2log (problem 3.3.6)

Time bar (total: 7.8s)

analyze0.0ms (0%)

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

Compiled 15 to 11 computations (26.7% saved)

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

sample1.2s (14.9%)

Results
1.1s8255×256valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 535.0ms
Operation ival-log, time spent: 294.0ms, 55.0% of total-time
Operation ival-add, time spent: 66.0ms, 12.0% of total-time
Operation ival-sub, time spent: 53.0ms, 10.0% of total-time
Operation ival-<, time spent: 48.0ms, 9.0% of total-time
Operation ival->, time spent: 45.0ms, 8.0% of total-time
Operation const, time spent: 18.0ms, 3.0% of total-time
Operation ival-and, time spent: 12.0ms, 2.0% of total-time
Bogosity

preprocess186.0ms (2.4%)

Algorithm
egg-herbie
Rules
168×fma-define
132×fma-neg
66×sub-neg
44×unsub-neg
40×associate--r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2501(60.854703871252)2(14.516946768251207)(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
00-0-(log.f64 (+.f64 N 1))
00-0-(+.f64 N 1)
00-0-N
00-0-1
00-0-(log.f64 N)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))cancellation2493
Confusion
Predicted +Predicted -
+2482
-15
Precision
0.9959839357429718
Recall
0.992
Confusion?
Predicted +Predicted MaybePredicted -
+24820
-114
Precision?
0.9920634920634921
Recall?
1.0
Iterations

Useful iterations: 2 (0.0ms)

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

Compiled 56 to 38 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
Operation ival-log, time spent: 26.0ms, 63.0% of total-time
Operation ival-add, time spent: 10.0ms, 24.0% of total-time
Operation ival-sub, time spent: 3.0ms, 7.0% of total-time
Operation const, time spent: 2.0ms, 5.0% 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
25.1%
(-.f64 (log1p.f64 N) (log.f64 N))
25.1%
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize64.0ms (0.8%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 N)
25.1%
(-.f64 (log1p.f64 N) (log.f64 N))
100.0%
(log.f64 (+.f64 N 1))
25.1%
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 30 to 15 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
Operation ival-log, time spent: 16.0ms, 50.0% of total-time
Operation composed, time spent: 6.0ms, 19.0% of total-time
Operation ival-add, time spent: 5.0ms, 16.0% of total-time
Operation ival-sub, time spent: 3.0ms, 9.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

series8.0ms (0.1%)

Counts
4 → 48
Calls
Call 1
Inputs
#<alt (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))>
#<alt (log.f64 (+.f64 N 1))>
#<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))))>
#<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

12 calls:

TimeVariablePointExpression
2.0ms
N
@inf
(- (log (+ N 1)) (log N))
1.0ms
N
@-inf
(- (log (+ N 1)) (log N))
0.0ms
N
@0
(- (log (+ N 1)) (log N))
0.0ms
N
@-inf
(log (+ N 1))
0.0ms
N
@-inf
(log (+ 1 N))

rewrite353.0ms (4.5%)

Algorithm
batch-egg-rewrite
Rules
998×unpow-prod-down
862×prod-diff
624×log1p-expm1-u
624×expm1-log1p-u
558×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01358
118158
2175858
Stop Event
node limit
Counts
4 → 324
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(log.f64 (+.f64 N 1))
(-.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 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)))
(+.f64 (*.f64 1/2 (log1p.f64 N)) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (sqrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) N)))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N))))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.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)) (pow.f64 (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) 2))) 1))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (pow.f64 (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))) 1))
(*.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 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 1) (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.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 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 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 (/.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)
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
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(/.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 (/.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)
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))
(log.f64 (*.f64 (/.f64 1 N) (+.f64 N 1)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 N))) (+.f64 N 1)))
(log.f64 (/.f64 (+.f64 N 1) (+.f64 1 (+.f64 N -1))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (-.f64 (/.f64 (+.f64 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))
(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 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 (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 (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 -1 (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 (+.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 (log1p.f64 N) 0)
(+.f64 0 (log1p.f64 N))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 N))) (*.f64 1/3 (log1p.f64 N)))
(+.f64 (*.f64 1/3 (log1p.f64 N)) (*.f64 2 (*.f64 1/3 (log1p.f64 N))))
(+.f64 (*.f64 1/2 (log1p.f64 N)) (*.f64 1/2 (log1p.f64 N)))
(+.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (/.f64 1 (-.f64 (fma.f64 N N 1) N))))
(+.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (/.f64 1 (+.f64 N -1))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 N -1) (fma.f64 N N -1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 N))) 1)
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (-.f64 (fma.f64 N N 1) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N 2) N))))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 N -1)))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 N 3)))) (log.f64 (neg.f64 (-.f64 (fma.f64 N N 1) N))))
(-.f64 (log.f64 (neg.f64 (fma.f64 N N -1))) (log.f64 (neg.f64 (+.f64 N -1))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log1p.f64 (neg.f64 N)))
(*.f64 1 (log1p.f64 N))
(*.f64 (log1p.f64 N) 1)
(*.f64 (log1p.f64 N) (log.f64 (exp.f64 1)))
(*.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 3 (*.f64 1/3 (log1p.f64 N)))
(*.f64 2 (*.f64 1/2 (log1p.f64 N)))
(*.f64 1/3 (*.f64 3 (log1p.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(*.f64 (pow.f64 1 1/3) (log1p.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(*.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 (log1p.f64 N) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (sqrt.f64 (log1p.f64 N))) 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)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 N -1) (fma.f64 N N -1))))
(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 (log1p.f64 N)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 N))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 2))

simplify196.0ms (2.5%)

Algorithm
egg-herbie
Rules
1608×fma-neg
780×cancel-sign-sub-inv
658×times-frac
556×distribute-lft-neg-in
544×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045412696
1100212058
2306511806
Stop Event
node limit
Counts
372 → 270
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 -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
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(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 -1 (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 (+.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 (log1p.f64 N) 0)
(+.f64 0 (log1p.f64 N))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 N))) (*.f64 1/3 (log1p.f64 N)))
(+.f64 (*.f64 1/3 (log1p.f64 N)) (*.f64 2 (*.f64 1/3 (log1p.f64 N))))
(+.f64 (*.f64 1/2 (log1p.f64 N)) (*.f64 1/2 (log1p.f64 N)))
(+.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (/.f64 1 (-.f64 (fma.f64 N N 1) N))))
(+.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (/.f64 1 (+.f64 N -1))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 N -1) (fma.f64 N N -1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 N))) 1)
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (-.f64 (fma.f64 N N 1) N)))
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N 2) N))))
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 N -1)))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 N 3)))) (log.f64 (neg.f64 (-.f64 (fma.f64 N N 1) N))))
(-.f64 (log.f64 (neg.f64 (fma.f64 N N -1))) (log.f64 (neg.f64 (+.f64 N -1))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log1p.f64 (neg.f64 N)))
(*.f64 1 (log1p.f64 N))
(*.f64 (log1p.f64 N) 1)
(*.f64 (log1p.f64 N) (log.f64 (exp.f64 1)))
(*.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 3 (*.f64 1/3 (log1p.f64 N)))
(*.f64 2 (*.f64 1/2 (log1p.f64 N)))
(*.f64 1/3 (*.f64 3 (log1p.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(*.f64 (pow.f64 1 1/3) (log1p.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(*.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 (log1p.f64 N) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (sqrt.f64 (log1p.f64 N))) 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)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 N -1) (fma.f64 N N -1))))
(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 (log1p.f64 N)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 N))) 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))
(fma.f64 N (+.f64 1 (*.f64 N -1/2)) (neg.f64 (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))
(fma.f64 N (+.f64 1 (*.f64 N (fma.f64 1/3 N -1/2))) (neg.f64 (log.f64 N)))
(-.f64 (*.f64 N (fma.f64 N (fma.f64 N 1/3 -1/2) 1)) (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 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)
(/.f64 (+.f64 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (+.f64 (/.f64 1/2 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 (+.f64 1 (/.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 (/.f64 1/4 N) -1/3) 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 (log.f64 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 -1 (/.f64 1/2 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 (log.f64 -1) (+.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N) (log.f64 (/.f64 -1 N))))
(*.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))
(fma.f64 N (+.f64 1 (*.f64 N -1/2)) (neg.f64 (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))
(fma.f64 N (+.f64 1 (*.f64 N (fma.f64 1/3 N -1/2))) (neg.f64 (log.f64 N)))
(-.f64 (*.f64 N (fma.f64 N (fma.f64 N 1/3 -1/2) 1)) (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 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)
(/.f64 (+.f64 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (+.f64 (/.f64 1/2 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 (+.f64 1 (/.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 (/.f64 1/4 N) -1/3) 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 (log.f64 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 -1 (/.f64 1/2 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))))
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(-.f64 (log.f64 (-.f64 -1 (pow.f64 N 3))) (log.f64 (neg.f64 (-.f64 (fma.f64 N N 1) N))))
(-.f64 (log.f64 (-.f64 -1 (pow.f64 N 3))) (log.f64 (+.f64 N (neg.f64 (fma.f64 N N 1)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 N N -1))) (log.f64 (neg.f64 (+.f64 N -1))))
(-.f64 (log.f64 (neg.f64 (fma.f64 N N -1))) (log.f64 (+.f64 (neg.f64 N) 1)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N 2))) (log1p.f64 (neg.f64 N)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N 2))) (log1p.f64 (neg.f64 N)))
(-.f64 (log.f64 (neg.f64 (fma.f64 N N -1))) (log.f64 (+.f64 (neg.f64 N) 1)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N 2))) (log1p.f64 (neg.f64 N)))
(*.f64 1 (log1p.f64 N))
(log1p.f64 N)
(*.f64 (log1p.f64 N) 1)
(log1p.f64 N)
(*.f64 (log1p.f64 N) (log.f64 (exp.f64 1)))
(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 3 (*.f64 1/3 (log1p.f64 N)))
(log1p.f64 N)
(*.f64 2 (*.f64 1/2 (log1p.f64 N)))
(log1p.f64 N)
(*.f64 1/3 (*.f64 3 (log1p.f64 N)))
(log1p.f64 N)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3))
(log1p.f64 N)
(*.f64 (pow.f64 1 1/3) (log1p.f64 N))
(log1p.f64 N)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3))
(log1p.f64 N)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 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))
(log1p.f64 N)
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 N) 3/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (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 (*.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 7) (cbrt.f64 (log1p.f64 N)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (sqrt.f64 (log1p.f64 N))) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (sqrt.f64 (log1p.f64 N)))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (cbrt.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) 5)))
(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)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 N -1) (fma.f64 N N -1))))
(neg.f64 (log.f64 (/.f64 (+.f64 -1 N) (fma.f64 N N -1))))
(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)))
(exp.f64 (log.f64 (log1p.f64 N)))
(log1p.f64 N)
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1))
(log1p.f64 N)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 3))
(log1p.f64 N)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 N))) 1/3))
(log1p.f64 N)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 2))
(log1p.f64 N)

eval67.0ms (0.9%)

Compiler

Compiled 3871 to 1903 computations (50.8% saved)

prune50.0ms (0.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2619270
Fresh000
Picked202
Done000
Total2639272
Accuracy
99.9%
Counts
272 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
92.6%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
96.4%
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))
95.0%
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
83.6%
(/.f64 1 N)
27.1%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 1 N)))))
99.8%
(log1p.f64 (/.f64 1 N))
28.1%
(log.f64 (/.f64 (+.f64 N 1) N))
25.1%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3))
Compiler

Compiled 172 to 130 computations (24.4% saved)

localize198.0ms (2.5%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
99.5%
(*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
99.4%
(*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3)
95.3%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3))
25.1%
(-.f64 (log1p.f64 N) (log.f64 N))
100.0%
(/.f64 (+.f64 N 1) N)
28.1%
(log.f64 (/.f64 (+.f64 N 1) N))
100.0%
(+.f64 -1/2 (/.f64 1/3 N))
99.9%
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
99.8%
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)
99.4%
(/.f64 1/3 N)
99.8%
(log1p.f64 (/.f64 1 N))
Compiler

Compiled 118 to 67 computations (43.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
Operation ival-log, time spent: 31.0ms, 26.0% of total-time
Operation ival-div, time spent: 28.0ms, 24.0% of total-time
Operation composed, time spent: 21.0ms, 18.0% of total-time
Operation ival-add, time spent: 14.0ms, 12.0% of total-time
Operation ival-mult, time spent: 14.0ms, 12.0% of total-time
Operation const, time spent: 5.0ms, 4.0% of total-time
Operation ival-exp, time spent: 4.0ms, 3.0% of total-time
Operation ival-sub, time spent: 1.0ms, 1.0% of total-time

series20.0ms (0.3%)

Counts
11 → 120
Calls
Call 1
Inputs
#<alt (log1p.f64 (/.f64 1 N))>
#<alt (/.f64 1/3 N)>
#<alt (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)>
#<alt (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)>
#<alt (+.f64 -1/2 (/.f64 1/3 N))>
#<alt (log.f64 (/.f64 (+.f64 N 1) N))>
#<alt (/.f64 (+.f64 N 1) N)>
#<alt (-.f64 (log1p.f64 N) (log.f64 N))>
#<alt (exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3))>
#<alt (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3)>
#<alt (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))>
Outputs
#<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 1/3 (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 -1/2 N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)>
#<alt (/.f64 -1/2 N)>
#<alt (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))>
#<alt (/.f64 1/3 (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 1 N)>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (/.f64 1/3 N)>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) N)>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) N)>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) N)>
#<alt -1/2>
#<alt (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)>
#<alt (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)>
#<alt (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)>
#<alt -1/2>
#<alt (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)>
#<alt (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)>
#<alt (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)>
#<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))>
#<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 (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 (log.f64 (neg.f64 (log.f64 N)))>
#<alt (+.f64 (log.f64 (neg.f64 (log.f64 N))) (*.f64 -1 (/.f64 N (log.f64 N))))>
#<alt (+.f64 (log.f64 (neg.f64 (log.f64 N))) (*.f64 N (-.f64 (*.f64 1/2 (*.f64 N (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))))) (/.f64 1 (log.f64 N)))))>
#<alt (+.f64 (log.f64 (neg.f64 (log.f64 N))) (*.f64 N (-.f64 (*.f64 N (+.f64 (*.f64 1/6 (*.f64 N (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (*.f64 2 (/.f64 1 (log.f64 N))) (*.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))))))) (*.f64 1/2 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))))) (/.f64 1 (log.f64 N)))))>
#<alt (log.f64 (/.f64 1 N))>
#<alt (-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 (log.f64 (/.f64 1 N)) (/.f64 5/24 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 (log.f64 (/.f64 1 N)) (/.f64 5/24 (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 3)))))>
#<alt (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))>
#<alt (-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (*.f64 1/2 (/.f64 1 N)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 N)) (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 5/24 (/.f64 1 N))) N))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 N)) (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 -1 (/.f64 (-.f64 5/24 (*.f64 1/8 (/.f64 1 N))) N))) N))))>
#<alt (*.f64 3 (log.f64 (neg.f64 (log.f64 N))))>
#<alt (+.f64 (*.f64 -3 (/.f64 N (log.f64 N))) (*.f64 3 (log.f64 (neg.f64 (log.f64 N)))))>
#<alt (+.f64 (*.f64 3 (log.f64 (neg.f64 (log.f64 N)))) (*.f64 N (-.f64 (*.f64 3/2 (*.f64 N (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))))) (*.f64 3 (/.f64 1 (log.f64 N))))))>
#<alt (+.f64 (*.f64 3 (log.f64 (neg.f64 (log.f64 N)))) (*.f64 N (-.f64 (*.f64 N (+.f64 (*.f64 1/2 (*.f64 N (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (*.f64 2 (/.f64 1 (log.f64 N))) (*.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))))))) (*.f64 3/2 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))))) (*.f64 3 (/.f64 1 (log.f64 N))))))>
#<alt (*.f64 3 (log.f64 (/.f64 1 N)))>
#<alt (-.f64 (*.f64 3 (log.f64 (/.f64 1 N))) (*.f64 3/2 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 (*.f64 3 (log.f64 (/.f64 1 N))) (/.f64 5/8 (pow.f64 N 2))) (*.f64 3/2 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 (*.f64 3 (log.f64 (/.f64 1 N))) (/.f64 5/8 (pow.f64 N 2))) (+.f64 (*.f64 3/2 (/.f64 1 N)) (*.f64 3/8 (/.f64 1 (pow.f64 N 3)))))>
#<alt (*.f64 3 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))>
#<alt (-.f64 (*.f64 3 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (*.f64 3/2 (/.f64 1 N)))>
#<alt (+.f64 (*.f64 -1 (/.f64 (-.f64 3/2 (*.f64 5/8 (/.f64 1 N))) N)) (*.f64 3 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))>
#<alt (+.f64 (*.f64 -1 (/.f64 (+.f64 3/2 (*.f64 -1 (/.f64 (-.f64 5/8 (*.f64 3/8 (/.f64 1 N))) N))) N)) (*.f64 3 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))>
Calls

33 calls:

TimeVariablePointExpression
3.0ms
N
@-inf
(/ (+ 1 (/ (+ -1/2 (/ 1/3 N)) N)) N)
1.0ms
N
@inf
(* (* 3 (log (- (log (+ 1 N)) (log N)))) 1/3)
1.0ms
N
@0
(/ (+ -1/2 (/ 1/3 N)) N)
1.0ms
N
@0
(* (* 3 (log (- (log (+ 1 N)) (log N)))) 1/3)
1.0ms
N
@0
(* 3 (log (- (log (+ 1 N)) (log N))))

rewrite202.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
1269×log1p-expm1-u
322×expm1-log1p-u
280×associate-*r*
177×add-exp-log
176×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027255
1428243
25749243
Stop Event
node limit
Counts
11 → 366
Calls
Call 1
Inputs
(log1p.f64 (/.f64 1 N))
(/.f64 1/3 N)
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(+.f64 -1/2 (/.f64 1/3 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 N 1) N)
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3))
(*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3)
(*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 N))) 1)
(*.f64 1 (/.f64 1/3 N))
(*.f64 (/.f64 1 N) 1/3)
(*.f64 1/3 (/.f64 1 N))
(*.f64 (/.f64 1/3 N) 1)
(*.f64 (cbrt.f64 (/.f64 1/3 N)) (cbrt.f64 (*.f64 1/9 (pow.f64 N -2))))
(*.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/3 N)))
(*.f64 (sqrt.f64 (/.f64 1/3 N)) (sqrt.f64 (/.f64 1/3 N)))
(*.f64 -1/3 (/.f64 1 (neg.f64 N)))
(*.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (*.f64 1/3 (pow.f64 N -1/2)) (pow.f64 N -1/2))
(pow.f64 (/.f64 1/3 N) 1)
(pow.f64 (cbrt.f64 (/.f64 1/3 N)) 3)
(pow.f64 (/.f64 1/27 (pow.f64 N 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1/3 N)) 2)
(pow.f64 (*.f64 N 3) -1)
(neg.f64 (/.f64 -1/3 N))
(sqrt.f64 (*.f64 1/9 (pow.f64 N -2)))
(log.f64 (exp.f64 (/.f64 1/3 N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 N))))
(cbrt.f64 (/.f64 1/27 (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 1/3 N)))
(log1p.f64 (expm1.f64 (/.f64 1/3 N)))
(exp.f64 (log.f64 (/.f64 1/3 N)))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 N)) 1))
(-.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) 1)
(*.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))
(*.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 N) -1/2))
(*.f64 (+.f64 (/.f64 1/3 N) -1/2) (/.f64 1 N))
(*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) (/.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (/.f64 1 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (sqrt.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (sqrt.f64 N)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (/.f64 1 N)))
(*.f64 (+.f64 (neg.f64 (/.f64 1/3 N)) 1/2) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(pow.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) 2)
(pow.f64 (/.f64 N (+.f64 (/.f64 1/3 N) -1/2)) -1)
(neg.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (neg.f64 N)))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 1/3 N)) 1/2) N))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N))) 1)
(*.f64 1 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N))
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))
(*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (/.f64 1 N))
(*.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) 2) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) N))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) (/.f64 1 N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (sqrt.f64 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N)))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) N))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) (/.f64 1 N)))
(*.f64 (+.f64 -1 (neg.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) 1) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N)) 2)
(pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) -1)
(neg.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (neg.f64 N)))
(neg.f64 (/.f64 (+.f64 -1 (neg.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) N))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) 3) (pow.f64 (/.f64 1 N) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (log.f64 N)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (log.f64 N)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1/3 N) -1/2))) 1)
(-.f64 (/.f64 1/4 (-.f64 -1/2 (/.f64 1/3 N))) (/.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 -1/2 (/.f64 1/3 N))))
(*.f64 1 (+.f64 (/.f64 1/3 N) -1/2))
(*.f64 (+.f64 (/.f64 1/3 N) -1/2) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)))
(*.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8) (/.f64 1 (+.f64 1/4 (-.f64 (*.f64 1/9 (pow.f64 N -2)) (/.f64 -1/6 N)))))
(*.f64 (-.f64 1/4 (*.f64 1/9 (pow.f64 N -2))) (/.f64 1 (-.f64 -1/2 (/.f64 1/3 N))))
(/.f64 1 (/.f64 (+.f64 1/4 (-.f64 (*.f64 1/9 (pow.f64 N -2)) (/.f64 -1/6 N))) (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8)))
(/.f64 1 (/.f64 (-.f64 -1/2 (/.f64 1/3 N)) (-.f64 1/4 (*.f64 1/9 (pow.f64 N -2)))))
(/.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8) (+.f64 1/4 (-.f64 (*.f64 1/9 (pow.f64 N -2)) (/.f64 -1/6 N))))
(/.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8) (+.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 1/4 (/.f64 -1/6 N))))
(/.f64 (-.f64 1/4 (*.f64 1/9 (pow.f64 N -2))) (-.f64 -1/2 (/.f64 1/3 N)))
(/.f64 (neg.f64 (+.f64 (/.f64 1/27 (pow.f64 N 3)) -1/8)) (neg.f64 (+.f64 1/4 (-.f64 (*.f64 1/9 (pow.f64 N -2)) (/.f64 -1/6 N)))))
(/.f64 (neg.f64 (-.f64 1/4 (*.f64 1/9 (pow.f64 N -2)))) (neg.f64 (-.f64 -1/2 (/.f64 1/3 N))))
(/.f64 (-.f64 (*.f64 1/9 (pow.f64 N -2)) 1/4) (-.f64 (/.f64 1/3 N) -1/2))
(pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1/3 N) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/3 N) -1/2))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1/3 N) -1/2)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1/3 N) -1/2)))
(exp.f64 (log.f64 (+.f64 (/.f64 1/3 N) -1/2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/3 N) -1/2)) 1))
(fma.f64 1 (/.f64 1/3 N) -1/2)
(fma.f64 1/3 (/.f64 1 N) -1/2)
(fma.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/3 N)) -1/2)
(fma.f64 (sqrt.f64 (/.f64 1/3 N)) (sqrt.f64 (/.f64 1/3 N)) -1/2)
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 3) (*.f64 1/3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(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)))))
(neg.f64 (log.f64 (/.f64 N (+.f64 1 N))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 1 N) N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 1 N) N) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 N) 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)))
(+.f64 0 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (+.f64 1 (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log1p.f64 (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1))
(exp.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))) 1)
(pow.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 3)
(pow.f64 (pow.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 2)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 9))
(log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1)))
(cbrt.f64 (pow.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(log1p.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(exp.f64 (*.f64 (log.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1))

simplify217.0ms (2.8%)

Algorithm
egg-herbie
Rules
1692×fma-neg
636×sub-neg
504×exp-prod
502×div-sub
500×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073716826
1169815746
2545314629
Stop Event
node limit
Counts
486 → 492
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 (*.f64 -1 (log.f64 N)) (*.f64 N (+.f64 1 (*.f64 -1/2 N))))
(+.f64 (*.f64 -1 (log.f64 N)) (*.f64 N (+.f64 1 (*.f64 N (-.f64 (*.f64 1/3 N) 1/2)))))
(/.f64 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)
(/.f64 1 N)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 -1/2 N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)
(/.f64 -1/2 N)
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 3))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
(/.f64 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 1 N)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(/.f64 1/3 N)
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) N)
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) N)
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) N)
-1/2
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
-1/2
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 (*.f64 -1 (log.f64 N)) (*.f64 N (+.f64 1 (*.f64 -1/2 N))))
(+.f64 (*.f64 -1 (log.f64 N)) (*.f64 N (+.f64 1 (*.f64 N (-.f64 (*.f64 1/3 N) 1/2)))))
(/.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 N)
(/.f64 (+.f64 1 N) N)
(/.f64 (+.f64 1 N) N)
(/.f64 (+.f64 1 N) N)
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(*.f64 -1 (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))
(*.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))
(log.f64 (neg.f64 (log.f64 N)))
(+.f64 (log.f64 (neg.f64 (log.f64 N))) (*.f64 -1 (/.f64 N (log.f64 N))))
(+.f64 (log.f64 (neg.f64 (log.f64 N))) (*.f64 N (-.f64 (*.f64 1/2 (*.f64 N (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))))) (/.f64 1 (log.f64 N)))))
(+.f64 (log.f64 (neg.f64 (log.f64 N))) (*.f64 N (-.f64 (*.f64 N (+.f64 (*.f64 1/6 (*.f64 N (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (*.f64 2 (/.f64 1 (log.f64 N))) (*.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))))))) (*.f64 1/2 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))))) (/.f64 1 (log.f64 N)))))
(log.f64 (/.f64 1 N))
(-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 (/.f64 1 N)) (/.f64 5/24 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 (/.f64 1 N)) (/.f64 5/24 (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 3)))))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (*.f64 1/2 (/.f64 1 N)))
(+.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 N)) (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 5/24 (/.f64 1 N))) N))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 N)) (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 -1 (/.f64 (-.f64 5/24 (*.f64 1/8 (/.f64 1 N))) N))) N))))
(*.f64 3 (log.f64 (neg.f64 (log.f64 N))))
(+.f64 (*.f64 -3 (/.f64 N (log.f64 N))) (*.f64 3 (log.f64 (neg.f64 (log.f64 N)))))
(+.f64 (*.f64 3 (log.f64 (neg.f64 (log.f64 N)))) (*.f64 N (-.f64 (*.f64 3/2 (*.f64 N (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))))) (*.f64 3 (/.f64 1 (log.f64 N))))))
(+.f64 (*.f64 3 (log.f64 (neg.f64 (log.f64 N)))) (*.f64 N (-.f64 (*.f64 N (+.f64 (*.f64 1/2 (*.f64 N (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (*.f64 2 (/.f64 1 (log.f64 N))) (*.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))))))) (*.f64 3/2 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))))) (*.f64 3 (/.f64 1 (log.f64 N))))))
(*.f64 3 (log.f64 (/.f64 1 N)))
(-.f64 (*.f64 3 (log.f64 (/.f64 1 N))) (*.f64 3/2 (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 3 (log.f64 (/.f64 1 N))) (/.f64 5/8 (pow.f64 N 2))) (*.f64 3/2 (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 3 (log.f64 (/.f64 1 N))) (/.f64 5/8 (pow.f64 N 2))) (+.f64 (*.f64 3/2 (/.f64 1 N)) (*.f64 3/8 (/.f64 1 (pow.f64 N 3)))))
(*.f64 3 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(-.f64 (*.f64 3 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (*.f64 3/2 (/.f64 1 N)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 3/2 (*.f64 5/8 (/.f64 1 N))) N)) (*.f64 3 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 3/2 (*.f64 -1 (/.f64 (-.f64 5/8 (*.f64 3/8 (/.f64 1 N))) N))) N)) (*.f64 3 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 N))) 1)
(*.f64 1 (/.f64 1/3 N))
(*.f64 (/.f64 1 N) 1/3)
(*.f64 1/3 (/.f64 1 N))
(*.f64 (/.f64 1/3 N) 1)
(*.f64 (cbrt.f64 (/.f64 1/3 N)) (cbrt.f64 (*.f64 1/9 (pow.f64 N -2))))
(*.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/3 N)))
(*.f64 (sqrt.f64 (/.f64 1/3 N)) (sqrt.f64 (/.f64 1/3 N)))
(*.f64 -1/3 (/.f64 1 (neg.f64 N)))
(*.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (*.f64 1/3 (pow.f64 N -1/2)) (pow.f64 N -1/2))
(pow.f64 (/.f64 1/3 N) 1)
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(log1p.f64 (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1))
(exp.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))) 1)
(pow.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 3)
(pow.f64 (pow.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 2)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 9))
(log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1)))
(cbrt.f64 (pow.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(log1p.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(exp.f64 (*.f64 (log.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (*.f64 -1 (log.f64 N)) (*.f64 N (+.f64 1 (*.f64 -1/2 N))))
(fma.f64 N (+.f64 1 (*.f64 N -1/2)) (neg.f64 (log.f64 N)))
(-.f64 (*.f64 N (fma.f64 N -1/2 1)) (log.f64 N))
(+.f64 (*.f64 -1 (log.f64 N)) (*.f64 N (+.f64 1 (*.f64 N (-.f64 (*.f64 1/3 N) 1/2)))))
(-.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 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.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 (/.f64 1/3 (pow.f64 N 2)) (/.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 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))
(/.f64 (+.f64 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) 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 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))
(/.f64 1/3 (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 (+.f64 (*.f64 N -1/2) 1/3) (pow.f64 N 2))
(/.f64 (fma.f64 N -1/2 1/3) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 (+.f64 (*.f64 N -1/2) 1/3) (pow.f64 N 2))
(/.f64 (fma.f64 N -1/2 1/3) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 (+.f64 (*.f64 N -1/2) 1/3) (pow.f64 N 2))
(/.f64 (fma.f64 N -1/2 1/3) (pow.f64 N 2))
(/.f64 -1/2 N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)
(/.f64 -1/2 N)
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 3))
(/.f64 (+.f64 (*.f64 N -1/2) 1/3) (pow.f64 N 3))
(/.f64 (fma.f64 N -1/2 1/3) (pow.f64 N 3))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
(/.f64 (+.f64 1/3 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 3))
(/.f64 (fma.f64 N (+.f64 N -1/2) 1/3) (pow.f64 N 3))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
(/.f64 (+.f64 1/3 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 3))
(/.f64 (fma.f64 N (+.f64 N -1/2) 1/3) (pow.f64 N 3))
(/.f64 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (+.f64 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (+.f64 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) 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))
(/.f64 (+.f64 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(/.f64 (+.f64 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N)
(/.f64 1/3 N)
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) N)
(/.f64 (+.f64 (*.f64 N -1/2) 1/3) N)
(/.f64 (fma.f64 N -1/2 1/3) N)
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) N)
(/.f64 (+.f64 (*.f64 N -1/2) 1/3) N)
(/.f64 (fma.f64 N -1/2 1/3) N)
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) N)
(/.f64 (+.f64 (*.f64 N -1/2) 1/3) N)
(/.f64 (fma.f64 N -1/2 1/3) N)
-1/2
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(+.f64 -1/2 (/.f64 1/3 N))
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(+.f64 -1/2 (/.f64 1/3 N))
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(+.f64 -1/2 (/.f64 1/3 N))
-1/2
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(+.f64 -1/2 (/.f64 1/3 N))
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(+.f64 -1/2 (/.f64 1/3 N))
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(+.f64 -1/2 (/.f64 1/3 N))
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (*.f64 -1 (log.f64 N)) (*.f64 N (+.f64 1 (*.f64 -1/2 N))))
(fma.f64 N (+.f64 1 (*.f64 N -1/2)) (neg.f64 (log.f64 N)))
(-.f64 (*.f64 N (fma.f64 N -1/2 1)) (log.f64 N))
(+.f64 (*.f64 -1 (log.f64 N)) (*.f64 N (+.f64 1 (*.f64 N (-.f64 (*.f64 1/3 N) 1/2)))))
(-.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 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.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 (/.f64 1/3 (pow.f64 N 2)) (/.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 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))
(/.f64 (+.f64 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) 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 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))
(/.f64 1 N)
(/.f64 (+.f64 1 N) N)
(/.f64 (+.f64 N 1) N)
(+.f64 1 (/.f64 1 N))
(/.f64 (+.f64 1 N) N)
(/.f64 (+.f64 N 1) N)
(+.f64 1 (/.f64 1 N))
(/.f64 (+.f64 1 N) N)
(/.f64 (+.f64 N 1) N)
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(/.f64 (+.f64 N 1) N)
(+.f64 1 (/.f64 1 N))
(/.f64 (+.f64 N 1) N)
(+.f64 1 (/.f64 1 N))
(/.f64 (+.f64 N 1) N)
1
(+.f64 1 (/.f64 1 N))
(/.f64 (+.f64 N 1) N)
(+.f64 1 (/.f64 1 N))
(/.f64 (+.f64 N 1) N)
(+.f64 1 (/.f64 1 N))
(/.f64 (+.f64 N 1) N)
(*.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))
(fma.f64 N (+.f64 1 (*.f64 N -1/2)) (neg.f64 (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 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.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 (/.f64 1/3 (pow.f64 N 2)) (/.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 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))
(/.f64 (+.f64 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) 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 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))
(*.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))
(fma.f64 N (+.f64 1 (*.f64 N -1/2)) (neg.f64 (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 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.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 (/.f64 1/3 (pow.f64 N 2)) (/.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 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))
(/.f64 (+.f64 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
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(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)) (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (fma.f64 -1 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (-.f64 (neg.f64 (log.f64 N)) (log1p.f64 N)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (exp.f64 3) (*.f64 1/3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (exp.f64 3) (*.f64 1/3 (log.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 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)))))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(neg.f64 (log.f64 (/.f64 N (+.f64 1 N))))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(log.f64 (/.f64 (+.f64 1 N) N))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 1 N) N) 1)))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(log1p.f64 (+.f64 (/.f64 1 N) 0))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 N) N) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(log1p.f64 (+.f64 (/.f64 1 N) 0))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(+.f64 0 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (log1p.f64 (/.f64 1 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 2 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(expm1.f64 (log1p.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (log.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (log1p.f64 (/.f64 1 N)))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (log1p.f64 (/.f64 1 N)))
(pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3)
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (log1p.f64 (/.f64 1 N)))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (log1p.f64 (/.f64 1 N)))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (log1p.f64 (/.f64 1 N)))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (log1p.f64 (/.f64 1 N)))
(log.f64 (+.f64 1 (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (log1p.f64 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (log1p.f64 (/.f64 1 N)))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(expm1.f64 (log1p.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(log1p.f64 (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (log1p.f64 (/.f64 1 N)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))) 1)
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N))))))
(pow.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 3)
(*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (pow.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) 1/3)
(*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 2)
(*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N))))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) 9))
(fabs.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))))
(log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1)))
(log1p.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) -1))
(log.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 0))
(log.f64 (+.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 0))
(cbrt.f64 (pow.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N))))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N))))))
(log1p.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1))
(log1p.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) -1))
(log.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 0))
(log.f64 (+.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 0))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))
(*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1))
(*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N))))

eval148.0ms (1.9%)

Compiler

Compiled 7532 to 5167 computations (31.4% saved)

prune98.0ms (1.3%)

Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New48210492
Fresh134
Picked145
Done000
Total48417501
Accuracy
100.0%
Counts
501 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.2%
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
95.0%
(pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) -1)
99.2%
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
97.8%
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
92.6%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
96.4%
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))
95.0%
(/.f64 (+.f64 1 (/.f64 (/.f64 (+.f64 (*.f64 N -1/2) 1/3) N) N)) N)
95.0%
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
94.9%
(/.f64 (+.f64 1 (+.f64 1 (-.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 1))) N)
83.6%
(/.f64 1 N)
94.9%
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))
27.1%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 1 N)))))
99.8%
(log1p.f64 (/.f64 1 N))
28.1%
(log.f64 (/.f64 (+.f64 N 1) N))
94.1%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
95.3%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
99.0%
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
Compiler

Compiled 316 to 257 computations (18.7% saved)

localize511.0ms (6.6%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
99.8%
(log1p.f64 (/.f64 1 N))
99.1%
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
98.9%
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
99.9%
(sqrt.f64 (+.f64 1 (/.f64 1 N)))
27.2%
(log.f64 (sqrt.f64 (+.f64 1 (/.f64 1 N))))
99.9%
(/.f64 (+.f64 1 (+.f64 1 (-.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 1))) N)
99.8%
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)
99.4%
(/.f64 1/3 N)
27.2%
(+.f64 1 (-.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 1))
99.9%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
99.8%
(log1p.f64 (/.f64 1 N))
99.8%
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
99.2%
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
Compiler

Compiled 164 to 129 computations (21.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 254.0ms
Operation ival-div, time spent: 62.0ms, 24.0% of total-time
Operation composed, time spent: 59.0ms, 23.0% of total-time
Operation ival-log, time spent: 59.0ms, 23.0% of total-time
Operation ival-add, time spent: 28.0ms, 11.0% of total-time
Operation ival-sub, time spent: 12.0ms, 5.0% of total-time
Operation ival-sqrt, time spent: 10.0ms, 4.0% of total-time
Operation const, time spent: 9.0ms, 4.0% of total-time
Operation ival-pow, time spent: 8.0ms, 3.0% of total-time
Operation ival-cbrt, time spent: 4.0ms, 2.0% of total-time
Operation ival-mult, time spent: 2.0ms, 1.0% of total-time

series30.0ms (0.4%)

Counts
9 → 108
Calls
Call 1
Inputs
#<alt (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)>
#<alt (sqrt.f64 (log1p.f64 (/.f64 1 N)))>
#<alt (/.f64 (-.f64 1 (/.f64 1/2 N)) N)>
#<alt (+.f64 1 (-.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 1))>
#<alt (/.f64 (+.f64 1 (+.f64 1 (-.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 1))) N)>
#<alt (log.f64 (sqrt.f64 (+.f64 1 (/.f64 1 N))))>
#<alt (sqrt.f64 (+.f64 1 (/.f64 1 N)))>
#<alt (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)>
#<alt (cbrt.f64 (log1p.f64 (/.f64 1 N)))>
Outputs
#<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 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1))>
#<alt (+.f64 (*.f64 1/2 (*.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))>
#<alt (+.f64 (*.f64 N (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 N (+.f64 1/2 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))>
#<alt (+.f64 (*.f64 N (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) (*.f64 N (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2))))) (sqrt.f64 -1)))) (*.f64 1/2 (*.f64 (/.f64 (*.f64 N (-.f64 1/3 (*.f64 -1/2 (/.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))>
#<alt (sqrt.f64 (/.f64 1 N))>
#<alt (+.f64 (sqrt.f64 (/.f64 1 N)) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 N 3)))))>
#<alt (+.f64 (sqrt.f64 (/.f64 1 N)) (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/6 (sqrt.f64 (/.f64 1 (pow.f64 N 5))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 1 N)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 7))) (+.f64 1/4 (*.f64 1/16 N)))) (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/6 (sqrt.f64 (/.f64 1 (pow.f64 N 5)))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))>
#<alt (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 N 3)))) (*.f64 (sqrt.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2)))>
#<alt (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/6 (sqrt.f64 (/.f64 1 (pow.f64 N 5)))) (*.f64 (sqrt.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))))>
#<alt (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/6 (sqrt.f64 N)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 N)) (+.f64 1/4 (*.f64 -1/16 (/.f64 N (pow.f64 (sqrt.f64 -1) 2))))))) (pow.f64 N 3))) (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 N 3)))) (*.f64 (sqrt.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 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 1/3 (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 -1/2 N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)>
#<alt (/.f64 -1/2 N)>
#<alt (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))>
#<alt (/.f64 1/3 (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 1 N)>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (+.f64 (log.f64 (sqrt.f64 N)) (*.f64 -1 (log.f64 N)))>
#<alt (+.f64 (log.f64 (sqrt.f64 N)) (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 1/2 N)))>
#<alt (+.f64 (log.f64 (sqrt.f64 N)) (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 (pow.f64 N 2) (-.f64 (*.f64 1/2 (/.f64 1 N)) 1/4))))>
#<alt (+.f64 (log.f64 (sqrt.f64 N)) (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 (pow.f64 N 2) (-.f64 (*.f64 1/6 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))) (*.f64 1/2 (/.f64 1 N))))))>
#<alt (/.f64 1/2 N)>
#<alt (/.f64 (-.f64 1/2 (*.f64 1/4 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1/2 (/.f64 1/6 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1/2 (/.f64 1/6 (pow.f64 N 2))) (+.f64 (*.f64 1/4 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 3))))) N)>
#<alt (/.f64 1/2 N)>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/2) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/6 (/.f64 1 N)) 1/4) N)) 1/2) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 N)) 1/6) N)) 1/4) N)) 1/2) N))>
#<alt (sqrt.f64 (/.f64 1 N))>
#<alt (/.f64 (+.f64 (sqrt.f64 N) (*.f64 1/2 (sqrt.f64 (pow.f64 N 3)))) N)>
#<alt (/.f64 (+.f64 (sqrt.f64 N) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1/8 (sqrt.f64 N)) (*.f64 1/2 (sqrt.f64 (/.f64 1 N)))))) N)>
#<alt (/.f64 (+.f64 (sqrt.f64 N) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 N))) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/16 (sqrt.f64 (/.f64 1 N)))))))) N)>
#<alt 1>
#<alt (+.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 N))) (/.f64 1/8 (pow.f64 N 2)))>
#<alt (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/16 (/.f64 1 (pow.f64 N 3))))) (/.f64 1/8 (pow.f64 N 2)))>
#<alt 1>
#<alt (+.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 N)) 1/2) N)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (/.f64 1 N)) 1/8) N)) 1/2) 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 (cbrt.f64 -1) (cbrt.f64 (log.f64 N)))>
#<alt (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/9) (*.f64 N (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N))))>
#<alt (+.f64 (*.f64 N (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (*.f64 N (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/9) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/9) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N))))>
#<alt (+.f64 (*.f64 N (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/9) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 N (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 1/2 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/9) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2))))) (*.f64 1/3 (*.f64 (/.f64 (*.f64 N (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 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 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 N) 2)))))))) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2))))))))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N))))>
#<alt (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))>
#<alt (+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))))>
#<alt (+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (+.f64 (*.f64 -1/12 (*.f64 (/.f64 1 (pow.f64 N 4)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2)))))))>
#<alt (+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (+.f64 (*.f64 -1/12 (*.f64 (/.f64 1 (pow.f64 N 4)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (+.f64 (*.f64 1/15 (*.f64 (/.f64 1 (pow.f64 N 5)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))))))>
#<alt (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))>
#<alt (+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))))>
#<alt (+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2)))) (*.f64 1/12 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2)))))) (pow.f64 N 3))))>
#<alt (+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/12 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2)))) (*.f64 1/15 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2)))))) N)) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (pow.f64 N 3))))>
Calls

27 calls:

TimeVariablePointExpression
9.0ms
N
@inf
(sqrt (log (+ 1 (/ 1 N))))
3.0ms
N
@inf
(cbrt (log (+ 1 (/ 1 N))))
2.0ms
N
@0
(cbrt (log (+ 1 (/ 1 N))))
2.0ms
N
@0
(log (sqrt (+ 1 (/ 1 N))))
1.0ms
N
@-inf
(cbrt (log (+ 1 (/ 1 N))))

rewrite206.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
833×log1p-expm1-u
268×associate-*r*
206×expm1-log1p-u
200×add-exp-log
199×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031216
1496190
26970190
Stop Event
node limit
Counts
9 → 311
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(+.f64 1 (-.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 1))
(/.f64 (+.f64 1 (+.f64 1 (-.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 1))) N)
(log.f64 (sqrt.f64 (+.f64 1 (/.f64 1 N))))
(sqrt.f64 (+.f64 1 (/.f64 1 N)))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
Outputs
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(+.f64 0 (log1p.f64 (/.f64 1 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(-.f64 (log.f64 (+.f64 1 (pow.f64 N -3))) (log.f64 (-.f64 (+.f64 1 (pow.f64 N -2)) (/.f64 1 N))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N -2))) (log.f64 (-.f64 1 (/.f64 1 N))))
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) 3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
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(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
(exp.f64 (log.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 1))
(fma.f64 1 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) -1) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) -1)) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) -1)) (sqrt.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) -1)) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N))) 1)
(*.f64 1 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N))
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
(*.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (/.f64 1 N))
(*.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) N))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (/.f64 1 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (sqrt.f64 N)))
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) N))
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (/.f64 1 N)))
(*.f64 (+.f64 -1 (neg.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (sqrt.f64 N)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 1) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) N))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)) 2)
(pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) -1)
(neg.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (neg.f64 N)))
(neg.f64 (/.f64 (+.f64 -1 (neg.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) N))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 3) (pow.f64 N -3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (log.f64 N)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (log.f64 N)) 1))
(+.f64 0 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))) (log.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 N -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 N -1/2)))) (log.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 N -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))) 1)
(*.f64 1 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(*.f64 1/2 (log1p.f64 (/.f64 1 N)))
(*.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) 1)
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))) 2) (cbrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))) (sqrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))))
(pow.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))) 3)
(pow.f64 (pow.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))))
(log1p.f64 (-.f64 (hypot.f64 1 (pow.f64 N -1/2)) 1))
(exp.f64 (log.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (pow.f64 N -1/2)))) 1)
(*.f64 1 (hypot.f64 1 (pow.f64 N -1/2)))
(*.f64 (hypot.f64 1 (pow.f64 N -1/2)) 1)
(*.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 N -1/2))) (cbrt.f64 (+.f64 1 (/.f64 1 N))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) (cbrt.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(*.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 N -1/2))) (sqrt.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 1 (pow.f64 N -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 N -3))) (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 N -2)) (/.f64 1 N))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 N -2))) (sqrt.f64 (-.f64 1 (/.f64 1 N))))
(pow.f64 (+.f64 1 (/.f64 1 N)) 1/2)
(pow.f64 (hypot.f64 1 (pow.f64 N -1/2)) 1)
(pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 N -1/2))) 3)
(pow.f64 (pow.f64 (hypot.f64 1 (pow.f64 N -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 N -1/2))) 2)
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))) 2)) (cbrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))) (sqrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))))
(fabs.f64 (hypot.f64 1 (pow.f64 N -1/2)))
(log.f64 (exp.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (pow.f64 N -1/2)))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 N -1/2)) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(hypot.f64 1 (pow.f64 N -1/2))
(log1p.f64 (expm1.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(exp.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 1 N)) 1/2))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(+.f64 0 (log1p.f64 (/.f64 1 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(-.f64 (log.f64 (+.f64 1 (pow.f64 N -3))) (log.f64 (-.f64 (+.f64 1 (pow.f64 N -2)) (/.f64 1 N))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N -2))) (log.f64 (-.f64 1 (/.f64 1 N))))
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) 3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 1) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))) 1)
(*.f64 1 (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 1))

simplify330.0ms (4.2%)

Algorithm
egg-herbie
Rules
1314×fma-neg
734×associate-*l*
730×*-commutative
714×associate-*r*
620×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091617179884885
1215517179883560
2758017179883560
Stop Event
node limit
Counts
419 → 505
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 (*.f64 -1 (log.f64 N)) (*.f64 N (+.f64 1 (*.f64 -1/2 N))))
(+.f64 (*.f64 -1 (log.f64 N)) (*.f64 N (+.f64 1 (*.f64 N (-.f64 (*.f64 1/3 N) 1/2)))))
(/.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 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (sqrt.f64 N)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 1) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) N))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)) 2)
(pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) -1)
(neg.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (neg.f64 N)))
(neg.f64 (/.f64 (+.f64 -1 (neg.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) N))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 3) (pow.f64 N -3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (log.f64 N)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (log.f64 N)) 1))
(+.f64 0 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))) (log.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 N -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 N -1/2)))) (log.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 N -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))) 1)
(*.f64 1 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(*.f64 1/2 (log1p.f64 (/.f64 1 N)))
(*.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) 1)
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))) 2) (cbrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))) (sqrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))))
(pow.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))) 3)
(pow.f64 (pow.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))))
(log1p.f64 (-.f64 (hypot.f64 1 (pow.f64 N -1/2)) 1))
(exp.f64 (log.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (pow.f64 N -1/2)))) 1)
(*.f64 1 (hypot.f64 1 (pow.f64 N -1/2)))
(*.f64 (hypot.f64 1 (pow.f64 N -1/2)) 1)
(*.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 N -1/2))) (cbrt.f64 (+.f64 1 (/.f64 1 N))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) (cbrt.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(*.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 N -1/2))) (sqrt.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 1 (pow.f64 N -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 N -3))) (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 N -2)) (/.f64 1 N))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 N -2))) (sqrt.f64 (-.f64 1 (/.f64 1 N))))
(pow.f64 (+.f64 1 (/.f64 1 N)) 1/2)
(pow.f64 (hypot.f64 1 (pow.f64 N -1/2)) 1)
(pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 N -1/2))) 3)
(pow.f64 (pow.f64 (hypot.f64 1 (pow.f64 N -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 N -1/2))) 2)
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))) 2)) (cbrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))) (sqrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))))
(fabs.f64 (hypot.f64 1 (pow.f64 N -1/2)))
(log.f64 (exp.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (pow.f64 N -1/2)))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 N -1/2)) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(hypot.f64 1 (pow.f64 N -1/2))
(log1p.f64 (expm1.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(exp.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 1 N)) 1/2))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(+.f64 0 (log1p.f64 (/.f64 1 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(-.f64 (log.f64 (+.f64 1 (pow.f64 N -3))) (log.f64 (-.f64 (+.f64 1 (pow.f64 N -2)) (/.f64 1 N))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N -2))) (log.f64 (-.f64 1 (/.f64 1 N))))
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) 3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 1) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))) 1)
(*.f64 1 (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 1))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (*.f64 -1 (log.f64 N)) (*.f64 N (+.f64 1 (*.f64 -1/2 N))))
(fma.f64 -1 (log.f64 N) (*.f64 N (+.f64 1 (*.f64 N -1/2))))
(-.f64 (*.f64 N (fma.f64 N -1/2 1)) (log.f64 N))
(+.f64 (*.f64 -1 (log.f64 N)) (*.f64 N (+.f64 1 (*.f64 N (-.f64 (*.f64 1/3 N) 1/2)))))
(fma.f64 -1 (log.f64 N) (*.f64 N (+.f64 1 (*.f64 N (fma.f64 1/3 N -1/2)))))
(-.f64 (*.f64 N (fma.f64 N (fma.f64 N 1/3 -1/2) 1)) (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 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.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 (+.f64 1 (/.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))
(/.f64 (+.f64 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(*.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 (+.f64 -1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N) -1) (neg.f64 N))
(*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 (*.f64 N (sqrt.f64 (/.f64 1 (log.f64 N)))) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))
(fma.f64 1/2 (*.f64 N (/.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (sqrt.f64 -1))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))
(+.f64 (*.f64 N (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 N (+.f64 1/2 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))
(fma.f64 N (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (*.f64 N (/.f64 (+.f64 1/2 (/.f64 1/4 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))) (sqrt.f64 -1)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))
(fma.f64 N (fma.f64 -1/2 (*.f64 N (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 (+.f64 1/2 (/.f64 -1/4 (log.f64 N))) (sqrt.f64 -1)))) (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))
(+.f64 (*.f64 N (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) (*.f64 N (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2))))) (sqrt.f64 -1)))) (*.f64 1/2 (*.f64 (/.f64 (*.f64 N (-.f64 1/3 (*.f64 -1/2 (/.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))
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(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 N -2))) (sqrt.f64 (-.f64 1 (/.f64 1 N))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 N -2))) (sqrt.f64 (+.f64 1 (/.f64 -1 N))))
(pow.f64 (+.f64 1 (/.f64 1 N)) 1/2)
(sqrt.f64 (+.f64 1 (/.f64 1 N)))
(pow.f64 (hypot.f64 1 (pow.f64 N -1/2)) 1)
(hypot.f64 1 (pow.f64 N -1/2))
(pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 N -1/2))) 3)
(hypot.f64 1 (pow.f64 N -1/2))
(pow.f64 (pow.f64 (hypot.f64 1 (pow.f64 N -1/2)) 3) 1/3)
(hypot.f64 1 (pow.f64 N -1/2))
(pow.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 N -1/2))) 2)
(hypot.f64 1 (pow.f64 N -1/2))
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(hypot.f64 1 (pow.f64 N -1/2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))) 2)) (cbrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))))
(hypot.f64 1 (pow.f64 N -1/2))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))) (sqrt.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2)))))
(hypot.f64 1 (pow.f64 N -1/2))
(fabs.f64 (hypot.f64 1 (pow.f64 N -1/2)))
(hypot.f64 1 (pow.f64 N -1/2))
(log.f64 (exp.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(hypot.f64 1 (pow.f64 N -1/2))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (pow.f64 N -1/2)))))
(hypot.f64 1 (pow.f64 N -1/2))
(cbrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 N -1/2)) 3))
(hypot.f64 1 (pow.f64 N -1/2))
(expm1.f64 (log1p.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(hypot.f64 1 (pow.f64 N -1/2))
(log1p.f64 (expm1.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(hypot.f64 1 (pow.f64 N -1/2))
(exp.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(hypot.f64 1 (pow.f64 N -1/2))
(exp.f64 (*.f64 (log1p.f64 (/.f64 1 N)) 1/2))
(sqrt.f64 (+.f64 1 (/.f64 1 N)))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(*.f64 2 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(+.f64 0 (log1p.f64 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 N -3))) (log.f64 (-.f64 (+.f64 1 (pow.f64 N -2)) (/.f64 1 N))))
(-.f64 (log1p.f64 (pow.f64 N -3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N -2) (/.f64 1 N)))))
(-.f64 (log1p.f64 (pow.f64 N -3)) (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 -1 N))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N -2))) (log.f64 (-.f64 1 (/.f64 1 N))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (/.f64 -1 N)))
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(log1p.f64 (/.f64 1 N))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(log1p.f64 (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) 4))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log1p.f64 (/.f64 1 N))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)))
(log1p.f64 (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) 3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(log1p.f64 (/.f64 1 N))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 1) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) 4))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(log1p.f64 (/.f64 1 N))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(fabs.f64 (log1p.f64 (/.f64 1 N)))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(log1p.f64 (/.f64 1 N))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(log1p.f64 (/.f64 1 N))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))) 1)
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 1 (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/3)
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3)
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 2)
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(fabs.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))))
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1/3))
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 1))
(cbrt.f64 (log1p.f64 (/.f64 1 N)))

eval395.0ms (5.1%)

Compiler

Compiled 13592 to 10984 computations (19.2% saved)

prune113.0ms (1.4%)

Pruning

20 alts after pruning (12 fresh and 8 done)

PrunedKeptTotal
New7596765
Fresh268
Picked145
Done044
Total76220782
Accuracy
100.0%
Counts
782 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.2%
(pow.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3) 2)
94.2%
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
95.7%
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))) 2)
97.8%
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
92.3%
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
92.6%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
96.4%
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))
95.0%
(/.f64 (+.f64 1 (/.f64 (/.f64 (+.f64 (*.f64 N -1/2) 1/3) N) N)) N)
95.0%
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
94.9%
(/.f64 (+.f64 1 (+.f64 1 (-.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 1))) N)
92.5%
(/.f64 (+.f64 1 (+.f64 1 (-.f64 (/.f64 -1/2 N) 1))) N)
83.6%
(/.f64 1 N)
99.7%
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (/.f64 -1 N)))
94.9%
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))
92.5%
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N)))
27.1%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 1 N)))))
99.8%
(log1p.f64 (/.f64 1 N))
28.1%
(log.f64 (/.f64 (+.f64 N 1) N))
95.3%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
99.0%
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
Compiler

Compiled 352 to 284 computations (19.3% saved)

localize557.0ms (7.2%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.8%
(sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N)))
99.8%
(+.f64 (/.f64 1/4 N) -1/3)
99.5%
(/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)
99.2%
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))) 2)
99.9%
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))
99.8%
(/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)
99.8%
(+.f64 (/.f64 1/4 N) -1/3)
99.5%
(/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)
100.0%
(+.f64 (/.f64 1/3 N) -1/2)
99.9%
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))
99.8%
(/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)
99.4%
(/.f64 1/3 N)
99.8%
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N)))
99.9%
(log1p.f64 (neg.f64 (pow.f64 N -2)))
99.8%
(log1p.f64 (/.f64 -1 N))
99.8%
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (/.f64 -1 N)))
Compiler

Compiled 280 to 206 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 354.0ms
Operation ival-div, time spent: 117.0ms, 33.0% of total-time
Operation ival-add, time spent: 59.0ms, 17.0% of total-time
Operation composed, time spent: 48.0ms, 14.0% of total-time
Operation ival-sub, time spent: 40.0ms, 11.0% of total-time
Operation ival-log, time spent: 37.0ms, 10.0% of total-time
Operation ival-pow, time spent: 23.0ms, 6.0% of total-time
Operation const, time spent: 14.0ms, 4.0% of total-time
Operation ival-neg, time spent: 6.0ms, 2.0% of total-time
Operation ival-sqrt, time spent: 5.0ms, 1.0% of total-time
Operation ival-mult, time spent: 4.0ms, 1.0% of total-time

series30.0ms (0.4%)

Counts
15 → 180
Calls
Call 1
Inputs
#<alt (-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (/.f64 -1 N)))>
#<alt (log1p.f64 (/.f64 -1 N))>
#<alt (log1p.f64 (neg.f64 (pow.f64 N -2)))>
#<alt (*.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N)))>
#<alt (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)>
#<alt (*.f64 (/.f64 1 N) (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))>
#<alt (+.f64 (/.f64 1/3 N) -1/2)>
#<alt (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)>
#<alt (+.f64 (/.f64 1/4 N) -1/3)>
#<alt (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)>
#<alt (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))>
#<alt (pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))) 2)>
#<alt (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)>
#<alt (+.f64 (/.f64 1/4 N) -1/3)>
#<alt (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N)))>
Outputs
#<alt (-.f64 (*.f64 -2 (log.f64 N)) (*.f64 -1 (log.f64 N)))>
#<alt (-.f64 (+.f64 N (*.f64 -2 (log.f64 N))) (*.f64 -1 (log.f64 N)))>
#<alt (-.f64 (+.f64 (*.f64 -2 (log.f64 N)) (*.f64 N (+.f64 1 (*.f64 -1/2 N)))) (*.f64 -1 (log.f64 N)))>
#<alt (-.f64 (+.f64 (*.f64 -2 (log.f64 N)) (*.f64 N (+.f64 1 (*.f64 N (-.f64 (*.f64 1/3 N) 1/2))))) (*.f64 -1 (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 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 N)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 N) (*.f64 -1 (log.f64 N))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 N (-.f64 (*.f64 -1/2 N) 1))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 N (-.f64 (*.f64 N (-.f64 (*.f64 -1/3 N) 1/2)) 1))))>
#<alt (/.f64 -1 N)>
#<alt (*.f64 -1 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 N))) N))>
#<alt (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N)) 1) N)>
#<alt (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/3 (*.f64 1/4 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 1 (*.f64 1/2 (/.f64 1 N)))) N)>
#<alt (/.f64 -1 N)>
#<alt (*.f64 -1 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 N))) N))>
#<alt (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (/.f64 1/3 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1 N)))) N))>
#<alt (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)) 1/2) N))) N))>
#<alt (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 N)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 N)) (*.f64 -1 (pow.f64 N 2))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 N)) (*.f64 (pow.f64 N 2) (-.f64 (*.f64 -1/2 (pow.f64 N 2)) 1))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 N)) (*.f64 (pow.f64 N 2) (-.f64 (*.f64 (pow.f64 N 2) (-.f64 (*.f64 -1/3 (pow.f64 N 2)) 1/2)) 1))))>
#<alt (/.f64 -1 (pow.f64 N 2))>
#<alt (*.f64 -1 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (pow.f64 N 2)))>
#<alt (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/3 (/.f64 1 (pow.f64 N 2)))) (pow.f64 N 2))) 1) (pow.f64 N 2))>
#<alt (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/3 (*.f64 1/4 (/.f64 1 (pow.f64 N 2)))) (pow.f64 N 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (pow.f64 N 2))>
#<alt (/.f64 -1 (pow.f64 N 2))>
#<alt (*.f64 -1 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (pow.f64 N 2)))>
#<alt (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/3 (/.f64 1 (pow.f64 N 2)))) (pow.f64 N 2))) 1) (pow.f64 N 2))>
#<alt (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/3 (*.f64 1/4 (/.f64 1 (pow.f64 N 2)))) (pow.f64 N 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 N 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 1/3 (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 -1/2 N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)>
#<alt (/.f64 -1/2 N)>
#<alt (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))>
#<alt (/.f64 1/3 (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 1 N)>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (/.f64 1/3 N)>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) N)>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) N)>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) N)>
#<alt -1/2>
#<alt (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)>
#<alt (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)>
#<alt (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)>
#<alt -1/2>
#<alt (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)>
#<alt (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)>
#<alt (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)>
#<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 -1/3 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/4 (*.f64 -1/3 N)) (pow.f64 N 2))>
#<alt (/.f64 -1/3 N)>
#<alt (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)>
#<alt (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)>
#<alt (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)>
#<alt (/.f64 -1/3 N)>
#<alt (*.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))>
#<alt (/.f64 1/4 N)>
#<alt (/.f64 (+.f64 1/4 (*.f64 -1/3 N)) N)>
#<alt (/.f64 (+.f64 1/4 (*.f64 -1/3 N)) N)>
#<alt (/.f64 (+.f64 1/4 (*.f64 -1/3 N)) N)>
#<alt -1/3>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)>
#<alt -1/3>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)>
#<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 1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 N 4)))>
#<alt (/.f64 (+.f64 (*.f64 -1/3 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/4 (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 N 4))>
#<alt (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 N (+.f64 (*.f64 -1/3 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1/2 (*.f64 N (pow.f64 (sqrt.f64 -1) 2)))))) (pow.f64 N 4))>
#<alt (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 N (+.f64 (*.f64 -1/3 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 N (+.f64 (*.f64 -1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))))))) (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 (pow.f64 (sqrt.f64 -1) 2) N))>
#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) N)) (pow.f64 (sqrt.f64 -1) 2)) N))>
#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sqrt.f64 -1) 2) N)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))) N)) (pow.f64 (sqrt.f64 -1) 2)) N))>
#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) N)) (*.f64 1/3 (pow.f64 (sqrt.f64 -1) 2))) N)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))) N)) (pow.f64 (sqrt.f64 -1) 2)) N))>
#<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 -1/3 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/4 (*.f64 -1/3 N)) (pow.f64 N 2))>
#<alt (/.f64 -1/3 N)>
#<alt (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)>
#<alt (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)>
#<alt (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)>
#<alt (/.f64 -1/3 N)>
#<alt (*.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))>
#<alt (*.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))>
#<alt (/.f64 1/4 N)>
#<alt (/.f64 (+.f64 1/4 (*.f64 -1/3 N)) N)>
#<alt (/.f64 (+.f64 1/4 (*.f64 -1/3 N)) N)>
#<alt (/.f64 (+.f64 1/4 (*.f64 -1/3 N)) N)>
#<alt -1/3>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)>
#<alt -1/3>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)>
#<alt (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 N 2)))>
#<alt (/.f64 (+.f64 (*.f64 -1/3 (*.f64 N (sqrt.f64 -1))) (*.f64 1/2 (sqrt.f64 -1))) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 (*.f64 1/2 (sqrt.f64 -1)) (*.f64 N (+.f64 (*.f64 -1/3 (sqrt.f64 -1)) (*.f64 7/18 (*.f64 N (sqrt.f64 -1)))))) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 (*.f64 1/2 (sqrt.f64 -1)) (*.f64 N (+.f64 (*.f64 -1/3 (sqrt.f64 -1)) (*.f64 N (+.f64 (*.f64 -20/27 (*.f64 N (sqrt.f64 -1))) (*.f64 7/18 (sqrt.f64 -1))))))) (pow.f64 N 2))>
#<alt (sqrt.f64 (/.f64 1 N))>
#<alt (+.f64 (sqrt.f64 (/.f64 1 N)) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 N 3)))))>
#<alt (+.f64 (sqrt.f64 (/.f64 1 N)) (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/6 (sqrt.f64 (/.f64 1 (pow.f64 N 5))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 1 N)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 7))) (+.f64 1/4 (*.f64 1/16 N)))) (+.f64 (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/6 (sqrt.f64 (/.f64 1 (pow.f64 N 5)))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))>
#<alt (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2)))>
#<alt (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 5))) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))))>
#<alt (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 N)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 1/4 (*.f64 -1/16 N))))) (*.f64 1/6 (*.f64 (sqrt.f64 N) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 N 3))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))))>
Calls

45 calls:

TimeVariablePointExpression
1.0ms
N
@0
(pow (sqrt (/ (- -1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (neg N))) 2)
1.0ms
N
@-inf
(sqrt (/ (- -1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (neg N)))
1.0ms
N
@inf
(log (+ 1 (neg (pow N -2))))
1.0ms
N
@-inf
(pow (sqrt (/ (- -1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (neg N))) 2)
1.0ms
N
@-inf
(/ (+ (/ 1/4 N) -1/3) N)

rewrite166.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
374×frac-times
298×log1p-expm1-u
298×expm1-log1p-u
285×add-exp-log
285×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039478
1678458
Stop Event
node limit
Counts
15 → 426
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (/.f64 -1 N)))
(log1p.f64 (/.f64 -1 N))
(log1p.f64 (neg.f64 (pow.f64 N -2)))
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N)))
(/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))
(+.f64 (/.f64 1/3 N) -1/2)
(/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)
(+.f64 (/.f64 1/4 N) -1/3)
(/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))) 2)
(/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)
(+.f64 (/.f64 1/4 N) -1/3)
(sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N)))
Outputs
(+.f64 (log1p.f64 (pow.f64 N -2)) (neg.f64 (log1p.f64 (/.f64 -1 N))))
(+.f64 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 -1 N))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 -1 N)))) (sqrt.f64 (log1p.f64 (/.f64 -1 N))) (log1p.f64 (/.f64 -1 N))))
(+.f64 (fma.f64 1 (log1p.f64 (pow.f64 N -2)) (neg.f64 (*.f64 (log1p.f64 (/.f64 -1 N)) 1))) (fma.f64 (neg.f64 (log1p.f64 (/.f64 -1 N))) 1 (*.f64 (log1p.f64 (/.f64 -1 N)) 1)))
(+.f64 (fma.f64 1 (log1p.f64 (pow.f64 N -2)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (/.f64 -1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 -1 N))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (/.f64 -1 N)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 -1 N))) 2) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 -1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 -1 N))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -2))) 2) (cbrt.f64 (log1p.f64 (pow.f64 N -2))) (neg.f64 (*.f64 (log1p.f64 (/.f64 -1 N)) 1))) (fma.f64 (neg.f64 (log1p.f64 (/.f64 -1 N))) 1 (*.f64 (log1p.f64 (/.f64 -1 N)) 1)))
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(/.f64 (-.f64 (/.f64 1/16 (pow.f64 N 2)) 1/9) (-.f64 (/.f64 1/4 N) -1/3))
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(/.f64 (neg.f64 (-.f64 (/.f64 1/16 (pow.f64 N 2)) 1/9)) (neg.f64 (-.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 -1/3 (/.f64 1/4 N)))))
(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)
(sqrt.f64 (pow.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 (/.f64 1/4 N) -1/3)
(fma.f64 1/4 (/.f64 -1 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 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N)))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N))))
(*.f64 (sqrt.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N))) (pow.f64 N -1/2))
(*.f64 (pow.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N) 1/4) (pow.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N))))
(/.f64 1 (sqrt.f64 (/.f64 N (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)))))
(/.f64 (sqrt.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N))) (sqrt.f64 N))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)))) (sqrt.f64 N))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)))) (neg.f64 (sqrt.f64 N)))
(pow.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N) 1/4) 2)
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N))) 1))

simplify241.0ms (3.1%)

Algorithm
egg-herbie
Rules
796×associate-*r*
716×associate-*l*
646×fma-define
436×associate-*r/
432×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0106826702
1270524853
Stop Event
node limit
Counts
606 → 695
Calls
Call 1
Inputs
(-.f64 (*.f64 -2 (log.f64 N)) (*.f64 -1 (log.f64 N)))
(-.f64 (+.f64 N (*.f64 -2 (log.f64 N))) (*.f64 -1 (log.f64 N)))
(-.f64 (+.f64 (*.f64 -2 (log.f64 N)) (*.f64 N (+.f64 1 (*.f64 -1/2 N)))) (*.f64 -1 (log.f64 N)))
(-.f64 (+.f64 (*.f64 -2 (log.f64 N)) (*.f64 N (+.f64 1 (*.f64 N (-.f64 (*.f64 1/3 N) 1/2))))) (*.f64 -1 (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))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 N)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 N) (*.f64 -1 (log.f64 N))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 N (-.f64 (*.f64 -1/2 N) 1))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 N (-.f64 (*.f64 N (-.f64 (*.f64 -1/3 N) 1/2)) 1))))
(/.f64 -1 N)
(*.f64 -1 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 N))) N))
(/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N)) 1) N)
(/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/3 (*.f64 1/4 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 1 (*.f64 1/2 (/.f64 1 N)))) N)
(/.f64 -1 N)
(*.f64 -1 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 N))) N))
(*.f64 -1 (/.f64 (+.f64 1 (+.f64 (/.f64 1/3 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1 N)))) N))
(*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)) 1/2) N))) N))
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 N)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 N)) (*.f64 -1 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 N)) (*.f64 (pow.f64 N 2) (-.f64 (*.f64 -1/2 (pow.f64 N 2)) 1))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 N)) (*.f64 (pow.f64 N 2) (-.f64 (*.f64 (pow.f64 N 2) (-.f64 (*.f64 -1/3 (pow.f64 N 2)) 1/2)) 1))))
(/.f64 -1 (pow.f64 N 2))
(*.f64 -1 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (pow.f64 N 2)))
(/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/3 (/.f64 1 (pow.f64 N 2)))) (pow.f64 N 2))) 1) (pow.f64 N 2))
(/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/3 (*.f64 1/4 (/.f64 1 (pow.f64 N 2)))) (pow.f64 N 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (pow.f64 N 2))
(/.f64 -1 (pow.f64 N 2))
(*.f64 -1 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (pow.f64 N 2)))
(/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/3 (/.f64 1 (pow.f64 N 2)))) (pow.f64 N 2))) 1) (pow.f64 N 2))
(/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/3 (*.f64 1/4 (/.f64 1 (pow.f64 N 2)))) (pow.f64 N 4))) (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (pow.f64 N 2))
(/.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 1/3 (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 -1/2 N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)
(/.f64 -1/2 N)
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 3))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
(/.f64 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 1 N)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(/.f64 1/3 N)
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) N)
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) N)
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) N)
-1/2
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
-1/2
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)
(/.f64 1/4 (pow.f64 N 2))
(/.f64 (+.f64 1/4 (*.f64 -1/3 N)) (pow.f64 N 2))
(/.f64 (+.f64 1/4 (*.f64 -1/3 N)) (pow.f64 N 2))
(/.f64 (+.f64 1/4 (*.f64 -1/3 N)) (pow.f64 N 2))
(/.f64 -1/3 N)
(/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)
(/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)
(/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)
(/.f64 -1/3 N)
(*.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))
(*.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))
(*.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))
(/.f64 1/4 N)
(/.f64 (+.f64 1/4 (*.f64 -1/3 N)) N)
(/.f64 (+.f64 1/4 (*.f64 -1/3 N)) N)
(/.f64 (+.f64 1/4 (*.f64 -1/3 N)) N)
-1/3
(-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)
(-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)
(-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)
-1/3
(-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)
(-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)
(-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)
(/.f64 -1/4 (pow.f64 N 3))
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 3))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4) (pow.f64 N 3))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4) (pow.f64 N 3))
(/.f64 -1/2 N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 -1/2 N)
(*.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))
(*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))) N))
(*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))) N))
(/.f64 -1/4 (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4) (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))
(/.f64 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)
(/.f64 1 N)
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))
(*.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 N 4)))
(/.f64 (+.f64 (*.f64 -1/3 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/4 (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 N 4))
(/.f64 (+.f64 (*.f64 1/4 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 N (+.f64 (*.f64 -1/3 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1/2 (*.f64 N (pow.f64 (sqrt.f64 -1) 2)))))) (pow.f64 N 4))
(/.f64 (+.f64 (*.f64 1/4 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 N (+.f64 (*.f64 -1/3 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 N (+.f64 (*.f64 -1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))))))) (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 (pow.f64 (sqrt.f64 -1) 2) N))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) N)) (pow.f64 (sqrt.f64 -1) 2)) N))
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(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (neg.f64 (/.f64 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N) N)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N))) 1)
(*.f64 1 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N))
(*.f64 (+.f64 (/.f64 1/4 N) -1/3) (/.f64 -1 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)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 (/.f64 1/4 N) -1/3) (sqrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 (/.f64 1/4 N) -1/3) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/4 N) -1/3)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 1/4 N) -1/3)) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/4 N) -1/3)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/4 N) -1/3)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 (/.f64 1/4 N) -1/3)) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/4 N) -1/3)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/4 N) -1/3)) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/4 N) -1/3)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/4 N) -1/3)) (cbrt.f64 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)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N) 2))
(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 (/.f64 (/.f64 1/16 (pow.f64 N 2)) (-.f64 (/.f64 1/4 N) -1/3)) (/.f64 1/9 (-.f64 (/.f64 1/4 N) -1/3)))
(*.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 (/.f64 1/64 (pow.f64 N 3)) -1/27) (+.f64 (/.f64 1/16 (pow.f64 N 2)) (-.f64 1/9 (*.f64 (/.f64 1/4 N) -1/3))))
(/.f64 (-.f64 (/.f64 1/16 (pow.f64 N 2)) 1/9) (-.f64 (/.f64 1/4 N) -1/3))
(/.f64 (neg.f64 (+.f64 (/.f64 1/64 (pow.f64 N 3)) -1/27)) (neg.f64 (+.f64 (/.f64 1/16 (pow.f64 N 2)) (-.f64 1/9 (*.f64 (/.f64 1/4 N) -1/3)))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/16 (pow.f64 N 2)) 1/9)) (neg.f64 (-.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 -1/3 (/.f64 1/4 N)))))
(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)
(sqrt.f64 (pow.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 (/.f64 1/4 N) -1/3)
(fma.f64 1/4 (/.f64 -1 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 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N)))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N))))
(*.f64 (sqrt.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N))) (pow.f64 N -1/2))
(*.f64 (pow.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N) 1/4) (pow.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N))))
(/.f64 1 (sqrt.f64 (/.f64 N (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)))))
(/.f64 (sqrt.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N))) (sqrt.f64 N))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)))) (sqrt.f64 N))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)))) (neg.f64 (sqrt.f64 N)))
(pow.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N) 1/4) 2)
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N))) 1))
Outputs
(-.f64 (*.f64 -2 (log.f64 N)) (*.f64 -1 (log.f64 N)))
(neg.f64 (log.f64 N))
(-.f64 (+.f64 N (*.f64 -2 (log.f64 N))) (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(-.f64 (+.f64 (*.f64 -2 (log.f64 N)) (*.f64 N (+.f64 1 (*.f64 -1/2 N)))) (*.f64 -1 (log.f64 N)))
(-.f64 (fma.f64 -2 (log.f64 N) (*.f64 N (+.f64 1 (*.f64 N -1/2)))) (neg.f64 (log.f64 N)))
(+.f64 (*.f64 N (fma.f64 N -1/2 1)) (neg.f64 (log.f64 N)))
(-.f64 (+.f64 (*.f64 -2 (log.f64 N)) (*.f64 N (+.f64 1 (*.f64 N (-.f64 (*.f64 1/3 N) 1/2))))) (*.f64 -1 (log.f64 N)))
(-.f64 (fma.f64 -2 (log.f64 N) (*.f64 N (+.f64 1 (*.f64 N (fma.f64 1/3 N -1/2))))) (neg.f64 (log.f64 N)))
(+.f64 (*.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 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.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 -1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) 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 -1/2 (/.f64 1/3 N)) N) -1) N))
(/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) (neg.f64 N))) 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 (-.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 -1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) N)
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 N)))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 N))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 N) (*.f64 -1 (log.f64 N))))
(+.f64 (log.f64 -1) (*.f64 -1 (+.f64 N (log.f64 N))))
(-.f64 (-.f64 (log.f64 -1) N) (log.f64 N))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 N (-.f64 (*.f64 -1/2 N) 1))))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 N) (*.f64 N (fma.f64 -1/2 N -1))))
(+.f64 (log.f64 -1) (-.f64 (*.f64 N (fma.f64 N -1/2 -1)) (log.f64 N)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 N (-.f64 (*.f64 N (-.f64 (*.f64 -1/3 N) 1/2)) 1))))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 N) (*.f64 N (fma.f64 N (fma.f64 -1/3 N -1/2) -1))))
(+.f64 (log.f64 -1) (-.f64 (*.f64 N (fma.f64 N (fma.f64 N -1/3 -1/2) -1)) (log.f64 N)))
(/.f64 -1 N)
(*.f64 -1 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 N))) N))
(neg.f64 (/.f64 (+.f64 1 (/.f64 1/2 N)) N))
(/.f64 (+.f64 -1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N)) 1) N)
(/.f64 (fma.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1/3 N)) N) -1) N)
(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 -1/3 N)) N) -1) N)
(/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/3 (*.f64 1/4 (/.f64 1 N))) (pow.f64 N 2))) (+.f64 1 (*.f64 1/2 (/.f64 1 N)))) N)
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 1/3 (/.f64 1/4 N)) (pow.f64 N 2))) (+.f64 1 (/.f64 1/2 N))) N)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 -1/3 (/.f64 -1/4 N)) N) -1/2) N) 1) N)
(/.f64 -1 N)
(*.f64 -1 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 N))) N))
(neg.f64 (/.f64 (+.f64 1 (/.f64 1/2 N)) N))
(/.f64 (+.f64 -1 (/.f64 -1/2 N)) N)
(*.f64 -1 (/.f64 (+.f64 1 (+.f64 (/.f64 1/3 (pow.f64 N 2)) (*.f64 1/2 (/.f64 1 N)))) N))
(neg.f64 (/.f64 (+.f64 1 (+.f64 (/.f64 1/2 N) (/.f64 1/3 (pow.f64 N 2)))) N))
(/.f64 (+.f64 1 (+.f64 (/.f64 1/2 N) (/.f64 1/3 (pow.f64 N 2)))) (neg.f64 N))
(*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)) 1/2) N))) N))
(neg.f64 (/.f64 (+.f64 1 (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 1/3 (/.f64 1/4 N)) N) -1/2) N))) N))
(/.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 -1/3 (/.f64 -1/4 N)) N) -1/2) N)) (neg.f64 N))
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 N)))
(+.f64 (*.f64 -2 (log.f64 N)) (log.f64 -1))
(fma.f64 -2 (log.f64 N) (log.f64 -1))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 N)) (*.f64 -1 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (fma.f64 -2 (log.f64 N) (neg.f64 (pow.f64 N 2))))
(-.f64 (fma.f64 -2 (log.f64 N) (log.f64 -1)) (pow.f64 N 2))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 N)) (*.f64 (pow.f64 N 2) (-.f64 (*.f64 -1/2 (pow.f64 N 2)) 1))))
(+.f64 (log.f64 -1) (fma.f64 -2 (log.f64 N) (*.f64 (pow.f64 N 2) (fma.f64 -1/2 (pow.f64 N 2) -1))))
(+.f64 (fma.f64 -2 (log.f64 N) (log.f64 -1)) (*.f64 (pow.f64 N 2) (fma.f64 -1/2 (pow.f64 N 2) -1)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -2 (log.f64 N)) (*.f64 (pow.f64 N 2) (-.f64 (*.f64 (pow.f64 N 2) (-.f64 (*.f64 -1/3 (pow.f64 N 2)) 1/2)) 1))))
(+.f64 (log.f64 -1) (fma.f64 -2 (log.f64 N) (*.f64 (pow.f64 N 2) (fma.f64 (pow.f64 N 2) (fma.f64 -1/3 (pow.f64 N 2) -1/2) -1))))
(+.f64 (log.f64 -1) (fma.f64 (pow.f64 N 2) (fma.f64 (pow.f64 N 2) (fma.f64 (pow.f64 N 2) -1/3 -1/2) -1) (*.f64 -2 (log.f64 N))))
(/.f64 -1 (pow.f64 N 2))
(*.f64 -1 (/.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (pow.f64 N 2)))
(neg.f64 (/.f64 (+.f64 1 (/.f64 1/2 (pow.f64 N 2))) (pow.f64 N 2)))
(/.f64 (+.f64 1 (/.f64 1/2 (pow.f64 N 2))) (neg.f64 (pow.f64 N 2)))
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(sqrt.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) N))) 1))
(sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) N))
(sqrt.f64 (/.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))

eval508.0ms (6.5%)

Compiler

Compiled 20103 to 15599 computations (22.4% saved)

prune418.0ms (5.4%)

Pruning

21 alts after pruning (11 fresh and 10 done)

PrunedKeptTotal
New9404944
Fresh077
Picked235
Done178
Total94321964
Accuracy
100.0%
Counts
964 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.2%
(pow.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3) 2)
94.2%
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
97.8%
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
92.3%
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
92.6%
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
96.4%
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (+.f64 2/3 (/.f64 1/4 N)) -1) N)) N)) (neg.f64 N))
95.0%
(/.f64 (+.f64 1 (/.f64 (/.f64 (+.f64 (*.f64 N -1/2) 1/3) N) N)) N)
96.4%
(/.f64 (+.f64 1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) N)
95.0%
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
92.5%
(/.f64 (+.f64 1 (+.f64 1 (-.f64 (/.f64 -1/2 N) 1))) N)
83.6%
(/.f64 1 N)
99.7%
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (/.f64 -1 N)))
94.9%
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))
92.5%
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N)))
96.3%
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N) 2)) (/.f64 -1 (*.f64 N (+.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)))))
96.3%
(*.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (/.f64 -1 N))
27.1%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 1 N)))))
99.8%
(log1p.f64 (/.f64 1 N))
28.1%
(log.f64 (/.f64 (+.f64 N 1) N))
95.3%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
99.0%
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
Compiler

Compiled 583 to 450 computations (22.8% saved)

regimes27.0ms (0.3%)

Counts
31 → 1
Calls
Call 1
Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N)))
(/.f64 (+.f64 1 (+.f64 1 (-.f64 (/.f64 -1/2 N) 1))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))
(/.f64 (+.f64 1 (/.f64 (/.f64 (+.f64 (*.f64 N -1/2) 1/3) N) N)) N)
(/.f64 (+.f64 1 (+.f64 1 (-.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 1))) N)
(/.f64 (+.f64 1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) N)
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))
(*.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (/.f64 -1 N))
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (+.f64 2/3 (/.f64 1/4 N)) -1) N)) N)) (neg.f64 N))
(log1p.f64 (/.f64 1 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) -1)
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N) 2)) (/.f64 -1 (*.f64 N (+.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 1 N)))))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))) 2)
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (/.f64 -1 N)))
(pow.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3) 2)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
Outputs
(log1p.f64 (/.f64 1 N))
Calls

2 calls:

18.0ms
N
7.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Results
AccuracySegmentsBranch
99.8%1N
99.8%1(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N)))
(/.f64 (+.f64 1 (+.f64 1 (-.f64 (/.f64 -1/2 N) 1))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))
(/.f64 (+.f64 1 (/.f64 (/.f64 (+.f64 (*.f64 N -1/2) 1/3) N) N)) N)
(/.f64 (+.f64 1 (+.f64 1 (-.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 1))) N)
(/.f64 (+.f64 1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) N)
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))
(*.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (/.f64 -1 N))
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (+.f64 2/3 (/.f64 1/4 N)) -1) N)) N)) (neg.f64 N))
Outputs
(/.f64 (+.f64 1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) N)
Calls

1 calls:

6.0ms
N
Results
AccuracySegmentsBranch
96.4%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N)))
(/.f64 (+.f64 1 (+.f64 1 (-.f64 (/.f64 -1/2 N) 1))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))
(/.f64 (+.f64 1 (/.f64 (/.f64 (+.f64 (*.f64 N -1/2) 1/3) N) N)) N)
(/.f64 (+.f64 1 (+.f64 1 (-.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 1))) N)
Outputs
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
Calls

1 calls:

7.0ms
N
Results
AccuracySegmentsBranch
95.0%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

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

1 calls:

4.0ms
N
Results
AccuracySegmentsBranch
92.6%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
83.6%1N
Compiler

Compiled 2 to 1 computations (50% saved)

simplify10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
029144
142144
256144
370144
487144
596144
6100144
7101144
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(log1p.f64 (/.f64 1 N))
(/.f64 (+.f64 1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 1 N)
Outputs
(log1p.f64 (/.f64 1 N))
(/.f64 (+.f64 1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 1 N)
Compiler

Compiled 45 to 34 computations (24.4% saved)

soundness1.2s (15.2%)

Rules
1608×fma-neg
1314×fma-neg
1269×log1p-expm1-u
998×unpow-prod-down
862×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091617179884885
1215517179883560
2758017179883560
031216
1496190
26970190
027255
1428243
25749243
0106826702
1270524853
045412696
1100212058
2306511806
01358
118158
2175858
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 574 to 457 computations (20.4% saved)

end0.0ms (0%)

preprocess54.0ms (0.7%)

Compiler

Compiled 108 to 80 computations (25.9% saved)

Profiling

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