2log (problem 3.3.6)

Time bar (total: 4.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%3.2%96.8%0%0%0%0
100%3.2%0%96.8%0%0%0%1
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.4s (32.5%)

Memory
13.2MiB live, 1 360.9MiB allocated; 427ms collecting garbage
Samples
1.0s7 269×1valid
55.0ms987×0valid
Precisions
Click to see histograms. Total time spent on operations: 876.0ms
ival-log1p: 333.0ms (38% of total)
ival-log: 225.0ms (25.7% of total)
adjust: 160.0ms (18.3% of total)
ival-sub: 92.0ms (10.5% of total)
ival->: 27.0ms (3.1% of total)
ival-<: 16.0ms (1.8% of total)
ival-and: 11.0ms (1.3% of total)
exact: 10.0ms (1.1% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain130.0ms (2.9%)

Memory
16.5MiB live, 151.3MiB allocated; 22ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2440-1(16.992306533188717)(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
00-0-N
00-0-(log.f64 N)
00-0-(+.f64 N #s(literal 1 binary64))
00-0-(log.f64 (+.f64 N #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))cancellation2435
Confusion
Predicted +Predicted -
+2432
-011
Precision
1.0
Recall
0.9918367346938776
Confusion?
Predicted +Predicted MaybePredicted -
+24320
-038
Precision?
0.9879032258064516
Recall?
1.0
Freqs
test
numberfreq
013
1243
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
67.0ms444×1valid
4.0ms68×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
adjust: 17.0ms (31.6% of total)
ival-log1p: 15.0ms (27.9% of total)
ival-log: 14.0ms (26% of total)
ival-sub: 4.0ms (7.4% of total)
ival-add: 3.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess229.0ms (5.2%)

Memory
43.2MiB live, 204.6MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11119
21419
32519
46119
526717
6231617
7569517
067
0107
1137
2167
3277
4617
52527
621957
754917
086355
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Outputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.6%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 7 to 6 computations (14.3% saved)

series82.0ms (1.9%)

Memory
-24.8MiB live, 58.8MiB allocated; 19ms collecting garbage
Counts
6 → 31
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(log.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(log.f64 N)
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (+ N 1)) #s(hole binary64 N))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (+ N 1)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
Calls

3 calls:

TimeVariablePointExpression
53.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
22.0ms
N
@0
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
6.0ms
N
@inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

simplify208.0ms (4.7%)

Memory
38.7MiB live, 167.5MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122447
1289418
2741417
32898413
08303358
Stop Event
iter limit
node limit
Counts
31 → 31
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (+ N 1)) #s(hole binary64 N))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (+ N 1)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (*.f64 #s(literal -1/2 binary64) N) N (-.f64 N (log.f64 N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N) N (-.f64 N (log.f64 N))))
#s(approx (log (+ N 1)) #s(hole binary64 N))
#s(approx (log (+ N 1)) N)
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ N 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ N 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (log (+ N 1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx N #s(hole binary64 N))
#s(approx N N)
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (log N) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ N 1)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ N 1)) (log.f64 N))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ N 1)) (+.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 N)))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (+ N 1)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)) (log.f64 N)))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (log (+ N 1)) (+.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)) (log.f64 N)))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) N)
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log N) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (+ N 1)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))))
#s(approx (log (+ N 1)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))))
#s(approx (log (+ N 1)) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))))
#s(approx (log (+ N 1)) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log N) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))

rewrite95.0ms (2.1%)

Memory
-41.9MiB live, 59.2MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01017
14117
028714
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
6 → 26
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(log.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(log.f64 N)
Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(log1p.f64 N)
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(log.f64 (-.f64 N #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(log.f64 N)

eval5.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 772 to 194 computations (74.9% saved)

prune6.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New45954
Fresh000
Picked101
Done000
Total46955
Accuracy
99.5%
Counts
55 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.5%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
26.5%
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
26.5%
(-.f64 (log1p.f64 N) (log.f64 N))
26.6%
(-.f64 (log.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (log.f64 N))
29.4%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
93.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
90.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
82.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Compiler

Compiled 276 to 190 computations (31.2% saved)

series102.0ms (2.3%)

Memory
-13.0MiB live, 76.1MiB allocated; 16ms collecting garbage
Counts
32 → 170
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal -1/4 binary64) N)
#s(literal -1/4 binary64)
N
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))
(+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
(*.f64 N N)
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 N)
(log.f64 N)
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (log.f64 N) (log1p.f64 N))
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (/ -1/4 N)))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N)))
#s(approx (/ -1/4 N) #s(hole binary64 (/ -1/4 N)))
#s(approx N #s(hole binary64 N))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (+ 1 N)) #s(hole binary64 N))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) #s(hole binary64 (* -1 (log N))))
#s(approx (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) #s(hole binary64 (- N (log N))))
#s(approx (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (/ (pow N 2) (log N))))
#s(approx (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (* (pow N 2) (+ (* -1 (* N (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))))
#s(approx (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 11/12 (/ 1 (log N)))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))))
#s(approx (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (+ (* 11/12 (/ 1 (log N))) (* N (- (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))) (+ (* 5/6 (/ 1 (log N))) (* 11/12 (/ 1 (pow (log N) 2))))))))))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (pow N 2)))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 N)))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))))
#s(approx (+ (log N) (log (+ 1 N))) #s(hole binary64 (log N)))
#s(approx (+ (log N) (log (+ 1 N))) #s(hole binary64 (+ N (log N))))
#s(approx (+ (log N) (log (+ 1 N))) #s(hole binary64 (+ (log N) (* N (+ 1 (* -1/2 N))))))
#s(approx (+ (log N) (log (+ 1 N))) #s(hole binary64 (+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (log N)))
#s(approx (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (+ (log N) (* -1 N))))
#s(approx (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1)))))
#s(approx (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1)))))
#s(approx (pow (log N) 2) #s(hole binary64 (pow (log N) 2)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 1))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 1/3))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (- 1/3 (* 1/4 (/ 1 N)))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 N))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (+ 1 N)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ 1 N)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)))
#s(approx (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) #s(hole binary64 (/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)))
#s(approx (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) #s(hole binary64 (/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/16 (/ 1 (log (/ 1 N)))) (+ 1/12 (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N)))))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (+ 1/12 (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)))
#s(approx (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (* -1/2 (log (/ 1 N)))))
#s(approx (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (+ (* -1/2 (log (/ 1 N))) (* 3/4 (/ 1 N)))))
#s(approx (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))))
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#s(approx (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))
#s(approx (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))
#s(approx (pow (log N) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
Calls

3 calls:

TimeVariablePointExpression
69.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 N 1/3 1/2 -1 (- (log (+ N 1)) (log N)) (/ 1 N) 1 (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) (* N N) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) 2 (+ (log N) (log (+ 1 N))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) (pow (log N) 2))
16.0ms
N
@0
((- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 N 1/3 1/2 -1 (- (log (+ N 1)) (log N)) (/ 1 N) 1 (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) (* N N) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) 2 (+ (log N) (log (+ 1 N))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) (pow (log N) 2))
13.0ms
N
@inf
((- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 N 1/3 1/2 -1 (- (log (+ N 1)) (log N)) (/ 1 N) 1 (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) (* N N) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) 2 (+ (log N) (log (+ 1 N))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) (pow (log N) 2))

simplify177.0ms (4%)

Memory
35.0MiB live, 178.6MiB allocated; 49ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07187023
119846045
080295672
Stop Event
iter limit
node limit
Counts
170 → 170
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
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#s(approx (/ -1/4 N) #s(hole binary64 (/ -1/4 N)))
#s(approx N #s(hole binary64 N))
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#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (* -1 (log N))))
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#s(approx (log (+ 1 N)) #s(hole binary64 N))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
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#s(approx (log N) #s(hole binary64 (log N)))
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#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (pow N 2)))
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#s(approx (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))
#s(approx (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))
#s(approx (pow (log N) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ 1 N)) (log N)) (neg.f64 (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ 1 N)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ 1 N)) (log N)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (- (log (+ 1 N)) (log N)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))))
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#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N)))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) N) N))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N) N))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 #s(literal -1/4 binary64) (*.f64 N N)))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) N) N))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (/ -1/4 N)))
#s(approx (+ (/ -1/4 N) 1/3) (/.f64 #s(literal -1/4 binary64) N))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N)))
#s(approx (+ (/ -1/4 N) 1/3) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) N))
#s(approx (/ -1/4 N) #s(hole binary64 (/ -1/4 N)))
#s(approx (/ -1/4 N) (/.f64 #s(literal -1/4 binary64) N))
#s(approx N #s(hole binary64 N))
#s(approx N N)
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (- (/ 1/3 N) 1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ 1/3 N) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (* N N) (*.f64 N N))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ 1 N)) (log N)) (neg.f64 (log.f64 N)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ 1 N)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ 1 N)) (log N)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (- (log (+ 1 N)) (log N)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (log (+ 1 N)) #s(hole binary64 N))
#s(approx (log (+ 1 N)) N)
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ 1 N)) (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ 1 N)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (log (+ 1 N)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (log N) (log.f64 N))
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#s(approx (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) (neg.f64 (log.f64 N)))
#s(approx (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) #s(hole binary64 (- N (log N))))
#s(approx (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) (-.f64 N (log.f64 N)))
#s(approx (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (/ (pow N 2) (log N))))
#s(approx (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (*.f64 (/.f64 N (log.f64 N)) N))
#s(approx (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (* (pow N 2) (+ (* -1 (* N (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))))
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#s(approx (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 11/12 (/ 1 (log N)))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))))
#s(approx (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (fma.f64 (-.f64 (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -11/12 binary64) (log.f64 N)))) N) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 N)))) (pow.f64 N #s(literal 3 binary64)) (*.f64 (/.f64 N (log.f64 N)) N)))
#s(approx (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (+ (* 11/12 (/ 1 (log N))) (* N (- (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))) (+ (* 5/6 (/ 1 (log N))) (* 11/12 (/ 1 (pow (log N) 2))))))))))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))))
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#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (pow N 2)))
#s(approx (pow (log (+ 1 N)) 2) (*.f64 N N))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 N)))))
#s(approx (pow (log (+ 1 N)) 2) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) N) N))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))))
#s(approx (pow (log (+ 1 N)) 2) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 11/12 binary64) N) #s(literal 1 binary64)) N #s(literal 1 binary64)) N) N))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))))
#s(approx (pow (log (+ 1 N)) 2) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/6 binary64) N #s(literal 11/12 binary64)) N) #s(literal 1 binary64)) N #s(literal 1 binary64)) N) N))
#s(approx (+ (log N) (log (+ 1 N))) #s(hole binary64 (log N)))
#s(approx (+ (log N) (log (+ 1 N))) (log.f64 N))
#s(approx (+ (log N) (log (+ 1 N))) #s(hole binary64 (+ N (log N))))
#s(approx (+ (log N) (log (+ 1 N))) (+.f64 (log.f64 N) N))
#s(approx (+ (log N) (log (+ 1 N))) #s(hole binary64 (+ (log N) (* N (+ 1 (* -1/2 N))))))
#s(approx (+ (log N) (log (+ 1 N))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (log.f64 N)))
#s(approx (+ (log N) (log (+ 1 N))) #s(hole binary64 (+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (+ (log N) (log (+ 1 N))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (log.f64 N)))
#s(approx (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (log N)))
#s(approx (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) (log.f64 N))
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#s(approx (pow (log (+ 1 N)) 2) (fma.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (neg.f64 N))) N) #s(literal -1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
#s(approx (pow (log (+ 1 N)) 2) (fma.f64 (/.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64)) N)) N)) N) #s(literal -1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))))
#s(approx (+ (log N) (log (+ 1 N))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
#s(approx (+ (log N) (log (+ 1 N))) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))
#s(approx (+ (log N) (log (+ 1 N))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (+ (* 2 (log -1)) (/ 1 N)))))
#s(approx (+ (log N) (log (+ 1 N))) (fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) N)))
#s(approx (+ (log N) (log (+ 1 N))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) (* 2 (log -1))))))
#s(approx (+ (log N) (log (+ 1 N))) (fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N))))
#s(approx (+ (log N) (log (+ 1 N))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) (* 2 (log -1))))))
#s(approx (+ (log N) (log (+ 1 N))) (fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N))))
#s(approx (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))
#s(approx (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))))))
#s(approx (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))
#s(approx (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) N)) #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))))
#s(approx (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))
#s(approx (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 3 binary64)))) N) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)))) N) #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))))
#s(approx (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))
#s(approx (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) N) (neg.f64 (+.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 3 binary64)) N)) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 4 binary64)) N))))) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 3 binary64))))) N) #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)))) N) #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))))
#s(approx (pow (log N) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
#s(approx (pow (log N) 2) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))

rewrite89.0ms (2%)

Memory
-31.0MiB live, 79.4MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036218
059196
1255196
01902196
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
32 → 258
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal -1/4 binary64) N)
#s(literal -1/4 binary64)
N
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))
(+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
(*.f64 N N)
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 N)
(log.f64 N)
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (log.f64 N) (log1p.f64 N))
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N))) (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N) (*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)))) (neg.f64 (neg.f64 N)))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (*.f64 N #s(literal -1 binary64))) (*.f64 N N))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)) N))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64))) N))
(/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) (neg.f64 N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) N))
(neg.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (neg.f64 N)))
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))) (neg.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (*.f64 (/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (-.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(*.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
(neg.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))))
(*.f64 (neg.f64 (log1p.f64 N)) (neg.f64 (log1p.f64 N)))
(*.f64 (fabs.f64 (log1p.f64 N)) (fabs.f64 (log1p.f64 N)))
(*.f64 (exp.f64 (log.f64 (log1p.f64 N))) (exp.f64 (log.f64 (log1p.f64 N))))
(*.f64 (log1p.f64 N) (log1p.f64 N))
(pow.f64 (exp.f64 (log.f64 (log1p.f64 N))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(+.f64 (cosh.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) (log1p.f64 N)))
#s(literal 2 binary64)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log1p.f64 N) (log1p.f64 N) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N)))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) (log.f64 N))
(fma.f64 (pow.f64 (log.f64 N) #s(literal 1/2 binary64)) (pow.f64 (log.f64 N) #s(literal 1/2 binary64)) (log1p.f64 N))
(-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))))
(+.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(+.f64 (log.f64 N) (log1p.f64 N))
(+.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (fma.f64 N N N))
(*.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (-.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(*.f64 (log.f64 N) (/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
(neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))))
(*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))
(*.f64 (fabs.f64 (log.f64 N)) (fabs.f64 (log.f64 N)))
(*.f64 (exp.f64 (log.f64 (log.f64 N))) (exp.f64 (log.f64 (log.f64 N))))
(*.f64 (log.f64 N) (log.f64 N))
(pow.f64 (exp.f64 (log.f64 (log.f64 N))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(+.f64 (cosh.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64)))
(log.f64 (pow.f64 N (log.f64 N)))

eval66.0ms (1.5%)

Memory
12.9MiB live, 100.9MiB allocated; 21ms collecting garbage
Compiler

Compiled 17 909 to 2 168 computations (87.9% saved)

prune46.0ms (1%)

Memory
4.1MiB live, 49.9MiB allocated; 6ms collecting garbage
Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New52117538
Fresh134
Picked145
Done000
Total52324547
Accuracy
99.5%
Counts
547 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.5%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
26.5%
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)))))
26.3%
(-.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
26.3%
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))
24.2%
(-.f64 (/.f64 (log.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) (log1p.f64 N))) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
26.5%
(-.f64 (log1p.f64 N) (log.f64 N))
26.6%
(-.f64 (log.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (log.f64 N))
29.4%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
93.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N))
95.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N) (*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))))))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)) N)))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
93.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
82.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N))
91.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
93.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
90.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
95.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) N))
93.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
82.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))
82.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
93.7%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N))))
Compiler

Compiled 1 296 to 739 computations (43% saved)

series48.0ms (1.1%)

Memory
4.5MiB live, 59.8MiB allocated; 13ms collecting garbage
Counts
41 → 195
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
#s(literal 1/3 binary64)
(/.f64 #s(literal -1/4 binary64) N)
#s(literal -1/4 binary64)
N
(+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))
(/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N))
#s(approx (+ (- (/ 1/3 N) 1/2) N) N)
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))
(/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N)
#s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))
(/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N)
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) N)
(-.f64 (log.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (log.f64 N))
(log.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 N N (-.f64 #s(literal 1 binary64) N))
(-.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
(log.f64 N)
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (/ (+ 1/3 (/ -1/4 N)) N) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (/ (+ 1/3 (/ -1/4 N)) N) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (+ 1/3 (/ -1/4 N)) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (+ 1/3 (/ -1/4 N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (+ 1/3 (/ -1/4 N)) #s(hole binary64 (/ -1/4 N)))
#s(approx (+ 1/3 (/ -1/4 N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N)))
#s(approx (/ -1/4 N) #s(hole binary64 (/ -1/4 N)))
#s(approx N #s(hole binary64 N))
#s(approx (+ (/ 1/2 N) -1) #s(hole binary64 (/ 1/2 N)))
#s(approx (+ (/ 1/2 N) -1) #s(hole binary64 (/ (+ 1/2 (* -1 N)) N)))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (/ -1/4 N)))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N)))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (/ -1 N) #s(hole binary64 (/ -1 N)))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 N))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(hole binary64 1))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(hole binary64 (+ 1 N)))
#s(approx (- (pow N 3) -1) #s(hole binary64 1))
#s(approx (- (pow N 3) -1) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (pow N 3) #s(hole binary64 (pow N 3)))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 1))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (+ 1 (* N (- N 1)))))
#s(approx (- 1 N) #s(hole binary64 1))
#s(approx (- 1 N) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) #s(hole binary64 1))
#s(approx (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (/ (/ (+ 1/3 (/ -1/4 N)) N) N) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ (/ (+ 1/3 (/ -1/4 N)) N) N) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))))
#s(approx (/ (+ 1/3 (/ -1/4 N)) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (+ 1/3 (/ -1/4 N)) N) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
#s(approx (+ 1/3 (/ -1/4 N)) #s(hole binary64 1/3))
#s(approx (+ 1/3 (/ -1/4 N)) #s(hole binary64 (- 1/3 (* 1/4 (/ 1 N)))))
#s(approx (+ (/ 1/2 N) -1) #s(hole binary64 -1))
#s(approx (+ (/ 1/2 N) -1) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 N))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 1))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 1/3))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (- 1/3 (* 1/4 (/ 1 N)))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2))))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) (pow N 2))))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)))
#s(approx (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(hole binary64 N))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (pow N 3) -1) #s(hole binary64 (pow N 3)))
#s(approx (- (pow N 3) -1) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 N)))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))
#s(approx (- 1 N) #s(hole binary64 (* -1 N)))
#s(approx (- 1 N) #s(hole binary64 (* N (- (/ 1 N) 1))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))))
#s(approx (/ (+ 1/3 (/ -1/4 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (pow N 2))))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))))
#s(approx (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))))
#s(approx (- 1 N) #s(hole binary64 (* -1 (* N (- 1 (/ 1 N))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
Calls

3 calls:

TimeVariablePointExpression
25.0ms
N
@inf
((- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (/ (+ 1/3 (/ -1/4 N)) N) (+ 1/3 (/ -1/4 N)) 1/3 (/ -1/4 N) -1/4 N (+ (/ 1/2 N) -1) (/ 1/2 N) 1/2 -1 (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (* N N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (- (log (+ N 1)) (log N)) (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) (/ -1 N) (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) (- (pow N 3) -1) (pow N 3) 3 (+ (* N N) (- 1 N)) (- 1 N) 1 (log N))
11.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (/ (+ 1/3 (/ -1/4 N)) N) (+ 1/3 (/ -1/4 N)) 1/3 (/ -1/4 N) -1/4 N (+ (/ 1/2 N) -1) (/ 1/2 N) 1/2 -1 (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (* N N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (- (log (+ N 1)) (log N)) (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) (/ -1 N) (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) (- (pow N 3) -1) (pow N 3) 3 (+ (* N N) (- 1 N)) (- 1 N) 1 (log N))
9.0ms
N
@0
((- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (/ (+ 1/3 (/ -1/4 N)) N) (+ 1/3 (/ -1/4 N)) 1/3 (/ -1/4 N) -1/4 N (+ (/ 1/2 N) -1) (/ 1/2 N) 1/2 -1 (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (* N N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (- (log (+ N 1)) (log N)) (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) (/ -1 N) (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) (- (pow N 3) -1) (pow N 3) 3 (+ (* N N) (- 1 N)) (- 1 N) 1 (log N))

simplify146.0ms (3.3%)

Memory
8.3MiB live, 141.8MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03943873
17523740
219983677
377693677
080373553
Stop Event
iter limit
node limit
Counts
195 → 195
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (/ (+ 1/3 (/ -1/4 N)) N) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (/ (+ 1/3 (/ -1/4 N)) N) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (+ 1/3 (/ -1/4 N)) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (+ 1/3 (/ -1/4 N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (+ 1/3 (/ -1/4 N)) #s(hole binary64 (/ -1/4 N)))
#s(approx (+ 1/3 (/ -1/4 N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N)))
#s(approx (/ -1/4 N) #s(hole binary64 (/ -1/4 N)))
#s(approx N #s(hole binary64 N))
#s(approx (+ (/ 1/2 N) -1) #s(hole binary64 (/ 1/2 N)))
#s(approx (+ (/ 1/2 N) -1) #s(hole binary64 (/ (+ 1/2 (* -1 N)) N)))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (/ -1/4 N)))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N)))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (/ -1 N) #s(hole binary64 (/ -1 N)))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 N))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(hole binary64 1))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(hole binary64 (+ 1 N)))
#s(approx (- (pow N 3) -1) #s(hole binary64 1))
#s(approx (- (pow N 3) -1) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (pow N 3) #s(hole binary64 (pow N 3)))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 1))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (+ 1 (* N (- N 1)))))
#s(approx (- 1 N) #s(hole binary64 1))
#s(approx (- 1 N) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) #s(hole binary64 1))
#s(approx (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (/ (/ (+ 1/3 (/ -1/4 N)) N) N) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ (/ (+ 1/3 (/ -1/4 N)) N) N) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))))
#s(approx (/ (+ 1/3 (/ -1/4 N)) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (+ 1/3 (/ -1/4 N)) N) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
#s(approx (+ 1/3 (/ -1/4 N)) #s(hole binary64 1/3))
#s(approx (+ 1/3 (/ -1/4 N)) #s(hole binary64 (- 1/3 (* 1/4 (/ 1 N)))))
#s(approx (+ (/ 1/2 N) -1) #s(hole binary64 -1))
#s(approx (+ (/ 1/2 N) -1) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 N))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 1))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 1/3))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (- 1/3 (* 1/4 (/ 1 N)))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2))))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) (pow N 2))))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)))
#s(approx (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(hole binary64 N))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (pow N 3) -1) #s(hole binary64 (pow N 3)))
#s(approx (- (pow N 3) -1) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 N)))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))
#s(approx (- 1 N) #s(hole binary64 (* -1 N)))
#s(approx (- 1 N) #s(hole binary64 (* N (- (/ 1 N) 1))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))))
#s(approx (/ (+ 1/3 (/ -1/4 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (pow N 2))))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))))
#s(approx (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))))
#s(approx (- 1 N) #s(hole binary64 (* -1 (* N (- 1 (/ 1 N))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (*.f64 #s(literal -1/2 binary64) N) N (-.f64 N (log.f64 N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N) N (-.f64 N (log.f64 N))))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
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#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 (+.f64 N (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64))) (*.f64 N N)))
#s(approx (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)))
#s(approx (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/.f64 (+.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64)) N) N))
#s(approx (/ (+ 1/3 (/ -1/4 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) (-.f64 N #s(literal 1/2 binary64)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) (-.f64 (-.f64 N (/.f64 #s(literal -1/3 binary64) N)) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 (+.f64 N (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64))) (*.f64 N N)))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/.f64 (+.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64)) N) N))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64)) N))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
#s(approx (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 (+.f64 N (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64))) (*.f64 N N)))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (pow N 2))))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64)) N) N))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64)) N))
#s(approx (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
#s(approx (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64)))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (/.f64 (+.f64 N (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64))) (*.f64 N N)))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))))
#s(approx (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))))
#s(approx (+ (* N N) (- 1 N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
#s(approx (- 1 N) #s(hole binary64 (* -1 (* N (- 1 (/ 1 N))))))
#s(approx (- 1 N) (-.f64 #s(literal 1 binary64) N))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log N) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))

rewrite131.0ms (3%)

Memory
-10.3MiB live, 91.2MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050377
078362
1340335
02947328
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
41 → 381
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
#s(literal 1/3 binary64)
(/.f64 #s(literal -1/4 binary64) N)
#s(literal -1/4 binary64)
N
(+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))
(/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N))
#s(approx (+ (- (/ 1/3 N) 1/2) N) N)
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))
(/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N)
#s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))
(/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N)
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) N)
(-.f64 (log.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (log.f64 N))
(log.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 N N (-.f64 #s(literal 1 binary64) N))
(-.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
(log.f64 N)
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N (*.f64 (neg.f64 N) #s(literal -1 binary64))) (neg.f64 N)) (neg.f64 N))
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N (*.f64 (neg.f64 N) #s(literal -1 binary64))) (fabs.f64 N)) (fabs.f64 N))
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N (*.f64 (neg.f64 N) #s(literal -1 binary64))) N) N)
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)))
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(fma.f64 (*.f64 N (fabs.f64 N)) (fabs.f64 N) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 N) N) (neg.f64 N) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 N #s(literal 3/2 binary64))) (neg.f64 (pow.f64 N #s(literal 3/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (pow.f64 N #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 N #s(literal 3/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 N) (*.f64 (neg.f64 N) N) #s(literal 1 binary64))
(fma.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) N) #s(literal 1 binary64))
(fma.f64 (*.f64 N N) N #s(literal 1 binary64))
(fma.f64 N (*.f64 N N) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 N #s(literal 9 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 N #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 N #s(literal 6 binary64)))))
(-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(*.f64 (*.f64 N (fabs.f64 N)) (fabs.f64 N))
(*.f64 (*.f64 (neg.f64 N) N) (neg.f64 N))
(*.f64 (neg.f64 (pow.f64 N #s(literal 3/2 binary64))) (neg.f64 (pow.f64 N #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 N #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 N #s(literal 3/2 binary64))))
(*.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)))
(*.f64 (neg.f64 N) (*.f64 (neg.f64 N) N))
(*.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) N))
(*.f64 (*.f64 N N) N)
(*.f64 N (*.f64 N N))
(pow.f64 (exp.f64 (log.f64 N)) #s(literal 3 binary64))
(pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal 3/2 binary64))
(pow.f64 N #s(literal 3 binary64))
(+.f64 (cosh.f64 (*.f64 (log.f64 N) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 N) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 N) #s(literal 3 binary64)))
#s(literal 3 binary64)
(/.f64 (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N N)) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N (*.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 N N #s(literal -1 binary64))) (-.f64 N #s(literal 1 binary64)) (*.f64 N N))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (*.f64 N N))
(fma.f64 (pow.f64 N #s(literal 1 binary64)) (pow.f64 N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (neg.f64 N) (neg.f64 N) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (fabs.f64 N) (fabs.f64 N) (-.f64 #s(literal 1 binary64) N))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N) (*.f64 N N))
(fma.f64 N N (-.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
(-.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 (neg.f64 N) N))
(-.f64 #s(literal 1 binary64) (-.f64 N (*.f64 N N)))
(+.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64)))))
(+.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N))
(+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 N N #s(literal -1 binary64))) (-.f64 N #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 N #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 N #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))) (/.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(log.f64 N)

eval85.0ms (1.9%)

Memory
-26.0MiB live, 113.9MiB allocated; 33ms collecting garbage
Compiler

Compiled 16 070 to 2 344 computations (85.4% saved)

prune29.0ms (0.6%)

Memory
17.8MiB live, 64.7MiB allocated; 3ms collecting garbage
Pruning

28 alts after pruning (22 fresh and 6 done)

PrunedKeptTotal
New53110541
Fresh31215
Picked325
Done044
Total53728565
Accuracy
99.6%
Counts
565 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.5%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
26.5%
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)))))
26.3%
(-.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
26.3%
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))
24.2%
(-.f64 (/.f64 (log.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) (log1p.f64 N))) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
26.5%
(-.f64 (log1p.f64 N) (log.f64 N))
26.5%
(-.f64 (log.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (log.f64 N))
29.4%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
91.2%
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
95.1%
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (/.f64 (+.f64 N (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64))) (*.f64 N N)))
93.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N))
94.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) #s(literal 2 binary64)))))
95.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N) (*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))))))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)) N)))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
93.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
82.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
93.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
90.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
93.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
82.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))
82.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))
95.0%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (*.f64 N N)) (/.f64 (*.f64 #s(literal -1 binary64) N) (*.f64 N N))))
91.2%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
Compiler

Compiled 1 556 to 886 computations (43.1% saved)

series16.0ms (0.4%)

Memory
21.4MiB live, 21.4MiB allocated; 0ms collecting garbage
Counts
44 → 210
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N))
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal -1/4 binary64) N)
#s(literal -1/4 binary64)
N
#s(literal 1/3 binary64)
(*.f64 N N)
(+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
(/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))
(+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N)
#s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64))
(/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N)
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N)))
(/.f64 #s(literal -1/4 binary64) (*.f64 N N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) #s(literal 2 binary64))))
(-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64)))
(pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
#s(literal 3 binary64)
(pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) N)
(fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (+ (/ -1/4 N) 1/3) (* N N)) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (+ (/ -1/4 N) 1/3) (* N N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (/ -1/4 N)))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N)))
#s(approx (/ -1/4 N) #s(hole binary64 (/ -1/4 N)))
#s(approx N #s(hole binary64 N))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (+ (/ 1/2 N) -1) #s(hole binary64 (/ 1/2 N)))
#s(approx (+ (/ 1/2 N) -1) #s(hole binary64 (/ (+ 1/2 (* -1 N)) N)))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (/ -1/4 (* N N)) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (log N))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ (- N -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- N -1) N) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (/ -1/64 (pow N 12))))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (/ (- (* 1/16 N) 1/64) (pow N 12))))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 12))))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 12))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) #s(hole binary64 (/ -1/64 (pow N 12))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* 1/16 N) 1/64) (pow N 12))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 12))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 12))))
#s(approx (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (pow (/ -1 N) 3) #s(hole binary64 (/ -1 (pow N 3))))
#s(approx (/ -1 N) #s(hole binary64 (/ -1 N)))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) #s(hole binary64 (/ 1/16 (pow N 8))))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) #s(hole binary64 (/ (+ 1/16 (* -1/6 N)) (pow N 8))))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) #s(hole binary64 (/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 8))))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) #s(hole binary64 (/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 8))))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- (* -1 N) 1/2)))) 1/4) (pow N 4))))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- (* -1 N) 1/2)))) 1/4) (pow N 3))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) #s(hole binary64 (/ 1/16 (pow N 8))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) #s(hole binary64 (/ (+ 1/16 (* -1/6 N)) (pow N 8))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) #s(hole binary64 (/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 8))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) #s(hole binary64 (/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/3 N))) 1/6))) (pow N 8))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 1))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (/ (+ (/ -1/4 N) 1/3) (* N N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ (+ (/ -1/4 N) 1/3) (* N N)) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 1/3))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (- 1/3 (* 1/4 (/ 1 N)))))
#s(approx (+ (/ 1/2 N) -1) #s(hole binary64 -1))
#s(approx (+ (/ 1/2 N) -1) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 N))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 1))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ 1 N)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- N -1) N) #s(hole binary64 1))
#s(approx (/ (- N -1) N) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (/ (- 1 (* 1/8 (/ 1 (pow N 3)))) (pow N 3))))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (/ (- (+ 1 (/ 1/4 (pow N 4))) (* 1/8 (/ 1 (pow N 3)))) (pow N 3))))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (/ (- (+ 1 (/ 1/4 (pow N 4))) (+ (* 1/8 (/ 1 (pow N 3))) (* 17/48 (/ 1 (pow N 5))))) (pow N 3))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) #s(hole binary64 (/ -1/8 (pow N 6))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* 1/4 (/ 1 N)) 1/8) (pow N 6))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* 1/4 (/ 1 N)) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 6))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (+ (* 1/4 (/ 1 N)) (* 31/108 (/ 1 (pow N 3)))) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 6))))
#s(approx (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2))))
#s(approx (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) (pow N 2))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) #s(hole binary64 (/ (+ 1 (* 1/2 (/ 1 N))) (pow N 2))))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))) (pow N 2))))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) (pow N 2))) (* 1/2 (/ 1 N)))) (pow N 2))))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ -1 N)))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (/ 1/3 (pow N 2)) (+ 1 (* 1/2 (/ 1 N)))) N)))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (/ 1/3 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))) N)))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 -1))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (* -1 (+ 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (/ 1/3 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (/ 1/3 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) #s(hole binary64 (/ 1/4 (pow N 4))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) #s(hole binary64 (/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 4))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) #s(hole binary64 (/ (- (+ 1/4 (/ 13/36 (pow N 2))) (* 1/3 (/ 1 N))) (pow N 4))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) #s(hole binary64 (/ (- (+ 1/4 (/ 13/36 (pow N 2))) (+ (* 1/3 (/ 1 N)) (* 1/6 (/ 1 (pow N 3))))) (pow N 4))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (* -1 (/ (- (* 1/8 (/ 1 (pow N 3))) 1) (pow N 3)))))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/8) (pow N 3))) 1) (pow N 3)))))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 17/48 (/ 1 N)) 1/4) N)) 1/8) (pow N 3))) 1) (pow N 3)))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* -1 (/ (- (* 17/48 (/ 1 N)) 1/4) N)) 1/8) (pow N 6))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* 31/108 (/ 1 N)) 17/48) N)) 1/4) N)) 1/8) (pow N 6))))
#s(approx (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) #s(hole binary64 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (pow N 2))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) #s(hole binary64 (/ (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))) (pow N 2))))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) #s(hole binary64 (/ (+ 1 (* -1 (/ (- (+ (/ 1/12 (pow N 2)) (* 1/12 (/ 1 N))) 1/2) N))) (pow N 2))))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))) N))))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))) N))))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) 1)))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) 1)))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) #s(hole binary64 (/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 4))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) #s(hole binary64 (/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 4))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
N
@inf
((- (log (+ N 1)) (log N)) (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 N 1/3 (* N N) (+ (/ 1/2 N) -1) (/ 1/2 N) 1/2 -1 (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) -1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ -1/4 (* N N)) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) (- (log (+ N 1)) (log N)) (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ (+ (/ -1/4 N) 1/3) N) 3 (pow (/ -1 N) 3) (/ -1 N) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) 2)
4.0ms
N
@0
((- (log (+ N 1)) (log N)) (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 N 1/3 (* N N) (+ (/ 1/2 N) -1) (/ 1/2 N) 1/2 -1 (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) -1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ -1/4 (* N N)) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) (- (log (+ N 1)) (log N)) (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ (+ (/ -1/4 N) 1/3) N) 3 (pow (/ -1 N) 3) (/ -1 N) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) 2)
4.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 N 1/3 (* N N) (+ (/ 1/2 N) -1) (/ 1/2 N) 1/2 -1 (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) -1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ -1/4 (* N N)) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) (- (log (+ N 1)) (log N)) (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ (+ (/ -1/4 N) 1/3) N) 3 (pow (/ -1 N) 3) (/ -1 N) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) 2)

simplify172.0ms (3.9%)

Memory
-14.9MiB live, 212.2MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05545345
112085191
237335161
085455031
Stop Event
iter limit
node limit
Counts
210 → 210
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (+ (/ -1/4 N) 1/3) (* N N)) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (+ (/ -1/4 N) 1/3) (* N N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (/ -1/4 N)))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N)))
#s(approx (/ -1/4 N) #s(hole binary64 (/ -1/4 N)))
#s(approx N #s(hole binary64 N))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (+ (/ 1/2 N) -1) #s(hole binary64 (/ 1/2 N)))
#s(approx (+ (/ 1/2 N) -1) #s(hole binary64 (/ (+ 1/2 (* -1 N)) N)))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (/ -1/4 (* N N)) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (log N))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ (- N -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- N -1) N) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (/ -1/64 (pow N 12))))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (/ (- (* 1/16 N) 1/64) (pow N 12))))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 12))))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 12))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) #s(hole binary64 (/ -1/64 (pow N 12))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* 1/16 N) 1/64) (pow N 12))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 12))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 12))))
#s(approx (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (pow (/ -1 N) 3) #s(hole binary64 (/ -1 (pow N 3))))
#s(approx (/ -1 N) #s(hole binary64 (/ -1 N)))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) #s(hole binary64 (/ 1/16 (pow N 8))))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) #s(hole binary64 (/ (+ 1/16 (* -1/6 N)) (pow N 8))))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) #s(hole binary64 (/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 8))))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) #s(hole binary64 (/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 8))))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- (* -1 N) 1/2)))) 1/4) (pow N 4))))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- (* -1 N) 1/2)))) 1/4) (pow N 3))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) #s(hole binary64 (/ 1/16 (pow N 8))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) #s(hole binary64 (/ (+ 1/16 (* -1/6 N)) (pow N 8))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) #s(hole binary64 (/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 8))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) #s(hole binary64 (/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/3 N))) 1/6))) (pow N 8))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 1))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (/ (+ (/ -1/4 N) 1/3) (* N N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ (+ (/ -1/4 N) 1/3) (* N N)) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 1/3))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (- 1/3 (* 1/4 (/ 1 N)))))
#s(approx (+ (/ 1/2 N) -1) #s(hole binary64 -1))
#s(approx (+ (/ 1/2 N) -1) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 N))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 1))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ 1 N)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- N -1) N) #s(hole binary64 1))
#s(approx (/ (- N -1) N) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (/ (- 1 (* 1/8 (/ 1 (pow N 3)))) (pow N 3))))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (/ (- (+ 1 (/ 1/4 (pow N 4))) (* 1/8 (/ 1 (pow N 3)))) (pow N 3))))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (/ (- (+ 1 (/ 1/4 (pow N 4))) (+ (* 1/8 (/ 1 (pow N 3))) (* 17/48 (/ 1 (pow N 5))))) (pow N 3))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) #s(hole binary64 (/ -1/8 (pow N 6))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* 1/4 (/ 1 N)) 1/8) (pow N 6))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* 1/4 (/ 1 N)) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 6))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (+ (* 1/4 (/ 1 N)) (* 31/108 (/ 1 (pow N 3)))) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 6))))
#s(approx (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2))))
#s(approx (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) (pow N 2))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) #s(hole binary64 (/ (+ 1 (* 1/2 (/ 1 N))) (pow N 2))))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) #s(hole binary64 (/ (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))) (pow N 2))))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) (pow N 2))) (* 1/2 (/ 1 N)))) (pow N 2))))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ -1 N)))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (/ 1/3 (pow N 2)) (+ 1 (* 1/2 (/ 1 N)))) N)))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (/ 1/3 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))) N)))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 -1))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (* -1 (+ 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (/ 1/3 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (/ 1/3 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) #s(hole binary64 (/ 1/4 (pow N 4))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) #s(hole binary64 (/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 4))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) #s(hole binary64 (/ (- (+ 1/4 (/ 13/36 (pow N 2))) (* 1/3 (/ 1 N))) (pow N 4))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) #s(hole binary64 (/ (- (+ 1/4 (/ 13/36 (pow N 2))) (+ (* 1/3 (/ 1 N)) (* 1/6 (/ 1 (pow N 3))))) (pow N 4))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (* -1 (/ (- (* 1/8 (/ 1 (pow N 3))) 1) (pow N 3)))))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/8) (pow N 3))) 1) (pow N 3)))))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 17/48 (/ 1 N)) 1/4) N)) 1/8) (pow N 3))) 1) (pow N 3)))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* -1 (/ (- (* 17/48 (/ 1 N)) 1/4) N)) 1/8) (pow N 6))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* 31/108 (/ 1 N)) 17/48) N)) 1/4) N)) 1/8) (pow N 6))))
#s(approx (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) #s(hole binary64 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (pow N 2))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) #s(hole binary64 (/ (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))) (pow N 2))))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) #s(hole binary64 (/ (+ 1 (* -1 (/ (- (+ (/ 1/12 (pow N 2)) (* 1/12 (/ 1 N))) 1/2) N))) (pow N 2))))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))) N))))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))) N))))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) 1)))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) 1)))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) #s(hole binary64 (/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 4))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) #s(hole binary64 (/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 4))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64)) N))
#s(approx (- (/ (+ (/ -1/4 N) 1/3) (* N N)) (+ (/ 1/2 N) -1)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (+ (/ -1/4 N) 1/3) (* N N)) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (+ (/ -1/4 N) 1/3) (* N N)) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (+ (/ -1/4 N) 1/3) (* N N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (+ (/ -1/4 N) 1/3) (* N N)) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (/ -1/4 N)))
#s(approx (+ (/ -1/4 N) 1/3) (/.f64 #s(literal -1/4 binary64) N))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N)))
#s(approx (+ (/ -1/4 N) 1/3) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)))
#s(approx (/ -1/4 N) #s(hole binary64 (/ -1/4 N)))
#s(approx (/ -1/4 N) (/.f64 #s(literal -1/4 binary64) N))
#s(approx N #s(hole binary64 N))
#s(approx N N)
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (* N N) (*.f64 N N))
#s(approx (+ (/ 1/2 N) -1) #s(hole binary64 (/ 1/2 N)))
#s(approx (+ (/ 1/2 N) -1) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (+ (/ 1/2 N) -1) #s(hole binary64 (/ (+ 1/2 (* -1 N)) N)))
#s(approx (+ (/ 1/2 N) -1) (/.f64 (-.f64 #s(literal 1/2 binary64) N) N))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ 1/2 N) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 #s(literal 1/3 binary64) N))
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#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 17/48 (/ 1 N)) 1/4) N)) 1/8) (pow N 3))) 1) (pow N 3)))))
#s(approx (- (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 17/48 binary64) N) #s(literal 1/4 binary64)) N) #s(literal -1 binary64) #s(literal -1/8 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal -1 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* -1 (/ (- (* 17/48 (/ 1 N)) 1/4) N)) 1/8) (pow N 6))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 17/48 binary64) N) #s(literal 1/4 binary64)) N) #s(literal -1 binary64) #s(literal -1/8 binary64)) (pow.f64 N #s(literal 6 binary64))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* 31/108 (/ 1 N)) 17/48) N)) 1/4) N)) 1/8) (pow N 6))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 3) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 31/108 binary64) N) #s(literal 17/48 binary64)) N) #s(literal -1 binary64) #s(literal -1/4 binary64)) N) #s(literal -1 binary64) #s(literal -1/8 binary64)) (pow.f64 N #s(literal 6 binary64))))
#s(approx (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) #s(hole binary64 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (pow N 2))))
#s(approx (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) N))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) #s(hole binary64 (/ (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))) (pow N 2))))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/2 binary64)) N)) N) N))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) #s(hole binary64 (/ (+ 1 (* -1 (/ (- (+ (/ 1/12 (pow N 2)) (* 1/12 (/ 1 N))) 1/2) N))) (pow N 2))))
#s(approx (+ (* (/ -1 N) (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N)) (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/12 binary64)) N) #s(literal 1/2 binary64)) N)) N) N))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))) N))))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))) N))))
#s(approx (/ (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal 1 binary64)) N))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) 1)))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) 1)))
#s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) #s(hole binary64 (/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 4))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 13/36 binary64) N)) N)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) #s(hole binary64 (/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 4))))
#s(approx (pow (/ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) 2) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 13/36 binary64) (/.f64 #s(literal 1/6 binary64) N)) N)) N)) (pow.f64 N #s(literal 4 binary64))))

rewrite184.0ms (4.2%)

Memory
-19.5MiB live, 126.4MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055544
086452
1349450
02970440
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
44 → 477
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N))
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal -1/4 binary64) N)
#s(literal -1/4 binary64)
N
#s(literal 1/3 binary64)
(*.f64 N N)
(+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
(/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))
(+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N)
#s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64))
(/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N)
#s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N)))
(/.f64 #s(literal -1/4 binary64) (*.f64 N N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) #s(literal 2 binary64))))
(-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64)))
(pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
#s(literal 3 binary64)
(pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) N)
(fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 N #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) N) N) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 4 binary64)))) (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) N) N) (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 6 binary64)) (pow.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) N) N) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 2 binary64)) (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) N) N)) (pow.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) N) N) #s(literal 2 binary64))))
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(/.f64 (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) (neg.f64 N))) (*.f64 (*.f64 N N) (neg.f64 N)))
(/.f64 (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64))) (*.f64 (*.f64 N N) (*.f64 N N)))
(/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) (*.f64 N N))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N)) #s(literal 2 binary64)))
#s(literal 2 binary64)

eval140.0ms (3.2%)

Memory
47.3MiB live, 186.5MiB allocated; 27ms collecting garbage
Compiler

Compiled 51 432 to 4 002 computations (92.2% saved)

prune35.0ms (0.8%)

Memory
-12.5MiB live, 80.6MiB allocated; 4ms collecting garbage
Pruning

19 alts after pruning (9 fresh and 10 done)

PrunedKeptTotal
New8951896
Fresh9817
Picked145
Done066
Total90519924
Accuracy
100.0%
Counts
924 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.5%
(-.f64 (log1p.f64 N) (log.f64 N))
99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
29.4%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
91.2%
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
95.1%
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (/.f64 (+.f64 N (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64))) (*.f64 N N)))
93.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
93.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
82.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
93.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
90.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
93.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
82.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))
82.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
95.0%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (*.f64 N N)) (/.f64 (*.f64 #s(literal -1 binary64) N) (*.f64 N N))))
91.2%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
Compiler

Compiled 1 436 to 541 computations (62.3% saved)

regimes46.0ms (1%)

Memory
-9.2MiB live, 36.6MiB allocated; 5ms collecting garbage
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (/.f64 (+.f64 N (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64))) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (*.f64 N N)) (/.f64 (*.f64 #s(literal -1 binary64) N) (*.f64 N N))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)) N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (log.f64 N))
(-.f64 (log.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N) (*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N) (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(-.f64 (/.f64 (log.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) (log1p.f64 N))) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
(-.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)))))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
Calls

2 calls:

34.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
9.0ms
N
Results
AccuracySegmentsBranch
99.8%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
99.8%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes11.0ms (0.2%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (/.f64 (+.f64 N (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64))) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (*.f64 N N)) (/.f64 (*.f64 #s(literal -1 binary64) N) (*.f64 N N))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
Calls

2 calls:

5.0ms
N
4.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
95.3%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
95.3%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.2%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (/.f64 (+.f64 N (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64))) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N))))
Outputs
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (/.f64 (+.f64 N (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64))) (*.f64 N N)))
Calls

2 calls:

4.0ms
N
3.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
95.1%1N
95.1%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes54.0ms (1.2%)

Memory
-122.6MiB live, 9.5MiB allocated; 63ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N))
Calls

2 calls:

50.0ms
N
3.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
93.9%1N
93.9%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
Calls

2 calls:

3.0ms
N
2.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
93.9%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
93.9%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
Calls

2 calls:

3.0ms
N
2.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
93.7%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
93.7%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
Calls

2 calls:

2.0ms
N
2.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
91.2%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
91.2%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
Calls

2 calls:

2.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
90.9%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
90.9%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Accuracy

Total -0.2b remaining (-1.5%)

Threshold costs -0.2b (-1.5%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Calls

2 calls:

1.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
82.5%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
82.5%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify87.0ms (2%)

Memory
-34.5MiB live, 57.3MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066174
196174
2144174
3269174
4470174
5878174
64395174
77557174
Stop Event
node limit
Calls
Call 1
Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (/.f64 (+.f64 N (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64))) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (/ (- (pow N 3) -1) (+ (* N N) (- 1 N)))) (log N)) (/.f64 (+.f64 N (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64))) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

derivations482.0ms (10.9%)

Memory
39.0MiB live, 318.7MiB allocated; 47ms collecting garbage
Stop Event
fuel
Compiler

Compiled 174 to 71 computations (59.2% saved)

preprocess48.0ms (1.1%)

Memory
-31.2MiB live, 108.8MiB allocated; 9ms collecting garbage
Compiler

Compiled 416 to 192 computations (53.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...