2log (problem 3.3.6)

Time bar (total: 9.5s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%3.2%96.8%0%0%0%0
100%3.2%0%96.8%0%0%0%1
Compiler

Compiled 15 to 11 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-log, time spent: 0.0ms, 0.0% of total-time
Operation ival-and, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival->, time spent: 0.0ms, 0.0% of total-time
Operation ival-<, time spent: 0.0ms, 0.0% of total-time

sample1.4s (14.4%)

Results
1.2s8255×256valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 638.0ms
Operation ival-log, time spent: 404.0ms, 63.0% of total-time
Operation ival-add, time spent: 73.0ms, 11.0% of total-time
Operation ival-sub, time spent: 48.0ms, 8.0% of total-time
Operation ival->, time spent: 43.0ms, 7.0% of total-time
Operation ival-<, time spent: 41.0ms, 6.0% of total-time
Operation const, time spent: 17.0ms, 3.0% of total-time
Operation ival-and, time spent: 11.0ms, 2.0% of total-time
Bogosity

preprocess212.0ms (2.2%)

Algorithm
egg-herbie
Rules
168×fma-define
132×fma-neg
66×sub-neg
44×unsub-neg
40×associate--r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2460-1(13.080331713150049)(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
00-0-1
00-0-(log.f64 N)
00-0-(log.f64 (+.f64 N 1))
00-0-(+.f64 N 1)
00-0-N
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017128
133104
263100
3109100
4175100
5268100
6346100
7405100
8457100
9492100
10518100
11520100
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N)))
(neg.f64 (-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N))))
Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (+.f64 1 (neg.f64 N))) (log.f64 (neg.f64 N)))
(-.f64 (log1p.f64 (neg.f64 N)) (log.f64 (neg.f64 N)))
(neg.f64 (-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N))))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (neg.f64 N))) (log.f64 (neg.f64 N))))
(neg.f64 (-.f64 (log1p.f64 (neg.f64 N)) (log.f64 (neg.f64 N))))
(-.f64 (log.f64 (neg.f64 N)) (log1p.f64 (neg.f64 N)))
Compiler

Compiled 48 to 32 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
Operation ival-log, time spent: 32.0ms, 59.0% of total-time
Operation ival-add, time spent: 18.0ms, 33.0% of total-time
Operation ival-sub, time spent: 3.0ms, 6.0% of total-time
Operation const, time spent: 2.0ms, 4.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune11.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
26.5%
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize40.0ms (0.4%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 N)
26.4%
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
Operation ival-log, time spent: 15.0ms, 49.0% of total-time
Operation composed, time spent: 12.0ms, 39.0% of total-time
Operation ival-add, time spent: 2.0ms, 6.0% of total-time
Operation ival-sub, time spent: 1.0ms, 3.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series4.0ms (0%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (-.f64 (log1p.f64 N) (log.f64 N))>
#<alt (log1p.f64 N)>
Outputs
#<alt (*.f64 -1 (log.f64 N))>
#<alt (-.f64 N (log.f64 N))>
#<alt (-.f64 (*.f64 N (+.f64 1 (*.f64 -1/2 N))) (log.f64 N))>
#<alt (-.f64 (*.f64 N (+.f64 1 (*.f64 N (-.f64 (*.f64 1/3 N) 1/2)))) (log.f64 N))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)>
#<alt (/.f64 1 N)>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt N>
#<alt (*.f64 N (+.f64 1 (*.f64 -1/2 N)))>
#<alt (*.f64 N (+.f64 1 (*.f64 N (-.f64 (*.f64 1/3 N) 1/2))))>
#<alt (*.f64 N (+.f64 1 (*.f64 N (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/4 N))) 1/2))))>
#<alt (*.f64 -1 (log.f64 (/.f64 1 N)))>
#<alt (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (/.f64 1/2 (pow.f64 N 2)))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))))>
Calls

6 calls:

TimeVariablePointExpression
1.0ms
N
@-inf
(- (log (+ 1 N)) (log N))
1.0ms
N
@inf
(- (log (+ 1 N)) (log N))
0.0ms
N
@0
(- (log (+ 1 N)) (log N))
0.0ms
N
@-inf
(log (+ 1 N))
0.0ms
N
@inf
(log (+ 1 N))

rewrite282.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
788×prod-diff
724×unpow-prod-down
446×log1p-expm1-u
446×expm1-log1p-u
420×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
19229
2120129
Stop Event
node limit
Counts
2 → 128
Calls
Call 1
Inputs
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.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)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 -1 (log.f64 N) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (E.f64)))
(*.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 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.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 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (pow.f64 1 1/3) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 3) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.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)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (neg.f64 (log.f64 N)) 2)) (-.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)) 2) 1/2)
(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)
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) -1)
(pow.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(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))))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(fma.f64 (log1p.f64 N) 1 (neg.f64 (log.f64 N)))
(fma.f64 (log1p.f64 N) 1 (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 1 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 1 (neg.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (cbrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.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)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.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)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 N))) 2) (cbrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 -1 (log.f64 N) (log1p.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 0 (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (log.f64 (cbrt.f64 (+.f64 N 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N 2) N))))
(-.f64 (+.f64 1 (log1p.f64 N)) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log.f64 (-.f64 1 N)))
(*.f64 (log1p.f64 N) 1)
(*.f64 (log1p.f64 N) (log.f64 (E.f64)))
(*.f64 1 (log1p.f64 N))
(*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 1 1/3) (log1p.f64 N))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) 3) (cbrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 1)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2)
(pow.f64 (E.f64) (log.f64 (log1p.f64 N)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (cbrt.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (sqrt.f64 (log.f64 (log1p.f64 N))))
(sqrt.f64 (pow.f64 (log1p.f64 N) 2))
(log.f64 (+.f64 N 1))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3))
(expm1.f64 (log1p.f64 (log1p.f64 N)))
(exp.f64 (log.f64 (log1p.f64 N)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 2))

simplify147.0ms (1.6%)

Algorithm
egg-herbie
Rules
948×div-sub
692×distribute-lft-in
618×fma-neg
594×distribute-rgt-in
556×associate-+l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03505046
17864788
221574729
369644723
Stop Event
node limit
Counts
152 → 219
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(-.f64 N (log.f64 N))
(-.f64 (*.f64 N (+.f64 1 (*.f64 -1/2 N))) (log.f64 N))
(-.f64 (*.f64 N (+.f64 1 (*.f64 N (-.f64 (*.f64 1/3 N) 1/2)))) (log.f64 N))
(/.f64 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)
(/.f64 1 N)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))
N
(*.f64 N (+.f64 1 (*.f64 -1/2 N)))
(*.f64 N (+.f64 1 (*.f64 N (-.f64 (*.f64 1/3 N) 1/2))))
(*.f64 N (+.f64 1 (*.f64 N (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/4 N))) 1/2))))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) 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)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 -1 (log.f64 N) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (E.f64)))
(*.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 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.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 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (pow.f64 1 1/3) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 3) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.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)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (pow.f64 (neg.f64 (log.f64 N)) 2) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (neg.f64 (log.f64 N)) 2)) (-.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)) 2) 1/2)
(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)
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (/.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) -1)
(pow.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(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))))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(fma.f64 (log1p.f64 N) 1 (neg.f64 (log.f64 N)))
(fma.f64 (log1p.f64 N) 1 (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1 (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 1 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 1 (neg.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (neg.f64 (log.f64 N)))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (neg.f64 (cbrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.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)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.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)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 N))) 2) (cbrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 -1 (log.f64 N) (log1p.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 0 (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (log.f64 (cbrt.f64 (+.f64 N 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N 2) N))))
(-.f64 (+.f64 1 (log1p.f64 N)) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log.f64 (-.f64 1 N)))
(*.f64 (log1p.f64 N) 1)
(*.f64 (log1p.f64 N) (log.f64 (E.f64)))
(*.f64 1 (log1p.f64 N))
(*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 1 1/3) (log1p.f64 N))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) 3) (cbrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 1)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2)
(pow.f64 (E.f64) (log.f64 (log1p.f64 N)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (cbrt.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (sqrt.f64 (log.f64 (log1p.f64 N))))
(sqrt.f64 (pow.f64 (log1p.f64 N) 2))
(log.f64 (+.f64 N 1))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3))
(expm1.f64 (log1p.f64 (log1p.f64 N)))
(exp.f64 (log.f64 (log1p.f64 N)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 2))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(-.f64 (*.f64 N (+.f64 1 (*.f64 -1/2 N))) (log.f64 N))
(-.f64 (*.f64 N (+.f64 1 (*.f64 N -1/2))) (log.f64 N))
(-.f64 (*.f64 N (fma.f64 N -1/2 1)) (log.f64 N))
(-.f64 (*.f64 N (+.f64 1 (*.f64 N (-.f64 (*.f64 1/3 N) 1/2)))) (log.f64 N))
(-.f64 (*.f64 N (+.f64 1 (*.f64 N (fma.f64 1/3 N -1/2)))) (log.f64 N))
(fma.f64 N (fma.f64 N (fma.f64 N 1/3 -1/2) 1) (neg.f64 (log.f64 N)))
(/.f64 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/2 N) (/.f64 1/4 (pow.f64 N 3)))) N)
(/.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) (/.f64 1/4 (pow.f64 N 3)))) N)
(/.f64 (+.f64 1 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) (/.f64 -1/4 (pow.f64 N 3)))) N)
(/.f64 1 N)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) -1) N))
(/.f64 (fma.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) -1) (neg.f64 N))
(/.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) (neg.f64 N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))
(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N) -1/2) N) -1) N))
(/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N) -1/2) N) -1) (neg.f64 N))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (neg.f64 N))
N
(*.f64 N (+.f64 1 (*.f64 -1/2 N)))
(*.f64 N (+.f64 1 (*.f64 N -1/2)))
(*.f64 N (fma.f64 N -1/2 1))
(*.f64 N (+.f64 1 (*.f64 N (-.f64 (*.f64 1/3 N) 1/2))))
(*.f64 N (+.f64 1 (*.f64 N (fma.f64 1/3 N -1/2))))
(*.f64 N (fma.f64 N (fma.f64 N 1/3 -1/2) 1))
(*.f64 N (+.f64 1 (*.f64 N (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/4 N))) 1/2))))
(*.f64 N (+.f64 1 (*.f64 N (fma.f64 N (+.f64 1/3 (*.f64 N -1/4)) -1/2))))
(*.f64 N (fma.f64 N (fma.f64 N (fma.f64 N -1/4 1/3) -1/2) 1))
(*.f64 -1 (log.f64 (/.f64 1 N)))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))
(fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N))
(+.f64 (log.f64 N) (/.f64 1 N))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (log.f64 N) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (log.f64 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (log.f64 N) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(+.f64 (log.f64 N) (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N)))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 N)) (/.f64 1 N)))
(+.f64 (/.f64 1 N) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))))
(+.f64 (log.f64 -1) (*.f64 -1 (+.f64 (log.f64 (/.f64 -1 N)) (/.f64 (+.f64 (/.f64 1/2 N) -1) N))))
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))))
(+.f64 (log.f64 -1) (*.f64 -1 (+.f64 (log.f64 (/.f64 -1 N)) (/.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) -1) N))))
(-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (/.f64 (fma.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) -1) N))
(-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (/.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N))
(+.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)) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 -1 (log.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.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 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (E.f64)))
(-.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 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (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 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 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 (pow.f64 1 1/3) (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 3) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))
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(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 N))) 2) (cbrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 -1 (log.f64 N) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 -1 (log.f64 N) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (*.f64 0 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 0)
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 -1 (log.f64 N) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (*.f64 0 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 0)
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (neg.f64 (log.f64 N)) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 -1 (log.f64 N) (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (*.f64 0 (log.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 0)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 0 (log1p.f64 N))
(log1p.f64 N)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (log.f64 (cbrt.f64 (+.f64 N 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 N 1))))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N 2) N))))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log1p.f64 (-.f64 (pow.f64 N 2) N)))
(-.f64 (+.f64 1 (log1p.f64 N)) 1)
(log1p.f64 N)
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log.f64 (-.f64 1 N)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N 2))) (log1p.f64 (neg.f64 N)))
(*.f64 (log1p.f64 N) 1)
(log1p.f64 N)
(*.f64 (log1p.f64 N) (log.f64 (E.f64)))
(log1p.f64 N)
(*.f64 1 (log1p.f64 N))
(log1p.f64 N)
(*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(log1p.f64 N)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))
(log1p.f64 N)
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))
(log1p.f64 N)
(*.f64 (pow.f64 1 1/3) (log1p.f64 N))
(log1p.f64 N)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(log1p.f64 N)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) 3) (cbrt.f64 (log1p.f64 N)))
(log1p.f64 N)
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 8)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 5/2)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 1)
(log1p.f64 N)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3)
(log1p.f64 N)
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/2)
(log1p.f64 N)
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)
(log1p.f64 N)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2)
(log1p.f64 N)
(pow.f64 (E.f64) (log.f64 (log1p.f64 N)))
(log1p.f64 N)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 N))) 2)) (cbrt.f64 (log.f64 (log1p.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 N)))) (sqrt.f64 (log.f64 (log1p.f64 N))))
(sqrt.f64 (pow.f64 (log1p.f64 N) 2))
(log1p.f64 N)
(log.f64 (+.f64 N 1))
(log1p.f64 N)
(cbrt.f64 (pow.f64 (log1p.f64 N) 3))
(log1p.f64 N)
(expm1.f64 (log1p.f64 (log1p.f64 N)))
(log1p.f64 N)
(exp.f64 (log.f64 (log1p.f64 N)))
(log1p.f64 N)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(log1p.f64 N)
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) 3) 1/3))
(log1p.f64 N)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 2))
(log1p.f64 N)

eval115.0ms (1.2%)

Compiler

Compiled 3109 to 1418 computations (54.4% saved)

prune41.0ms (0.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New20316219
Fresh000
Picked011
Done000
Total20317220
Accuracy
99.5%
Counts
220 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
28.2%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
27.3%
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
26.5%
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
26.5%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
26.5%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
94.2%
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
91.4%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
95.6%
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (neg.f64 N))
94.2%
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
82.3%
(/.f64 1 N)
26.5%
(-.f64 (log1p.f64 N) (log.f64 N))
27.4%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
26.5%
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
28.4%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
29.5%
(log.f64 (/.f64 (+.f64 N 1) N))
26.5%
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
Compiler

Compiled 456 to 296 computations (35.1% saved)

localize306.0ms (3.2%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.1%
(pow.f64 (log1p.f64 N) 2)
98.9%
(pow.f64 (log1p.f64 N) 3)
98.9%
(pow.f64 (log.f64 N) 3)
27.6%
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
100.0%
(log1p.f64 N)
99.8%
(sqrt.f64 (log.f64 N))
27.5%
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
99.9%
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
99.8%
(-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N))
99.3%
(/.f64 1/3 (pow.f64 N 2))
99.9%
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (neg.f64 N))
99.9%
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)
99.8%
(+.f64 1/3 (/.f64 -1/4 N))
99.4%
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
Compiler

Compiled 214 to 125 computations (41.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
Operation ival-div, time spent: 52.0ms, 31.0% of total-time
Operation ival-add, time spent: 28.0ms, 17.0% of total-time
Operation ival-pow, time spent: 28.0ms, 17.0% of total-time
Operation composed, time spent: 20.0ms, 12.0% of total-time
Operation ival-log, time spent: 11.0ms, 7.0% of total-time
Operation ival-sub, time spent: 9.0ms, 5.0% of total-time
Operation const, time spent: 7.0ms, 4.0% of total-time
Operation ival-mult, time spent: 5.0ms, 3.0% of total-time
Operation ival-sqrt, time spent: 3.0ms, 2.0% of total-time
Operation ival-neg, time spent: 2.0ms, 1.0% of total-time

series83.0ms (0.9%)

Counts
13 → 136
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)>
#<alt (+.f64 1/3 (/.f64 -1/4 N))>
#<alt (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)>
#<alt (/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (neg.f64 N))>
#<alt (/.f64 1/3 (pow.f64 N 2))>
#<alt (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N))>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)>
#<alt (fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))>
#<alt (sqrt.f64 (log.f64 N))>
#<alt (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))>
#<alt (pow.f64 (log.f64 N) 3)>
#<alt (pow.f64 (log1p.f64 N) 3)>
#<alt (pow.f64 (log1p.f64 N) 2)>
Outputs
#<alt (/.f64 -1/4 (pow.f64 N 2))>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 2))>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 2))>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 2))>
#<alt (/.f64 1/3 N)>
#<alt (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)>
#<alt (/.f64 1/3 N)>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N))>
#<alt (/.f64 -1/4 N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) N)>
#<alt 1/3>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<alt 1/3>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<alt (/.f64 -1/4 (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4) (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4) (pow.f64 N 3))>
#<alt (/.f64 -1/2 N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)>
#<alt (/.f64 -1/2 N)>
#<alt (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))>
#<alt (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))) N))>
#<alt (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))) N))>
#<alt (/.f64 -1/4 (pow.f64 N 4))>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 4))>
#<alt (/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4) (pow.f64 N 4))>
#<alt (/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)>
#<alt (/.f64 1 N)>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/.f64 1/3 (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 2))>
#<alt 1>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))>
#<alt 1>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N)))>
#<alt (/.f64 1/3 (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 1 N)>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (*.f64 -1 (log.f64 N))>
#<alt (+.f64 N (*.f64 -1 (log.f64 N)))>
#<alt (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 N (+.f64 1 (*.f64 -1/2 N))))>
#<alt (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 N (+.f64 1 (*.f64 N (-.f64 (*.f64 1/3 N) 1/2)))))>
#<alt (+.f64 (log.f64 (/.f64 1 N)) (*.f64 -1 (log.f64 (/.f64 1 N))))>
#<alt (+.f64 (log.f64 (/.f64 1 N)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)))>
#<alt (-.f64 (+.f64 (log.f64 (/.f64 1 N)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))) (/.f64 1/2 (pow.f64 N 2)))>
#<alt (-.f64 (+.f64 (log.f64 (/.f64 1 N)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) (/.f64 1/2 (pow.f64 N 2)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (/.f64 1 N))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N)))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N)))))>
#<alt (*.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1))>
#<alt (*.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1))>
#<alt (*.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1))>
#<alt (*.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1))>
#<alt (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))>
#<alt (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))>
#<alt (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))>
#<alt (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))>
#<alt (*.f64 -1 (pow.f64 (log.f64 N) 3))>
#<alt (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))>
#<alt (-.f64 (*.f64 (pow.f64 N 3) (+.f64 1 (*.f64 -3/2 N))) (pow.f64 (log.f64 N) 3))>
#<alt (-.f64 (*.f64 (pow.f64 N 3) (+.f64 1 (*.f64 N (-.f64 (*.f64 7/4 N) 3/2)))) (pow.f64 (log.f64 N) 3))>
#<alt (/.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2)) N)>
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#<alt (/.f64 (-.f64 (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)) (+.f64 (*.f64 -4/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (+.f64 11/12 (*.f64 1/2 (log.f64 (/.f64 1 N))))) (pow.f64 N 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (+.f64 1 (log.f64 (/.f64 1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) 1)) (pow.f64 N 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (pow.f64 N 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 3))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (*.f64 2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (*.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2))))))))))))) (/.f64 1 (pow.f64 N 3))) N)>
#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (*.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N))>
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#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (*.f64 -1/2 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (*.f64 2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 (+.f64 11/12 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))))) N)) (+.f64 (*.f64 -1/3 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (*.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))))) N)) (+.f64 (*.f64 -1/2 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))) N)) (*.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)))) N))>
#<alt (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3))>
#<alt (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3))>
#<alt (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3))>
#<alt (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3))>
#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)>
#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)>
#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)>
#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)>
#<alt (pow.f64 N 3)>
#<alt (*.f64 (pow.f64 N 3) (+.f64 1 (*.f64 -3/2 N)))>
#<alt (*.f64 (pow.f64 N 3) (+.f64 1 (*.f64 N (-.f64 (*.f64 7/4 N) 3/2))))>
#<alt (*.f64 (pow.f64 N 3) (+.f64 1 (*.f64 N (-.f64 (*.f64 N (+.f64 7/4 (*.f64 -15/8 N))) 3/2))))>
#<alt (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3))>
#<alt (+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)))>
#<alt (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (+.f64 1 (log.f64 (/.f64 1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N))))))>
#<alt (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (+.f64 1 (log.f64 (/.f64 1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) 1)) (pow.f64 N 3))) (+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 3))) (+.f64 (*.f64 2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (+.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N))))))))))>
#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)>
#<alt (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (*.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3))>
#<alt (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) N)) (*.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)))) N)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3))>
#<alt (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (*.f64 -1/3 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (*.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))))) N)) (+.f64 (*.f64 -1/2 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))) N)) (*.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)))) N)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3))>
#<alt (pow.f64 N 2)>
#<alt (*.f64 (pow.f64 N 2) (+.f64 1 (*.f64 -1 N)))>
#<alt (*.f64 (pow.f64 N 2) (+.f64 1 (*.f64 N (-.f64 (*.f64 11/12 N) 1))))>
#<alt (*.f64 (pow.f64 N 2) (+.f64 1 (*.f64 N (-.f64 (*.f64 N (+.f64 11/12 (*.f64 -5/6 N))) 1))))>
#<alt (pow.f64 (log.f64 (/.f64 1 N)) 2)>
#<alt (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)) (pow.f64 (log.f64 (/.f64 1 N)) 2))>
#<alt (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)) (+.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2))))>
#<alt (-.f64 (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2))))) (/.f64 1 (pow.f64 N 3)))>
#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)>
#<alt (+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))>
#<alt (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) N))) N)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))>
#<alt (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) N)))) N))) N)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))>
Calls

39 calls:

TimeVariablePointExpression
26.0ms
N
@0
(sqrt (log N))
17.0ms
N
@-inf
(sqrt (log N))
9.0ms
N
@inf
(sqrt (log N))
5.0ms
N
@inf
(- (pow (log (+ 1 N)) 3) (pow (log N) 3))
3.0ms
N
@-inf
(- (pow (log (+ 1 N)) 3) (pow (log N) 3))

rewrite134.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
283×log1p-expm1-u
283×expm1-log1p-u
271×pow1
270×add-cube-cbrt
269×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038368
1628335
Stop Event
node limit
Counts
13 → 360
Calls
Call 1
Inputs
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(+.f64 1/3 (/.f64 -1/4 N))
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (neg.f64 N))
(/.f64 1/3 (pow.f64 N 2))
(-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
(sqrt.f64 (log.f64 N))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(pow.f64 (log.f64 N) 3)
(pow.f64 (log1p.f64 N) 3)
(pow.f64 (log1p.f64 N) 2)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N))) 1)
(*.f64 (+.f64 1/3 (/.f64 -1/4 N)) (/.f64 -1 N))
(*.f64 1 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N))
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(pow.f64 (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) 2)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 2))
(log.f64 (*.f64 N (+.f64 1 N)))
(log.f64 (+.f64 1 (-.f64 (*.f64 N (+.f64 1 N)) 1)))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 3))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(log1p.f64 (-.f64 (*.f64 N (+.f64 1 N)) 1))
(exp.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) 1))
(+.f64 0 (sqrt.f64 (log.f64 N)))
(+.f64 0 (*.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (cbrt.f64 (sqrt.f64 (log.f64 N)))))
(+.f64 0 (*.f64 (neg.f64 (pow.f64 (log.f64 N) 1/4)) (pow.f64 (log.f64 N) 1/4)))
(-.f64 0 (sqrt.f64 (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 N)))) 1)
(*.f64 -1 (sqrt.f64 (log.f64 N)))
(*.f64 1 (sqrt.f64 (log.f64 N)))
(*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (sqrt.f64 (log.f64 N))))
(*.f64 (pow.f64 (log.f64 N) 1/4) (pow.f64 (log.f64 N) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) 1/2) (pow.f64 (cbrt.f64 (log.f64 N)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))) (sqrt.f64 (cbrt.f64 (log.f64 N))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 N) 3/2)) (+.f64 0 (+.f64 (log.f64 N) (*.f64 0 (sqrt.f64 (log.f64 N))))))
(/.f64 (-.f64 0 (log.f64 N)) (sqrt.f64 (log.f64 N)))
(pow.f64 (log.f64 N) 1/2)
(pow.f64 (sqrt.f64 (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 N))) 3)
(pow.f64 (pow.f64 (log.f64 N) 1/4) 2)
(pow.f64 (pow.f64 (log.f64 N) 3/2) 1/3)
(neg.f64 (sqrt.f64 (log.f64 N)))
(fabs.f64 (sqrt.f64 (log.f64 N)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 N)))))
(cbrt.f64 (pow.f64 (log.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 N))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 N))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 N))) 1))
(+.f64 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3)))
(+.f64 (pow.f64 (log1p.f64 N) 3) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (log.f64 N) 2)))
(+.f64 (pow.f64 (log1p.f64 N) 3) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (log.f64 N)))
(+.f64 (pow.f64 (log1p.f64 N) 3) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 3/2)) (pow.f64 (log.f64 N) 3/2)))
(+.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (log.f64 N) (pow.f64 (log.f64 N) 3)))
(+.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (neg.f64 (log.f64 N)) (pow.f64 (log.f64 N) 2) (pow.f64 (log.f64 N) 3)))
(+.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3/2)) (pow.f64 (log.f64 N) 3/2) (pow.f64 (log.f64 N) 3)))
(+.f64 (fma.f64 1 (pow.f64 (log1p.f64 N) 3) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (*.f64 (pow.f64 (log.f64 N) 3) 1)))
(+.f64 (fma.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) 2) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (*.f64 (pow.f64 (log.f64 N) 3) 1)))
(+.f64 (fma.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (*.f64 (pow.f64 (log.f64 N) 3) 1)))
(+.f64 (fma.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (*.f64 (pow.f64 (log.f64 N) 3) 1)))
(*.f64 1 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 3)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 3))) (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 6) (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (neg.f64 (pow.f64 (log.f64 N) 3))) (*.f64 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (neg.f64 (pow.f64 (log.f64 N) 3)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3))))
(pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 2)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 1))
(fma.f64 1 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3)))
(fma.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 3)))
(fma.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) 3)))
(fma.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2) (neg.f64 (pow.f64 (log.f64 N) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 N) 3))) 1)
(*.f64 1 (pow.f64 (log.f64 N) 3))
(*.f64 (log.f64 N) (pow.f64 (log.f64 N) 2))
(*.f64 (pow.f64 (log.f64 N) 2) (log.f64 N))
(*.f64 (pow.f64 (log.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) 3) (log.f64 N))
(sqrt.f64 (pow.f64 (log.f64 N) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 N) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 3))))
(cbrt.f64 (pow.f64 (log.f64 N) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 N) 3)))
(exp.f64 (*.f64 3 (log.f64 (log.f64 N))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 3))) 1)
(*.f64 1 (pow.f64 (log1p.f64 N) 3))
(*.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) 2))
(*.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N))
(*.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) 3) (pow.f64 (sqrt.f64 (log1p.f64 N)) 3))
(sqrt.f64 (pow.f64 (log1p.f64 N) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 3))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 3)))
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2))) 1)
(*.f64 1 (pow.f64 (log1p.f64 N) 2))
(*.f64 (log1p.f64 N) (log1p.f64 N))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(sqrt.f64 (pow.f64 (log1p.f64 N) 4))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 2))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 2)))
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 N))) 1))

simplify259.0ms (2.7%)

Algorithm
egg-herbie
Rules
1268×fma-define
788×associate-+r+
608×associate-+l+
568×distribute-rgt-in
566×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0117524450
1306922359
Stop Event
node limit
Counts
496 → 741
Calls
Call 1
Inputs
(/.f64 -1/4 (pow.f64 N 2))
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 2))
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 2))
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 2))
(/.f64 1/3 N)
(/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 1/3 N)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N))
(/.f64 -1/4 N)
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) N)
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) N)
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) N)
1/3
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
1/3
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(/.f64 -1/4 (pow.f64 N 3))
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 3))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4) (pow.f64 N 3))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4) (pow.f64 N 3))
(/.f64 -1/2 N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 -1/2 N)
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))
(*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))) N))
(*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))) N))
(/.f64 -1/4 (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4) (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))
(/.f64 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)
(/.f64 1 N)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 2))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N)))
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 3))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
(/.f64 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 1 N)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 (*.f64 -1 (log.f64 N)) (*.f64 N (+.f64 1 (*.f64 -1/2 N))))
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) 1/2) (pow.f64 (cbrt.f64 (log.f64 N)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))) (sqrt.f64 (cbrt.f64 (log.f64 N))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 N) 3/2)) (+.f64 0 (+.f64 (log.f64 N) (*.f64 0 (sqrt.f64 (log.f64 N))))))
(/.f64 (-.f64 0 (log.f64 N)) (sqrt.f64 (log.f64 N)))
(pow.f64 (log.f64 N) 1/2)
(pow.f64 (sqrt.f64 (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 N))) 3)
(pow.f64 (pow.f64 (log.f64 N) 1/4) 2)
(pow.f64 (pow.f64 (log.f64 N) 3/2) 1/3)
(neg.f64 (sqrt.f64 (log.f64 N)))
(fabs.f64 (sqrt.f64 (log.f64 N)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 N)))))
(cbrt.f64 (pow.f64 (log.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 N))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 N))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 N))) 1))
(+.f64 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3)))
(+.f64 (pow.f64 (log1p.f64 N) 3) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (log.f64 N) 2)))
(+.f64 (pow.f64 (log1p.f64 N) 3) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (log.f64 N)))
(+.f64 (pow.f64 (log1p.f64 N) 3) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 3/2)) (pow.f64 (log.f64 N) 3/2)))
(+.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (log.f64 N) (pow.f64 (log.f64 N) 3)))
(+.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (neg.f64 (log.f64 N)) (pow.f64 (log.f64 N) 2) (pow.f64 (log.f64 N) 3)))
(+.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3/2)) (pow.f64 (log.f64 N) 3/2) (pow.f64 (log.f64 N) 3)))
(+.f64 (fma.f64 1 (pow.f64 (log1p.f64 N) 3) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (*.f64 (pow.f64 (log.f64 N) 3) 1)))
(+.f64 (fma.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) 2) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (*.f64 (pow.f64 (log.f64 N) 3) 1)))
(+.f64 (fma.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (*.f64 (pow.f64 (log.f64 N) 3) 1)))
(+.f64 (fma.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (*.f64 (pow.f64 (log.f64 N) 3) 1)))
(*.f64 1 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 3)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 3))) (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 6) (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (neg.f64 (pow.f64 (log.f64 N) 3))) (*.f64 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (neg.f64 (pow.f64 (log.f64 N) 3)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3))))
(pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 2)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 1))
(fma.f64 1 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3)))
(fma.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 3)))
(fma.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) 3)))
(fma.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2) (neg.f64 (pow.f64 (log.f64 N) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 N) 3))) 1)
(*.f64 1 (pow.f64 (log.f64 N) 3))
(*.f64 (log.f64 N) (pow.f64 (log.f64 N) 2))
(*.f64 (pow.f64 (log.f64 N) 2) (log.f64 N))
(*.f64 (pow.f64 (log.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) 3) (log.f64 N))
(sqrt.f64 (pow.f64 (log.f64 N) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 N) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 3))))
(cbrt.f64 (pow.f64 (log.f64 N) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 N) 3)))
(exp.f64 (*.f64 3 (log.f64 (log.f64 N))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 3))) 1)
(*.f64 1 (pow.f64 (log1p.f64 N) 3))
(*.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) 2))
(*.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N))
(*.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) 3) (pow.f64 (sqrt.f64 (log1p.f64 N)) 3))
(sqrt.f64 (pow.f64 (log1p.f64 N) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 3))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 3)))
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2))) 1)
(*.f64 1 (pow.f64 (log1p.f64 N) 2))
(*.f64 (log1p.f64 N) (log1p.f64 N))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(sqrt.f64 (pow.f64 (log1p.f64 N) 4))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 2))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 2)))
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 N))) 1))
Outputs
(/.f64 -1/4 (pow.f64 N 2))
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 2))
(/.f64 (fma.f64 1/3 N -1/4) (pow.f64 N 2))
(/.f64 (fma.f64 N 1/3 -1/4) (pow.f64 N 2))
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 2))
(/.f64 (fma.f64 1/3 N -1/4) (pow.f64 N 2))
(/.f64 (fma.f64 N 1/3 -1/4) (pow.f64 N 2))
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 2))
(/.f64 (fma.f64 1/3 N -1/4) (pow.f64 N 2))
(/.f64 (fma.f64 N 1/3 -1/4) (pow.f64 N 2))
(/.f64 1/3 N)
(/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(/.f64 1/3 N)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N))
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N))
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N))
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(/.f64 -1/4 N)
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) N)
(/.f64 (fma.f64 1/3 N -1/4) N)
(/.f64 (fma.f64 N 1/3 -1/4) N)
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) N)
(/.f64 (fma.f64 1/3 N -1/4) N)
(/.f64 (fma.f64 N 1/3 -1/4) N)
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) N)
(/.f64 (fma.f64 1/3 N -1/4) N)
(/.f64 (fma.f64 N 1/3 -1/4) N)
1/3
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
1/3
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(/.f64 -1/4 (pow.f64 N 3))
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 3))
(/.f64 (fma.f64 1/3 N -1/4) (pow.f64 N 3))
(/.f64 (fma.f64 N 1/3 -1/4) (pow.f64 N 3))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4) (pow.f64 N 3))
(/.f64 (fma.f64 N (+.f64 1/3 (*.f64 N -1/2)) -1/4) (pow.f64 N 3))
(/.f64 (fma.f64 N (fma.f64 N -1/2 1/3) -1/4) (pow.f64 N 3))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4) (pow.f64 N 3))
(/.f64 (fma.f64 N (+.f64 1/3 (*.f64 N -1/2)) -1/4) (pow.f64 N 3))
(/.f64 (fma.f64 N (fma.f64 N -1/2 1/3) -1/4) (pow.f64 N 3))
(/.f64 -1/2 N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)
(/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (-.f64 (/.f64 1/3 N) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (-.f64 (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1/4 (pow.f64 N 2))) N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (-.f64 (/.f64 1/3 N) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (-.f64 (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1/4 (pow.f64 N 2))) N)
(/.f64 -1/2 N)
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))
(neg.f64 (/.f64 (-.f64 1/2 (/.f64 1/3 N)) N))
(/.f64 (+.f64 1/2 (/.f64 -1/3 N)) (neg.f64 N))
(*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))) N))
(neg.f64 (/.f64 (+.f64 1/2 (neg.f64 (/.f64 (-.f64 1/3 (/.f64 1/4 N)) N))) N))
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)
(*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))) N))
(neg.f64 (/.f64 (+.f64 1/2 (neg.f64 (/.f64 (-.f64 1/3 (/.f64 1/4 N)) N))) N))
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)
(/.f64 -1/4 (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 4))
(/.f64 (fma.f64 1/3 N -1/4) (pow.f64 N 4))
(/.f64 (fma.f64 N 1/3 -1/4) (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4) (pow.f64 N 4))
(/.f64 (fma.f64 N (+.f64 1/3 (*.f64 N -1/2)) -1/4) (pow.f64 N 4))
(/.f64 (fma.f64 N (fma.f64 N -1/2 1/3) -1/4) (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))
(/.f64 (fma.f64 N (+.f64 1/3 (*.f64 N (+.f64 N -1/2))) -1/4) (pow.f64 N 4))
(/.f64 (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) (pow.f64 N 4))
(/.f64 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (+.f64 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)
(/.f64 (+.f64 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N)))) N)
(/.f64 (-.f64 (+.f64 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) (/.f64 1/4 (pow.f64 N 3))) N)
(/.f64 1 N)
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(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (neg.f64 (pow.f64 (log.f64 N) 3)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (+.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)))
(pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 1)
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 3)
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3) 1/3)
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 2)
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 2))
(fabs.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(exp.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 1))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(fma.f64 1 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3)))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(fma.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 3)))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(fma.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) 3)))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(fma.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2) (neg.f64 (pow.f64 (log.f64 N) 3)))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 N) 3))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 3)))
(*.f64 1 (pow.f64 (log.f64 N) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 N)) 3))
(pow.f64 (log.f64 N) 3)
(*.f64 (log.f64 N) (pow.f64 (log.f64 N) 2))
(neg.f64 (pow.f64 (neg.f64 (log.f64 N)) 3))
(pow.f64 (log.f64 N) 3)
(*.f64 (pow.f64 (log.f64 N) 2) (log.f64 N))
(neg.f64 (pow.f64 (neg.f64 (log.f64 N)) 3))
(pow.f64 (log.f64 N) 3)
(*.f64 (pow.f64 (log.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))
(neg.f64 (pow.f64 (neg.f64 (log.f64 N)) 3))
(pow.f64 (log.f64 N) 3)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) 3) (log.f64 N))
(neg.f64 (pow.f64 (neg.f64 (log.f64 N)) 3))
(pow.f64 (log.f64 N) 3)
(sqrt.f64 (pow.f64 (log.f64 N) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 N) 3)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 N)) 3))
(pow.f64 (log.f64 N) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 3))))
(neg.f64 (pow.f64 (neg.f64 (log.f64 N)) 3))
(pow.f64 (log.f64 N) 3)
(cbrt.f64 (pow.f64 (log.f64 N) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 N) 3)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 N)) 3))
(pow.f64 (log.f64 N) 3)
(exp.f64 (*.f64 3 (log.f64 (log.f64 N))))
(neg.f64 (pow.f64 (neg.f64 (log.f64 N)) 3))
(pow.f64 (log.f64 N) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 N))) 1))
(neg.f64 (pow.f64 (neg.f64 (log.f64 N)) 3))
(pow.f64 (log.f64 N) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 3))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 3)))
(*.f64 1 (pow.f64 (log1p.f64 N) 3))
(pow.f64 (log1p.f64 N) 3)
(*.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) 2))
(pow.f64 (log1p.f64 N) 3)
(*.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N))
(pow.f64 (log1p.f64 N) 3)
(*.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2))
(pow.f64 (log1p.f64 N) 3)
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) 3) (pow.f64 (sqrt.f64 (log1p.f64 N)) 3))
(pow.f64 (log1p.f64 N) 3)
(sqrt.f64 (pow.f64 (log1p.f64 N) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 3)))
(pow.f64 (log1p.f64 N) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 3))))
(pow.f64 (log1p.f64 N) 3)
(cbrt.f64 (pow.f64 (log1p.f64 N) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 3)))
(pow.f64 (log1p.f64 N) 3)
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 N))) 1))
(pow.f64 (log1p.f64 N) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2)))
(*.f64 1 (pow.f64 (log1p.f64 N) 2))
(pow.f64 (log1p.f64 N) 2)
(*.f64 (log1p.f64 N) (log1p.f64 N))
(pow.f64 (log1p.f64 N) 2)
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(sqrt.f64 (pow.f64 (log1p.f64 N) 4))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 2)))
(pow.f64 (log1p.f64 N) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 2))))
(pow.f64 (log1p.f64 N) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 2)))
(pow.f64 (log1p.f64 N) 2)
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 N))) 1))
(pow.f64 (log1p.f64 N) 2)

eval622.0ms (6.6%)

Compiler

Compiled 28833 to 17953 computations (37.7% saved)

prune389.0ms (4.1%)

Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New1078151093
Fresh11011
Picked145
Done011
Total1080301110
Accuracy
99.6%
Counts
1110 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
27.2%
(fma.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))) (sqrt.f64 (cbrt.f64 (log.f64 N)))) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
28.2%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
27.3%
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
27.7%
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (exp.f64 (*.f64 (log.f64 (log.f64 N)) 1/2))) (log1p.f64 N))
27.0%
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 N) 3/2))) (log1p.f64 N))
26.5%
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
28.1%
(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2) (neg.f64 (pow.f64 (log.f64 N) 3))) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
26.5%
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 2) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
95.3%
(/.f64 (/.f64 (-.f64 (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)) (+.f64 (*.f64 -4/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (+.f64 11/12 (*.f64 1/2 (log.f64 (/.f64 1 N))))) (pow.f64 N 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (+.f64 1 (log.f64 (/.f64 1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) 1)) (pow.f64 N 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (pow.f64 N 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 3))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (*.f64 2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (*.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2))))))))))))) (/.f64 1 (pow.f64 N 3))) N) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
95.3%
(/.f64 (/.f64 (+.f64 (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N) (+.f64 (fma.f64 -4/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (*.f64 (log.f64 N) (/.f64 (fma.f64 1/2 (neg.f64 (log.f64 N)) 11/12) (pow.f64 N 3)))) (+.f64 (*.f64 (log.f64 N) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 2))) (+.f64 (fma.f64 -1/2 (/.f64 (-.f64 1 (log.f64 N)) (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 N) 2) N) (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 3)) (fma.f64 1/3 (/.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 2)) (fma.f64 2 (neg.f64 (/.f64 (log.f64 N) (pow.f64 N 2))) (+.f64 (*.f64 3 (pow.f64 (log.f64 N) 2)) (/.f64 1 (pow.f64 N 2)))))))) (*.f64 (log.f64 N) (/.f64 (-.f64 1 (log.f64 N)) N)))))) (/.f64 -1 (pow.f64 N 3))) N) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
23.5%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (+.f64 (log.f64 N) (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
26.5%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
26.6%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (cbrt.f64 (pow.f64 (log.f64 N) 9))) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
26.5%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
94.2%
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
95.6%
(/.f64 (-.f64 (+.f64 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) (/.f64 1/4 (pow.f64 N 3))) N)
94.2%
(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N)
91.4%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
95.6%
(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)
93.8%
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
94.2%
(/.f64 1 (/.f64 N (+.f64 (/.f64 -1/2 N) (fma.f64 1/3 (pow.f64 N -2) 1))))
82.3%
(/.f64 1 N)
26.5%
(-.f64 (log1p.f64 N) (log.f64 N))
27.4%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
26.5%
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
28.4%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
29.5%
(log.f64 (/.f64 (+.f64 N 1) N))
26.5%
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
3.3%
0
Compiler

Compiled 1448 to 1001 computations (30.9% saved)

localize549.0ms (5.8%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.1%
(pow.f64 (log1p.f64 N) 2)
98.9%
(pow.f64 (log1p.f64 N) 3)
97.5%
(pow.f64 (log.f64 N) 9)
27.6%
(-.f64 (pow.f64 (log1p.f64 N) 3) (cbrt.f64 (pow.f64 (log.f64 N) 9)))
99.5%
(/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))
99.1%
(pow.f64 (log1p.f64 N) 2)
99.1%
(pow.f64 (log.f64 N) 2)
27.3%
(-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))
100.0%
(/.f64 (+.f64 N 1) N)
99.9%
(sqrt.f64 (/.f64 (+.f64 N 1) N))
28.6%
(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
99.9%
(/.f64 (-.f64 (+.f64 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) (/.f64 1/4 (pow.f64 N 3))) N)
99.8%
(-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))
99.6%
(/.f64 1/4 (pow.f64 N 3))
99.3%
(/.f64 1/3 (pow.f64 N 2))
Compiler

Compiled 246 to 146 computations (40.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 374.0ms
Operation ival-pow, time spent: 104.0ms, 28.0% of total-time
Operation ival-sub, time spent: 90.0ms, 24.0% of total-time
Operation ival-add, time spent: 58.0ms, 15.0% of total-time
Operation ival-div, time spent: 40.0ms, 11.0% of total-time
Operation ival-log, time spent: 31.0ms, 8.0% of total-time
Operation composed, time spent: 18.0ms, 5.0% of total-time
Operation ival-sqrt, time spent: 10.0ms, 3.0% of total-time
Operation const, time spent: 9.0ms, 2.0% of total-time
Operation ival-mult, time spent: 7.0ms, 2.0% of total-time
Operation ival-cbrt, time spent: 6.0ms, 2.0% of total-time

series30.0ms (0.3%)

Counts
11 → 112
Calls
Call 1
Inputs
#<alt (/.f64 1/4 (pow.f64 N 3))>
#<alt (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))>
#<alt (/.f64 (-.f64 (+.f64 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) (/.f64 1/4 (pow.f64 N 3))) N)>
#<alt (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))>
#<alt (sqrt.f64 (/.f64 (+.f64 N 1) N))>
#<alt (/.f64 (+.f64 N 1) N)>
#<alt (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))>
#<alt (pow.f64 (log.f64 N) 2)>
#<alt (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))>
#<alt (-.f64 (pow.f64 (log1p.f64 N) 3) (cbrt.f64 (pow.f64 (log.f64 N) 9)))>
#<alt (pow.f64 (log.f64 N) 9)>
Outputs
#<alt (/.f64 1/3 (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
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#<alt (/.f64 1 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))>
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#<alt (*.f64 -1 (pow.f64 (log.f64 N) 3))>
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#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) N)) (*.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)))) N))>
#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (*.f64 -1/3 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (*.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))))) N)) (+.f64 (*.f64 -1/2 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))) N)) (*.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)))) N))>
#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (*.f64 -1/2 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (*.f64 2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 (+.f64 11/12 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))))) N)) (+.f64 (*.f64 -1/3 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (*.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))))) N)) (+.f64 (*.f64 -1/2 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (+.f64 (*.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))) N)) (*.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)))) N))>
#<alt (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 9))>
#<alt (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 9))>
#<alt (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 9))>
#<alt (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 N)) 9))>
#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 9)>
#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 9)>
#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 9)>
#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 9)>
Calls

33 calls:

TimeVariablePointExpression
3.0ms
N
@0
(- (/ 1/3 (pow N 2)) (/ 1/2 N))
2.0ms
N
@inf
(- (pow (log (+ 1 N)) 3) (cbrt (pow (log N) 9)))
2.0ms
N
@inf
(/ 1 (+ (log (+ 1 N)) (log N)))
1.0ms
N
@-inf
(/ 1 (+ (log (+ 1 N)) (log N)))
1.0ms
N
@0
(log (sqrt (/ (+ N 1) N)))

rewrite128.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
289×log1p-expm1-u
289×expm1-log1p-u
272×pow1
272×add-cube-cbrt
270×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037308
1638304
Stop Event
node limit
Counts
11 → 306
Calls
Call 1
Inputs
(/.f64 1/4 (pow.f64 N 3))
(-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))
(/.f64 (-.f64 (+.f64 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) (/.f64 1/4 (pow.f64 N 3))) N)
(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
(sqrt.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 N 1) N)
(-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))
(pow.f64 (log.f64 N) 2)
(/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (pow.f64 (log1p.f64 N) 3) (cbrt.f64 (pow.f64 (log.f64 N) 9)))
(pow.f64 (log.f64 N) 9)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -3)))) 1)
(*.f64 1/4 (pow.f64 N -3))
(*.f64 1 (*.f64 1/4 (pow.f64 N -3)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 1/4) N) 2) (/.f64 (cbrt.f64 1/4) N))
(*.f64 (/.f64 1/2 (pow.f64 N 3/2)) (/.f64 1/2 (pow.f64 N 3/2)))
(*.f64 -1/4 (/.f64 1 (neg.f64 (pow.f64 N 3))))
(pow.f64 (*.f64 1/4 (pow.f64 N -3)) 1)
(pow.f64 (/.f64 (cbrt.f64 1/4) N) 3)
(pow.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -3) 3)) 1/3)
(pow.f64 (/.f64 1/2 (pow.f64 N 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 N 3) 4) -1)
(sqrt.f64 (/.f64 1/16 (pow.f64 N 6)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 N -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 N -3)))))
(cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -3) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -3))))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 N -3))))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 N -3))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 N -3))) 1))
(+.f64 (*.f64 1/3 (pow.f64 N -2)) (neg.f64 (/.f64 1/2 N)))
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -2)) (/.f64 1/2 N)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 N))) (sqrt.f64 (/.f64 1/2 N)) (/.f64 1/2 N)))
(+.f64 (fma.f64 1/3 (pow.f64 N -2) (neg.f64 (*.f64 (/.f64 1 N) 1/2))) (fma.f64 (neg.f64 (/.f64 1 N)) 1/2 (*.f64 (/.f64 1 N) 1/2)))
(+.f64 (fma.f64 1/3 (pow.f64 N -2) (neg.f64 (*.f64 (/.f64 1/2 N) 1))) (fma.f64 (neg.f64 (/.f64 1/2 N)) 1 (*.f64 (/.f64 1/2 N) 1)))
(+.f64 (fma.f64 1/3 (pow.f64 N -2) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 N)) (cbrt.f64 (/.f64 1/4 (pow.f64 N 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 N))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 2))) (*.f64 (cbrt.f64 (/.f64 1/2 N)) (cbrt.f64 (/.f64 1/4 (pow.f64 N 2))))))
(+.f64 (fma.f64 1 (*.f64 1/3 (pow.f64 N -2)) (neg.f64 (*.f64 (/.f64 1 N) 1/2))) (fma.f64 (neg.f64 (/.f64 1 N)) 1/2 (*.f64 (/.f64 1 N) 1/2)))
(+.f64 (fma.f64 1 (*.f64 1/3 (pow.f64 N -2)) (neg.f64 (*.f64 (/.f64 1/2 N) 1))) (fma.f64 (neg.f64 (/.f64 1/2 N)) 1 (*.f64 (/.f64 1/2 N) 1)))
(+.f64 (fma.f64 1 (*.f64 1/3 (pow.f64 N -2)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 N)) (cbrt.f64 (/.f64 1/4 (pow.f64 N 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 N))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 2))) (*.f64 (cbrt.f64 (/.f64 1/2 N)) (cbrt.f64 (/.f64 1/4 (pow.f64 N 2))))))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))) (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (neg.f64 (*.f64 (/.f64 1 N) 1/2))) (fma.f64 (neg.f64 (/.f64 1 N)) 1/2 (*.f64 (/.f64 1 N) 1/2)))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))) (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (neg.f64 (*.f64 (/.f64 1/2 N) 1))) (fma.f64 (neg.f64 (/.f64 1/2 N)) 1 (*.f64 (/.f64 1/2 N) 1)))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))) (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 N)) (cbrt.f64 (/.f64 1/4 (pow.f64 N 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 N))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 2))) (*.f64 (cbrt.f64 (/.f64 1/2 N)) (cbrt.f64 (/.f64 1/4 (pow.f64 N 2))))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 1/3) N) (/.f64 (sqrt.f64 1/3) N) (neg.f64 (*.f64 (/.f64 1 N) 1/2))) (fma.f64 (neg.f64 (/.f64 1 N)) 1/2 (*.f64 (/.f64 1 N) 1/2)))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 1/3) N) (/.f64 (sqrt.f64 1/3) N) (neg.f64 (*.f64 (/.f64 1/2 N) 1))) (fma.f64 (neg.f64 (/.f64 1/2 N)) 1 (*.f64 (/.f64 1/2 N) 1)))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 1/3) N) (/.f64 (sqrt.f64 1/3) N) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 N)) (cbrt.f64 (/.f64 1/4 (pow.f64 N 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 N))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 2))) (*.f64 (cbrt.f64 (/.f64 1/2 N)) (cbrt.f64 (/.f64 1/4 (pow.f64 N 2))))))
(*.f64 1 (-.f64 (*.f64 1/3 (pow.f64 N -2)) (/.f64 1/2 N)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/3 (pow.f64 N -2)) (/.f64 1/2 N))) 2) (cbrt.f64 (-.f64 (*.f64 1/3 (pow.f64 N -2)) (/.f64 1/2 N))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 1/3 (pow.f64 N -2)) (/.f64 1/2 N))) (sqrt.f64 (-.f64 (*.f64 1/3 (pow.f64 N -2)) (/.f64 1/2 N))))
(*.f64 (-.f64 (*.f64 1/3 N) (*.f64 (pow.f64 N 2) 1/2)) (pow.f64 N -3))
(*.f64 (-.f64 (/.f64 1/27 (pow.f64 N 6)) (/.f64 1/8 (pow.f64 N 3))) (/.f64 1 (+.f64 (/.f64 1/9 (pow.f64 N 4)) (+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/6 (pow.f64 N 3))))))
(*.f64 (-.f64 (/.f64 1/9 (pow.f64 N 4)) (/.f64 1/4 (pow.f64 N 2))) (/.f64 1 (fma.f64 1/3 (pow.f64 N -2) (/.f64 1/2 N))))
(/.f64 1 (/.f64 (pow.f64 N 3) (-.f64 (*.f64 1/3 N) (*.f64 (pow.f64 N 2) 1/2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 4)) (+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/6 (pow.f64 N 3)))) (-.f64 (/.f64 1/27 (pow.f64 N 6)) (/.f64 1/8 (pow.f64 N 3)))))
(/.f64 1 (/.f64 (fma.f64 1/3 (pow.f64 N -2) (/.f64 1/2 N)) (-.f64 (/.f64 1/9 (pow.f64 N 4)) (/.f64 1/4 (pow.f64 N 2)))))
(/.f64 (-.f64 (*.f64 1/3 N) (*.f64 (pow.f64 N 2) 1/2)) (pow.f64 N 3))
(/.f64 (-.f64 (/.f64 1/27 (pow.f64 N 6)) (/.f64 1/8 (pow.f64 N 3))) (+.f64 (/.f64 1/9 (pow.f64 N 4)) (+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/6 (pow.f64 N 3)))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 4)) (/.f64 1/4 (pow.f64 N 2))) (fma.f64 1/3 (pow.f64 N -2) (/.f64 1/2 N)))
(/.f64 (-.f64 (*.f64 1/3 (*.f64 N 2)) (*.f64 (pow.f64 N 2) 1)) (*.f64 (pow.f64 N 2) (*.f64 N 2)))
(/.f64 (-.f64 (*.f64 1/3 (neg.f64 N)) (*.f64 (pow.f64 N 2) -1/2)) (*.f64 (pow.f64 N 2) (neg.f64 N)))
(/.f64 (-.f64 N (*.f64 (*.f64 (pow.f64 N 2) 3) 1/2)) (*.f64 (*.f64 (pow.f64 N 2) 3) N))
(/.f64 (-.f64 (*.f64 N 2) (*.f64 (*.f64 (pow.f64 N 2) 3) 1)) (*.f64 (*.f64 (pow.f64 N 2) 3) (*.f64 N 2)))
(/.f64 (-.f64 (neg.f64 N) (*.f64 (*.f64 (pow.f64 N 2) 3) -1/2)) (*.f64 (*.f64 (pow.f64 N 2) 3) (neg.f64 N)))
(/.f64 (-.f64 (*.f64 -1/3 N) (*.f64 (neg.f64 (pow.f64 N 2)) 1/2)) (*.f64 (neg.f64 (pow.f64 N 2)) N))
(/.f64 (-.f64 (*.f64 -1/3 (*.f64 N 2)) (*.f64 (neg.f64 (pow.f64 N 2)) 1)) (*.f64 (neg.f64 (pow.f64 N 2)) (*.f64 N 2)))
(/.f64 (-.f64 (*.f64 -1/3 (neg.f64 N)) (*.f64 (neg.f64 (pow.f64 N 2)) -1/2)) (*.f64 (neg.f64 (pow.f64 N 2)) (neg.f64 N)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/3 N) (*.f64 (pow.f64 N 2) 1/2))) (neg.f64 (pow.f64 N 3)))
(/.f64 (neg.f64 (-.f64 (/.f64 1/27 (pow.f64 N 6)) (/.f64 1/8 (pow.f64 N 3)))) (neg.f64 (+.f64 (/.f64 1/9 (pow.f64 N 4)) (+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/6 (pow.f64 N 3))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/9 (pow.f64 N 4)) (/.f64 1/4 (pow.f64 N 2)))) (neg.f64 (fma.f64 1/3 (pow.f64 N -2) (/.f64 1/2 N))))
(/.f64 (+.f64 (/.f64 1/27 (pow.f64 N 6)) (pow.f64 (neg.f64 (/.f64 1/2 N)) 3)) (+.f64 (/.f64 1/9 (pow.f64 N 4)) (-.f64 (*.f64 (neg.f64 (/.f64 1/2 N)) (neg.f64 (/.f64 1/2 N))) (*.f64 (*.f64 1/3 (pow.f64 N -2)) (neg.f64 (/.f64 1/2 N))))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 4)) (*.f64 (neg.f64 (/.f64 1/2 N)) (neg.f64 (/.f64 1/2 N)))) (-.f64 (*.f64 1/3 (pow.f64 N -2)) (neg.f64 (/.f64 1/2 N))))
(pow.f64 (-.f64 (*.f64 1/3 (pow.f64 N -2)) (/.f64 1/2 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 1/3 (pow.f64 N -2)) (/.f64 1/2 N))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 1/3 (pow.f64 N -2)) (/.f64 1/2 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 1/3 (pow.f64 N -2)) (/.f64 1/2 N))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 1/3 (pow.f64 N -2)) (/.f64 1/2 N)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 1/3 (pow.f64 N -2)) (/.f64 1/2 N))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 1/3 (pow.f64 N -2)) (/.f64 1/2 N)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 1/3 (pow.f64 N -2)) (/.f64 1/2 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 1/3 (pow.f64 N -2)) (/.f64 1/2 N))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 1/3 (pow.f64 N -2)) (/.f64 1/2 N))))
(exp.f64 (log.f64 (-.f64 (*.f64 1/3 (pow.f64 N -2)) (/.f64 1/2 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 1/3 (pow.f64 N -2)) (/.f64 1/2 N))) 1))
(fma.f64 1/3 (pow.f64 N -2) (neg.f64 (/.f64 1/2 N)))
(fma.f64 1 (*.f64 1/3 (pow.f64 N -2)) (neg.f64 (/.f64 1/2 N)))
(fma.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))) (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (neg.f64 (/.f64 1/2 N)))
(fma.f64 (/.f64 (sqrt.f64 1/3) N) (/.f64 (sqrt.f64 1/3) N) (neg.f64 (/.f64 1/2 N)))
(+.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) N) (neg.f64 (*.f64 1/4 (/.f64 (pow.f64 N -3) N))))
(-.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) N) (*.f64 1/4 (/.f64 (pow.f64 N -3) N)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) N))) 1)
(*.f64 1 (/.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) N))
(*.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) N)) 2) (cbrt.f64 (/.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) N)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) N)) (sqrt.f64 (/.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) N)))
(*.f64 (neg.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3)))) (/.f64 1 (neg.f64 N)))
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(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) (sqrt.f64 N)))
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(fma.f64 (log1p.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (neg.f64 (pow.f64 (log.f64 N) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 N) 2))) 1)
(*.f64 1 (pow.f64 (log.f64 N) 2))
(*.f64 (log.f64 N) (log.f64 N))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4)) (pow.f64 (cbrt.f64 (log.f64 N)) 2))
(sqrt.f64 (pow.f64 (log.f64 N) 4))
(log.f64 (pow.f64 N (log.f64 N)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 2))))
(cbrt.f64 (pow.f64 (log.f64 N) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 N) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 N))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) -1/2) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) -1) (pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) -1))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) -1)
(pow.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 1))
(+.f64 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3)))
(+.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (neg.f64 (log.f64 N)) (pow.f64 (log.f64 N) 2) (pow.f64 (log.f64 N) 3)))
(+.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (log.f64 N) 3))) (sqrt.f64 (pow.f64 (log.f64 N) 3)) (pow.f64 (log.f64 N) 3)))
(+.f64 (fma.f64 1 (pow.f64 (log1p.f64 N) 3) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (*.f64 (pow.f64 (log.f64 N) 3) 1)))
(+.f64 (fma.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) 2) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (*.f64 (pow.f64 (log.f64 N) 3) 1)))
(+.f64 (fma.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (*.f64 (pow.f64 (log.f64 N) 3) 1)))
(+.f64 (fma.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (*.f64 (pow.f64 (log.f64 N) 3) 1)))
(*.f64 1 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (*.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (*.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (*.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (*.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 6) (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (neg.f64 (pow.f64 (log.f64 N) 3))) (*.f64 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (neg.f64 (pow.f64 (log.f64 N) 3)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3))))
(pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 2)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 1))
(fma.f64 1 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3)))
(fma.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 3)))
(fma.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) 3)))
(fma.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2) (neg.f64 (pow.f64 (log.f64 N) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 N) 9))) 1)
(*.f64 1 (pow.f64 (log.f64 N) 9))
(*.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log.f64 N) 6))
(*.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (log.f64 N) 3))
(*.f64 (pow.f64 (log.f64 N) 9/2) (pow.f64 (log.f64 N) 9/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) 9) (pow.f64 (cbrt.f64 (log.f64 N)) 9))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 N)) 9) (pow.f64 (sqrt.f64 (log.f64 N)) 9))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 N) 3)) 3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 N) 3)) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 N) 3) 3/2) (pow.f64 (pow.f64 (log.f64 N) 3) 3/2))
(sqrt.f64 (pow.f64 (log.f64 N) 18))
(log.f64 (exp.f64 (pow.f64 (log.f64 N) 9)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 9))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 N) 9) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 9)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 N) 9)))
(exp.f64 (*.f64 9 (log.f64 (log.f64 N))))
(exp.f64 (*.f64 (*.f64 9 (log.f64 (log.f64 N))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) 3)) 3))

simplify197.0ms (2.1%)

Algorithm
egg-herbie
Rules
1142×fma-define
702×associate-+r+
570×associate-+l+
526×distribute-rgt-in
496×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0120622106
1321520283
Stop Event
node limit
Counts
418 → 644
Calls
Call 1
Inputs
(/.f64 1/3 (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 -1/2 N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)
(/.f64 -1/2 N)
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))
(/.f64 -1/4 (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4) (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))
(/.f64 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)
(/.f64 1 N)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))
(+.f64 (log.f64 (sqrt.f64 N)) (*.f64 -1 (log.f64 N)))
(+.f64 (log.f64 (sqrt.f64 N)) (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 1/2 N)))
(+.f64 (log.f64 (sqrt.f64 N)) (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 (pow.f64 N 2) (-.f64 (*.f64 1/2 (/.f64 1 N)) 1/4))))
(+.f64 (log.f64 (sqrt.f64 N)) (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 (pow.f64 N 2) (-.f64 (*.f64 1/6 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))) (*.f64 1/2 (/.f64 1 N))))))
(/.f64 1/2 N)
(/.f64 (-.f64 1/2 (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1/2 (/.f64 1/6 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1/2 (/.f64 1/6 (pow.f64 N 2))) (+.f64 (*.f64 1/4 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 3))))) N)
(log.f64 (pow.f64 (sqrt.f64 -1) 2))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1/2 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) N)))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1 (/.f64 (+.f64 (/.f64 1/6 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 6))) (+.f64 (/.f64 1/4 (*.f64 N (pow.f64 (sqrt.f64 -1) 4))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) N)))
(sqrt.f64 (/.f64 1 N))
(/.f64 (+.f64 (sqrt.f64 N) (*.f64 1/2 (sqrt.f64 (pow.f64 N 3)))) N)
(/.f64 (+.f64 (sqrt.f64 N) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1/8 (sqrt.f64 N)) (*.f64 1/2 (sqrt.f64 (/.f64 1 N)))))) N)
(/.f64 (+.f64 (sqrt.f64 N) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 N))) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/16 (sqrt.f64 (/.f64 1 N)))))))) N)
1
(+.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 N))) (/.f64 1/8 (pow.f64 N 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/16 (/.f64 1 (pow.f64 N 3))))) (/.f64 1/8 (pow.f64 N 2)))
(pow.f64 (sqrt.f64 -1) 2)
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 1/2 (/.f64 1 N)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))))) N)) (pow.f64 (sqrt.f64 -1) 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (+.f64 (/.f64 1/16 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4))) (/.f64 1/8 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))))) N)) (pow.f64 (sqrt.f64 -1) 2))
(/.f64 1 N)
(/.f64 (+.f64 1 N) N)
(/.f64 (+.f64 1 N) N)
(/.f64 (+.f64 1 N) 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 (pow.f64 (log.f64 N) 2))
(-.f64 (pow.f64 N 2) (pow.f64 (log.f64 N) 2))
(-.f64 (*.f64 (pow.f64 N 2) (+.f64 1 (*.f64 -1 N))) (pow.f64 (log.f64 N) 2))
(-.f64 (*.f64 (pow.f64 N 2) (+.f64 1 (*.f64 N (-.f64 (*.f64 11/12 N) 1)))) (pow.f64 (log.f64 N) 2))
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))
(/.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (/.f64 (log.f64 (/.f64 1 N)) N))) N)
(/.f64 (-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 N))) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 (log.f64 (/.f64 1 N)) N)))) (/.f64 1 (pow.f64 N 2))) N)
(/.f64 (-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 N))) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 1 N) (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 3))) (/.f64 (log.f64 (/.f64 1 N)) N)))))) (/.f64 1 (pow.f64 N 2))) N)
(*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 N 1) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3/2) (pow.f64 (/.f64 (+.f64 N 1) N) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 N 1) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 N 1) N)))
(exp.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1))
(+.f64 (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 2)))
(+.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (fma.f64 (neg.f64 (log.f64 N)) (log.f64 N) (pow.f64 (log.f64 N) 2)))
(+.f64 (fma.f64 1 (pow.f64 (log1p.f64 N) 2) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1 (*.f64 (pow.f64 (log.f64 N) 2) 1)))
(+.f64 (fma.f64 1 (pow.f64 (log1p.f64 N) 2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (cbrt.f64 (pow.f64 (log.f64 N) 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (pow.f64 (log.f64 N) 4)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (cbrt.f64 (pow.f64 (log.f64 N) 4)))))
(+.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1 (*.f64 (pow.f64 (log.f64 N) 2) 1)))
(+.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (cbrt.f64 (pow.f64 (log.f64 N) 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (pow.f64 (log.f64 N) 4)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (cbrt.f64 (pow.f64 (log.f64 N) 4)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 1 (*.f64 (pow.f64 (log.f64 N) 2) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (cbrt.f64 (pow.f64 (log.f64 N) 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (pow.f64 (log.f64 N) 4)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (cbrt.f64 (pow.f64 (log.f64 N) 4)))))
(*.f64 1 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 2)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 4) (+.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 4) (+.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2))) (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (+.f64 (pow.f64 (log1p.f64 N) 4) (+.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 4) (+.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 4) (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (neg.f64 (pow.f64 (log.f64 N) 2))) (*.f64 (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 2))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (neg.f64 (pow.f64 (log.f64 N) 2)))) (-.f64 (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 2))))
(pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 1))
(fma.f64 1 (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 2)))
(fma.f64 (log1p.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (neg.f64 (pow.f64 (log.f64 N) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 N) 2))) 1)
(*.f64 1 (pow.f64 (log.f64 N) 2))
(*.f64 (log.f64 N) (log.f64 N))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4)) (pow.f64 (cbrt.f64 (log.f64 N)) 2))
(sqrt.f64 (pow.f64 (log.f64 N) 4))
(log.f64 (pow.f64 N (log.f64 N)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 2))))
(cbrt.f64 (pow.f64 (log.f64 N) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 N) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 N))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) -1/2) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) -1) (pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) -1))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) -1)
(pow.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 1))
(+.f64 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3)))
(+.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (neg.f64 (log.f64 N)) (pow.f64 (log.f64 N) 2) (pow.f64 (log.f64 N) 3)))
(+.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (log.f64 N) 3))) (sqrt.f64 (pow.f64 (log.f64 N) 3)) (pow.f64 (log.f64 N) 3)))
(+.f64 (fma.f64 1 (pow.f64 (log1p.f64 N) 3) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (*.f64 (pow.f64 (log.f64 N) 3) 1)))
(+.f64 (fma.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) 2) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (*.f64 (pow.f64 (log.f64 N) 3) 1)))
(+.f64 (fma.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (*.f64 (pow.f64 (log.f64 N) 3) 1)))
(+.f64 (fma.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1 (*.f64 (pow.f64 (log.f64 N) 3) 1)))
(*.f64 1 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (*.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (*.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (*.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (*.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 6) (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (neg.f64 (pow.f64 (log.f64 N) 3))) (*.f64 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (neg.f64 (pow.f64 (log.f64 N) 3)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3))))
(pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 2)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 1))
(fma.f64 1 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3)))
(fma.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 3)))
(fma.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) 3)))
(fma.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2) (neg.f64 (pow.f64 (log.f64 N) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 N) 9))) 1)
(*.f64 1 (pow.f64 (log.f64 N) 9))
(*.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log.f64 N) 6))
(*.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (log.f64 N) 3))
(*.f64 (pow.f64 (log.f64 N) 9/2) (pow.f64 (log.f64 N) 9/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) 9) (pow.f64 (cbrt.f64 (log.f64 N)) 9))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 N)) 9) (pow.f64 (sqrt.f64 (log.f64 N)) 9))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 N) 3)) 3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 N) 3)) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 N) 3) 3/2) (pow.f64 (pow.f64 (log.f64 N) 3) 3/2))
(sqrt.f64 (pow.f64 (log.f64 N) 18))
(log.f64 (exp.f64 (pow.f64 (log.f64 N) 9)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 9))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 N) 9) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 9)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 N) 9)))
(exp.f64 (*.f64 9 (log.f64 (log.f64 N))))
(exp.f64 (*.f64 (*.f64 9 (log.f64 (log.f64 N))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) 3)) 3))
Outputs
(/.f64 1/3 (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 N -1/2)) (pow.f64 N 2))
(/.f64 (fma.f64 N -1/2 1/3) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 N -1/2)) (pow.f64 N 2))
(/.f64 (fma.f64 N -1/2 1/3) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
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(+.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (*.f64 (pow.f64 (log.f64 N) 3) 0))
(*.f64 1 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (+.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (*.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (*.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (+.f64 (pow.f64 (log1p.f64 N) 6) (fma.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 6))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (*.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (*.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (+.f64 (pow.f64 (log1p.f64 N) 6) (fma.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 6))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (+.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (+.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (*.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (*.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (+.f64 (pow.f64 (log1p.f64 N) 6) (fma.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 6))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))) (neg.f64 (+.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (+.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (*.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (*.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (+.f64 (pow.f64 (log1p.f64 N) 6) (fma.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 6)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 6) (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (neg.f64 (pow.f64 (log.f64 N) 3))) (*.f64 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 6) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (-.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (pow.f64 (log1p.f64 N) 3)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (pow.f64 (log.f64 N) 3) 3)) (+.f64 (pow.f64 (log1p.f64 N) 6) (fma.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 6))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (*.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) (neg.f64 (pow.f64 (log.f64 N) 3)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (+.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)))
(pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 1)
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 3)
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3) 1/3)
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 2)
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 2))
(fabs.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(exp.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 1))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(fma.f64 1 (pow.f64 (log1p.f64 N) 3) (neg.f64 (pow.f64 (log.f64 N) 3)))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(fma.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 3)))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(fma.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) 3)))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(fma.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2) (neg.f64 (pow.f64 (log.f64 N) 3)))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 N) 9))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 9)))
(*.f64 1 (pow.f64 (log.f64 N) 9))
(pow.f64 (log.f64 N) 9)
(*.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log.f64 N) 6))
(pow.f64 (pow.f64 (log.f64 N) 3) 3)
(*.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (log.f64 N) 3))
(*.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log.f64 N) 6))
(pow.f64 (pow.f64 (log.f64 N) 3) 3)
(*.f64 (pow.f64 (log.f64 N) 9/2) (pow.f64 (log.f64 N) 9/2))
(pow.f64 (log.f64 N) 9)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) 9) (pow.f64 (cbrt.f64 (log.f64 N)) 9))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 N)) 9) (pow.f64 (sqrt.f64 (log.f64 N)) 9))
(pow.f64 (sqrt.f64 (log.f64 N)) 18)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 N) 3)) 3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 N) 3)) 3))
(*.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log.f64 N) 6))
(pow.f64 (pow.f64 (log.f64 N) 3) 3)
(*.f64 (pow.f64 (pow.f64 (log.f64 N) 3) 3/2) (pow.f64 (pow.f64 (log.f64 N) 3) 3/2))
(*.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log.f64 N) 6))
(pow.f64 (pow.f64 (log.f64 N) 3) 3)
(sqrt.f64 (pow.f64 (log.f64 N) 18))
(log.f64 (exp.f64 (pow.f64 (log.f64 N) 9)))
(pow.f64 (log.f64 N) 9)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 9))))
(pow.f64 (log.f64 N) 9)
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 N) 9) 3))
(pow.f64 (log.f64 N) 9)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 9)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 N) 9)))
(pow.f64 (log.f64 N) 9)
(exp.f64 (*.f64 9 (log.f64 (log.f64 N))))
(pow.f64 (log.f64 N) 9)
(exp.f64 (*.f64 (*.f64 9 (log.f64 (log.f64 N))) 1))
(pow.f64 (log.f64 N) 9)
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) 3)) 3))
(*.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log.f64 N) 6))
(pow.f64 (pow.f64 (log.f64 N) 3) 3)

eval827.0ms (8.7%)

Compiler

Compiled 27417 to 18402 computations (32.9% saved)

prune392.0ms (4.1%)

Pruning

38 alts after pruning (30 fresh and 8 done)

PrunedKeptTotal
New88513898
Fresh31720
Picked145
Done145
Total89038928
Accuracy
99.6%
Counts
928 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
28.2%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
27.3%
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
27.7%
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (exp.f64 (*.f64 (log.f64 (log.f64 N)) 1/2))) (log1p.f64 N))
27.0%
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 N) 3/2))) (log1p.f64 N))
90.2%
(pow.f64 (pow.f64 (/.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) N) 3) 1/3)
95.0%
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) N)) 2)
28.1%
(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2) (neg.f64 (pow.f64 (log.f64 N) 3))) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
95.3%
(/.f64 (/.f64 (-.f64 (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)) (+.f64 (*.f64 -4/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (+.f64 11/12 (*.f64 1/2 (log.f64 (/.f64 1 N))))) (pow.f64 N 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (+.f64 1 (log.f64 (/.f64 1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) 1)) (pow.f64 N 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (pow.f64 N 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 3))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (*.f64 2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (*.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2))))))))))))) (/.f64 1 (pow.f64 N 3))) N) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
95.3%
(/.f64 (/.f64 (+.f64 (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N) (+.f64 (fma.f64 -4/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (*.f64 (log.f64 N) (/.f64 (fma.f64 1/2 (neg.f64 (log.f64 N)) 11/12) (pow.f64 N 3)))) (+.f64 (*.f64 (log.f64 N) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 2))) (+.f64 (fma.f64 -1/2 (/.f64 (-.f64 1 (log.f64 N)) (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 N) 2) N) (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 3)) (fma.f64 1/3 (/.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 2)) (fma.f64 2 (neg.f64 (/.f64 (log.f64 N) (pow.f64 N 2))) (+.f64 (*.f64 3 (pow.f64 (log.f64 N) 2)) (/.f64 1 (pow.f64 N 2)))))))) (*.f64 (log.f64 N) (/.f64 (-.f64 1 (log.f64 N)) N)))))) (/.f64 -1 (pow.f64 N 3))) N) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
23.5%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (+.f64 (log.f64 N) (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
26.6%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (cbrt.f64 (pow.f64 (log.f64 N) 9))) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
26.5%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
95.6%
(/.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (/.f64 1/4 (pow.f64 N 3))) N)
94.2%
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
94.2%
(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N)
91.4%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
95.6%
(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)
93.8%
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
94.2%
(/.f64 1 (/.f64 N (+.f64 (/.f64 -1/2 N) (fma.f64 1/3 (pow.f64 N -2) 1))))
82.3%
(/.f64 1 N)
26.5%
(-.f64 (log1p.f64 N) (log.f64 N))
27.4%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
28.0%
(*.f64 (fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (neg.f64 (pow.f64 (log.f64 N) 2))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
26.5%
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 3) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
26.5%
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
95.4%
(*.f64 (/.f64 (-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 N))) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 1 N) (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 3))) (/.f64 (log.f64 (/.f64 1 N)) N)))))) (/.f64 1 (pow.f64 N 2))) N) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
26.5%
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 3))
26.5%
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
95.5%
(*.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) (/.f64 1 N))
27.7%
(*.f64 (-.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 6)) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
27.6%
(*.f64 2 (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))))
27.7%
(*.f64 2 (*.f64 2 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/4))))
28.4%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
29.5%
(log.f64 (/.f64 (+.f64 N 1) N))
26.5%
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
94.8%
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) 3) (pow.f64 N 3)))
3.3%
0
Compiler

Compiled 1847 to 1336 computations (27.7% saved)

localize844.0ms (8.9%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
99.1%
(pow.f64 (log.f64 N) 2)
98.5%
(pow.f64 (log1p.f64 N) 4)
98.5%
(pow.f64 (log.f64 N) 4)
27.9%
(-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))
100.0%
(log1p.f64 N)
99.8%
(sqrt.f64 (log1p.f64 N))
28.0%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
99.9%
(-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3)))
99.8%
(-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N))
99.8%
(*.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) (/.f64 1 N))
99.4%
(*.f64 1/3 (pow.f64 N -2))
100.0%
(-.f64 1 (/.f64 1/2 N))
99.9%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
99.9%
(/.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (/.f64 1/4 (pow.f64 N 3))) N)
99.9%
(/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)
99.6%
(/.f64 1/4 (pow.f64 N 3))
99.4%
(/.f64 1/3 N)
Compiler

Compiled 296 to 191 computations (35.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 466.0ms
Operation ival-pow, time spent: 145.0ms, 31.0% of total-time
Operation ival-div, time spent: 125.0ms, 27.0% of total-time
Operation ival-sub, time spent: 91.0ms, 20.0% of total-time
Operation ival-add, time spent: 35.0ms, 8.0% of total-time
Operation ival-mult, time spent: 19.0ms, 4.0% of total-time
Operation composed, time spent: 13.0ms, 3.0% of total-time
Operation ival-log, time spent: 12.0ms, 3.0% of total-time
Operation const, time spent: 12.0ms, 3.0% of total-time
Operation ival-neg, time spent: 11.0ms, 2.0% of total-time
Operation ival-sqrt, time spent: 3.0ms, 1.0% of total-time

series59.0ms (0.6%)

Counts
14 → 152
Calls
Call 1
Inputs
#<alt (/.f64 1/3 N)>
#<alt (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (/.f64 1/4 (pow.f64 N 3))) N)>
#<alt (/.f64 (-.f64 1 (/.f64 1/2 N)) N)>
#<alt (-.f64 1 (/.f64 1/2 N))>
#<alt (*.f64 1/3 (pow.f64 N -2))>
#<alt (*.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) (/.f64 1 N))>
#<alt (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N))>
#<alt (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3)))>
#<alt (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))>
#<alt (sqrt.f64 (log1p.f64 N))>
#<alt (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))>
#<alt (pow.f64 (log.f64 N) 4)>
#<alt (pow.f64 (log1p.f64 N) 4)>
Outputs
#<alt (/.f64 1/3 (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 -1/2 N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)>
#<alt (/.f64 -1/2 N)>
#<alt (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))>
#<alt (/.f64 -1/4 (pow.f64 N 4))>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 4))>
#<alt (/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4) (pow.f64 N 4))>
#<alt (/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)>
#<alt (/.f64 1 N)>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/.f64 -1/2 (pow.f64 N 2))>
#<alt (/.f64 (-.f64 N 1/2) (pow.f64 N 2))>
#<alt (/.f64 (-.f64 N 1/2) (pow.f64 N 2))>
#<alt (/.f64 (-.f64 N 1/2) (pow.f64 N 2))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 1 N)>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (/.f64 -1/2 N)>
#<alt (/.f64 (-.f64 N 1/2) N)>
#<alt (/.f64 (-.f64 N 1/2) N)>
#<alt (/.f64 (-.f64 N 1/2) N)>
#<alt 1>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt 1>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (/.f64 1/3 (pow.f64 N 2))>
#<alt (/.f64 1/3 (pow.f64 N 2))>
#<alt (/.f64 1/3 (pow.f64 N 2))>
#<alt (/.f64 1/3 (pow.f64 N 2))>
#<alt (/.f64 1/3 (pow.f64 N 2))>
#<alt (/.f64 1/3 (pow.f64 N 2))>
#<alt (/.f64 1/3 (pow.f64 N 2))>
#<alt (/.f64 1/3 (pow.f64 N 2))>
#<alt (/.f64 1/3 (pow.f64 N 2))>
#<alt (/.f64 1/3 (pow.f64 N 2))>
#<alt (/.f64 1/3 (pow.f64 N 2))>
#<alt (/.f64 1/3 (pow.f64 N 2))>
#<alt (/.f64 -1/4 (pow.f64 N 4))>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 4))>
#<alt (/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4) (pow.f64 N 4))>
#<alt (/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)>
#<alt (/.f64 1 N)>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/.f64 1/3 (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 2))>
#<alt 1>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))>
#<alt 1>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N)))>
#<alt (/.f64 -1/4 (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4) (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 3))>
#<alt 1>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))))>
#<alt 1>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))) N)))>
#<alt (*.f64 -1 (log.f64 N))>
#<alt (-.f64 N (log.f64 N))>
#<alt (-.f64 (*.f64 N (+.f64 1 (*.f64 -1/2 N))) (log.f64 N))>
#<alt (-.f64 (*.f64 N (+.f64 1 (*.f64 N (-.f64 (*.f64 1/3 N) 1/2)))) (log.f64 N))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)>
#<alt (/.f64 1 N)>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (sqrt.f64 N)>
#<alt (+.f64 (sqrt.f64 N) (*.f64 -1/4 (sqrt.f64 (pow.f64 N 3))))>
#<alt (+.f64 (sqrt.f64 N) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 N))) (*.f64 1/6 (sqrt.f64 N)))))>
#<alt (+.f64 (sqrt.f64 N) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 N))) (*.f64 N (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 N) (+.f64 1/4 (*.f64 1/16 (/.f64 1 N))))) (*.f64 1/6 (sqrt.f64 (/.f64 1 N))))))))>
#<alt (*.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1))>
#<alt (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 N (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1)))>
#<alt (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (pow.f64 N 2) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 N (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1))))>
#<alt (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (pow.f64 N 2) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 N (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 1/3 (*.f64 -1/2 (/.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (pow.f64 N 3) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1)))))>
#<alt (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))>
#<alt (+.f64 (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 1/2 (*.f64 (/.f64 1 N) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))))>
#<alt (+.f64 (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) (*.f64 1/2 (*.f64 (/.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) N) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))))) N)))>
#<alt (+.f64 (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))) (*.f64 1/2 (*.f64 (/.f64 (+.f64 1/3 (*.f64 1/2 (/.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) N) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))))) N)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))) N)))>
#<alt (*.f64 -1 (pow.f64 (log.f64 N) 4))>
#<alt (-.f64 (pow.f64 N 4) (pow.f64 (log.f64 N) 4))>
#<alt (-.f64 (*.f64 (pow.f64 N 4) (+.f64 1 (*.f64 -2 N))) (pow.f64 (log.f64 N) 4))>
#<alt (-.f64 (*.f64 (pow.f64 N 4) (+.f64 1 (*.f64 N (-.f64 (*.f64 17/6 N) 2)))) (pow.f64 (log.f64 N) 4))>
#<alt (*.f64 -4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 3) N))>
#<alt (/.f64 (+.f64 (*.f64 -4 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (+.f64 1 (log.f64 (/.f64 1 N)))) N)) (*.f64 4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)))) N)>
#<alt (/.f64 (+.f64 (*.f64 -4 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (+.f64 1 (log.f64 (/.f64 1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -4 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (+.f64 1 (log.f64 (/.f64 1 N)))) N)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) 1)) (pow.f64 N 2))) (*.f64 4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)))))) N)>
#<alt (/.f64 (+.f64 (*.f64 -4 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (+.f64 1 (log.f64 (/.f64 1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) 1)) (pow.f64 N 3))) (+.f64 (*.f64 -4 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (+.f64 11/12 (*.f64 1/2 (log.f64 (/.f64 1 N))))) (pow.f64 N 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (+.f64 1 (log.f64 (/.f64 1 N)))) N)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) 1)) (pow.f64 N 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (/.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 1 N))) 2) (pow.f64 N 3))))))))) N)>
#<alt (*.f64 4 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3) N))>
#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) (*.f64 4 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N))) N))>
#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (*.f64 2 (*.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)))) N)) (+.f64 (*.f64 2 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) (*.f64 4 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)))) N))) N))>
#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (*.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (*.f64 2 (*.f64 (+.f64 11/12 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) (pow.f64 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) 2))) N)) (*.f64 2 (*.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))))) N)) (+.f64 (*.f64 2 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) (*.f64 4 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)))) N))) N))>
#<alt (pow.f64 (log.f64 (/.f64 1 N)) 4)>
#<alt (pow.f64 (log.f64 (/.f64 1 N)) 4)>
#<alt (pow.f64 (log.f64 (/.f64 1 N)) 4)>
#<alt (pow.f64 (log.f64 (/.f64 1 N)) 4)>
#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 4)>
#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 4)>
#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 4)>
#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 4)>
#<alt (pow.f64 N 4)>
#<alt (*.f64 (pow.f64 N 4) (+.f64 1 (*.f64 -2 N)))>
#<alt (*.f64 (pow.f64 N 4) (+.f64 1 (*.f64 N (-.f64 (*.f64 17/6 N) 2))))>
#<alt (*.f64 (pow.f64 N 4) (+.f64 1 (*.f64 N (-.f64 (*.f64 N (+.f64 17/6 (*.f64 -7/2 N))) 2))))>
#<alt (pow.f64 (log.f64 (/.f64 1 N)) 4)>
#<alt (+.f64 (*.f64 -4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 3) N)) (pow.f64 (log.f64 (/.f64 1 N)) 4))>
#<alt (+.f64 (*.f64 -4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 3) N)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (+.f64 1 (log.f64 (/.f64 1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (pow.f64 (log.f64 (/.f64 1 N)) 4))))>
#<alt (+.f64 (*.f64 -4 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (+.f64 1 (log.f64 (/.f64 1 N)))) (pow.f64 N 3))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 3) N)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (+.f64 1 (log.f64 (/.f64 1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) 1)) (pow.f64 N 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (pow.f64 (log.f64 (/.f64 1 N)) 4))))))>
#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 4)>
#<alt (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3) N)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 4))>
#<alt (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) (*.f64 4 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) N))) N)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 4))>
#<alt (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (*.f64 2 (*.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)))) N)) (+.f64 (*.f64 2 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))) (*.f64 4 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)))) N))) N)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 4))>
Calls

42 calls:

TimeVariablePointExpression
34.0ms
N
@0
(- (pow (log (+ 1 N)) 4) (pow (log N) 4))
2.0ms
N
@-inf
(- (pow (log (+ 1 N)) 4) (pow (log N) 4))
2.0ms
N
@inf
(- (pow (log (+ 1 N)) 4) (pow (log N) 4))
1.0ms
N
@inf
(sqrt (log (+ 1 N)))
1.0ms
N
@-inf
(sqrt (log (+ 1 N)))

rewrite134.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
341×log1p-expm1-u
341×expm1-log1p-u
326×add-cube-cbrt
324×pow1
323×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044413
1749377
Stop Event
node limit
Counts
14 → 311
Calls
Call 1
Inputs
(/.f64 1/3 N)
(/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (/.f64 1/4 (pow.f64 N 3))) N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 1 (/.f64 1/2 N))
(*.f64 1/3 (pow.f64 N -2))
(*.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) (/.f64 1 N))
(-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N))
(-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(sqrt.f64 (log1p.f64 N))
(-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))
(pow.f64 (log.f64 N) 4)
(pow.f64 (log1p.f64 N) 4)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 N))) 1)
(*.f64 1/3 N)
(*.f64 1 (*.f64 1/3 N))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 N)) 2) (cbrt.f64 (*.f64 1/3 N)))
(*.f64 (sqrt.f64 (*.f64 1/3 N)) (sqrt.f64 (*.f64 1/3 N)))
(pow.f64 (*.f64 1/3 N) 1)
(pow.f64 (cbrt.f64 (*.f64 1/3 N)) 3)
(pow.f64 (pow.f64 (*.f64 1/3 N) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 N)) 2)
(pow.f64 (/.f64 N 1/3) -1)
(sqrt.f64 (/.f64 1/9 (pow.f64 N -2)))
(log.f64 (pow.f64 (exp.f64 1/3) N))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 N))))
(cbrt.f64 (pow.f64 (*.f64 1/3 N) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 N)))
(log1p.f64 (expm1.f64 (*.f64 1/3 N)))
(exp.f64 (log.f64 (*.f64 1/3 N)))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 N)) 1))
(-.f64 (fma.f64 (fma.f64 1/3 N -1/2) N 1) 1)
(*.f64 (fma.f64 1/3 N -1/2) N)
(*.f64 1 (*.f64 (fma.f64 1/3 N -1/2) N))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 1/3 N -1/2) N)) 2) (cbrt.f64 (*.f64 (fma.f64 1/3 N -1/2) N)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 1/3 N -1/2) N)) (sqrt.f64 (*.f64 (fma.f64 1/3 N -1/2) N)))
(pow.f64 (*.f64 (fma.f64 1/3 N -1/2) N) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 1/3 N -1/2) N)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 1/3 N -1/2) N) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 1/3 N -1/2) N)) 2)
(pow.f64 (/.f64 N (fma.f64 1/3 N -1/2)) -1)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 1/3 N -1/2) N) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 1/3 N -1/2)) N))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 1/3 N -1/2) N))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 1/3 N -1/2) N) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 1/3 N -1/2) N)))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 1/3 N -1/2) N)))
(exp.f64 (log.f64 (*.f64 (fma.f64 1/3 N -1/2) N)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 1/3 N -1/2) N)) 1))
(-.f64 (/.f64 (fma.f64 (fma.f64 1/3 N -1/2) N 1) N) (/.f64 (*.f64 1/4 (pow.f64 N 3)) N))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (fma.f64 (fma.f64 1/3 N -1/2) N 1) (*.f64 1/4 (pow.f64 N 3))) N))) 1)
(*.f64 1 (*.f64 (-.f64 (fma.f64 (fma.f64 1/3 N -1/2) N 1) (*.f64 1/4 (pow.f64 N 3))) N))
(*.f64 (-.f64 (fma.f64 (fma.f64 1/3 N -1/2) N 1) (*.f64 1/4 (pow.f64 N 3))) N)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (fma.f64 (fma.f64 1/3 N -1/2) N 1) (*.f64 1/4 (pow.f64 N 3))) N)) 2) (cbrt.f64 (*.f64 (-.f64 (fma.f64 (fma.f64 1/3 N -1/2) N 1) (*.f64 1/4 (pow.f64 N 3))) N)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 (fma.f64 (fma.f64 1/3 N -1/2) N 1) (*.f64 1/4 (pow.f64 N 3))) N)) (sqrt.f64 (*.f64 (-.f64 (fma.f64 (fma.f64 1/3 N -1/2) N 1) (*.f64 1/4 (pow.f64 N 3))) N)))
(pow.f64 (*.f64 (-.f64 (fma.f64 (fma.f64 1/3 N -1/2) N 1) (*.f64 1/4 (pow.f64 N 3))) N) 1)
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(pow.f64 (pow.f64 (*.f64 N (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (fma.f64 1/2 N (*.f64 1/4 (pow.f64 N 3))))) 3) 1/3)
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(*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 12) (pow.f64 (log.f64 N) 12)) (+.f64 (pow.f64 (log1p.f64 N) 8) (+.f64 (pow.f64 (log.f64 N) 8) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 4))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 8) (pow.f64 (log.f64 N) 8)) (+.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)))
(pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))) 2)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))) 1))
(fma.f64 1 (pow.f64 (log1p.f64 N) 4) (neg.f64 (pow.f64 (log.f64 N) 4)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 8)) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (neg.f64 (pow.f64 (log.f64 N) 4)))
(fma.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 4)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 N) 4))) 1)
(*.f64 1 (pow.f64 (log.f64 N) 4))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 8)) (cbrt.f64 (pow.f64 (log.f64 N) 4)))
(*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (log.f64 N) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) 4) (pow.f64 (cbrt.f64 (log.f64 N)) 4))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 N)) 4) (pow.f64 (sqrt.f64 (log.f64 N)) 4))
(sqrt.f64 (pow.f64 (log.f64 N) 8))
(log.f64 (exp.f64 (pow.f64 (log.f64 N) 4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 4))))
(cbrt.f64 (pow.f64 (log.f64 N) 12))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 4)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 N) 4)))
(exp.f64 (*.f64 4 (log.f64 (log.f64 N))))
(exp.f64 (*.f64 (*.f64 4 (log.f64 (log.f64 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 4))) 1)
(*.f64 1 (pow.f64 (log1p.f64 N) 4))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 8)) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)))
(*.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log1p.f64 N) 2))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) 4) (pow.f64 (sqrt.f64 (log1p.f64 N)) 4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 4) (pow.f64 (cbrt.f64 (log1p.f64 N)) 4))
(sqrt.f64 (pow.f64 (log1p.f64 N) 8))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 4))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 12))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 4)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 4)))
(exp.f64 (*.f64 4 (log.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (*.f64 4 (log.f64 (log1p.f64 N))) 1))

simplify292.0ms (3.1%)

Algorithm
egg-herbie
Rules
932×fma-define
718×associate-*r*
708×associate-*l*
548×+-commutative
478×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0102522585
1248819756
Stop Event
node limit
Counts
463 → 613
Calls
Call 1
Inputs
(/.f64 1/3 (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 -1/2 N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)
(/.f64 -1/2 N)
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))
(/.f64 -1/4 (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4) (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))
(/.f64 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)
(/.f64 1 N)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 -1/2 (pow.f64 N 2))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(/.f64 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 1 N)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))
(/.f64 -1/2 N)
(/.f64 (-.f64 N 1/2) N)
(/.f64 (-.f64 N 1/2) N)
(/.f64 (-.f64 N 1/2) N)
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 -1/4 (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4) (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))
(/.f64 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)
(/.f64 1 N)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 2))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N)))
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N)))
(/.f64 -1/4 (pow.f64 N 3))
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 3))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4) (pow.f64 N 3))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 3))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N)))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))) N)))
(*.f64 -1 (log.f64 N))
(-.f64 N (log.f64 N))
(-.f64 (*.f64 N (+.f64 1 (*.f64 -1/2 N))) (log.f64 N))
(-.f64 (*.f64 N (+.f64 1 (*.f64 N (-.f64 (*.f64 1/3 N) 1/2)))) (log.f64 N))
(/.f64 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)
(/.f64 1 N)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))
(sqrt.f64 N)
(+.f64 (sqrt.f64 N) (*.f64 -1/4 (sqrt.f64 (pow.f64 N 3))))
(+.f64 (sqrt.f64 N) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 N))) (*.f64 1/6 (sqrt.f64 N)))))
(+.f64 (sqrt.f64 N) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 N))) (*.f64 N (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 N) (+.f64 1/4 (*.f64 1/16 (/.f64 1 N))))) (*.f64 1/6 (sqrt.f64 (/.f64 1 N))))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 N (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1)))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (pow.f64 N 2) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 N (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (pow.f64 N 2) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (*.f64 N (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 1/3 (*.f64 -1/2 (/.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (pow.f64 N 3) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1)))))
(sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))
(+.f64 (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 1/2 (*.f64 (/.f64 1 N) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))))
(+.f64 (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) (*.f64 1/2 (*.f64 (/.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) N) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))))) N)))
(+.f64 (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))) (*.f64 1/2 (*.f64 (/.f64 (+.f64 1/3 (*.f64 1/2 (/.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))) N) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))))) N)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))) N)))
(*.f64 -1 (pow.f64 (log.f64 N) 4))
(-.f64 (pow.f64 N 4) (pow.f64 (log.f64 N) 4))
(-.f64 (*.f64 (pow.f64 N 4) (+.f64 1 (*.f64 -2 N))) (pow.f64 (log.f64 N) 4))
(-.f64 (*.f64 (pow.f64 N 4) (+.f64 1 (*.f64 N (-.f64 (*.f64 17/6 N) 2)))) (pow.f64 (log.f64 N) 4))
(*.f64 -4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 3) N))
(/.f64 (+.f64 (*.f64 -4 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (+.f64 1 (log.f64 (/.f64 1 N)))) N)) (*.f64 4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)))) N)
(/.f64 (+.f64 (*.f64 -4 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (+.f64 1 (log.f64 (/.f64 1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -4 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (+.f64 1 (log.f64 (/.f64 1 N)))) N)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) 1)) (pow.f64 N 2))) (*.f64 4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)))))) N)
(/.f64 (+.f64 (*.f64 -4 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (+.f64 1 (log.f64 (/.f64 1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) 1)) (pow.f64 N 3))) (+.f64 (*.f64 -4 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (+.f64 11/12 (*.f64 1/2 (log.f64 (/.f64 1 N))))) (pow.f64 N 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (+.f64 1 (log.f64 (/.f64 1 N)))) N)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) 1)) (pow.f64 N 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (/.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 1 N))) 2) (pow.f64 N 3))))))))) N)
(*.f64 4 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 3) N))
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(*.f64 1 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (fma.f64 1/2 N (*.f64 1/4 (pow.f64 N 3)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (fma.f64 1/2 N (*.f64 1/4 (pow.f64 N 3))))) 2) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (fma.f64 1/2 N (*.f64 1/4 (pow.f64 N 3))))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (fma.f64 1/2 N (*.f64 1/4 (pow.f64 N 3))))) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (fma.f64 1/2 N (*.f64 1/4 (pow.f64 N 3))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (*.f64 1/2 N)) 3) (*.f64 (pow.f64 (pow.f64 N 3) 3) 1/64)) (+.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (*.f64 1/2 N)) 2) (+.f64 (/.f64 1/16 (pow.f64 N -6)) (*.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (*.f64 1/2 N)) (*.f64 1/4 (pow.f64 N 3))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (*.f64 1/2 N)) 2) (/.f64 1/16 (pow.f64 N -6))) (+.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (*.f64 1/2 N)) (*.f64 1/4 (pow.f64 N 3))))
(pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (fma.f64 1/2 N (*.f64 1/4 (pow.f64 N 3)))) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (fma.f64 1/2 N (*.f64 1/4 (pow.f64 N 3))))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (fma.f64 1/2 N (*.f64 1/4 (pow.f64 N 3)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (fma.f64 1/2 N (*.f64 1/4 (pow.f64 N 3))))) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (fma.f64 1/2 N (*.f64 1/4 (pow.f64 N 3)))) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (fma.f64 1/2 N (*.f64 1/4 (pow.f64 N 3))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (fma.f64 1/2 N (*.f64 1/4 (pow.f64 N 3)))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (fma.f64 1/2 N (*.f64 1/4 (pow.f64 N 3)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (fma.f64 1/2 N (*.f64 1/4 (pow.f64 N 3))))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (fma.f64 1/2 N (*.f64 1/4 (pow.f64 N 3))))))
(exp.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (fma.f64 1/2 N (*.f64 1/4 (pow.f64 N 3))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (fma.f64 1/2 N (*.f64 1/4 (pow.f64 N 3))))) 1))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -2) 1) (neg.f64 (fma.f64 1/2 N (*.f64 1/4 (pow.f64 N 3)))))
(fma.f64 1 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (*.f64 1/2 N)) (neg.f64 (*.f64 1/4 (pow.f64 N 3))))
(fma.f64 1 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (*.f64 1/2 N)) (*.f64 -1/4 (pow.f64 N 3)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (*.f64 1/2 N))) 2) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (*.f64 1/2 N))) (neg.f64 (*.f64 1/4 (pow.f64 N 3))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (*.f64 1/2 N))) 2) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (*.f64 1/2 N))) (*.f64 -1/4 (pow.f64 N 3)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -2) 1)) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -2) 1)) (neg.f64 (fma.f64 1/2 N (*.f64 1/4 (pow.f64 N 3)))))
(fma.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (*.f64 1/2 N))) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (*.f64 1/2 N))) (neg.f64 (*.f64 1/4 (pow.f64 N 3))))
(fma.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (*.f64 1/2 N))) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -2) 1) (*.f64 1/2 N))) (*.f64 -1/4 (pow.f64 N 3)))
(fma.f64 (hypot.f64 1 (*.f64 N (sqrt.f64 1/3))) (hypot.f64 1 (*.f64 N (sqrt.f64 1/3))) (neg.f64 (fma.f64 1/2 N (*.f64 1/4 (pow.f64 N 3)))))
(+.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 1)
(*.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (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))))
(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 1 N) N))
(log.f64 (+.f64 1 (-.f64 (*.f64 (+.f64 1 N) N) 1)))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (-.f64 (*.f64 (+.f64 1 N) N) 1))
(exp.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N)))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 1/2)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3)
(pow.f64 (pow.f64 (log1p.f64 N) 1/4) 2)
(fabs.f64 (sqrt.f64 (log1p.f64 N)))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 N)))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 1))
(+.f64 (pow.f64 (log1p.f64 N) 4) (neg.f64 (pow.f64 (log.f64 N) 4)))
(+.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2) (pow.f64 (log.f64 N) 4)))
(+.f64 (fma.f64 1 (pow.f64 (log1p.f64 N) 4) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 4) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 4)) 1 (*.f64 (pow.f64 (log.f64 N) 4) 1)))
(+.f64 (fma.f64 1 (pow.f64 (log1p.f64 N) 4) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4)) (cbrt.f64 (pow.f64 (log.f64 N) 8))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4))) (cbrt.f64 (pow.f64 (log.f64 N) 8)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4)) (cbrt.f64 (pow.f64 (log.f64 N) 8)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 8)) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 4) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 4)) 1 (*.f64 (pow.f64 (log.f64 N) 4) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 8)) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4)) (cbrt.f64 (pow.f64 (log.f64 N) 8))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4))) (cbrt.f64 (pow.f64 (log.f64 N) 8)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4)) (cbrt.f64 (pow.f64 (log.f64 N) 8)))))
(+.f64 (fma.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log1p.f64 N) 2) (neg.f64 (*.f64 (pow.f64 (log.f64 N) 4) 1))) (fma.f64 (neg.f64 (pow.f64 (log.f64 N) 4)) 1 (*.f64 (pow.f64 (log.f64 N) 4) 1)))
(+.f64 (fma.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log1p.f64 N) 2) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4)) (cbrt.f64 (pow.f64 (log.f64 N) 8))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4))) (cbrt.f64 (pow.f64 (log.f64 N) 8)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4)) (cbrt.f64 (pow.f64 (log.f64 N) 8)))))
(*.f64 1 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 12) (pow.f64 (log.f64 N) 12)) (+.f64 (pow.f64 (log1p.f64 N) 8) (+.f64 (pow.f64 (log.f64 N) 8) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 4))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 8) (pow.f64 (log.f64 N) 8)) (+.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)))
(pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))) 2)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))) 1))
(fma.f64 1 (pow.f64 (log1p.f64 N) 4) (neg.f64 (pow.f64 (log.f64 N) 4)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 8)) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (neg.f64 (pow.f64 (log.f64 N) 4)))
(fma.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 4)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 N) 4))) 1)
(*.f64 1 (pow.f64 (log.f64 N) 4))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 8)) (cbrt.f64 (pow.f64 (log.f64 N) 4)))
(*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (log.f64 N) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) 4) (pow.f64 (cbrt.f64 (log.f64 N)) 4))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 N)) 4) (pow.f64 (sqrt.f64 (log.f64 N)) 4))
(sqrt.f64 (pow.f64 (log.f64 N) 8))
(log.f64 (exp.f64 (pow.f64 (log.f64 N) 4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 4))))
(cbrt.f64 (pow.f64 (log.f64 N) 12))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 4)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 N) 4)))
(exp.f64 (*.f64 4 (log.f64 (log.f64 N))))
(exp.f64 (*.f64 (*.f64 4 (log.f64 (log.f64 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 4))) 1)
(*.f64 1 (pow.f64 (log1p.f64 N) 4))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 8)) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)))
(*.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log1p.f64 N) 2))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) 4) (pow.f64 (sqrt.f64 (log1p.f64 N)) 4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 4) (pow.f64 (cbrt.f64 (log1p.f64 N)) 4))
(sqrt.f64 (pow.f64 (log1p.f64 N) 8))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 4))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 12))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 4)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 4)))
(exp.f64 (*.f64 4 (log.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (*.f64 4 (log.f64 (log1p.f64 N))) 1))
Outputs
(/.f64 1/3 (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 N -1/2)) (pow.f64 N 2))
(/.f64 (fma.f64 N -1/2 1/3) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 N -1/2)) (pow.f64 N 2))
(/.f64 (fma.f64 N -1/2 1/3) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 N -1/2)) (pow.f64 N 2))
(/.f64 (fma.f64 N -1/2 1/3) (pow.f64 N 2))
(/.f64 -1/2 N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)
(/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)
(/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)
(/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)
(/.f64 -1/2 N)
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))
(neg.f64 (/.f64 (-.f64 1/2 (/.f64 1/3 N)) N))
(/.f64 (+.f64 1/2 (/.f64 -1/3 N)) (neg.f64 N))
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))
(neg.f64 (/.f64 (-.f64 1/2 (/.f64 1/3 N)) N))
(/.f64 (+.f64 1/2 (/.f64 -1/3 N)) (neg.f64 N))
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))
(neg.f64 (/.f64 (-.f64 1/2 (/.f64 1/3 N)) N))
(/.f64 (+.f64 1/2 (/.f64 -1/3 N)) (neg.f64 N))
(/.f64 -1/4 (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 4))
(/.f64 (fma.f64 1/3 N -1/4) (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4) (pow.f64 N 4))
(/.f64 (fma.f64 N (+.f64 1/3 (*.f64 N -1/2)) -1/4) (pow.f64 N 4))
(/.f64 (fma.f64 N (fma.f64 N -1/2 1/3) -1/4) (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))
(/.f64 (fma.f64 N (+.f64 1/3 (*.f64 N (+.f64 N -1/2))) -1/4) (pow.f64 N 4))
(/.f64 (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) (pow.f64 N 4))
(/.f64 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (+.f64 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
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(/.f64 (-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 2)) 1) (+.f64 (/.f64 1/2 N) (/.f64 1/4 (pow.f64 N 3)))) N)
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(pow.f64 (pow.f64 (*.f64 (fma.f64 1/3 N -1/2) N) 3) 1/3)
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(pow.f64 (/.f64 N (fma.f64 1/3 N -1/2)) -1)
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 1/3 N -1/2) N))))
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(log.f64 (exp.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))))
(-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)))))
(-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) 3))
(-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))))
(-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))
(exp.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))))
(-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))) 1))
(-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))
(fma.f64 1 (pow.f64 (log1p.f64 N) 4) (neg.f64 (pow.f64 (log.f64 N) 4)))
(-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 8)) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (neg.f64 (pow.f64 (log.f64 N) 4)))
(fma.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log1p.f64 N) 2) (neg.f64 (pow.f64 (log.f64 N) 4)))
(-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 N) 4))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 4)))
(*.f64 1 (pow.f64 (log.f64 N) 4))
(pow.f64 (log.f64 N) 4)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 8)) (cbrt.f64 (pow.f64 (log.f64 N) 4)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4)) (cbrt.f64 (pow.f64 (log.f64 N) 8)))
(*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (log.f64 N) 2))
(pow.f64 (log.f64 N) 4)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) 4) (pow.f64 (cbrt.f64 (log.f64 N)) 4))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 N)) 4) (pow.f64 (sqrt.f64 (log.f64 N)) 4))
(pow.f64 (sqrt.f64 (log.f64 N)) 8)
(sqrt.f64 (pow.f64 (log.f64 N) 8))
(log.f64 (exp.f64 (pow.f64 (log.f64 N) 4)))
(pow.f64 (log.f64 N) 4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 4))))
(pow.f64 (log.f64 N) 4)
(cbrt.f64 (pow.f64 (log.f64 N) 12))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 4)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 N) 4)))
(pow.f64 (log.f64 N) 4)
(exp.f64 (*.f64 4 (log.f64 (log.f64 N))))
(pow.f64 (log.f64 N) 4)
(exp.f64 (*.f64 (*.f64 4 (log.f64 (log.f64 N))) 1))
(pow.f64 (log.f64 N) 4)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 4))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 4)))
(*.f64 1 (pow.f64 (log1p.f64 N) 4))
(pow.f64 (log1p.f64 N) 4)
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 8)) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)))
(*.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log1p.f64 N) 2))
(pow.f64 (log1p.f64 N) 4)
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) 4) (pow.f64 (sqrt.f64 (log1p.f64 N)) 4))
(pow.f64 (sqrt.f64 (log1p.f64 N)) 8)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 4) (pow.f64 (cbrt.f64 (log1p.f64 N)) 4))
(sqrt.f64 (pow.f64 (log1p.f64 N) 8))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 4)))
(pow.f64 (log1p.f64 N) 4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 4))))
(pow.f64 (log1p.f64 N) 4)
(cbrt.f64 (pow.f64 (log1p.f64 N) 12))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 4)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 4)))
(pow.f64 (log1p.f64 N) 4)
(exp.f64 (*.f64 4 (log.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 4)
(exp.f64 (*.f64 (*.f64 4 (log.f64 (log1p.f64 N))) 1))
(pow.f64 (log1p.f64 N) 4)

eval709.0ms (7.5%)

Compiler

Compiled 31517 to 20779 computations (34.1% saved)

prune273.0ms (2.9%)

Pruning

44 alts after pruning (31 fresh and 13 done)

PrunedKeptTotal
New1089111100
Fresh52025
Picked055
Done088
Total1094441138
Accuracy
99.7%
Counts
1138 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
28.2%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
28.2%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (cbrt.f64 (pow.f64 (log1p.f64 N) 3/2)) (neg.f64 (log.f64 N)))
27.3%
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
27.7%
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (exp.f64 (*.f64 (log.f64 (log.f64 N)) 1/2))) (log1p.f64 N))
27.0%
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 N) 3/2))) (log1p.f64 N))
90.2%
(pow.f64 (pow.f64 (/.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) N) 3) 1/3)
95.0%
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) N)) 2)
28.1%
(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2) (neg.f64 (pow.f64 (log.f64 N) 3))) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
23.5%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (+.f64 (log.f64 N) (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
26.6%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (cbrt.f64 (pow.f64 (log.f64 N) 9))) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
26.5%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
95.6%
(/.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (/.f64 1/4 (pow.f64 N 3))) N)
94.2%
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
91.1%
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
95.6%
(/.f64 (-.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
94.2%
(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N)
91.4%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
93.8%
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
82.3%
(/.f64 1 N)
26.5%
(-.f64 (log1p.f64 N) (log.f64 N))
27.4%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
28.0%
(*.f64 (fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (neg.f64 (pow.f64 (log.f64 N) 2))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
26.5%
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 3) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
29.2%
(*.f64 (/.f64 (fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 8)) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (neg.f64 (pow.f64 (log.f64 N) 4))) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
95.2%
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 -4 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (+.f64 1 (log.f64 (/.f64 1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) 1)) (pow.f64 N 3))) (+.f64 (*.f64 -4 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (+.f64 11/12 (*.f64 1/2 (log.f64 (/.f64 1 N))))) (pow.f64 N 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (+.f64 1 (log.f64 (/.f64 1 N)))) N)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) 1)) (pow.f64 N 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (/.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 1 N))) 2) (pow.f64 N 3))))))))) N) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
26.5%
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
26.5%
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (+.f64 (pow.f64 (log1p.f64 N) 2) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 2))))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
95.4%
(*.f64 (/.f64 (-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 N))) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 1 N) (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 3))) (/.f64 (log.f64 (/.f64 1 N)) N)))))) (/.f64 1 (pow.f64 N 2))) N) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
95.2%
(*.f64 (/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 3)) (/.f64 1 N))
27.4%
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 4 (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 N) 4)) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
27.2%
(*.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log1p.f64 N) 2) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4)) (cbrt.f64 (pow.f64 (log.f64 N) 8))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4))) (cbrt.f64 (pow.f64 (log.f64 N) 8)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4)) (cbrt.f64 (pow.f64 (log.f64 N) 8))))) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
26.5%
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 3))
26.5%
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
95.5%
(*.f64 (-.f64 (/.f64 (fma.f64 N (+.f64 N -1/2) 1/3) (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -3))) (/.f64 1 N))
95.5%
(*.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) (/.f64 1 N))
95.6%
(*.f64 (-.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (/.f64 1 N))
27.6%
(*.f64 2 (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))))
27.7%
(*.f64 2 (*.f64 2 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/4))))
28.4%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
29.5%
(log.f64 (/.f64 (+.f64 N 1) N))
26.5%
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
94.8%
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) 3) (pow.f64 N 3)))
3.3%
0
Compiler

Compiled 2475 to 1685 computations (31.9% saved)

regimes70.0ms (0.7%)

Counts
57 → 2
Calls
Call 1
Inputs
0
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N)
(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)
(/.f64 (-.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (neg.f64 N))
(*.f64 (-.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (/.f64 1 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (/.f64 1/4 (pow.f64 N 3))) N)
(*.f64 (/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 3)) (/.f64 1 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 2 (*.f64 2 (log.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/4))))
(/.f64 1 (/.f64 N (+.f64 (/.f64 -1/2 N) (fma.f64 1/3 (pow.f64 N -2) 1))))
(/.f64 (-.f64 (+.f64 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) (/.f64 1/4 (pow.f64 N 3))) N)
(*.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) (/.f64 1 N))
(*.f64 (-.f64 (/.f64 (fma.f64 N (+.f64 N -1/2) 1/3) (pow.f64 N 2)) (*.f64 1/4 (pow.f64 N -3))) (/.f64 1 N))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) N)) 2)
(pow.f64 (pow.f64 (/.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) N) 3) 1/3)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 2 (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 N -2))) (/.f64 1/2 N)) (*.f64 1/4 (pow.f64 N -3))) 3) (pow.f64 N 3)))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (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 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 N) 3/2))) (log1p.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (cbrt.f64 (pow.f64 (log1p.f64 N) 3/2)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (exp.f64 (*.f64 (log.f64 (log.f64 N)) 1/2))) (log1p.f64 N))
(*.f64 (-.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 6)) (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)) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 3) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (+.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) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (+.f64 (log.f64 N) (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(*.f64 (/.f64 (-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 N))) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 1 N) (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 3))) (/.f64 (log.f64 (/.f64 1 N)) N)))))) (/.f64 1 (pow.f64 N 2))) N) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(fma.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2))) (sqrt.f64 (cbrt.f64 (log.f64 N)))) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (cbrt.f64 (pow.f64 (log.f64 N) 9))) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(*.f64 (fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (neg.f64 (pow.f64 (log.f64 N) 2))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 4 (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 N) 4)) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 2) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (+.f64 (pow.f64 (log1p.f64 N) 2) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 2))))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2) (neg.f64 (pow.f64 (log.f64 N) 3))) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(*.f64 (/.f64 (fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 8)) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (neg.f64 (pow.f64 (log.f64 N) 4))) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(*.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log1p.f64 N) 2) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4)) (cbrt.f64 (pow.f64 (log.f64 N) 8))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4))) (cbrt.f64 (pow.f64 (log.f64 N) 8)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4)) (cbrt.f64 (pow.f64 (log.f64 N) 8))))) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 -4 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (+.f64 1 (log.f64 (/.f64 1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) 1)) (pow.f64 N 3))) (+.f64 (*.f64 -4 (pow.f64 (log.f64 (/.f64 1 N)) 3)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (+.f64 11/12 (*.f64 1/2 (log.f64 (/.f64 1 N))))) (pow.f64 N 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (+.f64 1 (log.f64 (/.f64 1 N)))) N)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) 1)) (pow.f64 N 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (/.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 1 N))) 2) (pow.f64 N 3))))))))) N) (+.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (/.f64 (-.f64 (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)) (+.f64 (*.f64 -4/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (+.f64 11/12 (*.f64 1/2 (log.f64 (/.f64 1 N))))) (pow.f64 N 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (+.f64 1 (log.f64 (/.f64 1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 N)) (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) 1)) (pow.f64 N 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (pow.f64 N 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) N)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 3))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2) (pow.f64 N 2))) (+.f64 (*.f64 2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2))) (+.f64 (*.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2))))))))))))) (/.f64 1 (pow.f64 N 3))) N) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(/.f64 (/.f64 (+.f64 (fma.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N) (+.f64 (fma.f64 -4/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (*.f64 (log.f64 N) (/.f64 (fma.f64 1/2 (neg.f64 (log.f64 N)) 11/12) (pow.f64 N 3)))) (+.f64 (*.f64 (log.f64 N) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) -2/3 -1) (pow.f64 N 2))) (+.f64 (fma.f64 -1/2 (/.f64 (-.f64 1 (log.f64 N)) (pow.f64 N 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 N) 2) N) (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 3)) (fma.f64 1/3 (/.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 2)) (fma.f64 2 (neg.f64 (/.f64 (log.f64 N) (pow.f64 N 2))) (+.f64 (*.f64 3 (pow.f64 (log.f64 N) 2)) (/.f64 1 (pow.f64 N 2)))))))) (*.f64 (log.f64 N) (/.f64 (-.f64 1 (log.f64 N)) N)))))) (/.f64 -1 (pow.f64 N 3))) N) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2)))
Outputs
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (/.f64 1/4 (pow.f64 N 3))) N)
Calls

2 calls:

54.0ms
N
13.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
99.3%2N
99.3%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes18.0ms (0.2%)

Counts
13 → 2
Calls
Call 1
Inputs
0
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N)
(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)
(/.f64 (-.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (neg.f64 N))
(*.f64 (-.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (/.f64 1 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
Outputs
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)
Calls

1 calls:

14.0ms
N
Results
AccuracySegmentsBranch
99.3%2N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
0
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N)
(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)
(/.f64 (-.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (neg.f64 N))
(*.f64 (-.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (/.f64 1 N))
Outputs
(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)
Calls

1 calls:

5.0ms
N
Results
AccuracySegmentsBranch
95.6%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
0
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N)
Outputs
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
Calls

1 calls:

4.0ms
N
Results
AccuracySegmentsBranch
94.2%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
0
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
Outputs
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
Calls

1 calls:

5.0ms
N
Results
AccuracySegmentsBranch
91.4%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
0
(/.f64 1 N)
Outputs
(/.f64 1 N)
Calls

1 calls:

3.0ms
N
Results
AccuracySegmentsBranch
82.3%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
0
Outputs
0
Calls

1 calls:

3.0ms
N
Results
AccuracySegmentsBranch
3.3%1N
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch14.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
539.4583027308921
1175.1696918749988
Results
12.0ms79×256valid
0.0ms256valid
Compiler

Compiled 147 to 114 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-log, time spent: 5.0ms, 87.0% of total-time
Operation ival-add, time spent: 1.0ms, 17.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch14.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
539.4583027308921
1175.1696918749988
Results
12.0ms79×256valid
0.0ms256valid
Compiler

Compiled 137 to 104 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-log, time spent: 3.0ms, 67.0% of total-time
Operation ival-add, time spent: 1.0ms, 22.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify9.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
047317
162317
277317
389317
499317
5103317
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 N 1150) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (/.f64 1/4 (pow.f64 N 3))) N))
(if (<=.f64 N 1150) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N))
(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 1 N)
0
Outputs
(if (<=.f64 N 1150) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (/.f64 1/4 (pow.f64 N 3))) N))
(if (<=.f64 N 1150) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N))
(if (<=.f64 N 1150) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 1 N)
0
Compiler

Compiled 96 to 72 computations (25% saved)

soundness791.0ms (8.4%)

Rules
1268×fma-define
1142×fma-define
948×div-sub
788×prod-diff
788×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117524450
1306922359
03505046
17864788
221574729
369644723
0929
19229
2120129
0120622106
1321520283
017128
133104
263100
3109100
4175100
5268100
6346100
7405100
8457100
9492100
10518100
11520100
Stop Event
saturated
node limit
node limit
node limit
node limit
Compiler

Compiled 755 to 543 computations (28.1% saved)

end0.0ms (0%)

preprocess81.0ms (0.9%)

Compiler

Compiled 206 to 152 computations (26.2% saved)

Profiling

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