2log (problem 3.3.6)

Time bar (total: 9.7s)

analyze0.0ms (0%)

Algorithm
1×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

sample1.7s (17.5%)

Results
1.6s8255×256valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 971.0ms
Operation ival-log, time spent: 542.0ms, 56.0% of total-time
Operation ival-sub, time spent: 158.0ms, 16.0% of total-time
Operation ival-<, time spent: 116.0ms, 12.0% of total-time
Operation ival-add, time spent: 77.0ms, 8.0% of total-time
Operation ival->, time spent: 48.0ms, 5.0% of total-time
Operation const, time spent: 19.0ms, 2.0% of total-time
Operation ival-and, time spent: 11.0ms, 1.0% of total-time
Bogosity

preprocess350.0ms (3.6%)

Algorithm
1×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
2490-3(17.539350289744345)(-.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
1×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: 50.0ms
Operation ival-log, time spent: 36.0ms, 72.0% of total-time
Operation ival-add, time spent: 9.0ms, 18.0% 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)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶22.3%
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize43.0ms (0.4%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(log1p.f64 N)
✓22.3%
(-.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: 27.0ms
Operation ival-log, time spent: 11.0ms, 41.0% of total-time
Operation composed, time spent: 9.0ms, 34.0% of total-time
Operation ival-sub, time spent: 4.0ms, 15.0% of total-time
Operation ival-add, time spent: 2.0ms, 7.0% 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))

rewrite199.0ms (2%)

Algorithm
1×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
1×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))

simplify142.0ms (1.5%)

Algorithm
1×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
1×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)

eval57.0ms (0.6%)

Compiler

Compiled 3109 to 1418 computations (54.4% saved)

prune44.0ms (0.5%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New20415219
Fresh000
Picked011
Done000
Total20416220
Accuracy
99.5%
Counts
220 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.6%
(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)))
22.8%
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
23.5%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶22.3%
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
22.2%
(/.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)))
▶22.2%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
95.4%
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
93.7%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
▶96.2%
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (neg.f64 N))
22.2%
(/.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))))))
95.5%
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
▶86.0%
(/.f64 1 N)
✓22.3%
(-.f64 (log1p.f64 N) (log.f64 N))
23.4%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
24.3%
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
▶25.1%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 444 to 290 computations (34.7% saved)

localize247.0ms (2.6%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
✓99.6%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
✓99.3%
(pow.f64 (log.f64 N) 2)
✓99.3%
(pow.f64 (log1p.f64 N) 2)
✓22.8%
(-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))
100.0%
(log1p.f64 N)
✓99.1%
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
✓98.8%
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
22.3%
(-.f64 (log1p.f64 N) (log.f64 N))
✓100.0%
(/.f64 (+.f64 N 1) N)
✓25.1%
(log.f64 (/.f64 (+.f64 N 1) N))
✓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))
✓99.5%
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
Compiler

Compiled 162 to 91 computations (43.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
Operation ival-div, time spent: 46.0ms, 38.0% of total-time
Operation ival-log, time spent: 21.0ms, 17.0% of total-time
Operation ival-add, time spent: 19.0ms, 16.0% of total-time
Operation ival-pow, time spent: 12.0ms, 10.0% of total-time
Operation composed, time spent: 8.0ms, 7.0% of total-time
Operation ival-sub, time spent: 7.0ms, 6.0% of total-time
Operation const, time spent: 5.0ms, 4.0% of total-time
Operation ival-cbrt, time spent: 2.0ms, 2.0% of total-time
Operation ival-neg, time spent: 1.0ms, 1.0% of total-time

series110.0ms (1.1%)

Counts
12 → 140
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 (log.f64 (/.f64 (+.f64 N 1) N))>
#<alt (/.f64 (+.f64 N 1) N)>
#<alt (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)>
#<alt (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))>
#<alt (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))>
#<alt (pow.f64 (log1p.f64 N) 2)>
#<alt (pow.f64 (log.f64 N) 2)>
#<alt (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))>
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 (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 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 N)>
#<alt (/.f64 (+.f64 1 N) N)>
#<alt (/.f64 (+.f64 1 N) N)>
#<alt (/.f64 (+.f64 1 N) N)>
#<alt 1>
#<alt (+.f64 1 (/.f64 1 N))>
#<alt (+.f64 1 (/.f64 1 N))>
#<alt (+.f64 1 (/.f64 1 N))>
#<alt 1>
#<alt (+.f64 1 (/.f64 1 N))>
#<alt (+.f64 1 (/.f64 1 N))>
#<alt (+.f64 1 (/.f64 1 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))>
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#<alt (pow.f64 N 2)>
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#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)>
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#<alt (*.f64 -1 (log.f64 N))>
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#<alt (/.f64 1 N)>
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#<alt (/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 11/12 (*.f64 1/2 (log.f64 (/.f64 1 N)))) (*.f64 (pow.f64 N 3) (log.f64 (/.f64 1 N))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (*.f64 N (log.f64 (/.f64 1 N))))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) 1) (*.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N))))) (+.f64 (/.f64 1/6 (*.f64 (pow.f64 N 3) (log.f64 (/.f64 1 N)))) (/.f64 1/2 (*.f64 N (log.f64 (/.f64 1 N))))))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N)))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) (*.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N))))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) 1) (log.f64 (/.f64 1 N)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N)))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) (log.f64 (/.f64 1 N)))) (*.f64 1/4 (/.f64 1 (log.f64 (/.f64 1 N)))))) (*.f64 (pow.f64 N 3) (log.f64 (/.f64 1 N))))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N)))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N))))) (*.f64 (pow.f64 N 3) (log.f64 (/.f64 1 N))))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N))))))))) N)>
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#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 2)))) N))) N))>
#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -2/3 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 2)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (/.f64 (log.f64 -1) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 2))))) N)) (/.f64 1 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1)))))) (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 2)))) N))) N))>
#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (*.f64 11/12 (/.f64 1 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -2/3 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 2)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (/.f64 (log.f64 -1) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 2))))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 2)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (*.f64 2/3 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 2)))))) N)) (+.f64 (*.f64 -2/3 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1)))))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 N)) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (/.f64 1 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 2)))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))) (/.f64 (log.f64 -1) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 2))))) N)) (/.f64 1 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1)))))) (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))) 2)))) N))) N))>
Calls

36 calls:

TimeVariablePointExpression
33.0ms
N
@0
(pow (log N) 2)
26.0ms
N
@-inf
(pow (log N) 2)
6.0ms
N
@inf
(pow (log N) 2)
4.0ms
N
@-inf
(/ (- (pow (log (+ 1 N)) 2) (pow (log N) 2)) (+ (log (+ 1 N)) (log N)))
3.0ms
N
@0
(cbrt (- (log (+ 1 N)) (log N)))

rewrite391.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
290×associate-*r*
284×times-frac
235×log1p-expm1-u
235×expm1-log1p-u
227×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034308
1562304
Stop Event
1×node limit
Counts
12 → 533
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))
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 N 1) N)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))
(pow.f64 (log1p.f64 N) 2)
(pow.f64 (log.f64 N) 2)
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
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 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1)
(*.f64 1 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) 2) (/.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) N))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) 2) (*.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) (/.f64 -1 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) (sqrt.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)))
(*.f64 (sqrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) (/.f64 (sqrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) N))
(*.f64 (sqrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) (*.f64 (sqrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) (/.f64 -1 N)))
(*.f64 (+.f64 (/.f64 -1/4 N) -1/3) (/.f64 -1 N))
(*.f64 (/.f64 -1 N) (+.f64 1/3 (/.f64 -1/4 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) (cbrt.f64 N)))
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) (sqrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) 1) (/.f64 (sqrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) (cbrt.f64 N)))
(pow.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) 2)
(pow.f64 (/.f64 N (+.f64 1/3 (/.f64 -1/4 N))) -1)
(neg.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)))
(exp.f64 (log.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) 1))
(-.f64 1/3 (/.f64 -1/4 N))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/3 (/.f64 -1/4 N)))) 1)
(-.f64 (/.f64 1/9 (+.f64 1/3 (/.f64 -1/4 N))) (/.f64 (/.f64 1/16 (pow.f64 N 2)) (+.f64 1/3 (/.f64 -1/4 N))))
(*.f64 (+.f64 1/3 (/.f64 -1/4 N)) 1)
(*.f64 1 (+.f64 1/3 (/.f64 -1/4 N)))
(*.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) 2) (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))))
(*.f64 (sqrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) (sqrt.f64 (+.f64 1/3 (/.f64 -1/4 N))))
(*.f64 (+.f64 (/.f64 -1/64 (pow.f64 N 3)) 1/27) (/.f64 1 (-.f64 (+.f64 1/9 (/.f64 1/16 (pow.f64 N 2))) (/.f64 -1/12 N))))
(*.f64 (+.f64 1/9 (/.f64 1/16 (pow.f64 N 2))) (/.f64 1 (+.f64 1/3 (/.f64 -1/4 N))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1/9 (/.f64 1/16 (pow.f64 N 2))) (/.f64 -1/12 N)) (+.f64 (/.f64 -1/64 (pow.f64 N 3)) 1/27)))
(/.f64 1 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) (+.f64 1/9 (/.f64 1/16 (pow.f64 N 2)))))
(/.f64 (+.f64 (/.f64 -1/64 (pow.f64 N 3)) 1/27) (-.f64 (+.f64 1/9 (/.f64 1/16 (pow.f64 N 2))) (/.f64 -1/12 N)))
(/.f64 (+.f64 (/.f64 -1/64 (pow.f64 N 3)) 1/27) (+.f64 (/.f64 1/16 (pow.f64 N 2)) (-.f64 1/9 (/.f64 -1/12 N))))
(/.f64 (+.f64 1/9 (/.f64 1/16 (pow.f64 N 2))) (+.f64 1/3 (/.f64 -1/4 N)))
(/.f64 (neg.f64 (+.f64 (/.f64 -1/64 (pow.f64 N 3)) 1/27)) (neg.f64 (-.f64 (+.f64 1/9 (/.f64 1/16 (pow.f64 N 2))) (/.f64 -1/12 N))))
(/.f64 (neg.f64 (+.f64 1/9 (/.f64 1/16 (pow.f64 N 2)))) (+.f64 (/.f64 -1/4 N) -1/3))
(/.f64 (-.f64 1/27 (/.f64 -1/64 (pow.f64 N 3))) (+.f64 1/9 (+.f64 (/.f64 1/16 (pow.f64 N 2)) (/.f64 -1/12 N))))
(/.f64 (-.f64 (/.f64 1/16 (pow.f64 N 2)) 1/9) (-.f64 (/.f64 -1/4 N) 1/3))
(pow.f64 (+.f64 1/3 (/.f64 -1/4 N)) 1)
(pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) 3)
(pow.f64 (pow.f64 (+.f64 1/3 (/.f64 -1/4 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) 2)
(sqrt.f64 (pow.f64 (+.f64 1/3 (/.f64 -1/4 N)) 2))
(log.f64 (exp.f64 (+.f64 1/3 (/.f64 -1/4 N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/3 (/.f64 -1/4 N)))))
(cbrt.f64 (pow.f64 (+.f64 1/3 (/.f64 -1/4 N)) 3))
(expm1.f64 (log1p.f64 (+.f64 1/3 (/.f64 -1/4 N))))
(log1p.f64 (expm1.f64 (+.f64 1/3 (/.f64 -1/4 N))))
(exp.f64 (log.f64 (+.f64 1/3 (/.f64 -1/4 N))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/3 (/.f64 -1/4 N))) 1))
(fma.f64 -1/4 (/.f64 -1 N) 1/3)
(fma.f64 1 (/.f64 -1/4 N) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 N)) 2) (cbrt.f64 (/.f64 -1/4 N)) 1/3)
(fma.f64 (/.f64 1/2 (sqrt.f64 N)) (/.f64 1/2 (sqrt.f64 N)) 1/3)
(-.f64 0 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N))
(-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) 1)
(*.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) (/.f64 -1 N))
(*.f64 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N) -1)
(*.f64 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N) 1)
(*.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N))
(*.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) 2) (neg.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2)) 2) (/.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2)) N))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2)) (/.f64 -1 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) 4) (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 (+.f64 (pow.f64 (log1p.f64 N) 4) (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 (log1p.f64 N) 2))) 1)
(*.f64 1 (pow.f64 (log1p.f64 N) 2))
(*.f64 (log1p.f64 N) (log1p.f64 N))
(*.f64 (pow.f64 (log1p.f64 N) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (*.f64 (cbrt.f64 (log1p.f64 N)) (log1p.f64 N)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (sqrt.f64 (log1p.f64 N)) (*.f64 (sqrt.f64 (log1p.f64 N)) (log1p.f64 N)))
(*.f64 (*.f64 (log1p.f64 N) (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)))
(*.f64 (*.f64 (log1p.f64 N) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (cbrt.f64 (log1p.f64 N)))
(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))
(-.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 (pow.f64 (log.f64 N) 2) 1)
(*.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) (*.f64 (cbrt.f64 (log.f64 N)) (log.f64 N)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4)) (pow.f64 (cbrt.f64 (log.f64 N)) 2))
(*.f64 (sqrt.f64 (log.f64 N)) (*.f64 (sqrt.f64 (log.f64 N)) (log.f64 N)))
(*.f64 (*.f64 (log.f64 N) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)))
(*.f64 (*.f64 (log.f64 N) (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)))
(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 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N -1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N -1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N -1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N -1) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log.f64 (+.f64 N -1)) (log.f64 N))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))
(*.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 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) 3) (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(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 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 3/2)
(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 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) -1)
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.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))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N -1) N) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (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 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))

simplify289.0ms (3%)

Algorithm
1×egg-herbie
Rules
1084×fma-define
900×associate-*r*
572×times-frac
560×distribute-rgt-in
552×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0121312884936459
1309912884934533
Stop Event
1×node limit
Counts
673 → 696
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)))
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(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 (log1p.f64 N) 2))) 1)
(*.f64 1 (pow.f64 (log1p.f64 N) 2))
(*.f64 (log1p.f64 N) (log1p.f64 N))
(*.f64 (pow.f64 (log1p.f64 N) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (*.f64 (cbrt.f64 (log1p.f64 N)) (log1p.f64 N)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (sqrt.f64 (log1p.f64 N)) (*.f64 (sqrt.f64 (log1p.f64 N)) (log1p.f64 N)))
(*.f64 (*.f64 (log1p.f64 N) (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)))
(*.f64 (*.f64 (log1p.f64 N) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (cbrt.f64 (log1p.f64 N)))
(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))
(-.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 (pow.f64 (log.f64 N) 2) 1)
(*.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) (*.f64 (cbrt.f64 (log.f64 N)) (log.f64 N)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4)) (pow.f64 (cbrt.f64 (log.f64 N)) 2))
(*.f64 (sqrt.f64 (log.f64 N)) (*.f64 (sqrt.f64 (log.f64 N)) (log.f64 N)))
(*.f64 (*.f64 (log.f64 N) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)))
(*.f64 (*.f64 (log.f64 N) (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)))
(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 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N -1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N -1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N -1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N -1) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log.f64 (+.f64 N -1)) (log.f64 N))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (/.f64 1 (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))
(*.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 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) 3) (pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6) 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(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 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 3/2)
(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 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) -1)
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.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))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N -1) N) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (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 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
Outputs
(/.f64 -1/4 (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))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 2) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (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 (+.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log1p.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 1) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/6))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (fma.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 3/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) -1)
(-.f64 (log1p.f64 N) (log.f64 N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(fabs.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (/.f64 (+.f64 N -1) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N -1) N) 1)))
(log1p.f64 (+.f64 (/.f64 (+.f64 N -1) N) -1))
(log.f64 (+.f64 (/.f64 (+.f64 N -1) N) 0))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 3)))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (-.f64 (/.f64 (+.f64 N -1) N) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 N -1) N) -1))
(log.f64 (+.f64 (/.f64 (+.f64 N -1) N) 0))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))

eval752.0ms (7.7%)

Compiler

Compiled 25942 to 16613 computations (36% saved)

prune242.0ms (2.5%)

Pruning

29 alts after pruning (27 fresh and 2 done)

PrunedKeptTotal
New1051201071
Fresh3710
Picked415
Done011
Total1058291087
Accuracy
99.7%
Counts
1087 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.6%
(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)))
22.8%
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶23.5%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶90.6%
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) N) 3) 1/3)
22.3%
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3) 3)
95.5%
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) N)) 2)
92.0%
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 3)
25.1%
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 3)
24.5%
(/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N)))
95.7%
(/.f64 (fma.f64 N (+.f64 1/3 (*.f64 N (+.f64 N -1/2))) -1/4) (pow.f64 N 4))
22.2%
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 3) (+.f64 (log1p.f64 N) (log.f64 N)))
22.3%
(/.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 (log1p.f64 N) (log.f64 N)))
23.6%
(/.f64 (/.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)))) (+.f64 (log1p.f64 N) (log.f64 N)))
93.6%
(/.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (log.f64 N)) N) (+.f64 (/.f64 1 N) (*.f64 2 (log.f64 N)))) N) (+.f64 (log1p.f64 N) (log.f64 N)))
95.4%
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
▶95.7%
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))
▶93.7%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
▶96.3%
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (/.f64 (+.f64 -1/9 (/.f64 -1/16 (pow.f64 N 2))) (+.f64 (/.f64 -1/4 N) -1/3)) N)) N)) (neg.f64 N))
96.2%
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
95.5%
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
✓86.0%
(/.f64 1 N)
22.2%
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))))
✓22.3%
(-.f64 (log1p.f64 N) (log.f64 N))
21.9%
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) N))) 1)
23.4%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
25.7%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
25.1%
(log.f64 (+.f64 1 (/.f64 1 N)))
91.6%
(exp.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) (log.f64 N)))
95.4%
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) N) 3))
Compiler

Compiled 926 to 645 computations (30.3% saved)

localize709.0ms (7.3%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 N)
✓99.7%
(sqrt.f64 (log1p.f64 N))
✓23.8%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
99.8%
(+.f64 1/3 (/.f64 -1/4 N))
99.5%
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
✓98.9%
(pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) N) 3)
✓94.1%
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) N) 3) 1/3)
✓100.0%
(*.f64 N (-.f64 N 1/2))
✓99.9%
(+.f64 1/3 (*.f64 N (-.f64 N 1/2)))
✓99.6%
(*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2))))
✓99.4%
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))
✓100.0%
(-.f64 1 (/.f64 1/2 N))
✓99.9%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓99.7%
(+.f64 (/.f64 -1/4 N) -1/3)
✓99.6%
(/.f64 (+.f64 -1/9 (/.f64 -1/16 (pow.f64 N 2))) (+.f64 (/.f64 -1/4 N) -1/3))
✓99.6%
(/.f64 -1/16 (pow.f64 N 2))
✓99.5%
(/.f64 (/.f64 (+.f64 -1/9 (/.f64 -1/16 (pow.f64 N 2))) (+.f64 (/.f64 -1/4 N) -1/3)) N)
Compiler

Compiled 346 to 254 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 464.0ms
Operation ival-div, time spent: 141.0ms, 30.0% of total-time
Operation ival-log, time spent: 136.0ms, 29.0% of total-time
Operation ival-add, time spent: 64.0ms, 14.0% of total-time
Operation ival-pow, time spent: 46.0ms, 10.0% of total-time
Operation ival-mult, time spent: 19.0ms, 4.0% of total-time
Operation composed, time spent: 18.0ms, 4.0% of total-time
Operation ival-sub, time spent: 18.0ms, 4.0% of total-time
Operation const, time spent: 15.0ms, 3.0% of total-time
Operation ival-sqrt, time spent: 3.0ms, 1.0% of total-time
Operation ival-neg, time spent: 3.0ms, 1.0% of total-time

series33.0ms (0.3%)

Counts
14 → 148
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 (+.f64 -1/9 (/.f64 -1/16 (pow.f64 N 2))) (+.f64 (/.f64 -1/4 N) -1/3)) N)>
#<alt (/.f64 -1/16 (pow.f64 N 2))>
#<alt (/.f64 (+.f64 -1/9 (/.f64 -1/16 (pow.f64 N 2))) (+.f64 (/.f64 -1/4 N) -1/3))>
#<alt (+.f64 (/.f64 -1/4 N) -1/3)>
#<alt (/.f64 (-.f64 1 (/.f64 1/2 N)) N)>
#<alt (-.f64 1 (/.f64 1/2 N))>
#<alt (/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))>
#<alt (*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2))))>
#<alt (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))>
#<alt (*.f64 N (-.f64 N 1/2))>
#<alt (pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) N) 3) 1/3)>
#<alt (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) 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))>
Outputs
#<alt (/.f64 1/4 (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/4 (*.f64 -1/3 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/4 (*.f64 N (-.f64 (*.f64 8/9 N) 1/3))) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/4 (*.f64 N (-.f64 (*.f64 N (+.f64 8/9 (*.f64 -32/27 N))) 1/3))) (pow.f64 N 2))>
#<alt (/.f64 1/3 N)>
#<alt (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (+.f64 (*.f64 1/4 (/.f64 1 N)) (*.f64 9/32 (/.f64 1 (pow.f64 N 3))))) 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 (/.f64 (-.f64 (*.f64 3/8 (/.f64 1 N)) 1/4) N)) 1/3) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 9/32 (/.f64 1 N)) 3/8) N)) 1/4) N)) 1/3) N))>
#<alt (/.f64 1/4 N)>
#<alt (/.f64 (+.f64 1/4 (*.f64 -1/3 N)) N)>
#<alt (/.f64 (+.f64 1/4 (*.f64 N (-.f64 (*.f64 8/9 N) 1/3))) N)>
#<alt (/.f64 (+.f64 1/4 (*.f64 N (-.f64 (*.f64 N (+.f64 8/9 (*.f64 -32/27 N))) 1/3))) N)>
#<alt 1/3>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (+.f64 (*.f64 1/4 (/.f64 1 N)) (*.f64 9/32 (/.f64 1 (pow.f64 N 3)))))>
#<alt 1/3>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<alt (+.f64 1/3 (*.f64 -1 (/.f64 (-.f64 1/4 (*.f64 3/8 (/.f64 1 N))) N)))>
#<alt (+.f64 1/3 (*.f64 -1 (/.f64 (+.f64 1/4 (*.f64 -1 (/.f64 (-.f64 3/8 (*.f64 9/32 (/.f64 1 N))) N))) 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 (+.f64 1/3 (*.f64 1/4 (/.f64 1 N))))>
#<alt (*.f64 -1 (+.f64 1/3 (*.f64 1/4 (/.f64 1 N))))>
#<alt (*.f64 -1 (+.f64 1/3 (*.f64 1/4 (/.f64 1 N))))>
#<alt -1/3>
#<alt (*.f64 -1 (+.f64 1/3 (*.f64 1/4 (/.f64 1 N))))>
#<alt (*.f64 -1 (+.f64 1/3 (*.f64 1/4 (/.f64 1 N))))>
#<alt (*.f64 -1 (+.f64 1/3 (*.f64 1/4 (/.f64 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 -1/4 (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 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 N)>
#<alt (*.f64 N (+.f64 1/3 (*.f64 -1/2 N)))>
#<alt (pow.f64 N 3)>
#<alt (*.f64 (pow.f64 N 3) (-.f64 1 (*.f64 1/2 (/.f64 1 N))))>
#<alt (*.f64 (pow.f64 N 3) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))))>
#<alt (*.f64 (pow.f64 N 3) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))))>
#<alt (pow.f64 N 3)>
#<alt (*.f64 -1 (*.f64 (pow.f64 N 3) (-.f64 (*.f64 1/2 (/.f64 1 N)) 1)))>
#<alt (*.f64 -1 (*.f64 (pow.f64 N 3) (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1)))>
#<alt (*.f64 -1 (*.f64 (pow.f64 N 3) (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1)))>
#<alt 1/3>
#<alt (+.f64 1/3 (*.f64 -1/2 N))>
#<alt (pow.f64 N 2)>
#<alt (*.f64 (pow.f64 N 2) (-.f64 1 (*.f64 1/2 (/.f64 1 N))))>
#<alt (*.f64 (pow.f64 N 2) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))))>
#<alt (*.f64 (pow.f64 N 2) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))))>
#<alt (pow.f64 N 2)>
#<alt (*.f64 (pow.f64 N 2) (-.f64 1 (*.f64 1/2 (/.f64 1 N))))>
#<alt (*.f64 (pow.f64 N 2) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))))>
#<alt (*.f64 (pow.f64 N 2) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))))>
#<alt (*.f64 -1/2 N)>
#<alt (pow.f64 N 2)>
#<alt (*.f64 (pow.f64 N 2) (-.f64 1 (*.f64 1/2 (/.f64 1 N))))>
#<alt (*.f64 (pow.f64 N 2) (-.f64 1 (*.f64 1/2 (/.f64 1 N))))>
#<alt (*.f64 (pow.f64 N 2) (-.f64 1 (*.f64 1/2 (/.f64 1 N))))>
#<alt (pow.f64 N 2)>
#<alt (*.f64 (pow.f64 N 2) (-.f64 1 (*.f64 1/2 (/.f64 1 N))))>
#<alt (*.f64 (pow.f64 N 2) (-.f64 1 (*.f64 1/2 (/.f64 1 N))))>
#<alt (*.f64 (pow.f64 N 2) (-.f64 1 (*.f64 1/2 (/.f64 1 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 (/.f64 (cbrt.f64 -1) N))>
#<alt (*.f64 -1 (/.f64 (+.f64 (cbrt.f64 -1) (*.f64 -1/2 (/.f64 (cbrt.f64 -1) N))) N))>
#<alt (*.f64 -1 (/.f64 (+.f64 (cbrt.f64 -1) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (/.f64 (cbrt.f64 -1) N)) (*.f64 1/2 (cbrt.f64 -1))) N))) N))>
#<alt (*.f64 -1 (/.f64 (+.f64 (cbrt.f64 -1) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (cbrt.f64 -1) N)) (*.f64 1/3 (cbrt.f64 -1))) N)) (*.f64 1/2 (cbrt.f64 -1))) N))) N))>
#<alt (/.f64 -1/64 (pow.f64 N 12))>
#<alt (/.f64 (-.f64 (*.f64 1/16 N) 1/64) (pow.f64 N 12))>
#<alt (/.f64 (-.f64 (*.f64 N (+.f64 1/16 (*.f64 -17/96 N))) 1/64) (pow.f64 N 12))>
#<alt (/.f64 (-.f64 (*.f64 N (+.f64 1/16 (*.f64 N (-.f64 (*.f64 205/432 N) 17/96)))) 1/64) (pow.f64 N 12))>
#<alt (/.f64 1 (pow.f64 N 3))>
#<alt (/.f64 (-.f64 1 (*.f64 3/2 (/.f64 1 N))) (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 7/4 (pow.f64 N 2))) (*.f64 3/2 (/.f64 1 N))) (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 7/4 (pow.f64 N 2))) (+.f64 (*.f64 3/2 (/.f64 1 N)) (*.f64 15/8 (/.f64 1 (pow.f64 N 3))))) (pow.f64 N 3))>
#<alt (/.f64 1 (pow.f64 N 3))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 3/2 (/.f64 1 N)) 1) (pow.f64 N 3)))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 7/4 (/.f64 1 N)) 3/2) N)) 1) (pow.f64 N 3)))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 15/8 (/.f64 1 N)) 7/4) N)) 3/2) N)) 1) (pow.f64 N 3)))>
#<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)))>
Calls

42 calls:

TimeVariablePointExpression
8.0ms
N
@-inf
(/ (/ (+ -1/9 (/ -1/16 (pow N 2))) (+ (/ -1/4 N) -1/3)) N)
4.0ms
N
@0
(sqrt (log (+ 1 N)))
1.0ms
N
@inf
(sqrt (log (+ 1 N)))
1.0ms
N
@-inf
(sqrt (log (+ 1 N)))
1.0ms
N
@-inf
(pow (pow (/ (+ 1 (/ (+ (/ (+ 1/3 (/ -1/4 N)) N) -1/2) N)) N) 3) 1/3)

rewrite159.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
363×log1p-expm1-u
363×expm1-log1p-u
352×pow1
349×add-exp-log
348×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049450
1810430
Stop Event
1×node limit
Counts
14 → 254
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 -1/9 (/.f64 -1/16 (pow.f64 N 2))) (+.f64 (/.f64 -1/4 N) -1/3)) N)
(/.f64 -1/16 (pow.f64 N 2))
(/.f64 (+.f64 -1/9 (/.f64 -1/16 (pow.f64 N 2))) (+.f64 (/.f64 -1/4 N) -1/3))
(+.f64 (/.f64 -1/4 N) -1/3)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 1 (/.f64 1/2 N))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))
(*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2))))
(+.f64 1/3 (*.f64 N (-.f64 N 1/2)))
(*.f64 N (-.f64 N 1/2))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) N) 3) 1/3)
(pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) N) 3)
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(sqrt.f64 (log1p.f64 N))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3))))) 1)
(*.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3)) (/.f64 1 N))
(*.f64 1 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3)))) 2) (cbrt.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3)))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3)))) (sqrt.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3)))))
(pow.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3))) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3)))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3)))) 2)
(pow.f64 (/.f64 N (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3))) -1)
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3)) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/16 (pow.f64 N -2)))) 1)
(*.f64 -1/16 (pow.f64 N -2))
(*.f64 1 (*.f64 -1/16 (pow.f64 N -2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/16 (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 -1/16 (pow.f64 N -2))))
(*.f64 (/.f64 (sqrt.f64 -1/16) N) (/.f64 (sqrt.f64 -1/16) N))
(pow.f64 (*.f64 -1/16 (pow.f64 N -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/16 (pow.f64 N -2))) 3)
(pow.f64 (/.f64 -1/4096 (pow.f64 N 6)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 -1/16) N) 2)
(pow.f64 (/.f64 (pow.f64 N 2) -1/16) -1)
(log.f64 (pow.f64 (exp.f64 -1/16) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/16 (pow.f64 N -2)))))
(cbrt.f64 (/.f64 -1/4096 (pow.f64 N 6)))
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(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (log.f64 N)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (log.f64 N)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3))) 1)
(*.f64 1 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3))
(*.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 2))
(*.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 2) (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N))
(*.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) 3) (pow.f64 (/.f64 1 N) 3))
(*.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3/2) (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)) 2) 3) (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)) 3) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)) 3))
(/.f64 1 (pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))) 3))
(/.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) 3) (pow.f64 N 3))
(/.f64 (pow.f64 (neg.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))) 3) (pow.f64 (neg.f64 N) 3))
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3)))
(exp.f64 (*.f64 3 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (log.f64 N))))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (log.f64 N))) 1))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))) 1)
(*.f64 1 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) 2) (cbrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) (sqrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(pow.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) 2)
(log.f64 (*.f64 (+.f64 1 N) (/.f64 1 N)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (neg.f64 (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)
(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))

simplify214.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
638×exp-prod
608×fma-neg
542×sub-neg
504×associate-*r*
488×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
084814581
1195113622
2585713422
Stop Event
1×node limit
Counts
402 → 492
Calls
Call 1
Inputs
(/.f64 1/4 (pow.f64 N 2))
(/.f64 (+.f64 1/4 (*.f64 -1/3 N)) (pow.f64 N 2))
(/.f64 (+.f64 1/4 (*.f64 N (-.f64 (*.f64 8/9 N) 1/3))) (pow.f64 N 2))
(/.f64 (+.f64 1/4 (*.f64 N (-.f64 (*.f64 N (+.f64 8/9 (*.f64 -32/27 N))) 1/3))) (pow.f64 N 2))
(/.f64 1/3 N)
(/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (+.f64 (*.f64 1/4 (/.f64 1 N)) (*.f64 9/32 (/.f64 1 (pow.f64 N 3))))) N)
(/.f64 1/3 N)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 3/8 (/.f64 1 N)) 1/4) N)) 1/3) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 9/32 (/.f64 1 N)) 3/8) N)) 1/4) N)) 1/3) N))
(/.f64 1/4 N)
(/.f64 (+.f64 1/4 (*.f64 -1/3 N)) N)
(/.f64 (+.f64 1/4 (*.f64 N (-.f64 (*.f64 8/9 N) 1/3))) N)
(/.f64 (+.f64 1/4 (*.f64 N (-.f64 (*.f64 N (+.f64 8/9 (*.f64 -32/27 N))) 1/3))) N)
1/3
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N)))
(-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (+.f64 (*.f64 1/4 (/.f64 1 N)) (*.f64 9/32 (/.f64 1 (pow.f64 N 3)))))
1/3
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(+.f64 1/3 (*.f64 -1 (/.f64 (-.f64 1/4 (*.f64 3/8 (/.f64 1 N))) N)))
(+.f64 1/3 (*.f64 -1 (/.f64 (+.f64 1/4 (*.f64 -1 (/.f64 (-.f64 3/8 (*.f64 9/32 (/.f64 1 N))) N))) 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 (+.f64 1/3 (*.f64 1/4 (/.f64 1 N))))
(*.f64 -1 (+.f64 1/3 (*.f64 1/4 (/.f64 1 N))))
(*.f64 -1 (+.f64 1/3 (*.f64 1/4 (/.f64 1 N))))
-1/3
(*.f64 -1 (+.f64 1/3 (*.f64 1/4 (/.f64 1 N))))
(*.f64 -1 (+.f64 1/3 (*.f64 1/4 (/.f64 1 N))))
(*.f64 -1 (+.f64 1/3 (*.f64 1/4 (/.f64 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 -1/4 (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 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 N)
(*.f64 N (+.f64 1/3 (*.f64 -1/2 N)))
(pow.f64 N 3)
(*.f64 (pow.f64 N 3) (-.f64 1 (*.f64 1/2 (/.f64 1 N))))
(*.f64 (pow.f64 N 3) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))))
(*.f64 (pow.f64 N 3) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))))
(pow.f64 N 3)
(*.f64 -1 (*.f64 (pow.f64 N 3) (-.f64 (*.f64 1/2 (/.f64 1 N)) 1)))
(*.f64 -1 (*.f64 (pow.f64 N 3) (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1)))
(*.f64 -1 (*.f64 (pow.f64 N 3) (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1)))
1/3
(+.f64 1/3 (*.f64 -1/2 N))
(pow.f64 N 2)
(*.f64 (pow.f64 N 2) (-.f64 1 (*.f64 1/2 (/.f64 1 N))))
(*.f64 (pow.f64 N 2) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))))
(*.f64 (pow.f64 N 2) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))))
(pow.f64 N 2)
(*.f64 (pow.f64 N 2) (-.f64 1 (*.f64 1/2 (/.f64 1 N))))
(*.f64 (pow.f64 N 2) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))))
(*.f64 (pow.f64 N 2) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))))
(*.f64 -1/2 N)
(pow.f64 N 2)
(*.f64 (pow.f64 N 2) (-.f64 1 (*.f64 1/2 (/.f64 1 N))))
(*.f64 (pow.f64 N 2) (-.f64 1 (*.f64 1/2 (/.f64 1 N))))
(*.f64 (pow.f64 N 2) (-.f64 1 (*.f64 1/2 (/.f64 1 N))))
(pow.f64 N 2)
(*.f64 (pow.f64 N 2) (-.f64 1 (*.f64 1/2 (/.f64 1 N))))
(*.f64 (pow.f64 N 2) (-.f64 1 (*.f64 1/2 (/.f64 1 N))))
(*.f64 (pow.f64 N 2) (-.f64 1 (*.f64 1/2 (/.f64 1 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 (/.f64 (cbrt.f64 -1) N))
(*.f64 -1 (/.f64 (+.f64 (cbrt.f64 -1) (*.f64 -1/2 (/.f64 (cbrt.f64 -1) N))) N))
(*.f64 -1 (/.f64 (+.f64 (cbrt.f64 -1) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (/.f64 (cbrt.f64 -1) N)) (*.f64 1/2 (cbrt.f64 -1))) N))) N))
(*.f64 -1 (/.f64 (+.f64 (cbrt.f64 -1) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (cbrt.f64 -1) N)) (*.f64 1/3 (cbrt.f64 -1))) N)) (*.f64 1/2 (cbrt.f64 -1))) N))) N))
(/.f64 -1/64 (pow.f64 N 12))
(/.f64 (-.f64 (*.f64 1/16 N) 1/64) (pow.f64 N 12))
(/.f64 (-.f64 (*.f64 N (+.f64 1/16 (*.f64 -17/96 N))) 1/64) (pow.f64 N 12))
(/.f64 (-.f64 (*.f64 N (+.f64 1/16 (*.f64 N (-.f64 (*.f64 205/432 N) 17/96)))) 1/64) (pow.f64 N 12))
(/.f64 1 (pow.f64 N 3))
(/.f64 (-.f64 1 (*.f64 3/2 (/.f64 1 N))) (pow.f64 N 3))
(/.f64 (-.f64 (+.f64 1 (/.f64 7/4 (pow.f64 N 2))) (*.f64 3/2 (/.f64 1 N))) (pow.f64 N 3))
(/.f64 (-.f64 (+.f64 1 (/.f64 7/4 (pow.f64 N 2))) (+.f64 (*.f64 3/2 (/.f64 1 N)) (*.f64 15/8 (/.f64 1 (pow.f64 N 3))))) (pow.f64 N 3))
(/.f64 1 (pow.f64 N 3))
(*.f64 -1 (/.f64 (-.f64 (*.f64 3/2 (/.f64 1 N)) 1) (pow.f64 N 3)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 7/4 (/.f64 1 N)) 3/2) N)) 1) (pow.f64 N 3)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 15/8 (/.f64 1 N)) 7/4) N)) 3/2) N)) 1) (pow.f64 N 3)))
(*.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))))))))
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(+.f64 (*.f64 1/3 N) (*.f64 (*.f64 N (+.f64 N -1/2)) N))
(-.f64 (exp.f64 (log1p.f64 (*.f64 N (fma.f64 N (+.f64 N -1/2) 1/3)))) 1)
(pow.f64 (*.f64 N (fma.f64 N (+.f64 N -1/2) 1/3)) 1)
(pow.f64 (cbrt.f64 (*.f64 N (fma.f64 N (+.f64 N -1/2) 1/3))) 3)
(pow.f64 (pow.f64 (*.f64 N (fma.f64 N (+.f64 N -1/2) 1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 N (fma.f64 N (+.f64 N -1/2) 1/3))) 2)
(log.f64 (pow.f64 (exp.f64 (fma.f64 N (+.f64 N -1/2) 1/3)) N))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (fma.f64 N (+.f64 N -1/2) 1/3)))))
(cbrt.f64 (pow.f64 (*.f64 N (fma.f64 N (+.f64 N -1/2) 1/3)) 3))
(expm1.f64 (log1p.f64 (*.f64 N (fma.f64 N (+.f64 N -1/2) 1/3))))
(log1p.f64 (expm1.f64 (*.f64 N (fma.f64 N (+.f64 N -1/2) 1/3))))
(exp.f64 (log.f64 (*.f64 N (fma.f64 N (+.f64 N -1/2) 1/3))))
(exp.f64 (*.f64 (log.f64 (*.f64 N (fma.f64 N (+.f64 N -1/2) 1/3))) 1))
(fma.f64 N 1/3 (*.f64 N (*.f64 N (+.f64 N -1/2))))
(fma.f64 1/3 N (*.f64 (*.f64 N (+.f64 N -1/2)) N))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 N -1/2) 1/3))) 1)
(*.f64 1 (fma.f64 N (+.f64 N -1/2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N -1/2) 1/3)) 2) (cbrt.f64 (fma.f64 N (+.f64 N -1/2) 1/3)))
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 N -1/2) 1/3)) (sqrt.f64 (fma.f64 N (+.f64 N -1/2) 1/3)))
(/.f64 (-.f64 1/9 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2)) (-.f64 1/3 (*.f64 N (+.f64 N -1/2))))
(/.f64 (+.f64 1/27 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3)) (+.f64 1/9 (-.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2) (*.f64 1/3 (*.f64 N (+.f64 N -1/2))))))
(pow.f64 (fma.f64 N (+.f64 N -1/2) 1/3) 1)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N -1/2) 1/3)) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N -1/2) 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N -1/2) 1/3)) 2)
(log.f64 (exp.f64 (fma.f64 N (+.f64 N -1/2) 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N (+.f64 N -1/2) 1/3))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N -1/2) 1/3) 3))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 N -1/2) 1/3)))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 N -1/2) 1/3)))
(exp.f64 (log.f64 (fma.f64 N (+.f64 N -1/2) 1/3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 N (+.f64 N -1/2) 1/3)) 1))
(fma.f64 N (+.f64 N -1/2) 1/3)
(fma.f64 1 (*.f64 N (+.f64 N -1/2)) 1/3)
(fma.f64 (+.f64 N -1/2) N 1/3)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) 2) (cbrt.f64 (*.f64 N (+.f64 N -1/2))) 1/3)
(fma.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) (sqrt.f64 (*.f64 N (+.f64 N -1/2))) 1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 N (+.f64 N -1/2)))) 1)
(pow.f64 (*.f64 N (+.f64 N -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) 2)
(log.f64 (pow.f64 (exp.f64 (+.f64 N -1/2)) N))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (+.f64 N -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 N (+.f64 N -1/2))))
(log1p.f64 (expm1.f64 (*.f64 N (+.f64 N -1/2))))
(exp.f64 (log.f64 (*.f64 N (+.f64 N -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N -1/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N))) 1)
(*.f64 1 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N))
(*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (/.f64 1 N))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)) (pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 2) 1/3) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3/2)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3/2)))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))))
(/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)
(/.f64 (neg.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))) (neg.f64 N))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (log.f64 N)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (log.f64 N)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3))) 1)
(*.f64 1 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3))
(*.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 2))
(*.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 2) (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N))
(*.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) 3) (pow.f64 (/.f64 1 N) 3))
(*.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3/2) (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)) 2) 3) (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)) 3) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)) 3))
(/.f64 1 (pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))) 3))
(/.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) 3) (pow.f64 N 3))
(/.f64 (pow.f64 (neg.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))) 3) (pow.f64 (neg.f64 N) 3))
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3)))
(exp.f64 (*.f64 3 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (log.f64 N))))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (log.f64 N))) 1))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))) 1)
(*.f64 1 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) 2) (cbrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) (sqrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(pow.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) 2)
(log.f64 (*.f64 (+.f64 1 N) (/.f64 1 N)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (neg.f64 (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)
(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))
Outputs
(/.f64 1/4 (pow.f64 N 2))
(/.f64 (+.f64 1/4 (*.f64 -1/3 N)) (pow.f64 N 2))
(/.f64 (+.f64 1/4 (*.f64 N -1/3)) (pow.f64 N 2))
(/.f64 (fma.f64 N -1/3 1/4) (pow.f64 N 2))
(/.f64 (+.f64 1/4 (*.f64 N (-.f64 (*.f64 8/9 N) 1/3))) (pow.f64 N 2))
(/.f64 (+.f64 1/4 (*.f64 N (fma.f64 8/9 N -1/3))) (pow.f64 N 2))
(/.f64 (fma.f64 N (fma.f64 N 8/9 -1/3) 1/4) (pow.f64 N 2))
(/.f64 (+.f64 1/4 (*.f64 N (-.f64 (*.f64 N (+.f64 8/9 (*.f64 -32/27 N))) 1/3))) (pow.f64 N 2))
(/.f64 (+.f64 1/4 (*.f64 N (fma.f64 N (+.f64 8/9 (*.f64 N -32/27)) -1/3))) (pow.f64 N 2))
(/.f64 (fma.f64 N (fma.f64 N (fma.f64 N -32/27 8/9) -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 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)
(/.f64 (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (+.f64 (*.f64 1/4 (/.f64 1 N)) (*.f64 9/32 (/.f64 1 (pow.f64 N 3))))) N)
(/.f64 (+.f64 1/3 (-.f64 (/.f64 3/8 (pow.f64 N 2)) (+.f64 (/.f64 1/4 N) (/.f64 9/32 (pow.f64 N 3))))) N)
(/.f64 (+.f64 1/3 (-.f64 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N) (/.f64 9/32 (pow.f64 N 3)))) N)
(/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -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 (/.f64 (-.f64 (*.f64 3/8 (/.f64 1 N)) 1/4) N)) 1/3) N))
(/.f64 (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 9/32 (/.f64 1 N)) 3/8) N)) 1/4) N)) 1/3) N))
(/.f64 (+.f64 1/3 (-.f64 (/.f64 3/8 (pow.f64 N 2)) (+.f64 (/.f64 1/4 N) (/.f64 9/32 (pow.f64 N 3))))) N)
(/.f64 (+.f64 1/3 (-.f64 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N) (/.f64 9/32 (pow.f64 N 3)))) N)
(/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)
(/.f64 1/4 N)
(/.f64 (+.f64 1/4 (*.f64 -1/3 N)) N)
(/.f64 (+.f64 1/4 (*.f64 N -1/3)) N)
(/.f64 (fma.f64 N -1/3 1/4) N)
(/.f64 (+.f64 1/4 (*.f64 N (-.f64 (*.f64 8/9 N) 1/3))) N)
(/.f64 (+.f64 1/4 (*.f64 N (fma.f64 8/9 N -1/3))) N)
(/.f64 (fma.f64 N (fma.f64 N 8/9 -1/3) 1/4) N)
(/.f64 (+.f64 1/4 (*.f64 N (-.f64 (*.f64 N (+.f64 8/9 (*.f64 -32/27 N))) 1/3))) N)
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(*.f64 1 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(*.f64 (-.f64 1 (/.f64 1/2 N)) (/.f64 1 N))
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(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
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(pow.f64 (/.f64 N (-.f64 1 (/.f64 1/2 N))) -1)
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))))
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(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))))
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(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) N) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N) 3)))
(pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) 3)
(pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) N) 3)
(exp.f64 (*.f64 3 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (log.f64 N))))
(pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) 3)
(pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) N) 3)
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (log.f64 N))) 1))
(pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) 3)
(pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) N) 3)
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))) 1)
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 1 (/.f64 1 N)))))
(*.f64 1 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) 2) (cbrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) (sqrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(pow.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) 3)
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) 3) 1/3)
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) 2)
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log.f64 (*.f64 (+.f64 1 N) (/.f64 1 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 1 (/.f64 1 N)))))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(exp.f64 (log.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N)))) 1)
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 1 (sqrt.f64 (log1p.f64 N)))
(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))
(sqrt.f64 (log1p.f64 N))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 N)))
(sqrt.f64 (log1p.f64 N))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (fabs.f64 (cbrt.f64 (log1p.f64 N))) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (fabs.f64 (cbrt.f64 (log1p.f64 N))) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 1/2)
(sqrt.f64 (log1p.f64 N))
(pow.f64 (sqrt.f64 (log1p.f64 N)) 1)
(sqrt.f64 (log1p.f64 N))
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3)
(sqrt.f64 (log1p.f64 N))
(pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(pow.f64 (pow.f64 (log1p.f64 N) 1/4) 2)
(sqrt.f64 (log1p.f64 N))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 N)))))
(sqrt.f64 (log1p.f64 N))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 N))))
(sqrt.f64 (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/2))
(sqrt.f64 (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 1))
(sqrt.f64 (log1p.f64 N))

eval476.0ms (4.9%)

Compiler

Compiled 17440 to 12055 computations (30.9% saved)

prune151.0ms (1.6%)

Pruning

32 alts after pruning (26 fresh and 6 done)

PrunedKeptTotal
New79514809
Fresh101222
Picked145
Done022
Total80632838
Accuracy
99.8%
Counts
838 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶22.8%
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
23.6%
(fma.f64 (sqrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) 1)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
✓23.5%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
23.2%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N)))) (neg.f64 (log.f64 N)))
✓90.6%
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) N) 3) 1/3)
22.3%
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3) 3)
25.1%
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 3)
24.5%
(/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N)))
95.7%
(/.f64 (fma.f64 N (+.f64 1/3 (*.f64 N (+.f64 N -1/2))) -1/4) (pow.f64 N 4))
22.2%
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 3) (+.f64 (log1p.f64 N) (log.f64 N)))
22.3%
(/.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 (log1p.f64 N) (log.f64 N)))
23.6%
(/.f64 (/.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)))) (+.f64 (log1p.f64 N) (log.f64 N)))
85.6%
(/.f64 (-.f64 (pow.f64 N 3) 1/4) (pow.f64 N 4))
✓95.7%
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))
95.5%
(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N)
✓93.7%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
93.8%
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (/.f64 1/4 N) N)) N)) (neg.f64 N))
96.3%
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)) N)) (neg.f64 N))
▶96.2%
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)) N)) (neg.f64 N))
93.6%
(/.f64 (+.f64 (+.f64 2 (/.f64 -1/2 N)) -1) N)
96.2%
(/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)
▶96.3%
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))))
✓86.0%
(/.f64 1 N)
22.2%
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))))
▶93.7%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓22.3%
(-.f64 (log1p.f64 N) (log.f64 N))
▶21.9%
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N))) 1)
23.4%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
96.2%
(*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (/.f64 1 N))
25.7%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
25.1%
(log.f64 (+.f64 1 (/.f64 1 N)))
91.6%
(exp.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (log.f64 N)))
Compiler

Compiled 903 to 643 computations (28.8% saved)

localize754.0ms (7.8%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 N)
✓99.3%
(cbrt.f64 (log1p.f64 N))
✓99.3%
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
✓24.3%
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
✓99.8%
(log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N))
✓99.8%
(+.f64 (/.f64 -1/4 N) 1/3)
✓99.5%
(/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)
✓25.0%
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N))) 1)
✓99.9%
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)) N)
✓99.9%
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)) N)) (neg.f64 N))
✓99.8%
(+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N))
✓99.5%
(/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)
✓99.8%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓99.6%
(/.f64 (/.f64 1/2 N) N)
✓99.9%
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))))
✓99.9%
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)
✓99.8%
(+.f64 (/.f64 -1/4 N) 1/3)
✓99.5%
(/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)
Compiler

Compiled 367 to 262 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 489.0ms
Operation ival-div, time spent: 272.0ms, 56.0% of total-time
Operation ival-add, time spent: 87.0ms, 18.0% of total-time
Operation composed, time spent: 50.0ms, 10.0% of total-time
Operation ival-log, time spent: 42.0ms, 9.0% of total-time
Operation const, time spent: 15.0ms, 3.0% of total-time
Operation ival-sub, time spent: 6.0ms, 1.0% of total-time
Operation ival-exp, time spent: 5.0ms, 1.0% of total-time
Operation ival-pow, time spent: 3.0ms, 1.0% of total-time
Operation ival-neg, time spent: 3.0ms, 1.0% of total-time
Operation ival-mult, time spent: 2.0ms, 0.0% of total-time
Operation ival-cbrt, time spent: 2.0ms, 0.0% of total-time

series32.0ms (0.3%)

Counts
17 → 204
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)>
#<alt (+.f64 (/.f64 -1/4 N) 1/3)>
#<alt (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)>
#<alt (/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))))>
#<alt (/.f64 (/.f64 1/2 N) N)>
#<alt (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))>
#<alt (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)>
#<alt (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N))>
#<alt (/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)) N)) (neg.f64 N))>
#<alt (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)) N)>
#<alt (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N))) 1)>
#<alt (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)>
#<alt (+.f64 (/.f64 -1/4 N) 1/3)>
#<alt (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N))>
#<alt (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))>
#<alt (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)>
#<alt (cbrt.f64 (log1p.f64 N))>
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 1/2 (pow.f64 N 2))>
#<alt (/.f64 1/2 (pow.f64 N 2))>
#<alt (/.f64 1/2 (pow.f64 N 2))>
#<alt (/.f64 1/2 (pow.f64 N 2))>
#<alt (/.f64 1/2 (pow.f64 N 2))>
#<alt (/.f64 1/2 (pow.f64 N 2))>
#<alt (/.f64 1/2 (pow.f64 N 2))>
#<alt (/.f64 1/2 (pow.f64 N 2))>
#<alt (/.f64 1/2 (pow.f64 N 2))>
#<alt (/.f64 1/2 (pow.f64 N 2))>
#<alt (/.f64 1/2 (pow.f64 N 2))>
#<alt (/.f64 1/2 (pow.f64 N 2))>
#<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 3/8 (pow.f64 N 3))>
#<alt (/.f64 (+.f64 3/8 (*.f64 -1/4 N)) (pow.f64 N 3))>
#<alt (/.f64 (+.f64 3/8 (*.f64 N (-.f64 (*.f64 1/3 N) 1/4))) (pow.f64 N 3))>
#<alt (/.f64 (+.f64 3/8 (*.f64 N (-.f64 (*.f64 1/3 N) 1/4))) (pow.f64 N 3))>
#<alt (/.f64 1/3 N)>
#<alt (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (*.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 (/.f64 (-.f64 (*.f64 3/8 (/.f64 1 N)) 1/4) N)) 1/3) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 3/8 (/.f64 1 N)) 1/4) N)) 1/3) N))>
#<alt (/.f64 3/8 (pow.f64 N 2))>
#<alt (/.f64 (+.f64 3/8 (*.f64 -1/4 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 3/8 (*.f64 N (-.f64 (*.f64 1/3 N) 1/4))) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 3/8 (*.f64 N (-.f64 (*.f64 1/3 N) 1/4))) (pow.f64 N 2))>
#<alt 1/3>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (*.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 (/.f64 (-.f64 1/4 (*.f64 3/8 (/.f64 1 N))) N)))>
#<alt (+.f64 1/3 (*.f64 -1 (/.f64 (-.f64 1/4 (*.f64 3/8 (/.f64 1 N))) N)))>
#<alt (/.f64 3/8 (pow.f64 N 5))>
#<alt (/.f64 (+.f64 3/8 (*.f64 -1/4 N)) (pow.f64 N 5))>
#<alt (/.f64 (+.f64 3/8 (*.f64 N (-.f64 (*.f64 1/3 N) 1/4))) (pow.f64 N 5))>
#<alt (/.f64 (+.f64 3/8 (*.f64 N (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4))) (pow.f64 N 5))>
#<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 3/8 (pow.f64 N 4))>
#<alt (/.f64 (+.f64 3/8 (*.f64 -1/4 N)) (pow.f64 N 4))>
#<alt (/.f64 (+.f64 3/8 (*.f64 N (-.f64 (*.f64 1/3 N) 1/4))) (pow.f64 N 4))>
#<alt (/.f64 (+.f64 3/8 (*.f64 N (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4))) (pow.f64 N 4))>
#<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 (*.f64 1/3 (/.f64 1 N)) (*.f64 3/8 (/.f64 1 (pow.f64 N 3)))) (+.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 (/.f64 (-.f64 1/4 (*.f64 3/8 (/.f64 1 N))) 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 -1/4 (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 (log.f64 -1/4) (*.f64 -4 (log.f64 N)))>
#<alt (+.f64 (log.f64 -1/4) (+.f64 (*.f64 -4 (log.f64 N)) (*.f64 -4/3 N)))>
#<alt (+.f64 (log.f64 -1/4) (+.f64 (*.f64 -4 (log.f64 N)) (*.f64 N (-.f64 (*.f64 10/9 N) 4/3))))>
#<alt (+.f64 (log.f64 -1/4) (+.f64 (*.f64 -4 (log.f64 N)) (*.f64 N (-.f64 (*.f64 N (+.f64 10/9 (*.f64 -172/81 N))) 4/3))))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (/.f64 1 N)) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 7/6 (pow.f64 N 2))) (/.f64 1 N)) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 7/6 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (*.f64 35/24 (/.f64 1 (pow.f64 N 3))))) N)>
#<alt (/.f64 1 N)>
#<alt (*.f64 -1 (/.f64 (-.f64 (/.f64 1 N) 1) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 7/6 (/.f64 1 N)) 1) N)) 1) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 35/24 (/.f64 1 N)) 7/6) N)) 1) N)) 1) 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 (cbrt.f64 (pow.f64 N 2))>
#<alt (+.f64 (cbrt.f64 (pow.f64 N 2)) (*.f64 -1/3 (cbrt.f64 (pow.f64 N 5))))>
#<alt (+.f64 (cbrt.f64 (pow.f64 N 2)) (*.f64 (pow.f64 N 3) (+.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 N 4)))) (*.f64 11/36 (cbrt.f64 (/.f64 1 N))))))>
#<alt (+.f64 (cbrt.f64 (pow.f64 N 2)) (*.f64 (pow.f64 N 3) (+.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 N 4)))) (*.f64 N (+.f64 (*.f64 -5/18 (cbrt.f64 (/.f64 1 N))) (*.f64 11/36 (cbrt.f64 (/.f64 1 (pow.f64 N 4)))))))))>
#<alt (cbrt.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2))>
#<alt (+.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 5)) 1/9) (/.f64 1 N))))>
#<alt (+.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 5)) 1/9) (/.f64 1 N))) (*.f64 1/3 (*.f64 (/.f64 (-.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (*.f64 4/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 16)) 1/9))) (pow.f64 N 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 4)))))))>
#<alt (+.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 5)) 1/9) (/.f64 1 N))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (-.f64 (*.f64 -2/3 (log.f64 (/.f64 1 N))) (+.f64 1 (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 1 N))) 1/9) (-.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (*.f64 4/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 16)) 1/9))))) (*.f64 -8/27 (cbrt.f64 (pow.f64 (log.f64 (/.f64 1 N)) 5)))))) (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 4))))) (*.f64 1/3 (*.f64 (/.f64 (-.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (*.f64 4/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 16)) 1/9))) (pow.f64 N 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 4))))))))>
#<alt (cbrt.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))>
#<alt (+.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 5)) 1/9) (/.f64 1 N))))>
#<alt (+.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 5)) 1/9)) (*.f64 -1/3 (*.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (*.f64 4/3 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 16)) 1/9))) N) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 4)))))) N)))>
#<alt (+.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) 1/9) (-.f64 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (*.f64 4/3 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 16)) 1/9))))) (*.f64 -8/27 (cbrt.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 5))))) N) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 4))))) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 4))) (-.f64 (+.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (*.f64 4/3 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 16)) 1/9)))))) N)) (*.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 5)) 1/9))) N)))>
#<alt (cbrt.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))))>
#<alt (+.f64 (cbrt.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2)))) (*.f64 1/9 (*.f64 (pow.f64 N 3) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) 2))))))>
#<alt (+.f64 (cbrt.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2)))) (*.f64 (pow.f64 N 3) (+.f64 (*.f64 -1/12 (*.f64 N (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) 2))))) (*.f64 1/9 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) 2)))))))>
#<alt (+.f64 (cbrt.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2)))) (*.f64 (pow.f64 N 3) (+.f64 (*.f64 1/9 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) 2)))) (*.f64 N (+.f64 (*.f64 -1/12 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) 2)))) (*.f64 1/15 (*.f64 N (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 N (*.f64 -1/2 (pow.f64 N 2))) 2))))))))))>
#<alt (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 (/.f64 1 N))))>
#<alt (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 2)) 1/9) (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 (/.f64 1 N)))))>
#<alt (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 1 N))) 1/9) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (*.f64 (pow.f64 N 2) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 2))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 2)) 1/9) (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 (/.f64 1 N))))))>
#<alt (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 1 N))) 1/9) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (*.f64 (pow.f64 N 2) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 2))))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 5)) 1/9) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 1 N))) 1/9) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 2))))))) (*.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 2))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 2)) 1/9) (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 (/.f64 1 N)))))))>
#<alt (cbrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))>
#<alt (+.f64 (cbrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) 1/9) (/.f64 1 N))))>
#<alt (+.f64 (cbrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) 1/9)) (*.f64 1/3 (*.f64 (/.f64 (+.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) 1/9))) N) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)))))) N)))>
#<alt (+.f64 (cbrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) 1/9))) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2))))) (*.f64 1/3 (*.f64 (/.f64 (+.f64 1/3 (+.f64 (*.f64 -1/27 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 5)) 1/9) (+.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) 1/9))))))) N) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)))))) N)) (*.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)) 1/9))) N)))>
Calls

51 calls:

TimeVariablePointExpression
3.0ms
N
@inf
(+ 1/3 (/ (+ (/ 3/8 N) -1/4) N))
2.0ms
N
@-inf
(pow (cbrt (log (+ 1 N))) 2)
2.0ms
N
@-inf
(cbrt (log (+ 1 N)))
2.0ms
N
@inf
(cbrt (log (+ 1 N)))
2.0ms
N
@inf
(pow (cbrt (log (+ 1 N))) 2)

rewrite286.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
366×log1p-expm1-u
366×expm1-log1p-u
354×add-exp-log
353×pow1
353×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047590
1825587
Stop Event
1×node limit
Counts
17 → 349
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)
(+.f64 (/.f64 -1/4 N) 1/3)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))))
(/.f64 (/.f64 1/2 N) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)
(+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)) N)) (neg.f64 N))
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)) N)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N))) 1)
(/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)
(+.f64 (/.f64 -1/4 N) 1/3)
(log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(cbrt.f64 (log1p.f64 N))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N))) 1)
(*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (/.f64 1 N))
(*.f64 1 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) (sqrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(pow.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) 2)
(pow.f64 (/.f64 N (+.f64 (/.f64 -1/4 N) 1/3)) -1)
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -1/4 N) 1/3))) 1)
(*.f64 1 (+.f64 (/.f64 -1/4 N) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 2) (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(/.f64 (-.f64 (pow.f64 (/.f64 -1/4 N) 2) 1/9) (-.f64 (/.f64 -1/4 N) 1/3))
(/.f64 (+.f64 (/.f64 -1/64 (pow.f64 N 3)) 1/27) (+.f64 (pow.f64 (/.f64 -1/4 N) 2) (-.f64 1/9 (*.f64 (/.f64 -1/4 N) 1/3))))
(pow.f64 (+.f64 (/.f64 -1/4 N) 1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -1/4 N) 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 2)
(log.f64 (exp.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1/4 N) 1/3))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -1/4 N) 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(exp.f64 (log.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 1))
(fma.f64 -1/4 (/.f64 1 N) 1/3)
(fma.f64 1 (/.f64 -1/4 N) 1/3)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 -1/4 N) 2)) (cbrt.f64 (/.f64 -1/4 N)) 1/3)
(fma.f64 (sqrt.f64 (/.f64 -1/4 N)) (sqrt.f64 (/.f64 -1/4 N)) 1/3)
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) 1)
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) (/.f64 1 N))
(*.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)))
(pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) 2)
(pow.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2)) -1)
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)))
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) 1))
(+.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) -1)
(-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 1)
(*.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) (/.f64 1 N))
(*.f64 (/.f64 1 N) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1))
(*.f64 (/.f64 1 N) (pow.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) -1))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) -2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1))) -1) (pow.f64 (sqrt.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1))) -1))
(pow.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 2)
(pow.f64 (/.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) 1) -1)
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) 3) (pow.f64 N -3)))
(cbrt.f64 (*.f64 (pow.f64 N -3) (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (log.f64 N)))
(exp.f64 (*.f64 (-.f64 (log.f64 N) (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))) -1))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (log.f64 N)) 1))
(fma.f64 1 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 2)) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (pow.f64 N 2)))) 1)
(*.f64 1 (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (/.f64 1/2 N) (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 N 2))) 2) (cbrt.f64 (/.f64 1/2 (pow.f64 N 2))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N)) N)) N)) 1))
(+.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) -1)
(*.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) (/.f64 1 N))
(*.f64 (/.f64 1 N) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1))
(*.f64 (/.f64 1 N) (pow.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) -1))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) -2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1))) -1) (pow.f64 (sqrt.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1))) -1))
(/.f64 1 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)))
(/.f64 1 (/.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) 1))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)
(/.f64 -1 (neg.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1))))
(/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) (neg.f64 N))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 2) 1) (+.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 3) 1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 2) (+.f64 1 (*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 1))))
(pow.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 2)
(pow.f64 (/.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) 1) -1)
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) 3) (pow.f64 N -3)))
(cbrt.f64 (*.f64 (pow.f64 N -3) (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (log.f64 N)))
(exp.f64 (*.f64 (-.f64 (log.f64 N) (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))) -1))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (log.f64 N)) 1))
(fma.f64 1 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 2)) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N))) 1)
(*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (/.f64 1 N))
(*.f64 1 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) (sqrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(pow.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) 2)
(pow.f64 (/.f64 N (+.f64 (/.f64 -1/4 N) 1/3)) -1)
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -1/4 N) 1/3))) 1)
(*.f64 1 (+.f64 (/.f64 -1/4 N) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 2) (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(/.f64 (-.f64 (pow.f64 (/.f64 -1/4 N) 2) 1/9) (-.f64 (/.f64 -1/4 N) 1/3))
(/.f64 (+.f64 (/.f64 -1/64 (pow.f64 N 3)) 1/27) (+.f64 (pow.f64 (/.f64 -1/4 N) 2) (-.f64 1/9 (*.f64 (/.f64 -1/4 N) 1/3))))
(pow.f64 (+.f64 (/.f64 -1/4 N) 1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -1/4 N) 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 2)
(log.f64 (exp.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1/4 N) 1/3))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -1/4 N) 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(exp.f64 (log.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 1))
(fma.f64 -1/4 (/.f64 1 N) 1/3)
(fma.f64 1 (/.f64 -1/4 N) 1/3)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 -1/4 N) 2)) (cbrt.f64 (/.f64 -1/4 N)) 1/3)
(fma.f64 (sqrt.f64 (/.f64 -1/4 N)) (sqrt.f64 (/.f64 -1/4 N)) 1/3)
(+.f64 0 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 2))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))) (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) 2) (cbrt.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) (sqrt.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))))
(pow.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) 2)
(log.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) 1))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))) 1)
(*.f64 1 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) 2)) (cbrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) (sqrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(pow.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) 2)
(log.f64 (*.f64 (+.f64 1 N) (/.f64 1 N)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N)))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 N)))) 1)
(*.f64 1 (cbrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 1/6) (pow.f64 (log1p.f64 N) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))))
(pow.f64 (log1p.f64 N) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 N)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 N))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 N))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 1))

simplify400.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
786×fma-neg
654×fma-define
618×*-commutative
578×exp-prod
562×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0100251539629809
1230251539627878
2690851539627878
Stop Event
1×node limit
Counts
553 → 545
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)
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(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1))) -1) (pow.f64 (sqrt.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1))) -1))
(/.f64 1 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)))
(/.f64 1 (/.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) 1))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)
(/.f64 -1 (neg.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1))))
(/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) (neg.f64 N))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 2) 1) (+.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 3) 1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 2) (+.f64 1 (*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 1))))
(pow.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 2)
(pow.f64 (/.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) 1) -1)
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) 3) (pow.f64 N -3)))
(cbrt.f64 (*.f64 (pow.f64 N -3) (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (log.f64 N)))
(exp.f64 (*.f64 (-.f64 (log.f64 N) (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))) -1))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (log.f64 N)) 1))
(fma.f64 1 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 2)) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N))) 1)
(*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (/.f64 1 N))
(*.f64 1 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) (sqrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(pow.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) 2)
(pow.f64 (/.f64 N (+.f64 (/.f64 -1/4 N) 1/3)) -1)
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -1/4 N) 1/3))) 1)
(*.f64 1 (+.f64 (/.f64 -1/4 N) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 2) (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(/.f64 (-.f64 (pow.f64 (/.f64 -1/4 N) 2) 1/9) (-.f64 (/.f64 -1/4 N) 1/3))
(/.f64 (+.f64 (/.f64 -1/64 (pow.f64 N 3)) 1/27) (+.f64 (pow.f64 (/.f64 -1/4 N) 2) (-.f64 1/9 (*.f64 (/.f64 -1/4 N) 1/3))))
(pow.f64 (+.f64 (/.f64 -1/4 N) 1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -1/4 N) 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 2)
(log.f64 (exp.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1/4 N) 1/3))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -1/4 N) 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(exp.f64 (log.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 1))
(fma.f64 -1/4 (/.f64 1 N) 1/3)
(fma.f64 1 (/.f64 -1/4 N) 1/3)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 -1/4 N) 2)) (cbrt.f64 (/.f64 -1/4 N)) 1/3)
(fma.f64 (sqrt.f64 (/.f64 -1/4 N)) (sqrt.f64 (/.f64 -1/4 N)) 1/3)
(+.f64 0 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 2))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))) (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) 2) (cbrt.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) (sqrt.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))))
(pow.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) 2)
(log.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) 1))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))) 1)
(*.f64 1 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) 2)) (cbrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) (sqrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(pow.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) 2)
(log.f64 (*.f64 (+.f64 1 N) (/.f64 1 N)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N)))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 N)))) 1)
(*.f64 1 (cbrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 1/6) (pow.f64 (log1p.f64 N) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))))
(pow.f64 (log1p.f64 N) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 N)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 N))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 N))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.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)
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(/.f64 (-.f64 (/.f64 1/3 N) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)
(*.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))
(/.f64 (-.f64 (/.f64 1/3 N) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 2)) (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)))
(/.f64 (-.f64 (/.f64 1/3 N) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)
(pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)
(/.f64 (-.f64 (/.f64 1/3 N) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) 3)
(/.f64 (-.f64 (/.f64 1/3 N) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 3) 1/3)
(/.f64 (-.f64 (/.f64 1/3 N) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) 2)
(/.f64 (-.f64 (/.f64 1/3 N) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)
(pow.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2)) -1)
(/.f64 (-.f64 (/.f64 1/3 N) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)))
(/.f64 (-.f64 (/.f64 1/3 N) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))))
(/.f64 (-.f64 (/.f64 1/3 N) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 3))
(/.f64 (-.f64 (/.f64 1/3 N) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)))
(/.f64 (-.f64 (/.f64 1/3 N) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)))
(/.f64 (-.f64 (/.f64 1/3 N) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)))
(/.f64 (-.f64 (/.f64 1/3 N) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) 1))
(/.f64 (-.f64 (/.f64 1/3 N) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)
(+.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) -1)
(+.f64 1 (+.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) -1))
(+.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) 0)
(-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 1)
(+.f64 1 (+.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) -1))
(+.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) 0)
(*.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) (/.f64 1 N))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(*.f64 (/.f64 1 N) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(*.f64 (/.f64 1 N) (pow.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) -1))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) -2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N))) -2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N))) 2))) (/.f64 1 (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N))))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N))))) 1) (cbrt.f64 (pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N))) 2)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1))) -1) (pow.f64 (sqrt.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1))) -1))
(pow.f64 (sqrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)))) -2)
(pow.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) -1)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N) 1)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 3)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N) 3) 1/3)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(pow.f64 (/.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) 1) -1)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N) 3))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) 3) (pow.f64 N -3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 3) (pow.f64 N -3)))
(cbrt.f64 (*.f64 (pow.f64 N -3) (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 3) (pow.f64 N -3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) 3) (pow.f64 N 3)))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(+.f64 1 (+.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) -1))
(+.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) 0)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(exp.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (log.f64 N)))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(exp.f64 (*.f64 (-.f64 (log.f64 N) (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))) -1))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (log.f64 N)) 1))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(fma.f64 1 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) -1)
(+.f64 1 (+.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) -1))
(+.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) 0)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 2)) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)) 2)) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) -1)
(+.f64 1 (+.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) -1))
(+.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (pow.f64 N 2)))) 1)
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(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N)) N)) N)
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(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N)) N)) N)
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(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N)) N)) N)
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(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N)) N)) N)
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(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N)) N)) N)
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(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N)) N)) N)
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(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N)) N)) N)
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(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N)) N)) N)
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(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N)) N)) N)
(+.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) -1)
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(/.f64 1 (/.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) 1))
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(pow.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) -1)
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(pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N) 1)
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(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 3)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N) 3) 1/3)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(pow.f64 (/.f64 (/.f64 N (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1)) 1) -1)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N) 3))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) 3) (pow.f64 N -3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 3) (pow.f64 N -3)))
(cbrt.f64 (*.f64 (pow.f64 N -3) (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 3) (pow.f64 N -3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) 3) (pow.f64 N 3)))
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(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(+.f64 1 (+.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) -1))
(+.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) 0)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(exp.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (log.f64 N)))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(exp.f64 (*.f64 (-.f64 (log.f64 N) (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))) -1))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (log.f64 N)) 1))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(fma.f64 1 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) -1)
(+.f64 1 (+.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) -1))
(+.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) 0)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 2)) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)) 2)) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) -1)
(+.f64 1 (+.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) -1))
(+.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N))) 1)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)))
(*.f64 (+.f64 (/.f64 -1/4 N) 1/3) (/.f64 1 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 N) 1/3) N))
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) (sqrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(pow.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) 1)
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) 3)
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) 3) 1/3)
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) 2)
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(pow.f64 (/.f64 N (+.f64 (/.f64 -1/4 N) 1/3)) -1)
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N))))
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) 3))
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)))
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) 1))
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -1/4 N) 1/3))) 1)
(expm1.f64 (log1p.f64 (+.f64 1/3 (/.f64 -1/4 N))))
(+.f64 -1 (+.f64 4/3 (/.f64 -1/4 N)))
(*.f64 1 (+.f64 (/.f64 -1/4 N) 1/3))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 2) (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(/.f64 (-.f64 (pow.f64 (/.f64 -1/4 N) 2) 1/9) (-.f64 (/.f64 -1/4 N) 1/3))
(/.f64 (+.f64 (pow.f64 (/.f64 -1/4 N) 2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3))
(/.f64 (+.f64 (/.f64 -1/64 (pow.f64 N 3)) 1/27) (+.f64 (pow.f64 (/.f64 -1/4 N) 2) (-.f64 1/9 (*.f64 (/.f64 -1/4 N) 1/3))))
(/.f64 (+.f64 1/27 (/.f64 -1/64 (pow.f64 N 3))) (+.f64 (pow.f64 (/.f64 -1/4 N) 2) (-.f64 1/9 (/.f64 -1/12 N))))
(/.f64 (+.f64 1/27 (/.f64 -1/64 (pow.f64 N 3))) (+.f64 1/9 (+.f64 (/.f64 1/12 N) (pow.f64 (/.f64 -1/4 N) 2))))
(pow.f64 (+.f64 (/.f64 -1/4 N) 1/3) 1)
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 3)
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(pow.f64 (pow.f64 (+.f64 (/.f64 -1/4 N) 1/3) 3) 1/3)
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 2)
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(log.f64 (exp.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1/4 N) 1/3))))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -1/4 N) 1/3) 3))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(expm1.f64 (log1p.f64 (+.f64 1/3 (/.f64 -1/4 N))))
(+.f64 -1 (+.f64 4/3 (/.f64 -1/4 N)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(exp.f64 (log.f64 (+.f64 (/.f64 -1/4 N) 1/3)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1/4 N) 1/3)) 1))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(fma.f64 -1/4 (/.f64 1 N) 1/3)
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(fma.f64 1 (/.f64 -1/4 N) 1/3)
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 -1/4 N) 2)) (cbrt.f64 (/.f64 -1/4 N)) 1/3)
(fma.f64 (sqrt.f64 (/.f64 -1/4 N)) (sqrt.f64 (/.f64 -1/4 N)) 1/3)
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(+.f64 0 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 2))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)) 2))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))) (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))) 1)
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))))
(*.f64 1 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) 2) (cbrt.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))))
(log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) (sqrt.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))))
(log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(pow.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 1)
(log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) 3)
(log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 3) 1/3)
(log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) 2)
(log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(log.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)))
(log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 3))
(log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))))
(log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N))) 1))
(log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))) 1)
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 1 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) 2)) (cbrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) (sqrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) 3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) 3) 1/3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) 2)
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (*.f64 (+.f64 1 N) (/.f64 1 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(-.f64 (log1p.f64 N) (log.f64 N))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (log.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(*.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (log1p.f64 N)))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N)))))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N)))) 1))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 N)))) 1)
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 1 (cbrt.f64 (log1p.f64 N)))
(cbrt.f64 (log1p.f64 N))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 1/6) (pow.f64 (log1p.f64 N) 1/6))
(cbrt.f64 (log1p.f64 N))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 N)))
(cbrt.f64 (log1p.f64 N))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))))
(pow.f64 (log1p.f64 N) 1/3)
(cbrt.f64 (log1p.f64 N))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 1)
(cbrt.f64 (log1p.f64 N))
(pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(fabs.f64 (cbrt.f64 (log1p.f64 N)))
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3)
(cbrt.f64 (log1p.f64 N))
(pow.f64 (pow.f64 (log1p.f64 N) 1/6) 2)
(cbrt.f64 (log1p.f64 N))
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(fabs.f64 (cbrt.f64 (log1p.f64 N)))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 N))))
(cbrt.f64 (log1p.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 N)))))
(cbrt.f64 (log1p.f64 N))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 N))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 N))))
(cbrt.f64 (log1p.f64 N))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 N))))
(cbrt.f64 (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/3))
(cbrt.f64 (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 1))
(cbrt.f64 (log1p.f64 N))

eval611.0ms (6.3%)

Compiler

Compiled 21445 to 15375 computations (28.3% saved)

prune190.0ms (2%)

Pruning

39 alts after pruning (29 fresh and 10 done)

PrunedKeptTotal
New84313856
Fresh51621
Picked145
Done066
Total84939888
Accuracy
99.8%
Counts
888 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.2%
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (pow.f64 (log1p.f64 N) 1/3) (neg.f64 (log.f64 N)))
✓22.8%
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
23.6%
(fma.f64 (sqrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) 1)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
✓23.5%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
23.2%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N)))) (neg.f64 (log.f64 N)))
22.8%
(fma.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N))))) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
✓90.6%
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) N) 3) 1/3)
22.3%
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3) 3)
25.1%
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 3)
24.5%
(/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N)))
22.2%
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 3) (+.f64 (log1p.f64 N) (log.f64 N)))
23.6%
(/.f64 (/.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)))) (+.f64 (log1p.f64 N) (log.f64 N)))
22.0%
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 2) 1) (+.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 1))
85.6%
(/.f64 (-.f64 (pow.f64 N 3) 1/4) (pow.f64 N 4))
✓95.7%
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))
95.5%
(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N)
✓93.7%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
93.8%
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (/.f64 1/4 N) N)) N)) (neg.f64 N))
96.3%
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)) N)) (neg.f64 N))
✓96.2%
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)) N)) (neg.f64 N))
96.2%
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)
93.6%
(/.f64 (+.f64 (+.f64 2 (/.f64 -1/2 N)) -1) N)
21.9%
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)) 2)) (+.f64 2 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)))
✓96.3%
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))))
95.5%
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))))
93.8%
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 -1/2 N))))
✓86.0%
(/.f64 1 N)
22.2%
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))))
96.2%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N)) N)) N) (neg.f64 N)))
✓93.7%
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
21.9%
(-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 1)
✓22.3%
(-.f64 (log1p.f64 N) (log.f64 N))
23.4%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
22.5%
(+.f64 1 (+.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) -1))
21.9%
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N)) N)) N)) N)))
96.2%
(*.f64 (/.f64 1 N) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1))
25.7%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
25.1%
(log.f64 (+.f64 1 (/.f64 1 N)))
91.7%
(exp.f64 (log.f64 (/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N)) N)) N)) (neg.f64 N))))
Compiler

Compiled 1674 to 1138 computations (32% saved)

regimes76.0ms (0.8%)

Counts
64 → 2
Calls
Call 1
Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 -1/2 N))))
(/.f64 (+.f64 (+.f64 2 (/.f64 -1/2 N)) -1) 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 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (/.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)) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) 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 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (/.f64 1 N))
(*.f64 (/.f64 1 N) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))))
(+.f64 1 (+.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) -1))
(-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 1)
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)) N)) (neg.f64 N))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N)) N)) N) (neg.f64 N)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N)) N)) N)) N)))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)) N)) (neg.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (/.f64 (+.f64 -1/9 (/.f64 -1/16 (pow.f64 N 2))) (+.f64 (/.f64 -1/4 N) -1/3)) N)) N)) (neg.f64 N))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)) 2)) (+.f64 2 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 2) 1) (+.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 1))
(-.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 (-.f64 (pow.f64 N 3) 1/4) (pow.f64 N 4))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 3)
(/.f64 (fma.f64 N (+.f64 1/3 (*.f64 N (+.f64 N -1/2))) -1/4) (pow.f64 N 4))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) N) 3))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) N)) 2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) N))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N))) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) N) 3) 1/3)
(exp.f64 (log.f64 (/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N)) N)) N)) (neg.f64 N))))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) 3)
(exp.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) (log.f64 N)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (log.f64 N)))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1/3) 3)
(/.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (log.f64 N)) N) (+.f64 (/.f64 1 N) (*.f64 2 (log.f64 N)))) 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))))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (+.f64 1 (log1p.f64 N)) 1)) (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)))
(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) (pow.f64 (log1p.f64 N) 1/3) (neg.f64 (log.f64 N)))
(/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) 2))) (+.f64 (log1p.f64 N) (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N)))) (neg.f64 (log.f64 N)))
(fma.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 N))))) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) 3) (+.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (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 (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 (-.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)))) (+.f64 (log1p.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 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
Outputs
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
Calls

2 calls:

59.0ms
N
13.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
99.5%2N
99.5%2(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes26.0ms (0.3%)

Counts
24 → 2
Calls
Call 1
Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 -1/2 N))))
(/.f64 (+.f64 (+.f64 2 (/.f64 -1/2 N)) -1) 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 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (/.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)) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) 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 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (/.f64 1 N))
(*.f64 (/.f64 1 N) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))))
(+.f64 1 (+.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) -1))
(-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 1)
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)) N)) (neg.f64 N))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N)) N)) N) (neg.f64 N)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N)) N)) N)) N)))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)) N)) (neg.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log.f64 (/.f64 (+.f64 N 1) N))
Outputs
(log.f64 (+.f64 1 (/.f64 1 N)))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))))
Calls

1 calls:

24.0ms
N
Results
AccuracySegmentsBranch
99.5%2N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.1%)

Counts
22 → 1
Calls
Call 1
Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 -1/2 N))))
(/.f64 (+.f64 (+.f64 2 (/.f64 -1/2 N)) -1) 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 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (/.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)) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) 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 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (/.f64 1 N))
(*.f64 (/.f64 1 N) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))))
(+.f64 1 (+.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) -1))
(-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) N)) 1)
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)) N)) (neg.f64 N))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N)) N)) N) (neg.f64 N)))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N)) N)) N)) N)))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)) N)) (neg.f64 N))
Outputs
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))))
Calls

1 calls:

12.0ms
N
Results
AccuracySegmentsBranch
96.3%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 -1/2 N))))
(/.f64 (+.f64 (+.f64 2 (/.f64 -1/2 N)) -1) 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 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (/.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)) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1) 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 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) (/.f64 1 N))
(*.f64 (/.f64 1 N) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N) 1))
Outputs
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
Calls

1 calls:

10.0ms
N
Results
AccuracySegmentsBranch
96.2%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

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

1 calls:

6.0ms
N
Results
AccuracySegmentsBranch
95.5%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

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

5.0ms
N
Results
AccuracySegmentsBranch
95.5%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

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

1 calls:

5.0ms
N
Results
AccuracySegmentsBranch
93.8%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
N
Results
AccuracySegmentsBranch
93.7%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
(/.f64 1 N)
Outputs
(/.f64 1 N)
Calls

1 calls:

3.0ms
N
Results
AccuracySegmentsBranch
86.0%1N
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0002559713845258216
0.0008499392441825293
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch13.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1176.0547561717115
3906.1867076295125
Results
11.0ms79×256valid
0.0ms1×256valid
Compiler

Compiled 147 to 119 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-log, time spent: 3.0ms, 65.0% 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

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
36×+-commutative
14×sub-neg
10×*-commutative
10×neg-sub0
10×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061484
184484
296484
3105484
4111484
5113484
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1152921504606847/2305843009213693952) (/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 N 1300) (log.f64 (+.f64 1 (/.f64 1 N))) (/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)))))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 -1/2 N))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 1 N)
Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 1152921504606847/2305843009213693952) (/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 N 1300) (log.f64 (+.f64 1 (/.f64 1 N))) (/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)))))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N))))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N) -1/2) N)) N)
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 -1/2 N))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 1 N)
Compiler

Compiled 145 to 112 computations (22.8% saved)

soundness826.0ms (8.5%)

Rules
1084×fma-define
948×div-sub
900×associate-*r*
788×prod-diff
724×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
19229
2120129
03505046
17864788
221574729
369644723
0121312884936459
1309912884934533
049450
1810430
034308
1562304
017128
133104
263100
3109100
4175100
5268100
6346100
7405100
8457100
9492100
10518100
11520100
Stop Event
1×saturated
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 684 to 493 computations (27.9% saved)

end0.0ms (0%)

preprocess113.0ms (1.2%)

Compiler

Compiled 300 to 228 computations (24% saved)

Profiling

Loading profile data...