2log (problem 3.3.6)

Time bar (total: 10.2s)

analyze0.0ms (0%)

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

Compiled 15 to 11 computations (26.7% saved)

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

sample1.6s (15.7%)

Results
1.5s8255×256valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 796.0ms
Operation ival-log, time spent: 431.0ms, 54.0% of total-time
Operation ival-add, time spent: 201.0ms, 25.0% of total-time
Operation ival-sub, time spent: 51.0ms, 6.0% of total-time
Operation ival->, time spent: 49.0ms, 6.0% of total-time
Operation ival-<, time spent: 34.0ms, 4.0% of total-time
Operation const, time spent: 19.0ms, 2.0% of total-time
Operation ival-and, time spent: 12.0ms, 2.0% of total-time
Bogosity

preprocess427.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
1754×fma-define
1686×fma-neg
986×distribute-rgt-in
946×distribute-lft-in
774×associate-+r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2490-1(17.40131083362845)(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
00-0-1
00-0-(log.f64 N)
00-0-(log.f64 (+.f64 N 1))
00-0-(+.f64 N 1)
00-0-N
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))cancellation248
Confusion
Predicted +Predicted -
+2481
-07
Precision
1.0
Recall
0.9959839357429718
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
017128
133104
265100
3125100
4272100
5525100
679796
7128396
8202496
9346896
10414196
11416996
12419396
13419396
14627396
15671096
16706296
17706296
18746596
19799996
Stop Event
1×node limit
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)))
(-.f64 (log.f64 (+.f64 N -1)) (log.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)))
(-.f64 (log.f64 N) (log.f64 (+.f64 N -1)))
Compiler

Compiled 56 to 38 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
Operation ival-log, time spent: 37.0ms, 72.0% of total-time
Operation ival-add, time spent: 10.0ms, 19.0% of total-time
Operation ival-sub, time spent: 3.0ms, 6.0% of total-time
Operation const, time spent: 2.0ms, 4.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶23.6%
(-.f64 (log1p.f64 N) (log.f64 N))
▶23.6%
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize71.0ms (0.7%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓23.6%
(-.f64 (log1p.f64 N) (log.f64 N))
✓100.0%
(log.f64 (+.f64 N 1))
✓23.6%
(-.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: 41.0ms
Operation ival-log, time spent: 23.0ms, 56.0% of total-time
Operation composed, time spent: 8.0ms, 19.0% of total-time
Operation ival-add, time spent: 6.0ms, 15.0% of total-time
Operation ival-sub, time spent: 3.0ms, 7.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
N
@inf
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
1.0ms
N
@-inf
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
1.0ms
N
@0
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
1.0ms
N
@-inf
(log.f64 (+.f64 N 1))
1.0ms
N
@inf
(log.f64 (+.f64 N 1))

rewrite240.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1042×unpow-prod-down
862×prod-diff
624×log1p-expm1-u
624×expm1-log1p-u
558×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01350
118150
2175850
Stop Event
1×node limit
Counts
3 → 274
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))
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 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 3) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3))
(*.f64 (pow.f64 (*.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))))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) 1))
(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)))
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(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))

simplify147.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1182×cancel-sign-sub-inv
1032×unswap-sqr
626×times-frac
540×log-prod
476×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042510734
1103310117
235529000
Stop Event
1×node limit
Counts
310 → 269
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
N
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (+.f64 (*.f64 -1/4 (pow.f64 N 4)) (*.f64 1/3 (pow.f64 N 3)))))
(*.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 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (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 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.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 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 3) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) 1/3))
(*.f64 (pow.f64 (*.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))))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) 1))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
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(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) 1))
(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))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (-.f64 (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))) (log.f64 N)))
(+.f64 (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))) (-.f64 N (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
N
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(fma.f64 -1/2 (pow.f64 N 2) N)
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 (*.f64 1/3 (pow.f64 N 3)) (fma.f64 -1/2 (pow.f64 N 2) N))
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (+.f64 (*.f64 -1/4 (pow.f64 N 4)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (fma.f64 -1/4 (pow.f64 N 4) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1/2 (pow.f64 N 2) (fma.f64 1/3 (pow.f64 N 3) (*.f64 (pow.f64 N 4) -1/4))))
(*.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 (/.f64 1 (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 N) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (log.f64 N) (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))))
(+.f64 (log.f64 N) (+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (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) (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 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 N)) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 1 N) (log.f64 (/.f64 -1 N))) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 N)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))))
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (*.f64 -1/2 (pow.f64 N 2)) (-.f64 N (log.f64 N)))
(-.f64 (fma.f64 -1/2 (pow.f64 N 2) N) (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (-.f64 (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))) (log.f64 N)))
(+.f64 (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))) (-.f64 N (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
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(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)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 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)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 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)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.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)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (*.f64 (neg.f64 (log.f64 N)) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 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)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 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)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 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)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 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)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(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)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(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)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))
(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)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(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)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(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)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(fma.f64 -1 (log.f64 N) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 N))) 2) (cbrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 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)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 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)))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 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) (log.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))

eval71.0ms (0.7%)

Compiler

Compiled 3880 to 2003 computations (48.4% saved)

prune47.0ms (0.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2609269
Fresh000
Picked202
Done000
Total2629271
Accuracy
99.9%
Counts
271 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶84.6%
(/.f64 1 N)
▶96.4%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
97.6%
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
96.4%
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
98.4%
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 5)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
▶98.3%
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
▶27.1%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
▶99.8%
(log1p.f64 (/.f64 1 N))
26.6%
(log.f64 (/.f64 (+.f64 N 1) N))
Compiler

Compiled 220 to 180 computations (18.2% saved)

localize511.0ms (5%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
✓99.8%
(log1p.f64 (/.f64 1 N))
✓99.3%
(pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)
✓99.2%
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
✓99.0%
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
✓99.8%
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
✓99.8%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
✓99.6%
(/.f64 1/2 (pow.f64 N 2))
✓99.4%
(/.f64 1/3 (pow.f64 N 3))
✓100.0%
(/.f64 N (+.f64 N 1))
✓27.2%
(log.f64 (/.f64 N (+.f64 N 1)))
✓99.8%
(log1p.f64 (/.f64 1 N))
Compiler

Compiled 128 to 97 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 419.0ms
Operation ival-div, time spent: 143.0ms, 34.0% of total-time
Operation ival-log, time spent: 77.0ms, 18.0% of total-time
Operation composed, time spent: 73.0ms, 17.0% of total-time
Operation ival-add, time spent: 55.0ms, 13.0% of total-time
Operation ival-pow, time spent: 45.0ms, 11.0% of total-time
Operation ival-cbrt, time spent: 10.0ms, 2.0% of total-time
Operation const, time spent: 10.0ms, 2.0% of total-time
Operation ival-sub, time spent: 3.0ms, 1.0% of total-time
Operation ival-mult, time spent: 2.0ms, 0.0% of total-time
Operation ival-neg, time spent: 1.0ms, 0.0% of total-time

series50.0ms (0.5%)

Counts
11 → 100
Calls

33 calls:

TimeVariablePointExpression
23.0ms
N
@0
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
2.0ms
N
@0
(pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)
2.0ms
N
@inf
(pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)
1.0ms
N
@0
(/.f64 1/3 (pow.f64 N 3))
1.0ms
N
@-inf
(pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)

rewrite217.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
1191×log1p-expm1-u
530×expm1-log1p-u
210×associate-*r*
160×pow1
160×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026249
1382233
25476233
Stop Event
1×node limit
Counts
11 → 317
Calls
Call 1
Inputs
(log1p.f64 (/.f64 1 N))
(log.f64 (/.f64 N (+.f64 N 1)))
(/.f64 N (+.f64 N 1))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 1/2 (pow.f64 N 2))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)
(log1p.f64 (/.f64 1 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 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.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 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 2/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(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))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 2))
(+.f64 (log.f64 N) (log.f64 (/.f64 1 (+.f64 1 N))))
(+.f64 (log.f64 N) (neg.f64 (log1p.f64 N)))
(+.f64 0 (-.f64 (log.f64 N) (log1p.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 1 N))) 2)) (log.f64 (cbrt.f64 (/.f64 N (+.f64 1 N)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 N (+.f64 1 N)))) (log.f64 (sqrt.f64 (/.f64 N (+.f64 1 N)))))
(-.f64 (log.f64 N) (log1p.f64 N))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 N) N)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log.f64 N) (log1p.f64 N)))) 1)
(-.f64 (log.f64 (neg.f64 N)) (log.f64 (+.f64 -1 (neg.f64 N))))
(*.f64 1 (-.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 1)
(*.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 2) (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) (sqrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (+.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (-.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (log1p.f64 N))) (+.f64 (log.f64 N) (log1p.f64 N)))
(pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 2)
(neg.f64 (log.f64 (/.f64 (+.f64 1 N) N)))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(exp.f64 (log.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 N) (log1p.f64 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 N (+.f64 1 N)))) 1)
(*.f64 1 (/.f64 N (+.f64 1 N)))
(*.f64 N (/.f64 1 (+.f64 1 N)))
(*.f64 (/.f64 N (+.f64 1 N)) 1)
(*.f64 (pow.f64 (cbrt.f64 N) 2) (/.f64 (cbrt.f64 N) (+.f64 1 N)))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) (/.f64 1 (+.f64 1 N))))
(*.f64 (cbrt.f64 (/.f64 N (+.f64 1 N))) (pow.f64 (cbrt.f64 (/.f64 N (+.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 1 N))) 2) (cbrt.f64 (/.f64 N (+.f64 1 N))))
(*.f64 (sqrt.f64 (/.f64 N (+.f64 1 N))) (sqrt.f64 (/.f64 N (+.f64 1 N))))
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(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/3 (pow.f64 N -3)))
(*.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))
(*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 1)
(*.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))))
(*.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))))
(*.f64 (-.f64 (*.f64 1/3 (pow.f64 N 2)) (*.f64 (pow.f64 N 3) 1/2)) (/.f64 1 (pow.f64 N 5)))
(*.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) (/.f64 1 (+.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/6 (pow.f64 N 5)))))
(*.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/2) N)))
(/.f64 1 (/.f64 (pow.f64 N 5) (-.f64 (*.f64 1/3 (pow.f64 N 2)) (*.f64 (pow.f64 N 3) 1/2))))
(/.f64 1 (/.f64 (+.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/6 (pow.f64 N 5))) (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6)))))
(/.f64 1 (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 (-.f64 (*.f64 1/3 (pow.f64 N 2)) (*.f64 (pow.f64 N 3) 1/2)) (pow.f64 N 5))
(/.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) (+.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/6 (pow.f64 N 5))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))
(/.f64 (-.f64 (*.f64 (pow.f64 N 2) 2) (*.f64 (*.f64 (pow.f64 N 3) 3) 1)) (*.f64 (*.f64 (pow.f64 N 3) 3) (*.f64 (pow.f64 N 2) 2)))
(/.f64 (-.f64 (pow.f64 N 2) (*.f64 (*.f64 (pow.f64 N 3) 3) 1/2)) (*.f64 (*.f64 (pow.f64 N 3) 3) (pow.f64 N 2)))
(/.f64 (-.f64 (neg.f64 (pow.f64 N 2)) (*.f64 (*.f64 (pow.f64 N 3) 3) -1/2)) (*.f64 (*.f64 (pow.f64 N 3) 3) (neg.f64 (pow.f64 N 2))))
(/.f64 (-.f64 (*.f64 1/3 (*.f64 (pow.f64 N 2) 2)) (pow.f64 N 3)) (*.f64 (pow.f64 N 3) (*.f64 (pow.f64 N 2) 2)))
(/.f64 (-.f64 (*.f64 1/3 (neg.f64 (pow.f64 N 2))) (*.f64 (pow.f64 N 3) -1/2)) (*.f64 (pow.f64 N 3) (neg.f64 (pow.f64 N 2))))
(/.f64 (-.f64 (*.f64 -1/3 (*.f64 (pow.f64 N 2) 2)) (*.f64 (neg.f64 (pow.f64 N 3)) 1)) (*.f64 (neg.f64 (pow.f64 N 3)) (*.f64 (pow.f64 N 2) 2)))
(/.f64 (-.f64 (*.f64 -1/3 (pow.f64 N 2)) (*.f64 (neg.f64 (pow.f64 N 3)) 1/2)) (*.f64 (neg.f64 (pow.f64 N 3)) (pow.f64 N 2)))
(/.f64 (-.f64 (*.f64 -1/3 (neg.f64 (pow.f64 N 2))) (*.f64 (neg.f64 (pow.f64 N 3)) -1/2)) (*.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (pow.f64 N 2))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/3 (pow.f64 N 2)) (*.f64 (pow.f64 N 3) 1/2))) (neg.f64 (pow.f64 N 5)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6)))) (neg.f64 (+.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/6 (pow.f64 N 5)))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4)))) (neg.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (*.f64 -1/2 (pow.f64 N -2)) 3)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (*.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 -1/2 (pow.f64 N -2))))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 -1/2 (pow.f64 N -2)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 -1/2 (pow.f64 N -2))))
(/.f64 (/.f64 (-.f64 (*.f64 1/3 (pow.f64 N 2)) (*.f64 (pow.f64 N 3) 1/2)) (pow.f64 N 3)) (pow.f64 N 2))
(pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) 1))
(fma.f64 1 (*.f64 1/3 (pow.f64 N -3)) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (*.f64 -1/2 (pow.f64 N -2)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 1/3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 1/3))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 2)
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(fabs.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 1))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 2/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(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))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))) 1)
(*.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(*.f64 (log1p.f64 (/.f64 1 N)) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (log1p.f64 (/.f64 1 N)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))
(*.f64 (pow.f64 1 3/2) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 3/2) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 3/2))
(*.f64 (*.f64 (log1p.f64 (/.f64 1 N)) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 (log1p.f64 (/.f64 1 N)) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))))
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
(exp.f64 (*.f64 3/2 (log.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (log1p.f64 (/.f64 1 N)))) 1))
(-.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 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.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 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 2/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(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))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 2))

simplify302.0ms (3%)

Algorithm
1×egg-herbie
Rules
1776×fma-neg
830×associate-*l*
794×associate-*r*
726×fma-define
574×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
081218111
1213316938
2794116922
Stop Event
1×node limit
Counts
417 → 493
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(log.f64 N)
(+.f64 (log.f64 N) (*.f64 -1 N))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (+.f64 (*.f64 -1/3 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N 2)))))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
N
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 3)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (+.f64 (*.f64 -1 (pow.f64 N 4)) (pow.f64 N 3))))
1
(-.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
1
(-.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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(/.f64 (-.f64 (*.f64 -1/3 (*.f64 (pow.f64 N 2) 2)) (*.f64 (neg.f64 (pow.f64 N 3)) 1)) (*.f64 (neg.f64 (pow.f64 N 3)) (*.f64 (pow.f64 N 2) 2)))
(/.f64 (-.f64 (*.f64 -1/3 (pow.f64 N 2)) (*.f64 (neg.f64 (pow.f64 N 3)) 1/2)) (*.f64 (neg.f64 (pow.f64 N 3)) (pow.f64 N 2)))
(/.f64 (-.f64 (*.f64 -1/3 (neg.f64 (pow.f64 N 2))) (*.f64 (neg.f64 (pow.f64 N 3)) -1/2)) (*.f64 (neg.f64 (pow.f64 N 3)) (neg.f64 (pow.f64 N 2))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/3 (pow.f64 N 2)) (*.f64 (pow.f64 N 3) 1/2))) (neg.f64 (pow.f64 N 5)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6)))) (neg.f64 (+.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/6 (pow.f64 N 5)))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4)))) (neg.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))))
(/.f64 (+.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (*.f64 -1/2 (pow.f64 N -2)) 3)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (*.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 -1/2 (pow.f64 N -2))))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (*.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 -1/2 (pow.f64 N -2)))) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 -1/2 (pow.f64 N -2))))
(/.f64 (/.f64 (-.f64 (*.f64 1/3 (pow.f64 N 2)) (*.f64 (pow.f64 N 3) 1/2)) (pow.f64 N 3)) (pow.f64 N 2))
(pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) 1))
(fma.f64 1 (*.f64 1/3 (pow.f64 N -3)) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (*.f64 -1/2 (pow.f64 N -2)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 1/3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 1/3))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 2)
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(fabs.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 1))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 2/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(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))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))) 1)
(*.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(*.f64 (log1p.f64 (/.f64 1 N)) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (log1p.f64 (/.f64 1 N)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))
(*.f64 (pow.f64 1 3/2) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 3/2) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 3/2))
(*.f64 (*.f64 (log1p.f64 (/.f64 1 N)) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 (log1p.f64 (/.f64 1 N)) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))))
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
(exp.f64 (*.f64 3/2 (log.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (log1p.f64 (/.f64 1 N)))) 1))
(-.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 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.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 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 2/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(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))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 2))
Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 2)))))
(log.f64 N)
(+.f64 (log.f64 N) (*.f64 -1 N))
(+.f64 (log.f64 N) (neg.f64 N))
(-.f64 (log.f64 N) N)
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 N) (fma.f64 -1 N (*.f64 (pow.f64 N 2) 1/2)))
(+.f64 (log.f64 N) (fma.f64 (pow.f64 N 2) 1/2 (neg.f64 N)))
(+.f64 (log.f64 N) (+.f64 (*.f64 -1 N) (+.f64 (*.f64 -1/3 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N 2)))))
(+.f64 (log.f64 N) (fma.f64 -1 N (fma.f64 -1/3 (pow.f64 N 3) (*.f64 (pow.f64 N 2) 1/2))))
(+.f64 (fma.f64 (pow.f64 N 2) 1/2 (*.f64 (pow.f64 N 3) -1/3)) (-.f64 (log.f64 N) N))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 -1 N))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))))
(+.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/3 (pow.f64 N 3)))) (/.f64 -1 N))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 -1 N))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))))
(+.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (-.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/3 (pow.f64 N 3)))) (/.f64 -1 N))
N
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (neg.f64 (pow.f64 N 2)))
(-.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 3)))
(+.f64 N (fma.f64 -1 (pow.f64 N 2) (pow.f64 N 3)))
(+.f64 N (-.f64 (pow.f64 N 3) (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (+.f64 (*.f64 -1 (pow.f64 N 4)) (pow.f64 N 3))))
(+.f64 N (fma.f64 -1 (pow.f64 N 2) (fma.f64 -1 (pow.f64 N 4) (pow.f64 N 3))))
(+.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 4)) (-.f64 N (pow.f64 N 2)))
1
(-.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 -1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 N)))
(+.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 1 (/.f64 -1 N)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 1 (/.f64 -1 N))) (/.f64 -1 (pow.f64 N 3)))
1
(-.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 -1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 N)))
(+.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 1 (/.f64 -1 N)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 N 2)) (+.f64 1 (/.f64 -1 N))) (/.f64 -1 (pow.f64 N 3)))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
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eval769.0ms (7.5%)

Compiler

Compiled 15706 to 12643 computations (19.5% saved)

prune239.0ms (2.3%)

Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New66811679
Fresh314
Picked145
Done000
Total67216688
Accuracy
100.0%
Counts
688 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.2%
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
▶99.2%
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
97.9%
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
96.1%
(/.f64 (+.f64 (pow.f64 N 5) (*.f64 N (-.f64 (*.f64 1/3 (pow.f64 N 2)) (*.f64 (pow.f64 N 3) 1/2)))) (pow.f64 N 6))
96.2%
(/.f64 1 (/.f64 (+.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) N)) (pow.f64 N -2)) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 3) (pow.f64 N -3))))
✓84.6%
(/.f64 1 N)
▶96.4%
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (*.f64 1/2 (pow.f64 N -2)))
✓96.4%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
98.8%
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
▶99.6%
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
26.5%
(neg.f64 (log.f64 (pow.f64 (/.f64 (+.f64 1 N) N) -1)))
✓27.1%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓99.8%
(log1p.f64 (/.f64 1 N))
▶26.6%
(log.f64 (/.f64 (+.f64 N 1) N))
95.2%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
▶98.8%
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
Compiler

Compiled 383 to 316 computations (17.5% saved)

localize896.0ms (8.8%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.8%
(log1p.f64 (/.f64 1 N))
✓99.7%
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
✓99.2%
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
99.8%
(log1p.f64 (/.f64 1 N))
✓98.9%
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
✓98.8%
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
✓99.9%
(+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))
✓99.8%
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (*.f64 1/2 (pow.f64 N -2)))
✓99.4%
(*.f64 1/3 (pow.f64 N -3))
✓100.0%
(/.f64 (+.f64 N 1) N)
✓26.5%
(log.f64 (/.f64 (+.f64 N 1) N))
✓99.8%
(sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
✓99.7%
(pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)
✓99.7%
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
✓99.5%
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
Compiler

Compiled 152 to 117 computations (23% saved)

Precisions
Click to see histograms. Total time spent on operations: 968.0ms
Operation ival-log, time spent: 417.0ms, 43.0% of total-time
Operation composed, time spent: 298.0ms, 31.0% of total-time
Operation ival-div, time spent: 88.0ms, 9.0% of total-time
Operation ival-pow, time spent: 74.0ms, 8.0% of total-time
Operation ival-add, time spent: 42.0ms, 4.0% of total-time
Operation ival-sqrt, time spent: 23.0ms, 2.0% of total-time
Operation ival-mult, time spent: 11.0ms, 1.0% of total-time
Operation const, time spent: 10.0ms, 1.0% of total-time
Operation ival-cbrt, time spent: 3.0ms, 0.0% of total-time
Operation ival-sub, time spent: 1.0ms, 0.0% of total-time

series36.0ms (0.4%)

Counts
13 → 132
Calls

39 calls:

TimeVariablePointExpression
4.0ms
N
@0
(sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
2.0ms
N
@0
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
2.0ms
N
@0
(pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)
1.0ms
N
@0
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
1.0ms
N
@-inf
(pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)

rewrite200.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
1140×log1p-expm1-u
416×expm1-log1p-u
288×associate-*r*
177×add-cube-cbrt
176×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032380
1458269
25677269
Stop Event
1×node limit
Counts
13 → 361
Calls
Call 1
Inputs
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)
(sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 N 1) N)
(*.f64 1/3 (pow.f64 N -3))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (*.f64 1/2 (pow.f64 N -2)))
(+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(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))
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/2)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/6)
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))) 1)
(*.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (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 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))
(*.f64 (pow.f64 1 3/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) 3/4) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3/4))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4)) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))))
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)))
(exp.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))) 1)
(*.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 1)
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4))
(*.f64 (pow.f64 1 1/2) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/2)
(pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 1)
(pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) 2)
(fabs.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(exp.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) 1))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 N) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 N) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 N) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 N) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 1 N))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log.f64 (+.f64 -1 (neg.f64 N))) (log.f64 (neg.f64 N)))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(*.f64 (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 (*.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(neg.f64 (log.f64 (/.f64 N (+.f64 1 N))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 N) N))) 1)
(*.f64 1 (/.f64 (+.f64 1 N) N))
(*.f64 (/.f64 1 N) (+.f64 1 N))
(*.f64 (+.f64 1 N) (/.f64 1 N))
(*.f64 (/.f64 (+.f64 1 N) N) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 N) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 N) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 N) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 N) N)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (/.f64 (cbrt.f64 (+.f64 1 N)) N))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (*.f64 (cbrt.f64 (+.f64 1 N)) (/.f64 1 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 N) N)) (sqrt.f64 (/.f64 (+.f64 1 N) N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 1 N) (sqrt.f64 N)))
(*.f64 (sqrt.f64 (+.f64 1 N)) (/.f64 (sqrt.f64 (+.f64 1 N)) N))
(*.f64 (sqrt.f64 (+.f64 1 N)) (*.f64 (sqrt.f64 (+.f64 1 N)) (/.f64 1 N)))
(*.f64 (+.f64 -1 (neg.f64 N)) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1 N) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 N)) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 N) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1 N)) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 N)) 1) (/.f64 (sqrt.f64 (+.f64 1 N)) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 N)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 1 N)) (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 1 N) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (*.f64 (+.f64 1 N) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(pow.f64 (/.f64 (+.f64 1 N) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 N) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 N) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 N) N)) 2)
(pow.f64 (/.f64 N (+.f64 1 N)) -1)
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 N) (log.f64 N)))
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(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1))
(-.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 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/3))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (/.f64 1 N)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4)) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.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))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
(-.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 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/3))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (/.f64 1 N)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4)) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(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))
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/2)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/6)
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 1))

simplify413.0ms (4%)

Algorithm
1×egg-herbie
Rules
1214×fma-neg
1004×associate-*l*
992×associate-*r*
992×fma-define
556×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
085820448
1217219378
2796919374
Stop Event
1×node limit
Counts
493 → 497
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(*.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)))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 N 2) (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.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))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 N 2) (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (pow.f64 N 3) (-.f64 1/3 (*.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (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)))))
(pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4)
(+.f64 (*.f64 -3/4 (*.f64 (pow.f64 (/.f64 -1 (log.f64 N)) 1/4) N)) (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4))
(+.f64 (*.f64 -3/4 (*.f64 (pow.f64 (/.f64 -1 (log.f64 N)) 1/4) N)) (+.f64 (*.f64 (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 3/8 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (*.f64 9/32 (/.f64 1 (pow.f64 (log.f64 N) 2)))))) (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4)))
(+.f64 (*.f64 -3/4 (*.f64 (pow.f64 (/.f64 -1 (log.f64 N)) 1/4) N)) (+.f64 (*.f64 (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 3/8 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (*.f64 9/32 (/.f64 1 (pow.f64 (log.f64 N) 2)))))) (+.f64 (*.f64 (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4) (*.f64 (pow.f64 N 3) (-.f64 (+.f64 (*.f64 -9/32 (/.f64 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))) (log.f64 N))) (*.f64 1/8 (-.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 9/128 (/.f64 1 (pow.f64 (log.f64 N) 3)))))) (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4))))
(pow.f64 (/.f64 1 (pow.f64 N 3)) 1/4)
(+.f64 (*.f64 -3/8 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/4)) (pow.f64 (/.f64 1 (pow.f64 N 3)) 1/4))
(+.f64 (*.f64 -3/8 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/4)) (+.f64 (*.f64 29/128 (pow.f64 (/.f64 1 (pow.f64 N 11)) 1/4)) (pow.f64 (/.f64 1 (pow.f64 N 3)) 1/4)))
(+.f64 (*.f64 -3/8 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/4)) (+.f64 (*.f64 -165/1024 (pow.f64 (/.f64 1 (pow.f64 N 15)) 1/4)) (+.f64 (*.f64 29/128 (pow.f64 (/.f64 1 (pow.f64 N 11)) 1/4)) (pow.f64 (/.f64 1 (pow.f64 N 3)) 1/4))))
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))
(+.f64 (exp.f64 (*.f64 3/4 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 3/4 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)))
(+.f64 (exp.f64 (*.f64 3/4 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (+.f64 (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 3/4 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)) (*.f64 29/128 (/.f64 (exp.f64 (*.f64 3/4 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (pow.f64 N 2)))))
(+.f64 (exp.f64 (*.f64 3/4 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (+.f64 (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 3/4 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)) (+.f64 (*.f64 -165/1024 (/.f64 (exp.f64 (*.f64 3/4 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (pow.f64 N 3))) (*.f64 29/128 (/.f64 (exp.f64 (*.f64 3/4 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (pow.f64 N 2))))))
(pow.f64 (*.f64 -1 (log.f64 N)) 1/4)
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4) N)) (pow.f64 (*.f64 -1 (log.f64 N)) 1/4))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4) N)) (+.f64 (*.f64 (pow.f64 (*.f64 -1 (log.f64 N)) 1/4) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 1/8 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (*.f64 1/32 (/.f64 1 (pow.f64 (log.f64 N) 2)))))) (pow.f64 (*.f64 -1 (log.f64 N)) 1/4)))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4) N)) (+.f64 (*.f64 (pow.f64 (*.f64 -1 (log.f64 N)) 1/4) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 1/8 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (*.f64 1/32 (/.f64 1 (pow.f64 (log.f64 N) 2)))))) (+.f64 (*.f64 (pow.f64 (*.f64 -1 (log.f64 N)) 1/4) (*.f64 (pow.f64 N 3) (-.f64 (+.f64 (*.f64 -1/32 (/.f64 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))) (log.f64 N))) (*.f64 1/24 (-.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 1/384 (/.f64 1 (pow.f64 (log.f64 N) 3)))))) (pow.f64 (*.f64 -1 (log.f64 N)) 1/4))))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(*.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(*.f64 (+.f64 (pow.f64 N -3) (*.f64 (pow.f64 (pow.f64 N -3) 3) 1/27)) (/.f64 1 (+.f64 (pow.f64 N -2) (-.f64 (*.f64 (pow.f64 N -6) 1/9) (*.f64 (pow.f64 N -4) 1/3)))))
(*.f64 (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -6) 1/9)) (/.f64 1 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 N -2) (-.f64 (*.f64 (pow.f64 N -6) 1/9) (*.f64 (pow.f64 N -4) 1/3))) (+.f64 (pow.f64 N -3) (*.f64 (pow.f64 (pow.f64 N -3) 3) 1/27))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))) (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -6) 1/9))))
(/.f64 (+.f64 (pow.f64 N -3) (*.f64 (pow.f64 (pow.f64 N -3) 3) 1/27)) (+.f64 (pow.f64 N -2) (-.f64 (*.f64 (pow.f64 N -6) 1/9) (*.f64 (pow.f64 N -4) 1/3))))
(/.f64 (+.f64 (pow.f64 N -3) (*.f64 (pow.f64 (pow.f64 N -3) 3) 1/27)) (+.f64 (*.f64 (pow.f64 N -6) 1/9) (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -4) 1/3))))
(/.f64 (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -6) 1/9)) (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (*.f64 (pow.f64 (pow.f64 N -3) 3) 1/27))) (neg.f64 (+.f64 (pow.f64 N -2) (-.f64 (*.f64 (pow.f64 N -6) 1/9) (*.f64 (pow.f64 N -4) 1/3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -6) 1/9))) (neg.f64 (+.f64 (/.f64 1 N) (*.f64 -1/3 (pow.f64 N -3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 N -6) 1/9) (pow.f64 N -2)) (-.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 1 N)))
(pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 1))
(fma.f64 1 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 1 (*.f64 1/3 (pow.f64 N -3)) (/.f64 1 N))
(fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))
(fma.f64 (pow.f64 N -3) 1/3 (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 N -6) 1/9)) (*.f64 (/.f64 1 N) (cbrt.f64 1/3)) (/.f64 1 N))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 1/3 (pow.f64 N -3)))
(fma.f64 (*.f64 (pow.f64 N -3/2) (sqrt.f64 1/3)) (*.f64 (pow.f64 N -3/2) (sqrt.f64 1/3)) (/.f64 1 N))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))) 1)
(*.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(*.f64 (log1p.f64 (/.f64 1 N)) (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1)
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (log1p.f64 (/.f64 1 N)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 3) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) 3) (log1p.f64 (/.f64 1 N)))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1) (log1p.f64 (/.f64 1 N)))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1))
(-.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 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/3))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (/.f64 1 N)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4)) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.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))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
(-.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 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/3))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (/.f64 1 N)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4)) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(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))
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/2)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/6)
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.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 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
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(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))))
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(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1/2))
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
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eval603.0ms (5.9%)

Compiler

Compiled 18371 to 14796 computations (19.5% saved)

prune156.0ms (1.5%)

Pruning

21 alts after pruning (12 fresh and 9 done)

PrunedKeptTotal
New9157922
Fresh257
Picked055
Done044
Total91721938
Accuracy
100.0%
Counts
938 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶94.2%
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
✓99.2%
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
98.3%
(pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) 2)
97.9%
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
96.1%
(/.f64 (+.f64 (pow.f64 N 5) (*.f64 N (-.f64 (*.f64 1/3 (pow.f64 N 2)) (*.f64 (pow.f64 N 3) 1/2)))) (pow.f64 N 6))
✓84.6%
(/.f64 1 N)
✓96.4%
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (*.f64 1/2 (pow.f64 N -2)))
✓96.4%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
96.8%
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 1/3))
▶85.6%
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (/.f64 1 N) 1/4))
✓99.6%
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
▶99.3%
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
26.5%
(neg.f64 (log.f64 (pow.f64 (/.f64 (+.f64 1 N) N) -1)))
✓27.1%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓99.8%
(log1p.f64 (/.f64 1 N))
✓26.6%
(log.f64 (/.f64 (+.f64 N 1) N))
▶95.2%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
▶84.0%
(cbrt.f64 (pow.f64 (/.f64 1 N) 3))
✓98.8%
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
92.0%
(cbrt.f64 (-.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 3/2 (pow.f64 N 4))))
95.3%
(cbrt.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 -3/2 (pow.f64 N 4)))))
Compiler

Compiled 396 to 332 computations (16.2% saved)

localize697.0ms (6.8%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
✓99.9%
(pow.f64 (/.f64 1 N) 1/4)
99.8%
(log1p.f64 (/.f64 1 N))
99.7%
(pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)
✓99.4%
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (/.f64 1 N) 1/4))
99.8%
(log1p.f64 (/.f64 1 N))
98.8%
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
✓94.2%
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
✓100.0%
(log.f64 (log1p.f64 (/.f64 1 N)))
99.8%
(log1p.f64 (/.f64 1 N))
✓95.3%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
✓98.9%
(cbrt.f64 (pow.f64 (/.f64 1 N) 3))
✓98.9%
(pow.f64 (/.f64 1 N) 3)
✓99.8%
(pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)
99.8%
(log1p.f64 (/.f64 1 N))
✓99.5%
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
✓99.5%
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
Compiler

Compiled 154 to 123 computations (20.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 770.0ms
Operation composed, time spent: 251.0ms, 33.0% of total-time
Operation ival-log, time spent: 217.0ms, 28.0% of total-time
Operation ival-cbrt, time spent: 92.0ms, 12.0% of total-time
Operation ival-pow, time spent: 92.0ms, 12.0% of total-time
Operation ival-div, time spent: 66.0ms, 9.0% of total-time
Operation ival-add, time spent: 28.0ms, 4.0% of total-time
Operation const, time spent: 12.0ms, 2.0% of total-time
Operation ival-mult, time spent: 8.0ms, 1.0% of total-time
Operation ival-exp, time spent: 4.0ms, 1.0% of total-time

series99.0ms (1%)

Counts
10 → 112
Calls

30 calls:

TimeVariablePointExpression
33.0ms
N
@0
(pow.f64 (/.f64 1 N) 1/4)
13.0ms
N
@-inf
(pow.f64 (/.f64 1 N) 1/4)
10.0ms
N
@inf
(pow.f64 (/.f64 1 N) 1/4)
7.0ms
N
@0
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
4.0ms
N
@0
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (/.f64 1 N) 1/4))

rewrite258.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
1308×log-prod
636×log1p-expm1-u
636×expm1-log1p-u
614×pow-to-exp
490×log-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027276
1339165
23523165
Stop Event
1×node limit
Counts
10 → 361
Calls
Call 1
Inputs
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)
(pow.f64 (/.f64 1 N) 3)
(cbrt.f64 (pow.f64 (/.f64 1 N) 3))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (log1p.f64 (/.f64 1 N)))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (/.f64 1 N) 1/4))
(pow.f64 (/.f64 1 N) 1/4)
Outputs
(+.f64 0 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8))) (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8))) 1)
(pow.f64 (log1p.f64 (/.f64 1 N)) 5/8)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 5/24)
(pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8)) 3)
(pow.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8) 3) 1/3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/16) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/4))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8))))
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8) 3))
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 9/8) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 3) (pow.f64 (log1p.f64 (/.f64 1 N)) 9/8)))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8)))
(exp.f64 (*.f64 5/8 (log.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 5/8))
(exp.f64 (*.f64 (*.f64 5/8 (log.f64 (log1p.f64 (/.f64 1 N)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 5/24))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8))) 3))
(exp.f64 (*.f64 (*.f64 3 (*.f64 5/8 (log.f64 (log1p.f64 (/.f64 1 N))))) 1/3))
(exp.f64 (*.f64 (*.f64 5/16 (log.f64 (log1p.f64 (/.f64 1 N)))) 2))
(+.f64 0 (log1p.f64 (/.f64 1 N)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) (cbrt.f64 (+.f64 1 (/.f64 1 N))))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(-.f64 (log1p.f64 (pow.f64 N -3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N -2) (/.f64 1 N)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 N -2))) (log.f64 (-.f64 1 (/.f64 1 N))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 6) 1/6)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (exp.f64 1) (log.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N))))) (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(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))
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 9/8) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8) 3) (pow.f64 (log1p.f64 (/.f64 1 N)) 9/8)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 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 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3))
(exp.f64 (*.f64 (*.f64 6 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/6))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 2))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (log1p.f64 (/.f64 1 N)))))
(+.f64 0 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))) (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))) 1)
(*.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) 1)
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/16) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/16))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) 3/8) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3/8))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 3/8) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 3/8))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))
(fabs.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 9/8))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)))
(exp.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/8))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 3/4) 1/2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 (/.f64 1 N)))) 3/16))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))) 3))
(exp.f64 (*.f64 (*.f64 9/8 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
(exp.f64 (*.f64 (*.f64 3/16 (log.f64 (log1p.f64 (/.f64 1 N)))) 2))
(+.f64 0 (pow.f64 N -3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 N -3))) (cbrt.f64 (exp.f64 (pow.f64 N -3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 N -3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 N -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 N -3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 N -3))) 1)
(*.f64 1 (pow.f64 N -3))
(*.f64 (/.f64 1 N) (pow.f64 N -2))
(*.f64 (pow.f64 N -3) 1)
(*.f64 (pow.f64 N -3) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 N -2) (/.f64 1 N))
(*.f64 (cbrt.f64 (pow.f64 N -2)) (*.f64 (/.f64 1 (cbrt.f64 N)) (pow.f64 N -2)))
(*.f64 (pow.f64 N -1/2) (*.f64 (pow.f64 N -1/2) (pow.f64 N -2)))
(*.f64 (pow.f64 N -3/2) (pow.f64 N -3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 N -2)) 3) (/.f64 1 N))
(*.f64 (pow.f64 (pow.f64 N -1/2) 3) (pow.f64 (pow.f64 N -1/2) 3))
(*.f64 (*.f64 (pow.f64 N -2) 1) (/.f64 1 N))
(*.f64 (*.f64 (pow.f64 N -2) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(*.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(/.f64 1 (pow.f64 N 3))
(/.f64 1 (/.f64 (pow.f64 N 3) 1))
(/.f64 -1 (pow.f64 (neg.f64 N) 3))
(/.f64 -1 (neg.f64 (pow.f64 N 3)))
(/.f64 (pow.f64 N -2) N)
(/.f64 (*.f64 (pow.f64 N -2) 1) N)
(/.f64 (*.f64 (pow.f64 N -2) -1) (neg.f64 N))
(/.f64 (*.f64 -1 (pow.f64 N -2)) (neg.f64 N))
(sqrt.f64 (pow.f64 (/.f64 1 N) 6))
(log.f64 (exp.f64 (pow.f64 N -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 N -3))))
(cbrt.f64 (pow.f64 (pow.f64 N -3) 3))
(expm1.f64 (log1p.f64 (pow.f64 N -3)))
(log1p.f64 (expm1.f64 (pow.f64 N -3)))
(exp.f64 (*.f64 -3 (log.f64 N)))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 N)) 1))
(exp.f64 (*.f64 (log.f64 N) -3))
(exp.f64 (*.f64 (log.f64 (pow.f64 N -2)) 3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 N -3) 3)) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 N)) -1))
(exp.f64 (*.f64 (*.f64 -3/2 (log.f64 N)) 2))
(+.f64 0 (/.f64 1 N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 N))) (cbrt.f64 (exp.f64 (/.f64 1 N))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 N)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 N)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 N)))))
(-.f64 (+.f64 1 (/.f64 1 N)) 1)
(*.f64 1 (/.f64 1 N))
(*.f64 (/.f64 1 N) 1)
(*.f64 (/.f64 1 N) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (cbrt.f64 N)) (cbrt.f64 (pow.f64 N -2)))
(*.f64 (/.f64 1 (cbrt.f64 N)) (exp.f64 (*.f64 (log.f64 (pow.f64 N -2)) 1/3)))
(*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)))
(*.f64 (pow.f64 N -1/2) (pow.f64 N -1/2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N)))
(*.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 N -2)) 1/3)) (/.f64 1 (cbrt.f64 N)))
(*.f64 (exp.f64 (*.f64 (*.f64 -3/2 (log.f64 N)) 1/3)) (exp.f64 (*.f64 (*.f64 -3/2 (log.f64 N)) 1/3)))
(/.f64 1 N)
(/.f64 1 (neg.f64 (neg.f64 N)))
(/.f64 -1 (neg.f64 N))
(/.f64 (pow.f64 N -1/2) (sqrt.f64 N))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(pow.f64 N -1)
(pow.f64 (/.f64 1 N) 1)
(pow.f64 (pow.f64 N -3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 N)) 3)
(pow.f64 (pow.f64 N -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 N)) -1)
(neg.f64 (/.f64 -1 N))
(sqrt.f64 (pow.f64 N -2))
(log.f64 (exp.f64 (/.f64 1 N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 N))))
(expm1.f64 (log1p.f64 (/.f64 1 N)))
(log1p.f64 (expm1.f64 (/.f64 1 N)))
(exp.f64 (neg.f64 (log.f64 N)))
(exp.f64 (*.f64 (log.f64 N) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 N)) 1))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 N)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 N))) 3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 N)) 2))
(fma.f64 1 (+.f64 1 (/.f64 1 N)) -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) (cbrt.f64 (+.f64 1 (/.f64 1 N)))) (cbrt.f64 (+.f64 1 (/.f64 1 N))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 N -1/2)) (hypot.f64 1 (pow.f64 N -1/2)) -1)
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(*.f64 (exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3)) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (exp.f64 (*.f64 (*.f64 3/2 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3)) (exp.f64 (*.f64 (*.f64 3/2 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3)))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/4))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8)))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (log1p.f64 (/.f64 1 N)) 5/16)) (pow.f64 (log1p.f64 (/.f64 1 N)) 5/16))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/16)) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/16))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/8)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/8))
(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))
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 9/8) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8) 3) (pow.f64 (log1p.f64 (/.f64 1 N)) 9/8)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 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 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3))
(exp.f64 (*.f64 (*.f64 6 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/6))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 2))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (log1p.f64 (/.f64 1 N)))))
(+.f64 0 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)) (pow.f64 N -1/4))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)) (pow.f64 N -1/4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)) (pow.f64 N -1/4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)) (pow.f64 N -1/4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)) (pow.f64 N -1/4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4)))) 1)
(pow.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 N -1/8)) 2)
(sqrt.f64 (*.f64 (pow.f64 N -1/2) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)) (pow.f64 N -1/4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 3) (pow.f64 (pow.f64 N -1/4) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 N -1/4) 3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4)))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 N -1/8))) 2))
(+.f64 0 (pow.f64 N -1/4))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 N -1/4))) (cbrt.f64 (exp.f64 (pow.f64 N -1/4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 N -1/4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 N -1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 N -1/4)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 N -1/4))) 1)
(*.f64 1 (pow.f64 N -1/4))
(*.f64 (pow.f64 N -1/4) 1)
(*.f64 (pow.f64 N -1/4) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (pow.f64 N -1/4)) (cbrt.f64 (pow.f64 N -1/2)))
(*.f64 (cbrt.f64 (pow.f64 N -1/2)) (cbrt.f64 (pow.f64 N -1/4)))
(*.f64 (pow.f64 N -1/8) (pow.f64 N -1/8))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 N -2)) 1/4) (pow.f64 (/.f64 1 (cbrt.f64 N)) 1/4))
(*.f64 (pow.f64 (pow.f64 N -1/2) 1/4) (pow.f64 (pow.f64 N -1/2) 1/4))
(sqrt.f64 (pow.f64 N -1/2))
(log.f64 (exp.f64 (pow.f64 N -1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 N -1/4))))
(cbrt.f64 (pow.f64 (pow.f64 N -1/4) 3))
(expm1.f64 (log1p.f64 (pow.f64 N -1/4)))
(log1p.f64 (expm1.f64 (pow.f64 N -1/4)))
(exp.f64 (*.f64 -1/4 (log.f64 N)))
(exp.f64 (*.f64 (*.f64 -1/4 (log.f64 N)) 1))
(exp.f64 (*.f64 (log.f64 N) -1/4))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 N)) 1/12))
(exp.f64 (*.f64 (log.f64 (pow.f64 N -2)) 1/8))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 N -1/4))) 3))
(exp.f64 (*.f64 (*.f64 3 (*.f64 -1/4 (log.f64 N))) 1/3))
(exp.f64 (*.f64 (*.f64 -1/8 (log.f64 N)) 2))

simplify273.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
1186×fma-define
912×*-commutative
594×distribute-lft-in
550×+-commutative
540×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0104119639
1271618577
Stop Event
1×node limit
Counts
473 → 514
Calls
Call 1
Inputs
(pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 5)) 1/8)
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 35)) 1/8) (*.f64 N (+.f64 (*.f64 4 (pow.f64 (log.f64 N) 4)) (pow.f64 (log.f64 N) 4))))) (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 5)) 1/8))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 35)) 1/8) (*.f64 N (+.f64 (*.f64 4 (pow.f64 (log.f64 N) 4)) (pow.f64 (log.f64 N) 4))))) (+.f64 (*.f64 (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 5)) 1/8) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 (+.f64 (*.f64 4 (pow.f64 (log.f64 N) 4)) (pow.f64 (log.f64 N) 4)) 2) (pow.f64 (log.f64 N) 10))) (*.f64 1/16 (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -4 (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 -1 (*.f64 (log.f64 N) (+.f64 (*.f64 2 (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 1 (log.f64 N)))) (*.f64 4 (pow.f64 (log.f64 N) 2))))) (*.f64 -1/2 (pow.f64 (log.f64 N) 4)))) (pow.f64 (log.f64 N) 5))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 (*.f64 4 (pow.f64 (log.f64 N) 4)) (pow.f64 (log.f64 N) 4)) 2) (pow.f64 (log.f64 N) 10)))))))) (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 5)) 1/8)))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 35)) 1/8) (*.f64 N (+.f64 (*.f64 4 (pow.f64 (log.f64 N) 4)) (pow.f64 (log.f64 N) 4))))) (+.f64 (*.f64 (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 5)) 1/8) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 1/128 (/.f64 (pow.f64 (+.f64 (*.f64 4 (pow.f64 (log.f64 N) 4)) (pow.f64 (log.f64 N) 4)) 2) (pow.f64 (log.f64 N) 10))) (*.f64 1/16 (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -4 (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 -1 (*.f64 (log.f64 N) (+.f64 (*.f64 2 (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 1 (log.f64 N)))) (*.f64 4 (pow.f64 (log.f64 N) 2))))) (*.f64 -1/2 (pow.f64 (log.f64 N) 4)))) (pow.f64 (log.f64 N) 5))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 (*.f64 4 (pow.f64 (log.f64 N) 4)) (pow.f64 (log.f64 N) 4)) 2) (pow.f64 (log.f64 N) 10)))))))) (+.f64 (*.f64 (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 5)) 1/8) (*.f64 (pow.f64 N 3) (+.f64 (*.f64 -1/128 (/.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -4 (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 -1 (*.f64 (log.f64 N) (+.f64 (*.f64 2 (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 1 (log.f64 N)))) (*.f64 4 (pow.f64 (log.f64 N) 2))))) (*.f64 -1/2 (pow.f64 (log.f64 N) 4)))) (pow.f64 (log.f64 N) 5))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 (*.f64 4 (pow.f64 (log.f64 N) 4)) (pow.f64 (log.f64 N) 4)) 2) (pow.f64 (log.f64 N) 10)))) (+.f64 (*.f64 4 (pow.f64 (log.f64 N) 4)) (pow.f64 (log.f64 N) 4))) (pow.f64 (log.f64 N) 5))) (+.f64 (*.f64 -1/3072 (/.f64 (pow.f64 (+.f64 (*.f64 4 (pow.f64 (log.f64 N) 4)) (pow.f64 (log.f64 N) 4)) 3) (pow.f64 (log.f64 N) 15))) (*.f64 1/48 (+.f64 (*.f64 -6 (/.f64 (*.f64 (+.f64 (*.f64 -4 (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 -1 (*.f64 (log.f64 N) (+.f64 (*.f64 2 (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 1 (log.f64 N)))) (*.f64 4 (pow.f64 (log.f64 N) 2))))) (*.f64 -1/2 (pow.f64 (log.f64 N) 4)))) (+.f64 (*.f64 4 (pow.f64 (log.f64 N) 4)) (pow.f64 (log.f64 N) 4))) (pow.f64 (log.f64 N) 10))) (+.f64 (*.f64 -6 (/.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 N) (+.f64 (*.f64 -4 (*.f64 (log.f64 N) (+.f64 1 (log.f64 N)))) (*.f64 2 (*.f64 (pow.f64 (log.f64 N) 2) (-.f64 (*.f64 -2/3 (log.f64 N)) 1)))))) (+.f64 (*.f64 1/3 (pow.f64 (log.f64 N) 4)) (+.f64 (*.f64 2 (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 1 (log.f64 N)))) (+.f64 (*.f64 2 (pow.f64 (log.f64 N) 3)) (*.f64 4 (pow.f64 (log.f64 N) 2)))))) (pow.f64 (log.f64 N) 5))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 (*.f64 4 (pow.f64 (log.f64 N) 4)) (pow.f64 (log.f64 N) 4)) 3) (pow.f64 (log.f64 N) 15)))))))))) (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 5)) 1/8))))
(pow.f64 (/.f64 1 (pow.f64 N 5)) 1/8)
(+.f64 (*.f64 -5/16 (pow.f64 (/.f64 1 (pow.f64 N 13)) 1/8)) (pow.f64 (/.f64 1 (pow.f64 N 5)) 1/8))
(+.f64 (*.f64 -5/16 (pow.f64 (/.f64 1 (pow.f64 N 13)) 1/8)) (+.f64 (*.f64 275/1536 (pow.f64 (/.f64 1 (pow.f64 N 21)) 1/8)) (pow.f64 (/.f64 1 (pow.f64 N 5)) 1/8)))
(+.f64 (*.f64 -5/16 (pow.f64 (/.f64 1 (pow.f64 N 13)) 1/8)) (+.f64 (*.f64 -1015/8192 (pow.f64 (/.f64 1 (pow.f64 N 29)) 1/8)) (+.f64 (*.f64 275/1536 (pow.f64 (/.f64 1 (pow.f64 N 21)) 1/8)) (pow.f64 (/.f64 1 (pow.f64 N 5)) 1/8))))
(exp.f64 (*.f64 1/8 (+.f64 (log.f64 -1) (*.f64 5 (log.f64 (/.f64 -1 N))))))
(+.f64 (exp.f64 (*.f64 1/8 (+.f64 (log.f64 -1) (*.f64 5 (log.f64 (/.f64 -1 N)))))) (*.f64 -5/16 (/.f64 (exp.f64 (*.f64 1/8 (+.f64 (log.f64 -1) (*.f64 5 (log.f64 (/.f64 -1 N)))))) N)))
(+.f64 (exp.f64 (*.f64 1/8 (+.f64 (log.f64 -1) (*.f64 5 (log.f64 (/.f64 -1 N)))))) (+.f64 (*.f64 -5/16 (/.f64 (exp.f64 (*.f64 1/8 (+.f64 (log.f64 -1) (*.f64 5 (log.f64 (/.f64 -1 N)))))) N)) (*.f64 275/1536 (/.f64 (exp.f64 (*.f64 1/8 (+.f64 (log.f64 -1) (*.f64 5 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 2)))))
(+.f64 (exp.f64 (*.f64 1/8 (+.f64 (log.f64 -1) (*.f64 5 (log.f64 (/.f64 -1 N)))))) (+.f64 (*.f64 -5/16 (/.f64 (exp.f64 (*.f64 1/8 (+.f64 (log.f64 -1) (*.f64 5 (log.f64 (/.f64 -1 N)))))) N)) (+.f64 (*.f64 -1015/8192 (/.f64 (exp.f64 (*.f64 1/8 (+.f64 (log.f64 -1) (*.f64 5 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (*.f64 275/1536 (/.f64 (exp.f64 (*.f64 1/8 (+.f64 (log.f64 -1) (*.f64 5 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 2))))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) 1/8)
(+.f64 (*.f64 -3/8 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 5)) 1/8) N)) (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) 1/8))
(+.f64 (*.f64 -3/8 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 5)) 1/8) N)) (+.f64 (*.f64 (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) 1/8) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 3/16 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (*.f64 9/128 (/.f64 1 (pow.f64 (log.f64 N) 2)))))) (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) 1/8)))
(+.f64 (*.f64 -3/8 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 5)) 1/8) N)) (+.f64 (*.f64 (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) 1/8) (*.f64 (pow.f64 N 2) (+.f64 (*.f64 3/16 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (*.f64 9/128 (/.f64 1 (pow.f64 (log.f64 N) 2)))))) (+.f64 (*.f64 (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) 1/8) (*.f64 (pow.f64 N 3) (-.f64 (+.f64 (*.f64 -9/128 (/.f64 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))) (log.f64 N))) (*.f64 1/16 (-.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 9/1024 (/.f64 1 (pow.f64 (log.f64 N) 3)))))) (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) 1/8))))
(pow.f64 (/.f64 1 (pow.f64 N 3)) 1/8)
(+.f64 (*.f64 -3/16 (pow.f64 (/.f64 1 (pow.f64 N 11)) 1/8)) (pow.f64 (/.f64 1 (pow.f64 N 3)) 1/8))
(+.f64 (*.f64 -3/16 (pow.f64 (/.f64 1 (pow.f64 N 11)) 1/8)) (+.f64 (*.f64 49/512 (pow.f64 (/.f64 1 (pow.f64 N 19)) 1/8)) (pow.f64 (/.f64 1 (pow.f64 N 3)) 1/8)))
(+.f64 (*.f64 -3/16 (pow.f64 (/.f64 1 (pow.f64 N 11)) 1/8)) (+.f64 (*.f64 -513/8192 (pow.f64 (/.f64 1 (pow.f64 N 27)) 1/8)) (+.f64 (*.f64 49/512 (pow.f64 (/.f64 1 (pow.f64 N 19)) 1/8)) (pow.f64 (/.f64 1 (pow.f64 N 3)) 1/8))))
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(+.f64 (log.f64 (exp.f64 (*.f64 (*.f64 3/2 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))) (log.f64 (exp.f64 (*.f64 (*.f64 3/2 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))))
(+.f64 (log.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/4)))) (log.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8))))
(+.f64 (log.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (log1p.f64 (/.f64 1 N)) 5/16))) (*.f64 5/16 (log.f64 (log1p.f64 (/.f64 1 N)))))
(+.f64 (log.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)))) (log.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))))
(+.f64 (log.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/16))) (*.f64 3/16 (log.f64 (log1p.f64 (/.f64 1 N)))))
(+.f64 (log.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))) (log.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))))
(+.f64 (log.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/8))) (*.f64 1/8 (log.f64 (log1p.f64 (/.f64 1 N)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (log1p.f64 (/.f64 1 N))))) 1)
(*.f64 1 (log.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 3 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) (log.f64 (exp.f64 1)))
(*.f64 1/3 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3)
(*.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 2) (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 2 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 1/6 (*.f64 6 (log.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1)
(pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 3)
(pow.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 2))
(cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 3))
(expm1.f64 (log1p.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(log1p.f64 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
(exp.f64 (log.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N))))) 2))
(fma.f64 1 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 3/4) (*.f64 1/4 (log.f64 (log1p.f64 (/.f64 1 N)))))
(fma.f64 1 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)) (*.f64 5/8 (log.f64 (log1p.f64 (/.f64 1 N)))))
(fma.f64 1 (*.f64 5/8 (log.f64 (log1p.f64 (/.f64 1 N)))) (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)))
(fma.f64 3/8 (log.f64 (log1p.f64 (/.f64 1 N))) (*.f64 5/8 (log.f64 (log1p.f64 (/.f64 1 N)))))
(fma.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 3/8 (*.f64 5/8 (log.f64 (log1p.f64 (/.f64 1 N)))))
(fma.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 3/4 (*.f64 1/4 (log.f64 (log1p.f64 (/.f64 1 N)))))
(fma.f64 3/4 (log.f64 (log1p.f64 (/.f64 1 N))) (*.f64 1/4 (log.f64 (log1p.f64 (/.f64 1 N)))))
(fma.f64 5/8 (log.f64 (log1p.f64 (/.f64 1 N))) (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 2) (*.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 3/8) (*.f64 5/8 (log.f64 (log1p.f64 (/.f64 1 N)))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 2) (*.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 3/4) (*.f64 1/4 (log.f64 (log1p.f64 (/.f64 1 N)))))
(fma.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) (*.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 3/8) (*.f64 5/8 (log.f64 (log1p.f64 (/.f64 1 N)))))
(fma.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) (*.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 3/4) (*.f64 1/4 (log.f64 (log1p.f64 (/.f64 1 N)))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))) (cbrt.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)))) (cbrt.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))) (*.f64 5/8 (log.f64 (log1p.f64 (/.f64 1 N)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 5/8 (log.f64 (log1p.f64 (/.f64 1 N))))) (cbrt.f64 (*.f64 5/8 (log.f64 (log1p.f64 (/.f64 1 N)))))) (cbrt.f64 (*.f64 5/8 (log.f64 (log1p.f64 (/.f64 1 N))))) (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 3/4)) (cbrt.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 3/4))) (cbrt.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 3/4)) (*.f64 1/4 (log.f64 (log1p.f64 (/.f64 1 N)))))
(fma.f64 (sqrt.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))) (sqrt.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))) (*.f64 5/8 (log.f64 (log1p.f64 (/.f64 1 N)))))
(fma.f64 (sqrt.f64 (*.f64 5/8 (log.f64 (log1p.f64 (/.f64 1 N))))) (sqrt.f64 (*.f64 5/8 (log.f64 (log1p.f64 (/.f64 1 N))))) (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 3/4)) (sqrt.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 3/4)) (*.f64 1/4 (log.f64 (log1p.f64 (/.f64 1 N)))))
(+.f64 0 (log1p.f64 (/.f64 1 N)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) (cbrt.f64 (+.f64 1 (/.f64 1 N))))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(-.f64 (log1p.f64 (pow.f64 N -3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 N -2) (/.f64 1 N)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(-.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 (log1p.f64 (/.f64 1 N)) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)) (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)) (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/4)) (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8)) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/16) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/16) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/16) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/16) (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3)) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (exp.f64 (*.f64 (*.f64 3/2 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3)) (exp.f64 (*.f64 (*.f64 3/2 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3)))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/4))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8)))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (log1p.f64 (/.f64 1 N)) 5/16)) (pow.f64 (log1p.f64 (/.f64 1 N)) 5/16))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/16)) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/16))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/8)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/8))
(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))
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 9/8) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/8) 3) (pow.f64 (log1p.f64 (/.f64 1 N)) 9/8)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 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 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3))
(exp.f64 (*.f64 (*.f64 6 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/6))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 2))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (log1p.f64 (/.f64 1 N)))))
(+.f64 0 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)) (pow.f64 N -1/4))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)) (pow.f64 N -1/4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)) (pow.f64 N -1/4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)) (pow.f64 N -1/4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)) (pow.f64 N -1/4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4)))) 1)
(pow.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 N -1/8)) 2)
(sqrt.f64 (*.f64 (pow.f64 N -1/2) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)) (pow.f64 N -1/4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 3) (pow.f64 (pow.f64 N -1/4) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 N -1/4) 3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4)))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 N -1/8))) 2))
(+.f64 0 (pow.f64 N -1/4))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 N -1/4))) (cbrt.f64 (exp.f64 (pow.f64 N -1/4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 N -1/4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 N -1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 N -1/4)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 N -1/4))) 1)
(*.f64 1 (pow.f64 N -1/4))
(*.f64 (pow.f64 N -1/4) 1)
(*.f64 (pow.f64 N -1/4) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (pow.f64 N -1/4)) (cbrt.f64 (pow.f64 N -1/2)))
(*.f64 (cbrt.f64 (pow.f64 N -1/2)) (cbrt.f64 (pow.f64 N -1/4)))
(*.f64 (pow.f64 N -1/8) (pow.f64 N -1/8))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 N -2)) 1/4) (pow.f64 (/.f64 1 (cbrt.f64 N)) 1/4))
(*.f64 (pow.f64 (pow.f64 N -1/2) 1/4) (pow.f64 (pow.f64 N -1/2) 1/4))
(sqrt.f64 (pow.f64 N -1/2))
(log.f64 (exp.f64 (pow.f64 N -1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 N -1/4))))
(cbrt.f64 (pow.f64 (pow.f64 N -1/4) 3))
(expm1.f64 (log1p.f64 (pow.f64 N -1/4)))
(log1p.f64 (expm1.f64 (pow.f64 N -1/4)))
(exp.f64 (*.f64 -1/4 (log.f64 N)))
(exp.f64 (*.f64 (*.f64 -1/4 (log.f64 N)) 1))
(exp.f64 (*.f64 (log.f64 N) -1/4))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 N)) 1/12))
(exp.f64 (*.f64 (log.f64 (pow.f64 N -2)) 1/8))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 N -1/4))) 3))
(exp.f64 (*.f64 (*.f64 3 (*.f64 -1/4 (log.f64 N))) 1/3))
(exp.f64 (*.f64 (*.f64 -1/8 (log.f64 N)) 2))
Outputs
(pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 5)) 1/8)
(pow.f64 (neg.f64 (pow.f64 (log.f64 N) 5)) 1/8)
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 35)) 1/8) (*.f64 N (+.f64 (*.f64 4 (pow.f64 (log.f64 N) 4)) (pow.f64 (log.f64 N) 4))))) (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 5)) 1/8))
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(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4))
(exp.f64 (log.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4))) 1))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4)))) 3))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4)))) 1/3))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 N -1/8))) 2))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 N -1/4))
(+.f64 0 (pow.f64 N -1/4))
(pow.f64 N -1/4)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 N -1/4))) (cbrt.f64 (exp.f64 (pow.f64 N -1/4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 N -1/4)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 N -1/4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 N -1/4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 N -1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 N -1/4)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 N -1/4)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 N -1/4))) 1)
(expm1.f64 (log1p.f64 (pow.f64 N -1/4)))
(*.f64 1 (pow.f64 N -1/4))
(pow.f64 N -1/4)
(*.f64 (pow.f64 N -1/4) 1)
(pow.f64 N -1/4)
(*.f64 (pow.f64 N -1/4) (log.f64 (exp.f64 1)))
(pow.f64 N -1/4)
(*.f64 (cbrt.f64 (pow.f64 N -1/4)) (cbrt.f64 (pow.f64 N -1/2)))
(*.f64 (cbrt.f64 (pow.f64 N -1/2)) (cbrt.f64 (pow.f64 N -1/4)))
(*.f64 (cbrt.f64 (pow.f64 N -1/4)) (cbrt.f64 (pow.f64 N -1/2)))
(*.f64 (pow.f64 N -1/8) (pow.f64 N -1/8))
(pow.f64 N -1/4)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 N -2)) 1/4) (pow.f64 (/.f64 1 (cbrt.f64 N)) 1/4))
(*.f64 (pow.f64 (pow.f64 N -1/2) 1/4) (pow.f64 (pow.f64 N -1/2) 1/4))
(pow.f64 (pow.f64 N -1/2) 1/2)
(sqrt.f64 (pow.f64 N -1/2))
(sqrt.f64 (pow.f64 N -1/2))
(pow.f64 (pow.f64 N -1/2) 1/2)
(log.f64 (exp.f64 (pow.f64 N -1/4)))
(pow.f64 N -1/4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 N -1/4))))
(pow.f64 N -1/4)
(cbrt.f64 (pow.f64 (pow.f64 N -1/4) 3))
(pow.f64 N -1/4)
(expm1.f64 (log1p.f64 (pow.f64 N -1/4)))
(log1p.f64 (expm1.f64 (pow.f64 N -1/4)))
(pow.f64 N -1/4)
(exp.f64 (*.f64 -1/4 (log.f64 N)))
(pow.f64 N -1/4)
(exp.f64 (*.f64 (*.f64 -1/4 (log.f64 N)) 1))
(pow.f64 N -1/4)
(exp.f64 (*.f64 (log.f64 N) -1/4))
(pow.f64 N -1/4)
(exp.f64 (*.f64 (*.f64 -3 (log.f64 N)) 1/12))
(pow.f64 (pow.f64 N -3) 1/12)
(exp.f64 (*.f64 (log.f64 (pow.f64 N -2)) 1/8))
(pow.f64 (pow.f64 N -2) 1/8)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 N -1/4))) 3))
(pow.f64 N -1/4)
(exp.f64 (*.f64 (*.f64 3 (*.f64 -1/4 (log.f64 N))) 1/3))
(pow.f64 N -1/4)
(exp.f64 (*.f64 (*.f64 -1/8 (log.f64 N)) 2))
(pow.f64 N -1/4)

eval1.3s (12.6%)

Compiler

Compiled 42176 to 34520 computations (18.2% saved)

prune203.0ms (2%)

Pruning

19 alts after pruning (7 fresh and 12 done)

PrunedKeptTotal
New182341827
Fresh437
Picked235
Done099
Total1829191848
Accuracy
100.0%
Counts
1848 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓94.2%
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
✓99.2%
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
98.3%
(pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) 2)
97.9%
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
✓84.6%
(/.f64 1 N)
✓96.4%
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (*.f64 1/2 (pow.f64 N -2)))
19.0%
(-.f64 (+.f64 1 (/.f64 1 N)) 1)
99.7%
(-.f64 (log1p.f64 (pow.f64 N -3)) (log1p.f64 (-.f64 (pow.f64 N -2) (/.f64 1 N))))
99.7%
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (/.f64 -1 N)))
✓96.4%
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
✓99.6%
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
26.5%
(neg.f64 (log.f64 (pow.f64 (/.f64 (+.f64 1 N) N) -1)))
✓27.1%
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓99.8%
(log1p.f64 (/.f64 1 N))
✓26.6%
(log.f64 (/.f64 (+.f64 N 1) N))
✓95.2%
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
✓84.0%
(cbrt.f64 (pow.f64 (/.f64 1 N) 3))
✓98.8%
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
84.0%
(cbrt.f64 (pow.f64 N -3))
Compiler

Compiled 572 to 468 computations (18.2% saved)

regimes22.0ms (0.2%)

Counts
33 → 1
Calls
Call 1
Inputs
(/.f64 1 N)
(-.f64 (+.f64 1 (/.f64 1 N)) 1)
(log1p.f64 (/.f64 1 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(cbrt.f64 (pow.f64 N -3))
(-.f64 (log1p.f64 N) (log.f64 N))
(cbrt.f64 (pow.f64 (/.f64 1 N) 3))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(neg.f64 (log.f64 (pow.f64 (/.f64 (+.f64 1 N) N) -1)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (*.f64 1/2 (pow.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)
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (/.f64 -1 N)))
(cbrt.f64 (-.f64 (/.f64 1 (pow.f64 N 3)) (/.f64 3/2 (pow.f64 N 4))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (/.f64 1 N) 1/4))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) 2)
(-.f64 (log1p.f64 (pow.f64 N -3)) (log1p.f64 (-.f64 (pow.f64 N -2) (/.f64 1 N))))
(cbrt.f64 (+.f64 (/.f64 1 (pow.f64 N 3)) (+.f64 (/.f64 7/4 (pow.f64 N 5)) (/.f64 -3/2 (pow.f64 N 4)))))
(/.f64 (+.f64 (pow.f64 N 5) (*.f64 N (-.f64 (*.f64 1/3 (pow.f64 N 2)) (*.f64 (pow.f64 N 3) 1/2)))) (pow.f64 N 6))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 5)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
(/.f64 1 (/.f64 (+.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) N)) (pow.f64 N -2)) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 3) (pow.f64 N -3))))
Outputs
(log1p.f64 (/.f64 1 N))
Calls

2 calls:

16.0ms
N
5.0ms
(-.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)

regimes3.0ms (0%)

Accuracy

Total -42.0b remaining (-426.7%)

Threshold costs -42b (-426.7%)

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

1 calls:

3.0ms
N
Results
AccuracySegmentsBranch
84.6%1N
Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Rules
3×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
11424
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(log1p.f64 (/.f64 1 N))
(/.f64 1 N)
Outputs
(log1p.f64 (/.f64 1 N))
(/.f64 1 N)
Compiler

Compiled 9 to 7 computations (22.2% saved)

soundness325.0ms (3.2%)

Rules
1182×cancel-sign-sub-inv
1042×unpow-prod-down
1032×unswap-sqr
862×prod-diff
626×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01350
118150
2175850
042510734
1103310117
235529000
Stop Event
1×node limit
1×node limit
Compiler

Compiled 106 to 71 computations (33% saved)

end0.0ms (0%)

preprocess34.0ms (0.3%)

Compiler

Compiled 42 to 32 computations (23.8% saved)

Profiling

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