 (neg.f64 (+.f64 1 (/.f64 -1/2 N))) (neg.f64 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (neg.f64 (-.f64 N (*.f64 N (/.f64 1/2 N)))) (*.f64 N (neg.f64 N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (neg.f64 (-.f64 (pow.f64 N -3) (/.f64 1/8 (pow.f64 N 6)))) (neg.f64 (+.f64 (pow.f64 N -2) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 3))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 N 6)))) (+.f64 (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (pow.f64 N -2)) (/.f64 1/2 (pow.f64 N 3))))
(/.f64 (-.f64 (/.f64 1/4 (pow.f64 N 4)) (pow.f64 N -2)) (-.f64 (*.f64 (pow.f64 N -2) -1/2) (/.f64 1 N)))
(/.f64 (-.f64 (/.f64 1/4 (pow.f64 N 4)) (pow.f64 N -2)) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 -1 N)))
(/.f64 (-.f64 (/.f64 1/4 (pow.f64 N 4)) (pow.f64 N -2)) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 -1 N)))
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) 1) (pow.f64 N 3))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) N) (*.f64 N N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (*.f64 N N)) N)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 3/2)) (pow.f64 N 3/2))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) 1) N)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)) (sqrt.f64 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) 1) (*.f64 N N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) N) N)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (cbrt.f64 (pow.f64 N 4))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (*.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4))))
(/.f64 (fma.f64 N (/.f64 -1/2 N) N) (*.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4))))
(pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) N) 3)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(sqrt.f64 (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(exp.f64 (log.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 1))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(fma.f64 1 (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(fma.f64 1 (*.f64 (pow.f64 N -2) -1/2) (/.f64 1 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(fma.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (cbrt.f64 (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))
(fma.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) (/.f64 1 N))
(fma.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 (pow.f64 N -2) -1/2))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N) (/.f64 1 N))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) N) 2) (/.f64 1 N))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 (pow.f64 N -2) -1/2))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)

eval205.0ms (3.7%)

Compiler

Compiled 10578 to 7947 computations (24.9% saved)

prune76.0ms (1.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New5323535
Fresh000
Picked224
Done022
Total5347541
Accurracy
100.0%
Counts
541 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶42.4%
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
✓44.5%
(/.f64 1 N)
✓42.4%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶43.4%
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 1/3 (pow.f64 N 3)))
✓57.6%
(neg.f64 (log.f64 N))
✓100.0%
(log1p.f64 (/.f64 1 N))
▶95.4%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
▶42.4%
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
✓44.5%
(/.f64 1 N)
✓42.4%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶43.4%
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 1/3 (pow.f64 N 3)))
✓57.6%
(neg.f64 (log.f64 N))
✓100.0%
(log1p.f64 (/.f64 1 N))
▶95.4%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
Compiler

Compiled 104 to 80 computations (23.1% saved)

localize109.0ms (2%)

Local Accuracy

Found 9 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 1 (/.f64 -1/2 N))
✓99.9%
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
✓100.0%
(+.f64 1 (/.f64 -1/2 N))
✓99.9%
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
99.6%
(/.f64 1/3 (pow.f64 N 3))
✓78.2%
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 1/3 (pow.f64 N 3)))
100.0%
(log1p.f64 (/.f64 1 N))
✓100.0%
(log.f64 (log1p.f64 (/.f64 1 N)))
✓95.4%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
Compiler

Compiled 81 to 61 computations (24.7% saved)

series3.0ms (0.1%)

Counts
7 → 84
Calls

21 calls:

TimeVariablePointExpression
1.0ms
N
@0
(log.f64 (log1p.f64 (/.f64 1 N)))
0.0ms
N
@-inf
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 1/3 (pow.f64 N 3)))
0.0ms
N
@0
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
0.0ms
N
@inf
(log.f64 (log1p.f64 (/.f64 1 N)))
0.0ms
N
@inf
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 1/3 (pow.f64 N 3)))

rewrite139.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
1606×log-prod
1198×fma-def
634×expm1-udef
628×log1p-udef
452×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018127
1389123
25117123
Stop Event
1×node limit
Counts
7 → 277
Calls
Call 1
Inputs
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (log1p.f64 (/.f64 1 N)))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 1/3 (pow.f64 N 3)))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(+.f64 1 (/.f64 -1/2 N))
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(+.f64 1 (/.f64 -1/2 N))
Outputs
(+.f64 0 (log1p.f64 (/.f64 1 N)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) (cbrt.f64 (+.f64 1 (/.f64 1 N))))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (/.f64 1 N)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) (*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) (/.f64 1 N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (+.f64 -1 (neg.f64 (/.f64 -1/2 N))) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (sqrt.f64 N)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) 1) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) N))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)
(pow.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) -1)
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (neg.f64 N)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 -1/2 N)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 -1/2 N))) (/.f64 (*.f64 1/4 (pow.f64 N -2)) (-.f64 1 (/.f64 -1/2 N))))
(*.f64 1 (+.f64 1 (/.f64 -1/2 N)))
(*.f64 (+.f64 1 (/.f64 -1/2 N)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))))
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))))
(*.f64 (fma.f64 -1/8 (pow.f64 N -3) 1) (/.f64 1 (fma.f64 (/.f64 -1/2 N) (-.f64 (/.f64 -1/2 N) 1) 1)))
(*.f64 (-.f64 1 (*.f64 1/4 (pow.f64 N -2))) (/.f64 1 (-.f64 1 (/.f64 -1/2 N))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 -1/2 N) (-.f64 (/.f64 -1/2 N) 1) 1) (fma.f64 -1/8 (pow.f64 N -3) 1)))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 -1/2 N)) (-.f64 1 (*.f64 1/4 (pow.f64 N -2)))))
(/.f64 (fma.f64 -1/8 (pow.f64 N -3) 1) (fma.f64 (/.f64 -1/2 N) (-.f64 (/.f64 -1/2 N) 1) 1))
(/.f64 (fma.f64 -1/8 (pow.f64 N -3) 1) (fma.f64 1/4 (pow.f64 N -2) (-.f64 1 (/.f64 -1/2 N))))
(/.f64 (-.f64 1 (*.f64 1/4 (pow.f64 N -2))) (-.f64 1 (/.f64 -1/2 N)))
(/.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 N -3) 1)) (neg.f64 (fma.f64 (/.f64 -1/2 N) (-.f64 (/.f64 -1/2 N) 1) 1)))
(/.f64 (neg.f64 (-.f64 1 (*.f64 1/4 (pow.f64 N -2)))) (neg.f64 (-.f64 1 (/.f64 -1/2 N))))
(/.f64 (fma.f64 1/4 (pow.f64 N -2) -1) (-.f64 (/.f64 -1/2 N) 1))
(pow.f64 (+.f64 1 (/.f64 -1/2 N)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 -1/2 N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 -1/2 N)))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 -1/2 N))))
(exp.f64 (log1p.f64 (/.f64 -1/2 N)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 -1/2 N)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 -1/2 N))))
(fma.f64 1 (/.f64 -1/2 N) 1)
(fma.f64 (/.f64 1 N) -1/2 1)
(fma.f64 -1/2 (/.f64 1 N) 1)
(fma.f64 (/.f64 -1/2 N) 1 1)
(fma.f64 (cbrt.f64 (/.f64 -1/2 N)) (cbrt.f64 (*.f64 1/4 (pow.f64 N -2))) 1)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -2))) (cbrt.f64 (/.f64 -1/2 N)) 1)
(fma.f64 (sqrt.f64 (/.f64 -1/2 N)) (sqrt.f64 (/.f64 -1/2 N)) 1)
(fma.f64 1/2 (/.f64 1 (neg.f64 N)) 1)
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)) 1)
(fma.f64 (*.f64 -1/2 (pow.f64 N -1/2)) (pow.f64 N -1/2) 1)
(+.f64 0 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 1)
(*.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N)))
(*.f64 (+.f64 1 (/.f64 -1/2 N)) (/.f64 1 N))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (/.f64 1 N)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) (*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) (/.f64 1 N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (+.f64 -1 (neg.f64 (/.f64 -1/2 N))) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (sqrt.f64 N)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) 1) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) N))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)
(pow.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) -1)
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (neg.f64 N)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 -1/2 N)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 -1/2 N))) (/.f64 (*.f64 1/4 (pow.f64 N -2)) (-.f64 1 (/.f64 -1/2 N))))
(*.f64 1 (+.f64 1 (/.f64 -1/2 N)))
(*.f64 (+.f64 1 (/.f64 -1/2 N)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))))
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))))
(*.f64 (fma.f64 -1/8 (pow.f64 N -3) 1) (/.f64 1 (fma.f64 (/.f64 -1/2 N) (-.f64 (/.f64 -1/2 N) 1) 1)))
(*.f64 (-.f64 1 (*.f64 1/4 (pow.f64 N -2))) (/.f64 1 (-.f64 1 (/.f64 -1/2 N))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 -1/2 N) (-.f64 (/.f64 -1/2 N) 1) 1) (fma.f64 -1/8 (pow.f64 N -3) 1)))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 -1/2 N)) (-.f64 1 (*.f64 1/4 (pow.f64 N -2)))))
(/.f64 (fma.f64 -1/8 (pow.f64 N -3) 1) (fma.f64 (/.f64 -1/2 N) (-.f64 (/.f64 -1/2 N) 1) 1))
(/.f64 (fma.f64 -1/8 (pow.f64 N -3) 1) (fma.f64 1/4 (pow.f64 N -2) (-.f64 1 (/.f64 -1/2 N))))
(/.f64 (-.f64 1 (*.f64 1/4 (pow.f64 N -2))) (-.f64 1 (/.f64 -1/2 N)))
(/.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 N -3) 1)) (neg.f64 (fma.f64 (/.f64 -1/2 N) (-.f64 (/.f64 -1/2 N) 1) 1)))
(/.f64 (neg.f64 (-.f64 1 (*.f64 1/4 (pow.f64 N -2)))) (neg.f64 (-.f64 1 (/.f64 -1/2 N))))
(/.f64 (fma.f64 1/4 (pow.f64 N -2) -1) (-.f64 (/.f64 -1/2 N) 1))
(pow.f64 (+.f64 1 (/.f64 -1/2 N)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 -1/2 N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 -1/2 N)))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 -1/2 N))))
(exp.f64 (log1p.f64 (/.f64 -1/2 N)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 -1/2 N)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 -1/2 N))))
(fma.f64 1 (/.f64 -1/2 N) 1)
(fma.f64 (/.f64 1 N) -1/2 1)
(fma.f64 -1/2 (/.f64 1 N) 1)
(fma.f64 (/.f64 -1/2 N) 1 1)
(fma.f64 (cbrt.f64 (/.f64 -1/2 N)) (cbrt.f64 (*.f64 1/4 (pow.f64 N -2))) 1)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -2))) (cbrt.f64 (/.f64 -1/2 N)) 1)
(fma.f64 (sqrt.f64 (/.f64 -1/2 N)) (sqrt.f64 (/.f64 -1/2 N)) 1)
(fma.f64 1/2 (/.f64 1 (neg.f64 N)) 1)
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)) 1)
(fma.f64 (*.f64 -1/2 (pow.f64 N -1/2)) (pow.f64 N -1/2) 1)

simplify169.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
776×fma-neg
604×div-sub
556×associate-*l*
542×associate-*r*
490×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052311349
1128110307
2534810229
Stop Event
1×node limit
Counts
361 → 320
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)))))
(log.f64 (*.f64 -1 (log.f64 N)))
(+.f64 (*.f64 -1 (/.f64 N (log.f64 N))) (log.f64 (*.f64 -1 (log.f64 N))))
(+.f64 (*.f64 -1 (/.f64 N (log.f64 N))) (+.f64 (log.f64 (*.f64 -1 (log.f64 N))) (*.f64 1/2 (*.f64 (pow.f64 N 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 N 3) (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))) (*.f64 2 (/.f64 1 (log.f64 N))))))) (+.f64 (*.f64 -1 (/.f64 N (log.f64 N))) (+.f64 (log.f64 (*.f64 -1 (log.f64 N))) (*.f64 1/2 (*.f64 (pow.f64 N 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))))))))
(log.f64 (/.f64 1 N))
(-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 3)))))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 3)))))
(/.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)
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(fma.f64 (pow.f64 N -1/2) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 N 3))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(fma.f64 (+.f64 -1 (neg.f64 (/.f64 -1/2 N))) (/.f64 1 (neg.f64 N)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (pow.f64 N -3) 1/3 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 N)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) N) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (sqrt.f64 N)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) 1) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) N) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) (cbrt.f64 N)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 N -1/2)) (pow.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3)))
(+.f64 0 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 1)
(*.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N)))
(*.f64 (+.f64 1 (/.f64 -1/2 N)) (/.f64 1 N))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (/.f64 1 N)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) (*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) (/.f64 1 N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (+.f64 -1 (neg.f64 (/.f64 -1/2 N))) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (sqrt.f64 N)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) 1) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) N))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)
(pow.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) -1)
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (neg.f64 N)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 -1/2 N)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 -1/2 N))) (/.f64 (*.f64 1/4 (pow.f64 N -2)) (-.f64 1 (/.f64 -1/2 N))))
(*.f64 1 (+.f64 1 (/.f64 -1/2 N)))
(*.f64 (+.f64 1 (/.f64 -1/2 N)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))))
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))))
(*.f64 (fma.f64 -1/8 (pow.f64 N -3) 1) (/.f64 1 (fma.f64 (/.f64 -1/2 N) (-.f64 (/.f64 -1/2 N) 1) 1)))
(*.f64 (-.f64 1 (*.f64 1/4 (pow.f64 N -2))) (/.f64 1 (-.f64 1 (/.f64 -1/2 N))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 -1/2 N) (-.f64 (/.f64 -1/2 N) 1) 1) (fma.f64 -1/8 (pow.f64 N -3) 1)))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 -1/2 N)) (-.f64 1 (*.f64 1/4 (pow.f64 N -2)))))
(/.f64 (fma.f64 -1/8 (pow.f64 N -3) 1) (fma.f64 (/.f64 -1/2 N) (-.f64 (/.f64 -1/2 N) 1) 1))
(/.f64 (fma.f64 -1/8 (pow.f64 N -3) 1) (fma.f64 1/4 (pow.f64 N -2) (-.f64 1 (/.f64 -1/2 N))))
(/.f64 (-.f64 1 (*.f64 1/4 (pow.f64 N -2))) (-.f64 1 (/.f64 -1/2 N)))
(/.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 N -3) 1)) (neg.f64 (fma.f64 (/.f64 -1/2 N) (-.f64 (/.f64 -1/2 N) 1) 1)))
(/.f64 (neg.f64 (-.f64 1 (*.f64 1/4 (pow.f64 N -2)))) (neg.f64 (-.f64 1 (/.f64 -1/2 N))))
(/.f64 (fma.f64 1/4 (pow.f64 N -2) -1) (-.f64 (/.f64 -1/2 N) 1))
(pow.f64 (+.f64 1 (/.f64 -1/2 N)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 -1/2 N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 -1/2 N)))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 -1/2 N))))
(exp.f64 (log1p.f64 (/.f64 -1/2 N)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 -1/2 N)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 -1/2 N))))
(fma.f64 1 (/.f64 -1/2 N) 1)
(fma.f64 (/.f64 1 N) -1/2 1)
(fma.f64 -1/2 (/.f64 1 N) 1)
(fma.f64 (/.f64 -1/2 N) 1 1)
(fma.f64 (cbrt.f64 (/.f64 -1/2 N)) (cbrt.f64 (*.f64 1/4 (pow.f64 N -2))) 1)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -2))) (cbrt.f64 (/.f64 -1/2 N)) 1)
(fma.f64 (sqrt.f64 (/.f64 -1/2 N)) (sqrt.f64 (/.f64 -1/2 N)) 1)
(fma.f64 1/2 (/.f64 1 (neg.f64 N)) 1)
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)) 1)
(fma.f64 (*.f64 -1/2 (pow.f64 N -1/2)) (pow.f64 N -1/2) 1)
(+.f64 0 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 1)
(*.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N)))
(*.f64 (+.f64 1 (/.f64 -1/2 N)) (/.f64 1 N))
(*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (/.f64 1 N)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) (*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) (/.f64 1 N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (+.f64 -1 (neg.f64 (/.f64 -1/2 N))) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (sqrt.f64 N)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) 1) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) N))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)
(pow.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) -1)
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (neg.f64 N)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 -1/2 N)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 -1/2 N))) (/.f64 (*.f64 1/4 (pow.f64 N -2)) (-.f64 1 (/.f64 -1/2 N))))
(*.f64 1 (+.f64 1 (/.f64 -1/2 N)))
(*.f64 (+.f64 1 (/.f64 -1/2 N)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))))
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))))
(*.f64 (fma.f64 -1/8 (pow.f64 N -3) 1) (/.f64 1 (fma.f64 (/.f64 -1/2 N) (-.f64 (/.f64 -1/2 N) 1) 1)))
(*.f64 (-.f64 1 (*.f64 1/4 (pow.f64 N -2))) (/.f64 1 (-.f64 1 (/.f64 -1/2 N))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 -1/2 N) (-.f64 (/.f64 -1/2 N) 1) 1) (fma.f64 -1/8 (pow.f64 N -3) 1)))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 -1/2 N)) (-.f64 1 (*.f64 1/4 (pow.f64 N -2)))))
(/.f64 (fma.f64 -1/8 (pow.f64 N -3) 1) (fma.f64 (/.f64 -1/2 N) (-.f64 (/.f64 -1/2 N) 1) 1))
(/.f64 (fma.f64 -1/8 (pow.f64 N -3) 1) (fma.f64 1/4 (pow.f64 N -2) (-.f64 1 (/.f64 -1/2 N))))
(/.f64 (-.f64 1 (*.f64 1/4 (pow.f64 N -2))) (-.f64 1 (/.f64 -1/2 N)))
(/.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 N -3) 1)) (neg.f64 (fma.f64 (/.f64 -1/2 N) (-.f64 (/.f64 -1/2 N) 1) 1)))
(/.f64 (neg.f64 (-.f64 1 (*.f64 1/4 (pow.f64 N -2)))) (neg.f64 (-.f64 1 (/.f64 -1/2 N))))
(/.f64 (fma.f64 1/4 (pow.f64 N -2) -1) (-.f64 (/.f64 -1/2 N) 1))
(pow.f64 (+.f64 1 (/.f64 -1/2 N)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 -1/2 N))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 -1/2 N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 -1/2 N)))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1/2 N)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 -1/2 N))))
(exp.f64 (log1p.f64 (/.f64 -1/2 N)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 -1/2 N)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 -1/2 N))))
(fma.f64 1 (/.f64 -1/2 N) 1)
(fma.f64 (/.f64 1 N) -1/2 1)
(fma.f64 -1/2 (/.f64 1 N) 1)
(fma.f64 (/.f64 -1/2 N) 1 1)
(fma.f64 (cbrt.f64 (/.f64 -1/2 N)) (cbrt.f64 (*.f64 1/4 (pow.f64 N -2))) 1)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -2))) (cbrt.f64 (/.f64 -1/2 N)) 1)
(fma.f64 (sqrt.f64 (/.f64 -1/2 N)) (sqrt.f64 (/.f64 -1/2 N)) 1)
(fma.f64 1/2 (/.f64 1 (neg.f64 N)) 1)
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)) 1)
(fma.f64 (*.f64 -1/2 (pow.f64 N -1/2)) (pow.f64 N -1/2) 1)
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))))
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(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)) 1))
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(/.f64 (-.f64 1 (*.f64 1/4 (pow.f64 N -2))) (+.f64 1 (/.f64 1/2 N)))
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(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -2))) (cbrt.f64 (/.f64 -1/2 N)) 1)
(fma.f64 (cbrt.f64 (/.f64 -1/2 N)) (cbrt.f64 (*.f64 1/4 (pow.f64 N -2))) 1)
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(fma.f64 1/2 (/.f64 1 (neg.f64 N)) 1)
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(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 N))))
(fma.f64 (*.f64 -1/2 (pow.f64 N -1/2)) (pow.f64 N -1/2) 1)
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eval282.0ms (5.1%)

Compiler

Compiled 7911 to 6115 computations (22.7% saved)

prune69.0ms (1.3%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New4791480
Fresh000
Picked033
Done044
Total4798487
Accurracy
100.0%
Counts
487 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓42.4%
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
✓44.5%
(/.f64 1 N)
✓42.4%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓43.4%
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 1/3 (pow.f64 N 3)))
42.4%
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N)))
✓57.6%
(neg.f64 (log.f64 N))
✓100.0%
(log1p.f64 (/.f64 1 N))
✓95.4%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
Compiler

Compiled 241 to 151 computations (37.3% saved)

regimes20.0ms (0.4%)

Counts
19 → 1
Calls
Call 1
Inputs
(/.f64 1 N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N)))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(neg.f64 (log.f64 N))
(log1p.f64 (/.f64 1 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(expm1.f64 (-.f64 (/.f64 1 N) (/.f64 1 (*.f64 N N))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (/.f64 1/3 (pow.f64 N 3)))
(+.f64 N (-.f64 (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))) (log.f64 N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (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) 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))))))
Outputs
(log1p.f64 (/.f64 1 N))
Calls

2 calls:

10.0ms
N
5.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
100.0%1N
100.0%1(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 189 to 110 computations (41.8% saved)

regimes10.0ms (0.2%)

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

1 calls:

9.0ms
N
Results
AccuracySegmentsBranch
98.5%2N
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes5.0ms (0.1%)

Accuracy

Total -1.8b remaining (-4.9%)

Threshold costs -1.8b (-4.9%)

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

1 calls:

4.0ms
N
Results
AccuracySegmentsBranch
44.5%1N
Compiler

Compiled 31 to 22 computations (29% saved)

bsearch16.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
0.019032717017928306
8.67943277193238
Results
14.0ms128×body256valid
Compiler

Compiled 124 to 97 computations (21.8% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01955
12555
22755
32855
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 6124895493223875/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(/.f64 1 N)
Outputs
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 6124895493223875/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(/.f64 1 N)
Compiler

Compiled 24 to 18 computations (25% saved)

soundness1.2s (22%)

Rules
1682×div-sub
1522×fma-neg
1512×pow1
1512×pow1
1396×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0921
11415
21915
32715
43615
55315
69015
712615
817515
921015
1023615
1123815
0715
114415
2188715
021135
1455127
26234127
054311478
1143810380
252399930
01261407
13361319
211011313
354461309
0715
114415
2188715
054311478
1143810380
252399930
086219721
1238317397
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×saturated
Compiler

Compiled 195 to 127 computations (34.9% saved)

end0.0ms (0%)

preprocess53.0ms (1%)

Compiler

Compiled 60 to 44 computations (26.7% saved)

Profiling

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