2log (problem 3.3.6)

Time bar (total: 4.0s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

sample1.8s (45.1%)

Memory
2.1MiB live, 1 708.1MiB allocated; 1.3s collecting garbage
Samples
1.4s7 476×1valid
62.0ms780×0valid
Precisions
Click to see histograms. Total time spent on operations: 867.0ms
ival-log1p: 301.0ms (34.7% of total)
ival-log: 286.0ms (33% of total)
adjust: 238.0ms (27.4% of total)
ival-sub!: 42.0ms (4.8% of total)
Bogosity

explain131.0ms (3.3%)

Memory
-5.0MiB live, 189.0MiB allocated; 41ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2492(30.773736676321896)2(8.510377848009792)(-.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))cancellation2492
Confusion
Predicted +Predicted -
+2472
-25
Precision
0.9919678714859438
Recall
0.9919678714859438
Confusion?
Predicted +Predicted MaybePredicted -
+24711
-214
Precision?
0.9880478087649402
Recall?
0.9959839357429718
Freqs
test
numberfreq
07
1249
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
61.0ms464×1valid
2.0ms48×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-log1p: 19.0ms (40.4% of total)
ival-log: 15.0ms (31.9% of total)
adjust: 9.0ms (19.1% of total)
ival-sub!: 3.0ms (6.4% of total)
ival-add!: 1.0ms (2.1% of total)

preprocess260.0ms (6.5%)

Memory
-28.3MiB live, 222.3MiB allocated; 118ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
11626
21926
33326
47626
532124
6282024
7622324
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
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.4%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 7 to 6 computations (14.3% saved)

series69.0ms (1.7%)

Memory
4.3MiB live, 105.6MiB allocated; 17ms 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
41.0ms
N
@0
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
16.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
11.0ms
N
@inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

rewrite207.0ms (5.2%)

Memory
-13.6MiB live, 217.8MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126516
0131453
1714428
06908369
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
37 → 79
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)
#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
(log1p.f64 (pow.f64 N #s(literal -1 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 (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 (*.f64 (neg.f64 N) N)) (log.f64 (-.f64 #s(literal 1 binary64) N)))
(-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 N N) N)))
(log.f64 (-.f64 N #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N)
(*.f64 N (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)) N) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 N (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.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 (neg.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.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 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 N (*.f64 (neg.f64 N) (pow.f64 N #s(literal -1 binary64))))
(-.f64 N (*.f64 (/.f64 #s(literal -1 binary64) N) N))
(-.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 (/.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 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(*.f64 (neg.f64 (log.f64 N)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 N)))
(*.f64 (log.f64 N) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 N))
(neg.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 N))))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (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)) (-.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 (+ N 1)) 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)) (*.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)) (*.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(literal 1 binary64))
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx N N)
#s(approx (log N) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 N #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #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) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N))
#s(approx (log (+ N 1)) (log.f64 N))
#s(approx (log (+ N 1)) (+.f64 (pow.f64 N #s(literal -1 binary64)) (log.f64 N)))
#s(approx (log (+ N 1)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) (log.f64 N)))
#s(approx (log (+ N 1)) (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (+ N 1) N)
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (log N) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.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) #s(literal -1 binary64)) (neg.f64 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)) (+.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))))
#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)) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) N)))
#s(approx (log N) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))

eval8.0ms (0.2%)

Memory
17.5MiB live, 17.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 131 to 289 computations (74.4% saved)

prune5.0ms (0.1%)

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New74579
Fresh000
Picked101
Done000
Total75580
Accuracy
99.9%
Counts
80 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
24.7%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
96.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.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) #s(literal -1 binary64)) (neg.f64 N)))
93.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
Compiler

Compiled 140 to 110 computations (21.4% saved)

series16.0ms (0.4%)

Memory
-22.6MiB live, 23.6MiB allocated; 5ms collecting garbage
Counts
31 → 125
Calls
Call 1
Inputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(pow.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
#s(literal 1 binary64)
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(/.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)
#s(literal 1/3 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.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) #s(literal -1 binary64)) (neg.f64 N)))
(/.f64 (fma.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) #s(literal -1 binary64)) (neg.f64 N))
(fma.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) #s(literal -1 binary64))
(/.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)
(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))
(/.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)
#s(literal -1/2 binary64)
(neg.f64 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))
Outputs
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (pow N -1) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#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 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ -1/2 N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#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 (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg 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) -1/2) N) -1) -1) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -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) -1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -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 (/ (+ 1/4 (* -1/3 N)) (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 (/ (+ 1/4 (* -1/3 N)) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#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 (log (+ 1 (pow N -1))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (pow N -1))) #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)) #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 (/ 1/2 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 1))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 1))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) 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) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg 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) -1/2) N) -1) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -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) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -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 (/ (- (* 1/4 (/ 1 N)) 1/3) N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 -1/3))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (- (* 1/4 (/ 1 N)) 1/3)))
#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 (log (+ 1 (pow N -1))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (pow N -1))) #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)) #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 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (- (/ 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) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg 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) -1/2) N) -1) -1) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -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) -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 (/ (- 1/3 (* 1/4 (/ 1 N))) N))))
#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))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
N
@0
((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) 1 (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 -1/2 (neg N) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1))
4.0ms
N
@-inf
((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) 1 (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 -1/2 (neg N) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1))
3.0ms
N
@inf
((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) 1 (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 -1/2 (neg N) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1))

rewrite172.0ms (4.3%)

Memory
-1.7MiB live, 247.0MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03082556
03422372
112822297
084742230
Stop Event
iter-limit
node-limit
iter-limit
Counts
156 → 435
Calls
Call 1
Inputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(pow.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
#s(literal 1 binary64)
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(/.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)
#s(literal 1/3 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.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) #s(literal -1 binary64)) (neg.f64 N)))
(/.f64 (fma.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) #s(literal -1 binary64)) (neg.f64 N))
(fma.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) #s(literal -1 binary64))
(/.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)
(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))
(/.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)
#s(literal -1/2 binary64)
(neg.f64 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 (+ 1 (pow N -1))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (pow N -1) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#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 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ -1/2 N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#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 (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg 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) -1/2) N) -1) -1) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -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) -1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -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 (/ (+ 1/4 (* -1/3 N)) (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 (/ (+ 1/4 (* -1/3 N)) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#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 (log (+ 1 (pow N -1))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (pow N -1))) #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)) #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 (/ 1/2 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 1))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 1))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) 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) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg 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) -1/2) N) -1) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -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) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -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 (/ (- (* 1/4 (/ 1 N)) 1/3) N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 -1/3))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (- (* 1/4 (/ 1 N)) 1/3)))
#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 (log (+ 1 (pow N -1))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (pow N -1))) #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)) #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 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (- (/ 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) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg 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) -1/2) N) -1) -1) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -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) -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 (/ (- 1/3 (* 1/4 (/ 1 N))) N))))
#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))))
Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(log.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N))
(pow.f64 (exp.f64 (log.f64 N)) #s(literal -1 binary64))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 N)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(-.f64 (cosh.f64 (log.f64 N)) (sinh.f64 (log.f64 N)))
(exp.f64 (neg.f64 (log.f64 N)))
(+.f64 (cosh.f64 (neg.f64 (log.f64 N))) (sinh.f64 (neg.f64 (log.f64 N))))
N
#s(literal -1 binary64)
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#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg 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) -1/2) N) -1) -1) (neg 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) -1/2) N) -1) -1) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -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 (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal -1/2 binary64)) N))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (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)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))
#s(approx (log (/ (- N -1) N)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (/ (- 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 (log (/ (- 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))

eval56.0ms (1.4%)

Memory
20.5MiB live, 114.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 11 742 to 1 910 computations (83.7% saved)

prune24.0ms (0.6%)

Memory
-43.3MiB live, 55.1MiB allocated; 4ms collecting garbage
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New43218450
Fresh000
Picked415
Done000
Total43619455
Accuracy
100.0%
Counts
455 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
99.2%
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.9%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
96.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
95.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (*.f64 #s(literal 1 binary64) N)) (*.f64 N N)))
96.6%
#s(approx (- (log (+ N 1)) (log N)) (/.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) (neg.f64 N) (*.f64 #s(literal 1 binary64) N)) (*.f64 N N)))
95.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64))) N))
96.8%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (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))) #s(literal 2 binary64)) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
92.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))) (+.f64 (pow.f64 N #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))))
96.9%
#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)) (neg.f64 N)))
93.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N N))) #s(literal 1 binary64)) N))
85.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
95.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
95.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
95.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (neg.f64 N)))
96.8%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.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)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N)))
92.9%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
95.2%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 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)))))
Compiler

Compiled 919 to 666 computations (27.5% saved)

series12.0ms (0.3%)

Memory
26.0MiB live, 26.0MiB allocated; 0ms collecting garbage
Counts
38 → 163
Calls
Call 1
Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
(/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N)
#s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
(/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N)
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)))
(-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
#s(literal 1/3 binary64)
(*.f64 N N)
#s(literal -1 binary64)
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
#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)) (neg.f64 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)) (neg.f64 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)
(neg.f64 N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (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))) #s(literal 2 binary64)) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (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))) #s(literal 2 binary64)) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (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))) #s(literal 2 binary64)) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (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))) #s(literal 2 binary64)) (*.f64 N #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (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))) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (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)))
(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))
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(*.f64 N #s(literal 2 binary64))
Outputs
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#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 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ -1/2 N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (/ (+ 1/3 (pow N 2)) (pow N 2))))
#s(approx (/ 1/3 (* N N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg 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) (neg 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 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (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 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (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 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (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 (/ (+ 1/4 (* -1/3 N)) (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 (/ (+ 1/4 (* -1/3 N)) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (/ 1/2 (pow N 2))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (/ (+ 1/2 (* -2/3 N)) (pow N 2))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (/ (+ 1/2 (* N (- N 2/3))) (pow N 2))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (/ (+ 1/2 (* N (- (* N (+ 1 (* -2 N))) 2/3))) (pow N 2))))
#s(approx (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) #s(hole binary64 (/ 1/2 (pow N 2))))
#s(approx (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) #s(hole binary64 (/ (+ 1/2 (* -2/3 N)) (pow N 2))))
#s(approx (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) #s(hole binary64 (/ (+ 1/2 (* N (- N 2/3))) (pow N 2))))
#s(approx (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2))))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (* N 2) #s(hole binary64 (* 2 N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 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)) #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 (/ 1/2 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 1))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 1))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 1))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 1))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (+ 1 (* 1/3 (/ 1 (pow N 2))))))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg 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) (neg 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 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))))
#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 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) 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 (- 1/2 (* 1/3 (/ 1 N)))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N)))))
#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 (/ (- (* 1/4 (/ 1 N)) 1/3) N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 -1/3))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (- (* 1/4 (/ 1 N)) 1/3)))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 -1))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* -2 N)))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* N (- (/ 1 N) 2))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* N (- (/ 1 N) (+ 2 (/ 2/3 (pow N 2)))))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* N (- (+ (/ 1 N) (* 1/2 (/ 1 (pow N 3)))) (+ 2 (/ 2/3 (pow N 2)))))))
#s(approx (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) #s(hole binary64 1))
#s(approx (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) #s(hole binary64 (- 1 (* 2/3 (/ 1 N)))))
#s(approx (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) #s(hole binary64 (- (+ 1 (/ 1/2 (pow N 2))) (* 2/3 (/ 1 N)))))
#s(approx (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) #s(hole binary64 1/2))
#s(approx (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) #s(hole binary64 (- 1/2 (* 1/3 (/ 1 N)))))
#s(approx (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N)))))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (/ 1 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)) #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 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg 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) (neg 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 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* -1 (* N (- 2 (/ 1 N))))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* -1 (* N (+ 2 (* -1 (/ (- 1 (* 2/3 (/ 1 N))) N)))))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* -1 (* N (+ 2 (* -1 (/ (+ 1 (* -1 (/ (- 2/3 (* 1/2 (/ 1 N))) N))) N)))))))
#s(approx (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) #s(hole binary64 (+ 1 (* -1 (/ (- 2/3 (* 1/2 (/ 1 N))) N)))))
#s(approx (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
N
@-inf
((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) 1/3 (* N N) -1 (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg 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 (neg N) (- (log (+ N 1)) (log N)) (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1/2 2 (* N 2))
3.0ms
N
@0
((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) 1/3 (* N N) -1 (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg 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 (neg N) (- (log (+ N 1)) (log N)) (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1/2 2 (* N 2))
3.0ms
N
@inf
((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) 1/3 (* N N) -1 (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg 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 (neg N) (- (log (+ N 1)) (log N)) (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1/2 2 (* N 2))

rewrite177.0ms (4.4%)

Memory
-10.2MiB live, 225.2MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04044059
04473690
117903637
087153576
Stop Event
iter-limit
node-limit
iter-limit
Counts
201 → 367
Calls
Call 1
Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
(/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N)
#s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
(/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N)
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)))
(-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
#s(literal 1/3 binary64)
(*.f64 N N)
#s(literal -1 binary64)
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
#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)) (neg.f64 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)) (neg.f64 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)
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#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* -1 (* N (- 2 (/ 1 N))))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* -1 (* N (+ 2 (* -1 (/ (- 1 (* 2/3 (/ 1 N))) N)))))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* -1 (* N (+ 2 (* -1 (/ (+ 1 (* -1 (/ (- 2/3 (* 1/2 (/ 1 N))) N))) N)))))))
#s(approx (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) #s(hole binary64 (+ 1 (* -1 (/ (- 2/3 (* 1/2 (/ 1 N))) N)))))
#s(approx (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(log.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1 binary64) N)
(exp.f64 (neg.f64 (log.f64 N)))
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
(/.f64 (neg.f64 (neg.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 N)))
(/.f64 (neg.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64))) (neg.f64 N))
(/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N)
#s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))))) (neg.f64 (neg.f64 N)))
(/.f64 (neg.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)))) (neg.f64 N))
(/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N)
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 N #s(literal 6 binary64))) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))) (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal -3 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) #s(literal 1 binary64)) (neg.f64 N)) (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal -1 binary64)) (neg.f64 N)))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) #s(literal 1 binary64)) N) (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 N #s(literal 6 binary64))) #s(literal -1 binary64)) (neg.f64 N)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)))) #s(literal -1/2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)))) (neg.f64 N)))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 N #s(literal 6 binary64))) #s(literal -1 binary64)) N) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)))) N))
(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal -3 binary64)))) (+.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))))
(-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal -3 binary64))) (+.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))))))
(-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 N #s(literal 6 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 N #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 N #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64))))))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) (fabs.f64 N)) (/.f64 #s(literal 1 binary64) (fabs.f64 N)))
(*.f64 (/.f64 #s(literal -1/3 binary64) N) (/.f64 #s(literal -1 binary64) N))
(*.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) N) (pow.f64 N #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal -2 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) N)) (neg.f64 N))
(/.f64 (/.f64 #s(literal 1/3 binary64) N) N)
(/.f64 #s(literal -1/3 binary64) (neg.f64 (*.f64 N N)))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 (*.f64 N N))))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
#s(literal 1/3 binary64)
(*.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)))
(*.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)))
(*.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)))
(*.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)))
(*.f64 (fabs.f64 N) (fabs.f64 N))
(*.f64 (neg.f64 N) (neg.f64 N))
(*.f64 N N)
(pow.f64 (exp.f64 (log.f64 N)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 N) #s(literal 2 binary64))
(pow.f64 (neg.f64 N) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))
(fabs.f64 (*.f64 N N))
(exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))))
#s(literal -1 binary64)
(*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal -1 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 N))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
#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)) (neg.f64 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) (neg.f64 N)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.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) (neg.f64 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) (neg.f64 N)) (+.f64 (pow.f64 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) (neg.f64 N)) (/.f64 #s(literal -1 binary64) N)))))
(/.f64 (neg.f64 (neg.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)))) (neg.f64 (neg.f64 (neg.f64 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) (neg.f64 N)) (*.f64 (neg.f64 N) #s(literal 1 binary64))) (*.f64 N N))
(/.f64 (neg.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))) (neg.f64 (neg.f64 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)) (neg.f64 N))
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(-.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) (neg.f64 N)) (/.f64 #s(literal -1 binary64) N))
(/.f64 (neg.f64 (-.f64 (pow.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 2 binary64)) #s(literal 1 binary64))) (neg.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))))
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(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 N) #s(literal 2 binary64))) (*.f64 (neg.f64 N) #s(literal 2 binary64)))
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#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.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 (/ (- 1 (/ 1/2 N)) N) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) (neg.f64 (/.f64 (-.f64 (neg.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) (neg N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.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 (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (-.f64 (neg.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) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.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 (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg.f64 (/.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) (neg.f64 (/.f64 (-.f64 (neg.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) (fma.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.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 (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.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 (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (*.f64 (neg.f64 N) (-.f64 #s(literal 2 binary64) (pow.f64 N #s(literal -1 binary64)))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) N)) N) #s(literal -1 binary64) #s(literal 2 binary64))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) #s(literal -1 binary64) #s(literal 1 binary64)) N) #s(literal -1 binary64) #s(literal 2 binary64))))
#s(approx (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (fma.f64 (/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) (fma.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)))

eval92.0ms (2.3%)

Memory
9.2MiB live, 99.7MiB allocated; 9ms collecting garbage
Compiler

Compiled 15 509 to 2 097 computations (86.5% saved)

prune22.0ms (0.6%)

Memory
-3.9MiB live, 49.2MiB allocated; 5ms collecting garbage
Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New4338441
Fresh7613
Picked235
Done011
Total44218460
Accuracy
100.0%
Counts
460 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
99.2%
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.9%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
96.8%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 #s(approx (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (/.f64 (fma.f64 (-.f64 N #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (*.f64 N N))) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
95.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 #s(approx (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) N))) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
96.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (*.f64 N N))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
92.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))) (+.f64 (pow.f64 N #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))))
96.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)))
96.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)))
93.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N N))) #s(literal 1 binary64)) N))
96.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (neg.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)) (*.f64 (*.f64 #s(literal 2 binary64) N) (neg.f64 N))))
85.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
95.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
95.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N))
95.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
96.5%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (neg.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))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) N) (neg.f64 N))) (/.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 (*.f64 #s(literal 2 binary64) N) (neg.f64 N)))))
92.9%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
Compiler

Compiled 935 to 678 computations (27.5% saved)

series22.0ms (0.6%)

Memory
-4.1MiB live, 42.8MiB allocated; 1ms collecting garbage
Counts
51 → 224
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(log1p.f64 (pow.f64 N #s(literal -3 binary64)))
(pow.f64 N #s(literal -3 binary64))
N
#s(literal -3 binary64)
(log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
(-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(pow.f64 N #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N))
(/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N)
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
#s(literal 1/3 binary64)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #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 #s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N))
(-.f64 (/.f64 (+.f64 (/.f64 #s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(/.f64 (+.f64 (/.f64 #s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)) N) #s(literal 1/2 binary64)) N)
(+.f64 (/.f64 #s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)) N) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)) N)
#s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N))
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)
(fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))
#s(literal -1/3 binary64)
#s(literal 1/4 binary64)
(neg.f64 N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (*.f64 N N))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
(/.f64 (/.f64 #s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (*.f64 N N))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N))
(/.f64 #s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (*.f64 N N))) (*.f64 N #s(literal 2 binary64)))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (*.f64 N N))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64))
(*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N)
(fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64))
#s(literal 2/3 binary64)
(*.f64 N #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (- (* -3 (log N)) (* -2 (log N)))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (- (+ N (* -3 (log N))) (* -2 (log N)))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (- (+ (* -3 (log N)) (* N (+ 1 (* -1/2 N)))) (* -2 (log N)))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (- (+ (* -3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* -2 (log N)))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (* -3 (log N))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (+ (* -3 (log N)) (pow N 3))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3)))))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2)))))))
#s(approx (pow N -3) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx N #s(hole binary64 N))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (* -2 (log N))))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (+ (* -2 (log N)) (* -1 N))))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (+ (* -2 (log N)) (* N (- (* 1/2 N) 1)))))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (+ (* -2 (log N)) (* N (- (* N (+ 1/2 (* 2/3 N))) 1)))))
#s(approx (- (pow N -2) (* 1 (pow N -1))) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (- (pow N -2) (* 1 (pow N -1))) #s(hole binary64 (/ (+ 1 (* -1 N)) (pow N 2))))
#s(approx (pow N -2) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (* 1 (pow N -1)) #s(hole binary64 (/ 1 N)))
#s(approx (pow N -1) #s(hole binary64 (/ 1 N)))
#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 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1/3 (pow N 3))))
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#s(approx (- (/ 1/3 (* N N)) (+ -1 (/ 1/2 N))) #s(hole binary64 (/ 1/3 (pow N 2))))
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#s(approx (- (/ 1/3 (* N N)) (+ -1 (/ 1/2 N))) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ 1/3 (* N N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (+ -1 (/ 1/2 N)) #s(hole binary64 (/ 1/2 N)))
#s(approx (+ -1 (/ 1/2 N)) #s(hole binary64 (/ (+ 1/2 (* -1 N)) N)))
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#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ 1/4 N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) N)))
#s(approx (/ (+ (* -1/3 N) 1/4) N) #s(hole binary64 (/ 1/4 N)))
#s(approx (/ (+ (* -1/3 N) 1/4) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) N)))
#s(approx (+ (* -1/3 N) 1/4) #s(hole binary64 1/4))
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#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3))))
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#s(approx (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) #s(hole binary64 (/ (+ 1/2 (* N (- (* N (+ 1 (* -2 N))) 2/3))) (pow N 2))))
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#s(approx (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) #s(hole binary64 (+ 1/2 (* N (- (* N (+ 1 (* -2 N))) 2/3)))))
#s(approx (- (* (+ (* -2 N) 1) N) 2/3) #s(hole binary64 -2/3))
#s(approx (- (* (+ (* -2 N) 1) N) 2/3) #s(hole binary64 (- N 2/3)))
#s(approx (- (* (+ (* -2 N) 1) N) 2/3) #s(hole binary64 (- (* N (+ 1 (* -2 N))) 2/3)))
#s(approx (* (+ (* -2 N) 1) N) #s(hole binary64 N))
#s(approx (* (+ (* -2 N) 1) N) #s(hole binary64 (* N (+ 1 (* -2 N)))))
#s(approx (+ (* -2 N) 1) #s(hole binary64 1))
#s(approx (+ (* -2 N) 1) #s(hole binary64 (+ 1 (* -2 N))))
#s(approx (* N 2) #s(hole binary64 (* 2 N)))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3))))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (/ -1 N)))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (/ (- (* 1/2 (/ 1 N)) 1) N)))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (/ (- (+ (/ 2/3 (pow N 2)) (* 1/2 (/ 1 N))) 1) N)))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (/ (- (+ (/ 2/3 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) 1) N)))
#s(approx (- (pow N -2) (* 1 (pow N -1))) #s(hole binary64 (/ -1 N)))
#s(approx (- (pow N -2) (* 1 (pow N -1))) #s(hole binary64 (/ (- (/ 1 N) 1) 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 (/ 1/2 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- N 1/2) #s(hole binary64 N))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 1))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ 1/3 (* N N)) (+ -1 (/ 1/2 N))) #s(hole binary64 1))
#s(approx (- (/ 1/3 (* N N)) (+ -1 (/ 1/2 N))) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (/ 1/3 (* N N)) (+ -1 (/ 1/2 N))) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (+ -1 (/ 1/2 N)) #s(hole binary64 -1))
#s(approx (+ -1 (/ 1/2 N)) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg 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) (neg 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 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))))
#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 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) 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 (- 1/2 (* 1/3 (/ 1 N)))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N)))))
#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 (/ (- (* 1/4 (/ 1 N)) 1/3) N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 -1/3))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (- (* 1/4 (/ 1 N)) 1/3)))
#s(approx (/ (+ (* -1/3 N) 1/4) N) #s(hole binary64 -1/3))
#s(approx (/ (+ (* -1/3 N) 1/4) N) #s(hole binary64 (- (* 1/4 (/ 1 N)) 1/3)))
#s(approx (+ (* -1/3 N) 1/4) #s(hole binary64 (* -1/3 N)))
#s(approx (+ (* -1/3 N) 1/4) #s(hole binary64 (* N (- (* 1/4 (/ 1 N)) 1/3))))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 -1))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* -2 N)))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* N (- (/ 1 N) 2))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* N (- (/ 1 N) (+ 2 (/ 2/3 (pow N 2)))))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* N (- (+ (/ 1 N) (* 1/2 (/ 1 (pow N 3)))) (+ 2 (/ 2/3 (pow N 2)))))))
#s(approx (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) #s(hole binary64 (* -2 N)))
#s(approx (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) #s(hole binary64 (* N (- (/ 1 N) 2))))
#s(approx (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) #s(hole binary64 (* N (- (/ 1 N) (+ 2 (/ 2/3 (pow N 2)))))))
#s(approx (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) #s(hole binary64 (* N (- (+ (/ 1 N) (* 1/2 (/ 1 (pow N 3)))) (+ 2 (/ 2/3 (pow N 2)))))))
#s(approx (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) #s(hole binary64 (* -2 (pow N 3))))
#s(approx (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) #s(hole binary64 (* (pow N 3) (- (/ 1 N) 2))))
#s(approx (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) #s(hole binary64 (* (pow N 3) (- (/ 1 N) (+ 2 (/ 2/3 (pow N 2)))))))
#s(approx (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) #s(hole binary64 (* (pow N 3) (- (+ (/ 1 N) (* 1/2 (/ 1 (pow N 3)))) (+ 2 (/ 2/3 (pow N 2)))))))
#s(approx (- (* (+ (* -2 N) 1) N) 2/3) #s(hole binary64 (* -2 (pow N 2))))
#s(approx (- (* (+ (* -2 N) 1) N) 2/3) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 2))))
#s(approx (- (* (+ (* -2 N) 1) N) 2/3) #s(hole binary64 (* (pow N 2) (- (/ 1 N) (+ 2 (/ 2/3 (pow N 2)))))))
#s(approx (* (+ (* -2 N) 1) N) #s(hole binary64 (* -2 (pow N 2))))
#s(approx (* (+ (* -2 N) 1) N) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 2))))
#s(approx (+ (* -2 N) 1) #s(hole binary64 (* -2 N)))
#s(approx (+ (* -2 N) 1) #s(hole binary64 (* N (- (/ 1 N) 2))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3)))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 2/3 (/ 1 N))) N))) N))))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/4 (pow N 2)) (* 2/3 (/ 1 N)))) N))) N))))
#s(approx (- (pow N -2) (* 1 (pow N -1))) #s(hole binary64 (* -1 (/ (- 1 (/ 1 N)) 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 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (- (/ 1/3 (* N N)) (+ -1 (/ 1/2 N))) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg 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) (neg 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 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))))
#s(approx (+ (* -1/3 N) 1/4) #s(hole binary64 (* -1 (* N (- 1/3 (* 1/4 (/ 1 N)))))))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* -1 (* N (- 2 (/ 1 N))))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* -1 (* N (+ 2 (* -1 (/ (- 1 (* 2/3 (/ 1 N))) N)))))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* -1 (* N (+ 2 (* -1 (/ (+ 1 (* -1 (/ (- 2/3 (* 1/2 (/ 1 N))) N))) N)))))))
#s(approx (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) #s(hole binary64 (* -1 (* N (- 2 (/ 1 N))))))
#s(approx (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) #s(hole binary64 (* -1 (* N (+ 2 (* -1 (/ (- 1 (* 2/3 (/ 1 N))) N)))))))
#s(approx (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) #s(hole binary64 (* -1 (* N (+ 2 (* -1 (/ (+ 1 (* -1 (/ (- 2/3 (* 1/2 (/ 1 N))) N))) N)))))))
#s(approx (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) #s(hole binary64 (* -1 (* (pow N 3) (- 2 (/ 1 N))))))
#s(approx (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) #s(hole binary64 (* -1 (* (pow N 3) (+ 2 (* -1 (/ (- 1 (* 2/3 (/ 1 N))) N)))))))
#s(approx (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) #s(hole binary64 (* -1 (* (pow N 3) (+ 2 (* -1 (/ (+ 1 (* -1 (/ (- 2/3 (* 1/2 (/ 1 N))) N))) N)))))))
#s(approx (- (* (+ (* -2 N) 1) N) 2/3) #s(hole binary64 (* (pow N 2) (- (* -1 (/ (- (* 2/3 (/ 1 N)) 1) N)) 2))))
#s(approx (+ (* -2 N) 1) #s(hole binary64 (* -1 (* N (- 2 (/ 1 N))))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
N
@-inf
((- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) (log (+ 1 (pow N -3))) (pow N -3) N -3 (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) (- (pow N -2) (* 1 (pow N -1))) (pow N -2) -2 (* 1 (pow N -1)) 1 (pow N -1) -1 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (- (/ 1/3 (* N N)) (+ -1 (/ 1/2 N))) (/ 1/3 (* N N)) 1/3 (+ -1 (/ 1/2 N)) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg 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) (/ (+ (* -1/3 N) 1/4) N) (+ (* -1/3 N) 1/4) -1/3 1/4 (neg N) (- (log (+ N 1)) (log N)) (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (- (* (+ (* -2 N) 1) N) 2/3) (* (+ (* -2 N) 1) N) (+ (* -2 N) 1) 2/3 (* N 2) 2)
6.0ms
N
@inf
((- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) (log (+ 1 (pow N -3))) (pow N -3) N -3 (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) (- (pow N -2) (* 1 (pow N -1))) (pow N -2) -2 (* 1 (pow N -1)) 1 (pow N -1) -1 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (- (/ 1/3 (* N N)) (+ -1 (/ 1/2 N))) (/ 1/3 (* N N)) 1/3 (+ -1 (/ 1/2 N)) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg 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) (/ (+ (* -1/3 N) 1/4) N) (+ (* -1/3 N) 1/4) -1/3 1/4 (neg N) (- (log (+ N 1)) (log N)) (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (- (* (+ (* -2 N) 1) N) 2/3) (* (+ (* -2 N) 1) N) (+ (* -2 N) 1) 2/3 (* N 2) 2)
5.0ms
N
@0
((- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) (log (+ 1 (pow N -3))) (pow N -3) N -3 (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) (- (pow N -2) (* 1 (pow N -1))) (pow N -2) -2 (* 1 (pow N -1)) 1 (pow N -1) -1 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (- (/ 1/3 (* N N)) (+ -1 (/ 1/2 N))) (/ 1/3 (* N N)) 1/3 (+ -1 (/ 1/2 N)) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg 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) (/ (+ (* -1/3 N) 1/4) N) (+ (* -1/3 N) 1/4) -1/3 1/4 (neg N) (- (log (+ N 1)) (log N)) (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (- (* (+ (* -2 N) 1) N) 2/3) (* (+ (* -2 N) 1) N) (+ (* -2 N) 1) 2/3 (* N 2) 2)

rewrite233.0ms (5.8%)

Memory
37.6MiB live, 255.5MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05965538
06454985
127954985
085934925
Stop Event
iter-limit
node-limit
iter-limit
Counts
275 → 591
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(log1p.f64 (pow.f64 N #s(literal -3 binary64)))
(pow.f64 N #s(literal -3 binary64))
N
#s(literal -3 binary64)
(log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
(-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(pow.f64 N #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N))
(/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N)
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
#s(literal 1/3 binary64)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #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 #s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N))
(-.f64 (/.f64 (+.f64 (/.f64 #s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(/.f64 (+.f64 (/.f64 #s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)) N) #s(literal 1/2 binary64)) N)
(+.f64 (/.f64 #s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)) N) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)) N)
#s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N))
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)
(fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))
#s(literal -1/3 binary64)
#s(literal 1/4 binary64)
(neg.f64 N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (*.f64 N N))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
(/.f64 (/.f64 #s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (*.f64 N N))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N))
(/.f64 #s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (*.f64 N N))) (*.f64 N #s(literal 2 binary64)))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (*.f64 N N))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64))
(*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N)
(fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64))
#s(literal 2/3 binary64)
(*.f64 N #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (- (* -3 (log N)) (* -2 (log N)))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (- (+ N (* -3 (log N))) (* -2 (log N)))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (- (+ (* -3 (log N)) (* N (+ 1 (* -1/2 N)))) (* -2 (log N)))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (- (+ (* -3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* -2 (log N)))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (* -3 (log N))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (+ (* -3 (log N)) (pow N 3))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3)))))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2)))))))
#s(approx (pow N -3) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx N #s(hole binary64 N))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (* -2 (log N))))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (+ (* -2 (log N)) (* -1 N))))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (+ (* -2 (log N)) (* N (- (* 1/2 N) 1)))))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (+ (* -2 (log N)) (* N (- (* N (+ 1/2 (* 2/3 N))) 1)))))
#s(approx (- (pow N -2) (* 1 (pow N -1))) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (- (pow N -2) (* 1 (pow N -1))) #s(hole binary64 (/ (+ 1 (* -1 N)) (pow N 2))))
#s(approx (pow N -2) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (* 1 (pow N -1)) #s(hole binary64 (/ 1 N)))
#s(approx (pow N -1) #s(hole binary64 (/ 1 N)))
#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 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (- (/ 1/3 (* N N)) (+ -1 (/ 1/2 N))) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (- (/ 1/3 (* N N)) (+ -1 (/ 1/2 N))) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (/ 1/3 (* N N)) (+ -1 (/ 1/2 N))) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ 1/3 (* N N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (+ -1 (/ 1/2 N)) #s(hole binary64 (/ 1/2 N)))
#s(approx (+ -1 (/ 1/2 N)) #s(hole binary64 (/ (+ 1/2 (* -1 N)) N)))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ -1/4 (pow N 4))))
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#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (/ 1 (pow N 3))))
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#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3))))
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#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (/ (- (* 1/2 (/ 1 N)) 1) N)))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (/ (- (+ (/ 2/3 (pow N 2)) (* 1/2 (/ 1 N))) 1) N)))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (/ (- (+ (/ 2/3 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) 1) N)))
#s(approx (- (pow N -2) (* 1 (pow N -1))) #s(hole binary64 (/ -1 N)))
#s(approx (- (pow N -2) (* 1 (pow N -1))) #s(hole binary64 (/ (- (/ 1 N) 1) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
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#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- N 1/2) #s(hole binary64 N))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1 N)))
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#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 1))
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#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ 1/3 (* N N)) (+ -1 (/ 1/2 N))) #s(hole binary64 1))
#s(approx (- (/ 1/3 (* N N)) (+ -1 (/ 1/2 N))) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (/ 1/3 (* N N)) (+ -1 (/ 1/2 N))) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (+ -1 (/ 1/2 N)) #s(hole binary64 -1))
#s(approx (+ -1 (/ 1/2 N)) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
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#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg 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) (neg 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))
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#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))))
#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 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) 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 (- 1/2 (* 1/3 (/ 1 N)))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N)))))
#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 (/ (- (* 1/4 (/ 1 N)) 1/3) N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 -1/3))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (- (* 1/4 (/ 1 N)) 1/3)))
#s(approx (/ (+ (* -1/3 N) 1/4) N) #s(hole binary64 -1/3))
#s(approx (/ (+ (* -1/3 N) 1/4) N) #s(hole binary64 (- (* 1/4 (/ 1 N)) 1/3)))
#s(approx (+ (* -1/3 N) 1/4) #s(hole binary64 (* -1/3 N)))
#s(approx (+ (* -1/3 N) 1/4) #s(hole binary64 (* N (- (* 1/4 (/ 1 N)) 1/3))))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 -1))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* -2 N)))
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#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* N (- (/ 1 N) (+ 2 (/ 2/3 (pow N 2)))))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* N (- (+ (/ 1 N) (* 1/2 (/ 1 (pow N 3)))) (+ 2 (/ 2/3 (pow N 2)))))))
#s(approx (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) #s(hole binary64 (* -2 N)))
#s(approx (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) #s(hole binary64 (* N (- (/ 1 N) 2))))
#s(approx (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) #s(hole binary64 (* N (- (/ 1 N) (+ 2 (/ 2/3 (pow N 2)))))))
#s(approx (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) #s(hole binary64 (* N (- (+ (/ 1 N) (* 1/2 (/ 1 (pow N 3)))) (+ 2 (/ 2/3 (pow N 2)))))))
#s(approx (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) #s(hole binary64 (* -2 (pow N 3))))
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#s(approx (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) #s(hole binary64 (* (pow N 3) (- (+ (/ 1 N) (* 1/2 (/ 1 (pow N 3)))) (+ 2 (/ 2/3 (pow N 2)))))))
#s(approx (- (* (+ (* -2 N) 1) N) 2/3) #s(hole binary64 (* -2 (pow N 2))))
#s(approx (- (* (+ (* -2 N) 1) N) 2/3) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 2))))
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#s(approx (* (+ (* -2 N) 1) N) #s(hole binary64 (* -2 (pow N 2))))
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#s(approx (+ (* -2 N) 1) #s(hole binary64 (* N (- (/ 1 N) 2))))
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#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3)))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))))
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#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/4 (pow N 2)) (* 2/3 (/ 1 N)))) N))) N))))
#s(approx (- (pow N -2) (* 1 (pow N -1))) #s(hole binary64 (* -1 (/ (- 1 (/ 1 N)) N))))
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#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 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
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#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (- (/ 1/3 (* N N)) (+ -1 (/ 1/2 N))) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
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#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg 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) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
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#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))))
#s(approx (+ (* -1/3 N) 1/4) #s(hole binary64 (* -1 (* N (- 1/3 (* 1/4 (/ 1 N)))))))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* -1 (* N (- 2 (/ 1 N))))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* -1 (* N (+ 2 (* -1 (/ (- 1 (* 2/3 (/ 1 N))) N)))))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) #s(hole binary64 (* -1 (* N (+ 2 (* -1 (/ (+ 1 (* -1 (/ (- 2/3 (* 1/2 (/ 1 N))) N))) N)))))))
#s(approx (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) #s(hole binary64 (* -1 (* N (- 2 (/ 1 N))))))
#s(approx (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) #s(hole binary64 (* -1 (* N (+ 2 (* -1 (/ (- 1 (* 2/3 (/ 1 N))) N)))))))
#s(approx (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) #s(hole binary64 (* -1 (* N (+ 2 (* -1 (/ (+ 1 (* -1 (/ (- 2/3 (* 1/2 (/ 1 N))) N))) N)))))))
#s(approx (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) #s(hole binary64 (* -1 (* (pow N 3) (- 2 (/ 1 N))))))
#s(approx (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) #s(hole binary64 (* -1 (* (pow N 3) (+ 2 (* -1 (/ (- 1 (* 2/3 (/ 1 N))) N)))))))
#s(approx (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) #s(hole binary64 (* -1 (* (pow N 3) (+ 2 (* -1 (/ (+ 1 (* -1 (/ (- 2/3 (* 1/2 (/ 1 N))) N))) N)))))))
#s(approx (- (* (+ (* -2 N) 1) N) 2/3) #s(hole binary64 (* (pow N 2) (- (* -1 (/ (- (* 2/3 (/ 1 N)) 1) N)) 2))))
#s(approx (+ (* -2 N) 1) #s(hole binary64 (* -1 (* N (- 2 (/ 1 N))))))
Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
(log.f64 (/.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #s(literal -1 binary64)))))
(log1p.f64 (pow.f64 N #s(literal -3 binary64)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -6 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -9 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -6 binary64)) (pow.f64 N #s(literal -3 binary64)))))
(log.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)))
(*.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 (pow.f64 N #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 N #s(literal -3/2 binary64)) (pow.f64 N #s(literal -3/2 binary64)))
(*.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal -2 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 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -3 binary64)) (log.f64 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 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 N N) #s(literal -3/2 binary64))
(pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 N #s(literal -3 binary64))
(/.f64 (pow.f64 N #s(literal -9 binary64)) (pow.f64 N #s(literal -6 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 N #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 N N)) N))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 N N)) (neg.f64 N)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 N) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal -3 binary64) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 N) #s(literal 3 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 N) #s(literal 3 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 N) #s(literal 3 binary64))))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 N) #s(literal -3 binary64))))
(exp.f64 (fma.f64 (log.f64 N) #s(literal -2 binary64) (neg.f64 (log.f64 N))))
(exp.f64 (*.f64 (*.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 N)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.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))))
N
#s(literal -3 binary64)
(log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))))
(-.f64 (log1p.f64 (pow.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))))
(log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal -4 binary64)) (pow.f64 N #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal -6 binary64)) (pow.f64 N #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 N #s(literal -4 binary64)) (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -3 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 N)) (*.f64 (neg.f64 (*.f64 N N)) #s(literal -1 binary64))) (*.f64 (neg.f64 (*.f64 N N)) (neg.f64 N)))
(/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 (*.f64 N N)) #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 N N)) N))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 (*.f64 N N) #s(literal -1 binary64))) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) #s(literal 1 binary64))) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 N #s(literal -4 binary64)) (pow.f64 N #s(literal -2 binary64))) (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 N #s(literal -6 binary64)) (pow.f64 N #s(literal -3 binary64))) (+.f64 (pow.f64 N #s(literal -4 binary64)) (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -3 binary64)))))
(fma.f64 (neg.f64 (pow.f64 N #s(literal -1 binary64))) (neg.f64 (pow.f64 N #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))
(fma.f64 (fabs.f64 (pow.f64 N #s(literal -1 binary64))) (fabs.f64 (pow.f64 N #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))
(fma.f64 (pow.f64 (fabs.f64 N) #s(literal -1 binary64)) (pow.f64 (fabs.f64 N) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))
(fma.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 N #s(literal -4 binary64)) (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) (/.f64 (pow.f64 N #s(literal -2 binary64)) (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 N #s(literal -6 binary64)) (+.f64 (pow.f64 N #s(literal -4 binary64)) (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -3 binary64))))) (/.f64 (pow.f64 N #s(literal -3 binary64)) (+.f64 (pow.f64 N #s(literal -4 binary64)) (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -3 binary64))))))
(-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))
(+.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))
(*.f64 (neg.f64 (pow.f64 N #s(literal -1 binary64))) (neg.f64 (pow.f64 N #s(literal -1 binary64))))
(*.f64 (fabs.f64 (pow.f64 N #s(literal -1 binary64))) (fabs.f64 (pow.f64 N #s(literal -1 binary64))))
(*.f64 (pow.f64 (fabs.f64 N) #s(literal -1 binary64)) (pow.f64 (fabs.f64 N) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N))
(*.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 N))
(pow.f64 (exp.f64 (log.f64 N)) #s(literal -2 binary64))
(pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal -1 binary64))
(pow.f64 N #s(literal -2 binary64))
(/.f64 (pow.f64 N #s(literal -6 binary64)) (pow.f64 N #s(literal -4 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 N) N))
(/.f64 #s(literal -1 binary64) (*.f64 N (neg.f64 N)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 N N))))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(-.f64 (/.f64 #s(literal -3 binary64) (neg.f64 (*.f64 N N))) (/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 N N))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 N) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 N) #s(literal -2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 N) #s(literal -2 binary64))) (sinh.f64 (*.f64 (log.f64 N) #s(literal -2 binary64))))
#s(literal -2 binary64)
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 N #s(literal -3 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))))
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N))
(pow.f64 (exp.f64 (log.f64 N)) #s(literal -1 binary64))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 (pow.f64 N #s(literal -3 binary64)) (pow.f64 N #s(literal -2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 N)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 N)))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 N) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal -3 binary64) (neg.f64 N)) (/.f64 #s(literal -2 binary64) (neg.f64 N)))
(-.f64 (cosh.f64 (log.f64 N)) (sinh.f64 (log.f64 N)))
(exp.f64 (neg.f64 (log.f64 N)))
(+.f64 (cosh.f64 (neg.f64 (log.f64 N))) (sinh.f64 (neg.f64 (log.f64 N))))
#s(literal 1 binary64)
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
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#s(approx (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) (*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) N))
#s(approx (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) (*.f64 (-.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 N N))) N))
#s(approx (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/2 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 N N))) N))
#s(approx (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (*.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -2 binary64)))
#s(approx (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (*.f64 (-.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 N N))) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/2 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 N N))) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (* (+ (* -2 N) 1) N) 2/3) (*.f64 (*.f64 N N) #s(literal -2 binary64)))
#s(approx (- (* (+ (* -2 N) 1) N) 2/3) (*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N)))
#s(approx (- (* (+ (* -2 N) 1) N) 2/3) (*.f64 (-.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 N N))) (*.f64 N N)))
#s(approx (* (+ (* -2 N) 1) N) (*.f64 (*.f64 N N) #s(literal -2 binary64)))
#s(approx (* (+ (* -2 N) 1) N) (*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N)))
#s(approx (+ (* -2 N) 1) (*.f64 #s(literal -2 binary64) N))
#s(approx (+ (* -2 N) 1) (*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) N))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.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 (+ 1 (pow N -3))) (neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))))
#s(approx (log (+ 1 (pow N -3))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 N #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))))
#s(approx (log (+ 1 (pow N -3))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 N #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) N)))
#s(approx (- (pow N -2) (* 1 (pow N -1))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) N)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.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 (/ (- 1 (/ 1/2 N)) N) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (/ (- N 1/2) (* N N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (- N 1/2) (*.f64 (neg.f64 N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (- (/ 1/3 (* N N)) (+ -1 (/ 1/2 N))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) (neg.f64 (/.f64 (-.f64 (neg.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) (neg N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.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 (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (-.f64 (neg.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) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.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 (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg.f64 (/.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) (neg.f64 (/.f64 (-.f64 (neg.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) (fma.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))
#s(approx (+ (* -1/3 N) 1/4) (*.f64 (neg.f64 N) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (/ (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (neg N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.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 (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)))
#s(approx (/ (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (* N 2)) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.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 (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (*.f64 (neg.f64 N) (-.f64 #s(literal 2 binary64) (pow.f64 N #s(literal -1 binary64)))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) N)) N) #s(literal -1 binary64) #s(literal 2 binary64))))
#s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) #s(literal -1 binary64) #s(literal 1 binary64)) N) #s(literal -1 binary64) #s(literal 2 binary64))))
#s(approx (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) (*.f64 (neg.f64 N) (-.f64 #s(literal 2 binary64) (pow.f64 N #s(literal -1 binary64)))))
#s(approx (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) N)) N) #s(literal -1 binary64) #s(literal 2 binary64))))
#s(approx (/ (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (* N N)) (*.f64 (neg.f64 N) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) #s(literal -1 binary64) #s(literal 1 binary64)) N) #s(literal -1 binary64) #s(literal 2 binary64))))
#s(approx (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (*.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (-.f64 #s(literal 2 binary64) (pow.f64 N #s(literal -1 binary64)))))
#s(approx (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (*.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) N)) N) #s(literal -1 binary64) #s(literal 2 binary64))))
#s(approx (+ (* (- (* (+ (* -2 N) 1) N) 2/3) N) 1/2) (*.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) #s(literal -1 binary64) #s(literal 1 binary64)) N) #s(literal -1 binary64) #s(literal 2 binary64))))
#s(approx (- (* (+ (* -2 N) 1) N) 2/3) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) N) #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 N N)))
#s(approx (+ (* -2 N) 1) (*.f64 (neg.f64 N) (-.f64 #s(literal 2 binary64) (pow.f64 N #s(literal -1 binary64)))))

eval125.0ms (3.1%)

Memory
5.8MiB live, 195.4MiB allocated; 67ms collecting garbage
Compiler

Compiled 24 204 to 3 224 computations (86.7% saved)

prune47.0ms (1.2%)

Memory
-30.3MiB live, 68.8MiB allocated; 25ms collecting garbage
Pruning

23 alts after pruning (16 fresh and 7 done)

PrunedKeptTotal
New6429651
Fresh279
Picked235
Done044
Total64623669
Accuracy
100.0%
Counts
669 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (-.f64 (pow.f64 N #s(literal -4 binary64)) (pow.f64 N #s(literal -2 binary64))) (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))))
99.6%
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (* 1 (pow N -1))) (/.f64 (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)) (*.f64 N N)))))
99.2%
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.9%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
96.8%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 #s(approx (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (/.f64 (fma.f64 (-.f64 N #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (*.f64 N N))) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
95.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 #s(approx (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) N))) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
96.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (*.f64 N N))) (+.f64 N N)) (neg.f64 N)))
96.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) N) N)) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
96.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)))
96.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)))
93.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N N))) #s(literal 1 binary64)) N))
96.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) N) N)) (*.f64 (*.f64 #s(literal 2 binary64) N) (neg.f64 N))))
85.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
95.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
95.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N))
95.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
96.8%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) (/.f64 #s(literal -1 binary64) N)))
96.5%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (neg.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))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) N) (neg.f64 N))) (/.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 (*.f64 #s(literal 2 binary64) N) (neg.f64 N)))))
92.7%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 (*.f64 N (neg.f64 (*.f64 N N))) (*.f64 (*.f64 N N) #s(literal -1/2 binary64))) (*.f64 (*.f64 N N) (neg.f64 (*.f64 N N))))))
92.9%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
85.2%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N))))
92.8%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (-.f64 (/.f64 N (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
Compiler

Compiled 1 835 to 760 computations (58.6% saved)

regimes19.0ms (0.5%)

Memory
33.7MiB live, 33.7MiB allocated; 0ms collecting garbage
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (-.f64 (/.f64 N (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N 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) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 #s(approx (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) N))) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (*.f64 #s(literal 1 binary64) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 (*.f64 N (neg.f64 (*.f64 N N))) (*.f64 (*.f64 N N) #s(literal -1/2 binary64))) (*.f64 (*.f64 N N) (neg.f64 (*.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)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.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) #s(literal -1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 #s(approx (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (/.f64 (fma.f64 (-.f64 N #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (*.f64 N N))) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (*.f64 N N))) (+.f64 N N)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (neg.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)) (*.f64 (*.f64 #s(literal 2 binary64) N) (neg.f64 N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) N) N)) (*.f64 (*.f64 #s(literal 2 binary64) N) (neg.f64 N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (*.f64 N N))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.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) (neg.f64 N) (*.f64 #s(literal 1 binary64) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) N) N)) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.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)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (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))) #s(literal 2 binary64)) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (neg.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))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) N) (neg.f64 N))) (/.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 (*.f64 #s(literal 2 binary64) N) (neg.f64 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)) #s(approx (/ (+ (/ (- (/ 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)))))
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))) (+.f64 (pow.f64 N #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))))
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (* 1 (pow N -1))) (/.f64 (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)) (*.f64 N N)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (-.f64 (pow.f64 N #s(literal -4 binary64)) (pow.f64 N #s(literal -2 binary64))) (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
Calls

2 calls:

10.0ms
N
7.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.9%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
99.9%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes19.0ms (0.5%)

Memory
-16.7MiB live, 29.1MiB allocated; 7ms collecting garbage
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (-.f64 (/.f64 N (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N 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) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 #s(approx (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) N))) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (*.f64 #s(literal 1 binary64) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 (*.f64 N (neg.f64 (*.f64 N N))) (*.f64 (*.f64 N N) #s(literal -1/2 binary64))) (*.f64 (*.f64 N N) (neg.f64 (*.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)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.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) #s(literal -1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 #s(approx (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (/.f64 (fma.f64 (-.f64 N #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (*.f64 N N))) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (*.f64 N N))) (+.f64 N N)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (neg.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)) (*.f64 (*.f64 #s(literal 2 binary64) N) (neg.f64 N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) N) N)) (*.f64 (*.f64 #s(literal 2 binary64) N) (neg.f64 N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (*.f64 N N))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.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) (neg.f64 N) (*.f64 #s(literal 1 binary64) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (* N 2)) (/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) N) N)) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.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)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (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))) #s(literal 2 binary64)) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (neg.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))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) N) (neg.f64 N))) (/.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 (*.f64 #s(literal 2 binary64) N) (neg.f64 N)))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)))
Calls

2 calls:

12.0ms
N
6.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
96.9%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
96.9%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.2%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (-.f64 (/.f64 N (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N 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) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 #s(approx (* (* -1 (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2)) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) N))) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N N))) #s(literal 1 binary64)) N))
Calls

2 calls:

3.0ms
N
3.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
95.7%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
95.7%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (-.f64 (/.f64 N (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
Calls

2 calls:

2.0ms
N
2.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
95.6%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
95.6%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (-.f64 (/.f64 N (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
Calls

2 calls:

2.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
93.1%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
93.1%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.2%)

Memory
-39.7MiB live, 5.6MiB allocated; 6ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
Calls

2 calls:

5.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
1.0ms
N
Results
AccuracySegmentsBranch
92.9%1N
92.9%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Accuracy

Total -0.2b remaining (-1.6%)

Threshold costs -0.2b (-1.6%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #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
85.4%1N
85.4%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

derivations350.0ms (8.7%)

Memory
4.0MiB live, 234.0MiB allocated; 39ms collecting garbage
Stop Event
fuel
Compiler

Compiled 150 to 59 computations (60.7% saved)

preprocess105.0ms (2.6%)

Memory
8.0MiB live, 68.7MiB allocated; 49ms collecting garbage
Compiler

Compiled 368 to 168 computations (54.3% saved)

end0.0ms (0%)

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

Profiling

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