Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample1.1s (31.3%)

Memory

63.0MiB live, 738.0MiB allocated; 176ms collecting garbage

Samples

818.0ms	7 469×	1	valid
31.0ms	787×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 656.0ms

ival-log1p: 254.0ms (38.7% of total)

ival-log: 222.0ms (33.9% of total)

adjust: 136.0ms (20.7% of total)

ival-sub!: 42.0ms (6.4% of total)

Bogosity

preprocess85.0ms (2.4%)

Memory

-3.0MiB live, 41.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	24	23
2	37	23
3	69	23
4	141	23
5	415	23
6	2758	23
7	7357	23

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.2%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 12 to 12 computations (0% saved)

series51.0ms (1.4%)

Memory

-0.2MiB live, 45.3MiB allocated; 4ms 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:

Time	Variable		Point	Expression
28.0ms	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))
6.0ms	N	@	inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

rewrite240.0ms (6.8%)

Memory

-38.3MiB live, 109.6MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	516
0	131	464
1	764	433
0	7822	374

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

37 → 84

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
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))) (neg.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(/.f64 (*.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N))))
(/.f64 (*.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(neg.f64 (-.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))
(fma.f64 (log.f64 N) #s(literal -1 binary64) (log.f64 (-.f64 N #s(literal -1 binary64))))
(-.f64 (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 0 binary64)) (log.f64 N))
(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64))))
(+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N)))
(log1p.f64 N)
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (log.f64 (-.f64 #s(literal 1 binary64) N)))
(-.f64 (log.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (log.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (log.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (-.f64 N #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)
(*.f64 N (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)) #s(literal 1 binary64)) N) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #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 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (fma.f64 (*.f64 N N) N #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) (/.f64 #s(literal 1 binary64) N)))
(-.f64 N (*.f64 (/.f64 #s(literal -1 binary64) N) N))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 (.f64 (.f64 N N) N) (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 (.f64 (.f64 N N) N) (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)))
(-.f64 (log.f64 N) #s(literal 0 binary64))
(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)) (/.f64 #s(literal 1 binary64) 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)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))) N))
#s(approx (log (+ N 1)) (log.f64 N))
#s(approx (log (+ N 1)) (+.f64 (/.f64 #s(literal 1 binary64) N) (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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) 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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N))
#s(approx (log (+ N 1)) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))))
#s(approx (log (+ N 1)) (-.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (neg.f64 (log.f64 (neg.f64 N))) (/.f64 #s(literal 1 binary64) N))))
#s(approx (log (+ N 1)) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 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)) (neg.f64 (log.f64 (neg.f64 N)))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) #s(literal 1 binary64)) N)))
#s(approx (log N) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))))

eval7.0ms (0.2%)

Memory: 9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 635 to 286 computations (55% saved)

prune8.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	64	13	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	13	78

Accuracy

99.3%

Counts

78 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.1%	(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))))
	23.2%	(/.f64 (*.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
	23.2%	(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
▶	23.2%	(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
	23.2%	(-.f64 (log1p.f64 N) (log.f64 N))
	23.2%	(-.f64 (log.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) (log.f64 N))
▶	23.2%	(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
▶	23.2%	(-.f64 (log.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)) (log.f64 N))
▶	96.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))) N))
	96.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
	92.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	84.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 388 to 300 computations (22.7% saved)

series47.0ms (1.3%)

Memory

3.2MiB live, 49.6MiB allocated; 3ms collecting garbage

Counts

32 → 178

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))) N))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))) N)
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
N
(/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))
#s(literal 1/4 binary64)
(.f64 (.f64 N N) N)
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
(-.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))
#s(literal -1 binary64)
(log.f64 N)
(-.f64 (log.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)) (log.f64 N))
(log.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))
(+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(*.f64 (log.f64 N) (log.f64 N))

Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (- 1 (/ (- 1/2 (/ 1/3 N)) N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (- 1 (/ (- 1/2 (/ 1/3 N)) N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- 1 (/ (- 1/2 (/ 1/3 N)) N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) #s(hole binary64 (/ -1/3 (pow N 2))))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) #s(hole binary64 (/ (- (* 1/2 N) 1/3) (pow N 2))))
#s(approx (- 1/2 (/ 1/3 N)) #s(hole binary64 (/ -1/3 N)))
#s(approx (- 1/2 (/ 1/3 N)) #s(hole binary64 (/ (- (* 1/2 N) 1/3) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx N #s(hole binary64 N))
#s(approx (/ 1/4 (* (* N N) N)) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (/ 1 N) #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 (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 (log N) #s(hole binary64 (log N)))
#s(approx (- (log (* (- (/ 1 N) -1) N)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (* (- (/ 1 N) -1) N)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (* (- (/ 1 N) -1) N)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (* (- (/ 1 N) -1) N)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (* (- (/ 1 N) -1) N)) #s(hole binary64 N))
#s(approx (log (* (- (/ 1 N) -1) N)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (* (- (/ 1 N) -1) N)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (* (- (/ 1 N) -1) N)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (* (- (/ 1 N) -1) N) #s(hole binary64 1))
#s(approx (* (- (/ 1 N) -1) N) #s(hole binary64 (+ 1 N)))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) #s(hole binary64 (* -1 (log N))))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) #s(hole binary64 (- N (log N))))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) #s(hole binary64 (/ (pow N 2) (log N))))
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) #s(hole binary64 (* (pow N 2) (+ (* -1 (* N (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))))
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) #s(hole binary64 (* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 11/12 (/ 1 (log N)))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))))
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) #s(hole binary64 (* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (+ (* 11/12 (/ 1 (log N))) (* N (- (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))) (+ (* 5/6 (/ 1 (log N))) (* 11/12 (/ 1 (pow (log N) 2))))))))))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))))
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (pow N 2)))
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 N)))))
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))))
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))))
#s(approx (+ (log N) (log (- N -1))) #s(hole binary64 (log N)))
#s(approx (+ (log N) (log (- N -1))) #s(hole binary64 (+ N (log N))))
#s(approx (+ (log N) (log (- N -1))) #s(hole binary64 (+ (log N) (* N (+ 1 (* -1/2 N))))))
#s(approx (+ (log N) (log (- N -1))) #s(hole binary64 (+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) #s(hole binary64 (log N)))
#s(approx (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) #s(hole binary64 (+ (log N) (* -1 N))))
#s(approx (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) #s(hole binary64 (+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1)))))
#s(approx (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) #s(hole binary64 (+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1)))))
#s(approx (* (log N) (log N)) #s(hole binary64 (pow (log N) 2)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) 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 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 1))
#s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (- 1 (/ (- 1/2 (/ 1/3 N)) N)) #s(hole binary64 1))
#s(approx (- 1 (/ (- 1/2 (/ 1/3 N)) N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- 1 (/ (- 1/2 (/ 1/3 N)) N)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
#s(approx (- 1/2 (/ 1/3 N)) #s(hole binary64 1/2))
#s(approx (- 1/2 (/ 1/3 N)) #s(hole binary64 (- 1/2 (* 1/3 (/ 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 (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 (* (- (/ 1 N) -1) N)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (* (- (/ 1 N) -1) N)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (* (- (/ 1 N) -1) N)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (* (- (/ 1 N) -1) N)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (* (- (/ 1 N) -1) N)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (* (- (/ 1 N) -1) N)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (* (- (/ 1 N) -1) N)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (* (- (/ 1 N) -1) N)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (* (- (/ 1 N) -1) N) #s(hole binary64 N))
#s(approx (* (- (/ 1 N) -1) N) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 1))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) #s(hole binary64 (/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)))
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#s(approx (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1/2 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) N)) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
#s(approx (+ (log N) (log (- N -1))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
#s(approx (+ (log N) (log (- N -1))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (+ (* 2 (log -1)) (/ 1 N)))))
#s(approx (+ (log N) (log (- N -1))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) (* 2 (log -1))))))
#s(approx (+ (log N) (log (- N -1))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) (* 2 (log -1))))))
#s(approx (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) #s(hole binary64 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))
#s(approx (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) #s(hole binary64 (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))
#s(approx (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))
#s(approx (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))
#s(approx (* (log N) (log N)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))

Calls

3 calls:

Time	Variable		Point	Expression
20.0ms	N	@	-inf	((- (log (+ N 1)) (log N)) (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (- 1 (/ (- 1/2 (/ 1/3 N)) N)) 1 (/ (- 1/2 (/ 1/3 N)) N) (- 1/2 (/ 1/3 N)) 1/2 (/ 1/3 N) 1/3 N (/ 1/4 (* (* N N) N)) 1/4 (* (* N N) N) (* N N) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (- N -1)) (log N)) (log (- N -1)) (- N -1) -1 (log N) (- (log (* (- (/ 1 N) -1) N)) (log N)) (log (* (- (/ 1 N) -1) N)) (* (- (/ 1 N) -1) N) (- (/ 1 N) -1) (- (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) (* (log N) (log N)))
13.0ms	N	@	inf	((- (log (+ N 1)) (log N)) (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (- 1 (/ (- 1/2 (/ 1/3 N)) N)) 1 (/ (- 1/2 (/ 1/3 N)) N) (- 1/2 (/ 1/3 N)) 1/2 (/ 1/3 N) 1/3 N (/ 1/4 (* (* N N) N)) 1/4 (* (* N N) N) (* N N) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (- N -1)) (log N)) (log (- N -1)) (- N -1) -1 (log N) (- (log (* (- (/ 1 N) -1) N)) (log N)) (log (* (- (/ 1 N) -1) N)) (* (- (/ 1 N) -1) N) (- (/ 1 N) -1) (- (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) (* (log N) (log N)))
10.0ms	N	@	0	((- (log (+ N 1)) (log N)) (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (- 1 (/ (- 1/2 (/ 1/3 N)) N)) 1 (/ (- 1/2 (/ 1/3 N)) N) (- 1/2 (/ 1/3 N)) 1/2 (/ 1/3 N) 1/3 N (/ 1/4 (* (* N N) N)) 1/4 (* (* N N) N) (* N N) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (- N -1)) (log N)) (log (- N -1)) (- N -1) -1 (log N) (- (log (* (- (/ 1 N) -1) N)) (log N)) (log (* (- (/ 1 N) -1) N)) (* (- (/ 1 N) -1) N) (- (/ 1 N) -1) (- (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) (* (log N) (log N)))

Time

Variable

Point

Expression

20.0ms

-inf

((- (log (+ N 1)) (log N)) (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (- 1 (/ (- 1/2 (/ 1/3 N)) N)) 1 (/ (- 1/2 (/ 1/3 N)) N) (- 1/2 (/ 1/3 N)) 1/2 (/ 1/3 N) 1/3 N (/ 1/4 (* (* N N) N)) 1/4 (* (* N N) N) (* N N) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (- N -1)) (log N)) (log (- N -1)) (- N -1) -1 (log N) (- (log (* (- (/ 1 N) -1) N)) (log N)) (log (* (- (/ 1 N) -1) N)) (* (- (/ 1 N) -1) N) (- (/ 1 N) -1) (- (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) (* (log N) (log N)))

13.0ms

inf

((- (log (+ N 1)) (log N)) (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (- 1 (/ (- 1/2 (/ 1/3 N)) N)) 1 (/ (- 1/2 (/ 1/3 N)) N) (- 1/2 (/ 1/3 N)) 1/2 (/ 1/3 N) 1/3 N (/ 1/4 (* (* N N) N)) 1/4 (* (* N N) N) (* N N) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (- N -1)) (log N)) (log (- N -1)) (- N -1) -1 (log N) (- (log (* (- (/ 1 N) -1) N)) (log N)) (log (* (- (/ 1 N) -1) N)) (* (- (/ 1 N) -1) N) (- (/ 1 N) -1) (- (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) (* (log N) (log N)))

10.0ms

((- (log (+ N 1)) (log N)) (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (- 1 (/ (- 1/2 (/ 1/3 N)) N)) 1 (/ (- 1/2 (/ 1/3 N)) N) (- 1/2 (/ 1/3 N)) 1/2 (/ 1/3 N) 1/3 N (/ 1/4 (* (* N N) N)) 1/4 (* (* N N) N) (* N N) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (- N -1)) (log N)) (log (- N -1)) (- N -1) -1 (log N) (- (log (* (- (/ 1 N) -1) N)) (log N)) (log (* (- (/ 1 N) -1) N)) (* (- (/ 1 N) -1) N) (- (/ 1 N) -1) (- (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) (* (log N) (log N)))

rewrite191.0ms (5.4%)

Memory

3.5MiB live, 139.7MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	748	8136
0	800	6712
1	4991	6593
0	8121	6058

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

210 → 363

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))) N))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))) N)
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
N
(/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))
#s(literal 1/4 binary64)
(.f64 (.f64 N N) N)
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
(-.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))
#s(literal -1 binary64)
(log.f64 N)
(-.f64 (log.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)) (log.f64 N))
(log.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))
(+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(*.f64 (log.f64 N) (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 (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (- 1 (/ (- 1/2 (/ 1/3 N)) N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (- 1 (/ (- 1/2 (/ 1/3 N)) N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- 1 (/ (- 1/2 (/ 1/3 N)) N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) #s(hole binary64 (/ -1/3 (pow N 2))))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) #s(hole binary64 (/ (- (* 1/2 N) 1/3) (pow N 2))))
#s(approx (- 1/2 (/ 1/3 N)) #s(hole binary64 (/ -1/3 N)))
#s(approx (- 1/2 (/ 1/3 N)) #s(hole binary64 (/ (- (* 1/2 N) 1/3) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx N #s(hole binary64 N))
#s(approx (/ 1/4 (* (* N N) N)) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (/ 1 N) #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 (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 (log N) #s(hole binary64 (log N)))
#s(approx (- (log (* (- (/ 1 N) -1) N)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (* (- (/ 1 N) -1) N)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (* (- (/ 1 N) -1) N)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (* (- (/ 1 N) -1) N)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (* (- (/ 1 N) -1) N)) #s(hole binary64 N))
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#s(approx (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (-.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (/.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (neg.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))) N)) (neg.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))))) N)) (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (+.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (/.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (neg.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))))) (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (neg.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) #s(literal -1/3 binary64)))) N)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))))) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (neg.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))) N))) (neg.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))))) N)) (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))
#s(approx (* (log (- N -1)) (log (- N -1))) (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (* (log (- N -1)) (log (- N -1))) (fma.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) N) #s(literal 2 binary64) (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))
#s(approx (* (log (- N -1)) (log (- N -1))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) N)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 N))))))) N)) (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))
#s(approx (* (log (- N -1)) (log (- N -1))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (fma.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal -2/3 binary64) #s(literal 1 binary64)) N))) N)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 N))))))) N)) (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))
#s(approx (+ (log N) (log (- N -1))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))
#s(approx (+ (log N) (log (- N -1))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (+ (log N) (log (- N -1))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)) #s(literal 0 binary64))))
#s(approx (+ (log N) (log (- N -1))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) (-.f64 (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(literal 0 binary64))))
#s(approx (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))))
#s(approx (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) N))) (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))
#s(approx (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) N)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)) N)))) (neg.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))))) N)) (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))
#s(approx (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) N)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64)) N)))) (neg.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)) N)))) (fma.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) (neg.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))))))) N)) (neg.f64 (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))))) N)) (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))
#s(approx (* (log N) (log N)) (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))

eval51.0ms (1.4%)

Memory: 22.6MiB live, 67.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 7 326 to 2 112 computations (71.2% saved)

prune32.0ms (0.9%)

Memory

-18.1MiB live, 36.4MiB allocated; 7ms collecting garbage

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	503	16	519
Fresh	2	6	8
Picked	0	5	5
Done	0	0	0
Total	505	27	532

Accuracy

99.5%

Counts

532 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.2%	(fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (neg.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
	23.1%	(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) #s(literal 2 binary64))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
	23.1%	(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))))
	23.1%	(/.f64 (-.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))
▶	23.2%	(/.f64 (*.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
	24.1%	(-.f64 (/.f64 (.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64))) (log.f64 (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
▶	23.2%	(-.f64 (/.f64 (.f64 (log1p.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
	24.4%	(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (-.f64 (log.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64))) (log.f64 (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))))))))
	23.4%	(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (-.f64 (log.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))))))
✓	23.2%	(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
	23.2%	(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (.f64 (log.f64 N) (/.f64 (log.f64 N) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
	23.3%	(-.f64 (+.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (log.f64 N)) (log.f64 N))
	23.0%	(-.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
	23.2%	(-.f64 (log1p.f64 N) (log.f64 N))
	23.2%	(-.f64 (log.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) (log.f64 N))
✓	23.2%	(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
✓	23.2%	(-.f64 (log.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)) (log.f64 N))
	96.8%	#s(approx (- (log (- N -1)) (log N)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 N N) N))) N))
	95.4%	#s(approx (- (log (- N -1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	92.6%	#s(approx (- (log (- N -1)) (log N)) (/.f64 (-.f64 #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 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 N N) N))) N))
✓	96.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))) N))
▶	96.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
▶	96.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) N))
✓	84.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) (*.f64 N N)))))

Compiler

Compiled 979 to 741 computations (24.3% saved)

series42.0ms (1.2%)

Memory

-1.2MiB live, 45.0MiB allocated; 3ms collecting garbage

Counts

41 → 252

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
N
#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))
(/.f64 #s(literal 1/2 binary64) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) N))
(/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) N)
#s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N)))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))
(fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64))
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))
(-.f64 N #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
(.f64 (.f64 N N) N)
(*.f64 N N)
(/.f64 (*.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(*.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))
(+.f64 (log.f64 N) (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))
#s(literal -1 binary64)
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(-.f64 (/.f64 (.f64 (log1p.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(/.f64 (*.f64 (log1p.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(*.f64 (log1p.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))
(log1p.f64 N)
(/.f64 (*.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(*.f64 (log.f64 N) (log.f64 N))

Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (/ -1/4 N)))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx N #s(hole binary64 N))
#s(approx (- (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 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (* (* N N) N)) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (* (* N N) N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (* (* N N) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (* (* N N) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (- (* 1/3 N) 1/4)))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (- (* N (+ 1/3 (* -1/2 N))) 1/4)))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4)))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* -1/2 N))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* N (- N 1/2)))))
#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) N) #s(hole binary64 (pow N 3)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(hole binary64 (* -1 (log N))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(hole binary64 (- N (log N))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) #s(hole binary64 (* -1 (pow (log N) 2))))
#s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) #s(hole binary64 (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (* -1 (log N)))))))
#s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) #s(hole binary64 (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (+ (* -1 (log N)) (* N (+ 1 (+ (* -1/2 (log N)) (* 1/2 (log N)))))))))))
#s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) #s(hole binary64 (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (+ (* -1 (log N)) (* N (+ 1 (+ (* -1/2 (log N)) (+ (* 1/2 (log N)) (* N (- (+ (* -1/3 (log N)) (* 1/3 (log N))) 1))))))))))))
#s(approx (+ (log N) (log (- N -1))) #s(hole binary64 (log N)))
#s(approx (+ (log N) (log (- N -1))) #s(hole binary64 (+ N (log N))))
#s(approx (+ (log N) (log (- N -1))) #s(hole binary64 (+ (log N) (* N (+ 1 (* -1/2 N))))))
#s(approx (+ (log N) (log (- N -1))) #s(hole binary64 (+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (log N) #s(hole binary64 (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 (- (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) #s(hole binary64 (* -1 (log N))))
#s(approx (- (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) #s(hole binary64 (- N (log N))))
#s(approx (- (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) #s(hole binary64 (/ (pow N 2) (log N))))
#s(approx (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) #s(hole binary64 (* (pow N 2) (+ (* -1 (* N (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))))
#s(approx (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) #s(hole binary64 (* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 11/12 (/ 1 (log N)))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))))
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Calls

3 calls:

Time	Variable		Point	Expression
15.0ms	N	@	inf	((- (log (+ N 1)) (log N)) (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) 1/2 (/ (- 1/3 (/ 1/4 N)) N) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 N (- (log (- N -1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (* (* N N) N)) (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (+ (* (- N 1/2) N) 1/3) (- N 1/2) -1/4 (* (* N N) N) (* N N) (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1))) (log N) (log (- N -1)) (- N -1) -1 (- (log (- N -1)) (log N)) (- (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) (* (log (+ 1 N)) (log (- N -1))) (log (+ 1 N)) (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) (* (log N) (log N)))
11.0ms	N	@	-inf	((- (log (+ N 1)) (log N)) (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) 1/2 (/ (- 1/3 (/ 1/4 N)) N) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 N (- (log (- N -1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (* (* N N) N)) (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (+ (* (- N 1/2) N) 1/3) (- N 1/2) -1/4 (* (* N N) N) (* N N) (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1))) (log N) (log (- N -1)) (- N -1) -1 (- (log (- N -1)) (log N)) (- (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) (* (log (+ 1 N)) (log (- N -1))) (log (+ 1 N)) (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) (* (log N) (log N)))
10.0ms	N	@	0	((- (log (+ N 1)) (log N)) (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) 1/2 (/ (- 1/3 (/ 1/4 N)) N) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 N (- (log (- N -1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (* (* N N) N)) (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (+ (* (- N 1/2) N) 1/3) (- N 1/2) -1/4 (* (* N N) N) (* N N) (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1))) (log N) (log (- N -1)) (- N -1) -1 (- (log (- N -1)) (log N)) (- (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) (* (log (+ 1 N)) (log (- N -1))) (log (+ 1 N)) (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) (* (log N) (log N)))

Time

Variable

Point

Expression

15.0ms

inf

((- (log (+ N 1)) (log N)) (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) 1/2 (/ (- 1/3 (/ 1/4 N)) N) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 N (- (log (- N -1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (* (* N N) N)) (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (+ (* (- N 1/2) N) 1/3) (- N 1/2) -1/4 (* (* N N) N) (* N N) (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1))) (log N) (log (- N -1)) (- N -1) -1 (- (log (- N -1)) (log N)) (- (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) (* (log (+ 1 N)) (log (- N -1))) (log (+ 1 N)) (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) (* (log N) (log N)))

11.0ms

-inf

((- (log (+ N 1)) (log N)) (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) 1/2 (/ (- 1/3 (/ 1/4 N)) N) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 N (- (log (- N -1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (* (* N N) N)) (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (+ (* (- N 1/2) N) 1/3) (- N 1/2) -1/4 (* (* N N) N) (* N N) (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1))) (log N) (log (- N -1)) (- N -1) -1 (- (log (- N -1)) (log N)) (- (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) (* (log (+ 1 N)) (log (- N -1))) (log (+ 1 N)) (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) (* (log N) (log N)))

10.0ms

((- (log (+ N 1)) (log N)) (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) 1/2 (/ (- 1/3 (/ 1/4 N)) N) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 N (- (log (- N -1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (* (* N N) N)) (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (+ (* (- N 1/2) N) 1/3) (- N 1/2) -1/4 (* (* N N) N) (* N N) (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1))) (log N) (log (- N -1)) (- N -1) -1 (- (log (- N -1)) (log N)) (- (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) (* (log (+ 1 N)) (log (- N -1))) (log (+ 1 N)) (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) (* (log N) (log N)))

rewrite215.0ms (6.1%)

Memory

12.2MiB live, 149.4MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	949	10325
0	1013	8413
1	6166	8334
0	8392	8009

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

293 → 458

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
N
#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))
(/.f64 #s(literal 1/2 binary64) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) N))
(/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) N)
#s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N)))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))
(fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64))
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))
(-.f64 N #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
(.f64 (.f64 N N) N)
(*.f64 N N)
(/.f64 (*.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(*.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))
(+.f64 (log.f64 N) (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))
#s(literal -1 binary64)
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(-.f64 (/.f64 (.f64 (log1p.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(/.f64 (*.f64 (log1p.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(*.f64 (log1p.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))
(log1p.f64 N)
(/.f64 (*.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(*.f64 (log.f64 N) (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 (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (/ -1/4 N)))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx N #s(hole binary64 N))
#s(approx (- (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 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (* (* N N) N)) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (* (* N N) N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (* (* N N) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (* (* N N) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (- (* 1/3 N) 1/4)))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (- (* N (+ 1/3 (* -1/2 N))) 1/4)))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4)))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* -1/2 N))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* N (- N 1/2)))))
#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) N) #s(hole binary64 (pow N 3)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(hole binary64 (* -1 (log N))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(hole binary64 (- N (log N))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
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#s(approx (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))
#s(approx (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))
#s(approx (* (log N) (log N)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))

Outputs
#s(approx (- (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))) (neg.f64 N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) N))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))))))
(neg.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))
(+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)))
#s(literal 1 binary64)
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (neg.f64 N))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64) (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))
(-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) N))
(+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (-.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))))
(neg.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)))
(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))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))
(+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 (/.f64 #s(literal 1/4 binary64) N) N))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) N) (/.f64 #s(literal 1/4 binary64) N))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))
(/.f64 (-.f64 #s(literal 1/27 binary64) (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)))) (+.f64 #s(literal 1/9 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) N) (/.f64 #s(literal 1/4 binary64) N) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))))
(neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
(+.f64 #s(literal 1/3 binary64) (neg.f64 (/.f64 #s(literal 1/4 binary64) N)))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) N)))
#s(literal 1/3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal -1/4 binary64) (neg.f64 N))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
N
#s(approx (- (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/2 binary64) N))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/2 binary64) N) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))))
(neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) N)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal -1/2 binary64) (neg.f64 N))
(/.f64 #s(literal 1/2 binary64) N)
#s(approx (- (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (log (- N -1))))) (/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) N))
(/.f64 (neg.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N)))) (neg.f64 N))
(/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) N)
#s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N)))
(/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N N)) N)
(/.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64))) (neg.f64 (.f64 (.f64 N N) N)))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))
(-.f64 (/.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 N N) N)))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) (.f64 (.f64 N N) N)) (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 N N) N)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) #s(literal 1/16 binary64)) (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal 1/4 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) #s(literal 1/16 binary64)) (-.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal -1/4 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal 3 binary64)) #s(literal 1/64 binary64)) (fma.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) (+.f64 #s(literal 1/16 binary64) (.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal 3 binary64)) #s(literal -1/64 binary64)) (fma.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) (-.f64 #s(literal 1/16 binary64) (.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal -1/4 binary64)))))
(neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)))
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(fma.f64 N (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) #s(literal -1/4 binary64))
(-.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal 1/4 binary64))
(+.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal -1/4 binary64))
(+.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) (.f64 (-.f64 N #s(literal 1/2 binary64)) N))) (-.f64 #s(literal 1/3 binary64) (.f64 (-.f64 N #s(literal 1/2 binary64)) N)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) (.f64 (-.f64 N #s(literal 1/2 binary64)) N)) #s(literal 1/9 binary64)) (-.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) (.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 N #s(literal 1/2 binary64)) N)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) (.f64 (-.f64 N #s(literal 1/2 binary64)) N) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)))))
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))
(fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 N) (-.f64 N #s(literal 1/2 binary64))))
(+.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N))
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#s(approx (/ (* (log (+ 1 N)) (log (- N -1))) (+ (log N) (log (- N -1)))) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (+.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (/.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))) (neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))) (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))) N)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))) (neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))) N))) (neg.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))) N)) (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))
#s(approx (* (log (+ 1 N)) (log (- N -1))) (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (* (log (+ 1 N)) (log (- N -1))) (fma.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) N) #s(literal 2 binary64) (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))
#s(approx (* (log (+ 1 N)) (log (- N -1))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) N)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 N))))))) N)) (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))
#s(approx (* (log (+ 1 N)) (log (- N -1))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (fma.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal -2/3 binary64) #s(literal 1 binary64)) N))) N)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 N))))))) N)) (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))
#s(approx (log (+ 1 N)) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 N)) (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (/.f64 #s(literal 1 binary64) N)) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 N)) (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 N)) (+.f64 (+.f64 (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)) (neg.f64 (neg.f64 (log.f64 (neg.f64 N))))) (log.f64 #s(literal -1 binary64))))
#s(approx (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))))
#s(approx (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) N))) (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))
#s(approx (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) N)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)) N)))) (neg.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))) N)) (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))
#s(approx (/ (* (log N) (log N)) (+ (log N) (log (- N -1)))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) N)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64)) N)))) (neg.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)) N)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))) (neg.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)))))) N)) (neg.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))) N)) (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))
#s(approx (* (log N) (log N)) (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))

eval543.0ms (15.3%)

Memory: -39.5MiB live, 82.4MiB allocated; 816ms collecting garbage
Compiler: Compiled 9 662 to 2 699 computations (72.1% saved)

prune42.0ms (1.2%)

Memory

-23.1MiB live, 44.3MiB allocated; 8ms collecting garbage

Pruning

41 alts after pruning (31 fresh and 10 done)

	Pruned	Kept	Total
New	604	18	622
Fresh	4	13	17
Picked	0	5	5
Done	0	5	5
Total	608	41	649

Accuracy

99.5%

Counts

649 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.2%	(fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (neg.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
	23.1%	(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) #s(literal 2 binary64))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
	23.1%	(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))))
	23.1%	(/.f64 (-.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))
	23.2%	(/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (-.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
▶	23.2%	(/.f64 (.f64 (+.f64 (log.f64 N) (-.f64 (log.f64 (-.f64 (.f64 N N) #s(literal 1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
	23.2%	(/.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
	23.2%	(/.f64 (.f64 (+.f64 (log.f64 N) (log.f64 (/.f64 (-.f64 (.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
	23.1%	(/.f64 (.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (neg.f64 (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
	20.8%	(/.f64 (.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (/.f64 (-.f64 (.f64 (log.f64 N) (log.f64 N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))) (-.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
	23.2%	(/.f64 (.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (-.f64 (log.f64 (-.f64 (.f64 N N) #s(literal 1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))))
✓	23.2%	(/.f64 (*.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
	21.2%	(/.f64 (.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) #s(approx (+ (log N) (log (- N -1))) (-.f64 (+.f64 (+.f64 (log.f64 (.f64 N N)) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 N N) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
	21.1%	(/.f64 (.f64 #s(approx (+ (log N) (log (- N -1))) (-.f64 (+.f64 (+.f64 (log.f64 (.f64 N N)) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 N N) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
	96.6%	(/.f64 #s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) #s(literal -2/3 binary64) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N)) (/.f64 (neg.f64 (log.f64 N)) N)) (/.f64 #s(literal 1 binary64) N)) (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 N)) (.f64 (.f64 N N) N)))) (log.f64 (.f64 N N))) (/.f64 #s(literal 1 binary64) (.f64 N N))) N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
	24.1%	(-.f64 (/.f64 (.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64))) (log.f64 (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
✓	23.2%	(-.f64 (/.f64 (.f64 (log1p.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
	24.4%	(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (-.f64 (log.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64))) (log.f64 (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))))))))
▶	23.4%	(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (-.f64 (log.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))))))
✓	23.2%	(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
	23.2%	(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (.f64 (log.f64 N) (/.f64 (log.f64 N) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
	23.3%	(-.f64 (+.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (log.f64 N)) (log.f64 N))
	23.0%	(-.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
	23.2%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	23.2%	(-.f64 (log.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) (log.f64 N))
✓	23.2%	(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
✓	23.2%	(-.f64 (log.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)) (log.f64 N))
	95.4%	#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	92.6%	#s(approx (- (log (- N -1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	92.5%	#s(approx (- (log (- N -1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
▶	92.3%	#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))))
	96.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 N N) N))) N))
✓	96.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))) N))
✓	96.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- 1/3 (/ 1/4 N)) #s(literal 1/3 binary64)) N)) N)) N))
✓	96.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) N))
	91.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (exp.f64 (log.f64 (.f64 N N))) N))) N))
	89.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (exp.f64 (*.f64 (log.f64 N) #s(literal 3 binary64))))) N))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N N)) N)) N))
✓	84.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	96.8%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) N)))

Compiler

Compiled 1 658 to 1 261 computations (23.9% saved)

series47.0ms (1.3%)

Memory

0.9MiB live, 50.4MiB allocated; 6ms collecting garbage

Counts

43 → 284

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) N)))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) N)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
#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))
(*.f64 N N)
(-.f64 (log.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) (log.f64 N))
(log.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 N N) N #s(literal 1 binary64))
(fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 N #s(literal 1 binary64))
(log.f64 N)
(/.f64 (.f64 (+.f64 (log.f64 N) (-.f64 (log.f64 (-.f64 (.f64 N N) #s(literal 1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(.f64 (+.f64 (log.f64 N) (-.f64 (log.f64 (-.f64 (.f64 N N) #s(literal 1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))
(+.f64 (log.f64 N) (-.f64 (log.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))
(log.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)))
(-.f64 (*.f64 N N) #s(literal 1 binary64))
(log.f64 (-.f64 N #s(literal 1 binary64)))
(-.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))
#s(literal -1 binary64)
(+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (-.f64 (log.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))))))
(/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))
(/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (-.f64 (log.f64 (-.f64 (.f64 N N) #s(literal 1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))))
(*.f64 (log.f64 N) (log.f64 N))

Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (- (/ 1 N) (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (- (/ 1 N) (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (- (/ 1 N) (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (- (/ 1 N) (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) #s(hole binary64 (/ 1/4 (pow N 4))))
#s(approx (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 4))))
#s(approx (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 4))))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (/ -1/4 N)))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx (- (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 (- (log (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1))) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1))) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1))) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1))) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1))) #s(hole binary64 N))
#s(approx (log (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1))) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1))) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1))) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1)) #s(hole binary64 1))
#s(approx (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1)) #s(hole binary64 (+ 1 N)))
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Calls

3 calls:

Time	Variable		Point	Expression
20.0ms	N	@	-inf	((- (log (+ N 1)) (log N)) (- (/ 1 N) (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N)) (/ 1 N) 1 N (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) 1/2 (/ (- 1/3 (/ 1/4 N)) N) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 (- (log (- N -1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) (* N N) (- (log (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1))) (log N)) (log (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1))) (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1)) (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1) (- N 1) (log N) (/ (* (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (* (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))) (- (log (- N -1)) (log N))) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))) (- (log (- (* N N) 1)) (log (- N 1))) (log (- (* N N) 1)) (- (* N N) 1) (log (- N 1)) (- (log (- N -1)) (log N)) (log (- N -1)) (- N -1) -1 (+ (log N) (log (- N -1))) (- (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))))) (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (* (log (- N -1)) (log (- N -1))) (/ (* (log N) (log N)) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1))))) (* (log N) (log N)))
11.0ms	N	@	inf	((- (log (+ N 1)) (log N)) (- (/ 1 N) (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N)) (/ 1 N) 1 N (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) 1/2 (/ (- 1/3 (/ 1/4 N)) N) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 (- (log (- N -1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) (* N N) (- (log (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1))) (log N)) (log (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1))) (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1)) (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1) (- N 1) (log N) (/ (* (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (* (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))) (- (log (- N -1)) (log N))) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))) (- (log (- (* N N) 1)) (log (- N 1))) (log (- (* N N) 1)) (- (* N N) 1) (log (- N 1)) (- (log (- N -1)) (log N)) (log (- N -1)) (- N -1) -1 (+ (log N) (log (- N -1))) (- (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))))) (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (* (log (- N -1)) (log (- N -1))) (/ (* (log N) (log N)) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1))))) (* (log N) (log N)))
10.0ms	N	@	0	((- (log (+ N 1)) (log N)) (- (/ 1 N) (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N)) (/ 1 N) 1 N (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) 1/2 (/ (- 1/3 (/ 1/4 N)) N) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 (- (log (- N -1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) (* N N) (- (log (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1))) (log N)) (log (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1))) (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1)) (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1) (- N 1) (log N) (/ (* (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (* (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))) (- (log (- N -1)) (log N))) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))) (- (log (- (* N N) 1)) (log (- N 1))) (log (- (* N N) 1)) (- (* N N) 1) (log (- N 1)) (- (log (- N -1)) (log N)) (log (- N -1)) (- N -1) -1 (+ (log N) (log (- N -1))) (- (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))))) (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (* (log (- N -1)) (log (- N -1))) (/ (* (log N) (log N)) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1))))) (* (log N) (log N)))

Time

Variable

Point

Expression

20.0ms

-inf

((- (log (+ N 1)) (log N)) (- (/ 1 N) (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N)) (/ 1 N) 1 N (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) 1/2 (/ (- 1/3 (/ 1/4 N)) N) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 (- (log (- N -1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) (* N N) (- (log (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1))) (log N)) (log (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1))) (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1)) (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1) (- N 1) (log N) (/ (* (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (* (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))) (- (log (- N -1)) (log N))) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))) (- (log (- (* N N) 1)) (log (- N 1))) (log (- (* N N) 1)) (- (* N N) 1) (log (- N 1)) (- (log (- N -1)) (log N)) (log (- N -1)) (- N -1) -1 (+ (log N) (log (- N -1))) (- (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))))) (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (* (log (- N -1)) (log (- N -1))) (/ (* (log N) (log N)) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1))))) (* (log N) (log N)))

11.0ms

inf

((- (log (+ N 1)) (log N)) (- (/ 1 N) (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N)) (/ 1 N) 1 N (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) 1/2 (/ (- 1/3 (/ 1/4 N)) N) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 (- (log (- N -1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) (* N N) (- (log (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1))) (log N)) (log (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1))) (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1)) (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1) (- N 1) (log N) (/ (* (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (* (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))) (- (log (- N -1)) (log N))) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))) (- (log (- (* N N) 1)) (log (- N 1))) (log (- (* N N) 1)) (- (* N N) 1) (log (- N 1)) (- (log (- N -1)) (log N)) (log (- N -1)) (- N -1) -1 (+ (log N) (log (- N -1))) (- (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))))) (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (* (log (- N -1)) (log (- N -1))) (/ (* (log N) (log N)) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1))))) (* (log N) (log N)))

10.0ms

((- (log (+ N 1)) (log N)) (- (/ 1 N) (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N)) (/ 1 N) 1 N (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) 1/2 (/ (- 1/3 (/ 1/4 N)) N) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 (- (log (- N -1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) (* N N) (- (log (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1))) (log N)) (log (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1))) (/ (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1)) (+ (* (* N N) N) 1) (+ (* N (- N 1)) 1) (- N 1) (log N) (/ (* (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (* (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))) (- (log (- N -1)) (log N))) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))) (- (log (- (* N N) 1)) (log (- N 1))) (log (- (* N N) 1)) (- (* N N) 1) (log (- N 1)) (- (log (- N -1)) (log N)) (log (- N -1)) (- N -1) -1 (+ (log N) (log (- N -1))) (- (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (/ (* (log N) (log N)) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))))) (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (* (log (- N -1)) (log (- N -1))) (/ (* (log N) (log N)) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1))))) (* (log N) (log N)))

rewrite255.0ms (7.2%)

Memory

7.9MiB live, 193.7MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1129	11559
0	1201	10282
1	7634	9606
0	9160	8702

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

327 → 490

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) N)))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) N)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
#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))
(*.f64 N N)
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(-.f64 (*.f64 N N) #s(literal 1 binary64))
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(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
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(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (-.f64 (log.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))))))
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(*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))
(/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (-.f64 (log.f64 (-.f64 (.f64 N N) #s(literal 1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))))
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#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
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#s(approx (+ (log N) (- (log (- (* N N) 1)) (log (- N 1)))) #s(hole binary64 (log N)))
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#s(approx (/ (* (log N) (log N)) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1))))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))))
#s(approx (* (log N) (log N)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))

Outputs
#s(approx (- (log (- N -1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (.f64 N N)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (.f64 N N)) (.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) N) (.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)
(neg.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))
(+.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) N)
(exp.f64 (neg.f64 (log.f64 N)))
#s(literal 1 binary64)
N
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (neg.f64 (*.f64 N N)))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) (neg.f64 N))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) N)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) #s(literal 1/2 binary64) (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (.f64 N N)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (.f64 N N)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (.f64 N N)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (neg.f64 N))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)
(-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) N))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (-.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))))
(neg.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)))
(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))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))
(+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 (/.f64 #s(literal 1/4 binary64) N) N))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) N) (/.f64 #s(literal 1/4 binary64) N))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) N) (/.f64 #s(literal 1/4 binary64) N) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))))
(neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
(+.f64 #s(literal 1/3 binary64) (neg.f64 (/.f64 #s(literal 1/4 binary64) N)))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) N)))
#s(literal 1/3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal -1/4 binary64) (neg.f64 N))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 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 (-.f64 N #s(literal 1/2 binary64)) N) N)
(/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) (neg.f64 (*.f64 N N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(-.f64 (/.f64 N (.f64 N N)) (/.f64 #s(literal 1/2 binary64) (.f64 N N)))
(/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal 1/8 binary64)) (fma.f64 N N (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) N))))
(neg.f64 (-.f64 #s(literal 1/2 binary64) N))
(-.f64 N #s(literal 1/2 binary64))
(+.f64 N #s(literal -1/2 binary64))
(*.f64 (pow.f64 N #s(literal 1 binary64)) (pow.f64 N #s(literal 1 binary64)))
(*.f64 (neg.f64 N) (neg.f64 N))
(*.f64 (fabs.f64 N) (fabs.f64 N))
(*.f64 N N)
(pow.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))))
(exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (log.f64 (/.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (log.f64 (/.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))) (.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (log.f64 N)))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 (/.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (log.f64 (/.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (fma.f64 (log.f64 N) (log.f64 N) (.f64 (log.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (log.f64 N)))))
(neg.f64 (-.f64 (log.f64 N) (log.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))))
(-.f64 (log.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (log.f64 N))
(+.f64 (log.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (neg.f64 (log.f64 N)))
(-.f64 (log.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
(-.f64 (log.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (log.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(log.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (.f64 N N) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N)) #s(literal 1 binary64)) (-.f64 (.f64 (*.f64 N N) N) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 N N) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 N N) N) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 N N) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N)) (.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)))))
(fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 N N) N #s(literal 1 binary64))
(fma.f64 N (*.f64 N N) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 N N) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) (.f64 (-.f64 N #s(literal 1 binary64)) N))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal 1 binary64)) N)))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) (.f64 (-.f64 N #s(literal 1 binary64)) N) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) (.f64 (-.f64 N #s(literal 1 binary64)) N)) (.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal 1 binary64)) N)))))
(fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) (-.f64 N #s(literal 1 binary64))))
(+.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) N))
(/.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal 1 binary64)) (fma.f64 N N (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 1 binary64)))))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) N))
(-.f64 N #s(literal 1 binary64))
(+.f64 N #s(literal -1 binary64))
(log.f64 N)
(*.f64 (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) (/.f64 (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))
(/.f64 (neg.f64 (*.f64 (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))) (neg.f64 (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))
(/.f64 (*.f64 (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))
(*.f64 (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))
(*.f64 (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))
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#s(approx (/ (* (log (- N -1)) (log (- N -1))) (+ (log N) (log (- N -1)))) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (+.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))) (neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))) (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))) N)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))) (neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))) N))) (neg.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))) N)) (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) #s(literal 0 binary64)))))
#s(approx (* (log (- N -1)) (log (- N -1))) (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (* (log (- N -1)) (log (- N -1))) (fma.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) N) #s(literal 2 binary64) (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))
#s(approx (* (log (- N -1)) (log (- N -1))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) N)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 N))))))) N)) (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))
#s(approx (* (log (- N -1)) (log (- N -1))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (fma.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal -2/3 binary64) #s(literal 1 binary64)) N))) N)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 N))))))) N)) (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))
#s(approx (/ (* (log N) (log N)) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1))))) (*.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64)))
#s(approx (/ (* (log N) (log N)) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1))))) (fma.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N)))) N)) #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64))))
#s(approx (/ (* (log N) (log N)) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1))))) (fma.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N)))) N)) #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal 3 binary64)) N)) #s(literal 1/8 binary64))) (.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) #s(literal -1/4 binary64))) N))))
#s(approx (/ (* (log N) (log N)) (+ (log N) (- (log (- (* N N) 1)) (log (- N 1))))) (fma.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) (.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (.f64 (neg.f64 (log.f64 (neg.f64 N))) N)) #s(literal -1/2 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N)))) N)) #s(literal -1/12 binary64) (.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal 3 binary64)) N)) #s(literal 1/16 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) (.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal 3 binary64))) #s(literal 1/8 binary64))))) N)) (.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) #s(literal -1/4 binary64))) N))))
#s(approx (* (log N) (log N)) (pow.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 N)))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))

eval71.0ms (2%)

Memory: 6.1MiB live, 93.4MiB allocated; 19ms collecting garbage
Compiler: Compiled 10 518 to 2 957 computations (71.9% saved)

prune47.0ms (1.3%)

Memory

16.3MiB live, 62.4MiB allocated; 6ms collecting garbage

Pruning

46 alts after pruning (34 fresh and 12 done)

	Pruned	Kept	Total
New	653	11	664
Fresh	3	23	26
Picked	3	2	5
Done	0	10	10
Total	659	46	705

Accuracy

99.5%

Counts

705 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.2%	(fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (neg.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
	23.1%	(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) #s(literal 2 binary64))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
	23.1%	(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))))
	23.1%	(/.f64 (-.f64 (.f64 (log.f64 (/.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (log.f64 (/.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))) (.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (log.f64 N)))
	23.1%	(/.f64 (-.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))
	23.2%	(/.f64 (*.f64 (-.f64 (+.f64 (log.f64 N) (log.f64 (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (-.f64 N #s(literal 1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
	23.2%	(/.f64 (.f64 (+.f64 (log.f64 N) (-.f64 (log.f64 (-.f64 (.f64 N N) #s(literal 1 binary64))) (-.f64 (log.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal 1 binary64))) (log.f64 (fma.f64 N N (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 1 binary64)))))))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
	21.0%	(/.f64 (.f64 (+.f64 (log.f64 N) (-.f64 #s(approx (log (- ( N N) 1)) (-.f64 (.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N))) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (log.f64 (-.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
	23.2%	(/.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
	23.2%	(/.f64 (.f64 (+.f64 (log.f64 N) (log.f64 (/.f64 (-.f64 (.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
	23.1%	(/.f64 (.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (neg.f64 (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
	20.8%	(/.f64 (.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (/.f64 (-.f64 (.f64 (log.f64 N) (log.f64 N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))) (-.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
	23.2%	(/.f64 (.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (-.f64 (log.f64 (-.f64 (.f64 N N) #s(literal 1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))))
✓	23.2%	(/.f64 (*.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
	21.2%	(/.f64 (.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) #s(approx (+ (log N) (log (- N -1))) (-.f64 (+.f64 (+.f64 (log.f64 (.f64 N N)) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 N N) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
	21.1%	(/.f64 (.f64 #s(approx (+ (log N) (log (- N -1))) (-.f64 (+.f64 (+.f64 (log.f64 (.f64 N N)) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 N N) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
	96.6%	(/.f64 #s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) #s(literal -2/3 binary64) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N)) (/.f64 (neg.f64 (log.f64 N)) N)) (/.f64 #s(literal 1 binary64) N)) (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 N)) (.f64 (.f64 N N) N)))) (log.f64 (.f64 N N))) (/.f64 #s(literal 1 binary64) (.f64 N N))) N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
	24.1%	(-.f64 (/.f64 (.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64))) (log.f64 (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
✓	23.2%	(-.f64 (/.f64 (.f64 (log1p.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
	23.4%	(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))))))
	24.4%	(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (-.f64 (log.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64))) (log.f64 (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))))))))
✓	23.2%	(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
	23.2%	(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (.f64 (log.f64 N) (/.f64 (log.f64 N) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
	23.3%	(-.f64 (+.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (log.f64 N)) (log.f64 N))
	23.0%	(-.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
	23.2%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	23.2%	(-.f64 (log.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) (log.f64 N))
✓	23.2%	(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
✓	23.2%	(-.f64 (log.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)) (log.f64 N))
	95.4%	#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	92.6%	#s(approx (- (log (- N -1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	92.3%	#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))))
	84.6%	#s(approx (- (log (- N -1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N))))
	92.3%	#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)))))
✓	96.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))) N))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) N) (.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))) (*.f64 N N)))
✓	96.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- 1/3 (/ 1/4 N)) #s(literal 1/3 binary64)) N)) N)) N))
✓	96.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) N))
	91.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (exp.f64 (log.f64 (.f64 N N))) N))) N))
	89.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (exp.f64 (*.f64 (log.f64 N) #s(literal 3 binary64))))) N))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N N)) N)) N))
✓	84.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	96.8%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))))
	95.4%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(approx (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) (*.f64 N N)))))
	92.5%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(approx (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))

Compiler

Compiled 1 781 to 1 132 computations (36.4% saved)

regimes35.0ms (1%)

Memory

-21.0MiB live, 34.3MiB allocated; 10ms collecting garbage

Counts

59 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #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)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(approx (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (- (log (- N -1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- 1/3 (/ 1/4 N)) #s(literal 1/3 binary64)) N)) N)) N))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(approx (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) (*.f64 N N)))))
#s(approx (- (log (- N -1)) (log N)) (/.f64 (-.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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (/.f64 (-.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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N))
(-.f64 (log.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))) N))
(-.f64 (+.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (log.f64 N)) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) N) (.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))) (*.f64 N N)))
#s(approx (- (log (- N -1)) (log N)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 N N) N))) N))
(-.f64 (log.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (exp.f64 (*.f64 (log.f64 N) #s(literal 3 binary64))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (exp.f64 (log.f64 (.f64 N N))) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 N N) N))) N))
(/.f64 (*.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))
(/.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 (+.f64 (log.f64 N) (log.f64 (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (-.f64 N #s(literal 1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (-.f64 (log.f64 (-.f64 (.f64 N N) #s(literal 1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))))
(/.f64 (.f64 (+.f64 (log.f64 N) (-.f64 (log.f64 (-.f64 (.f64 N N) #s(literal 1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (.f64 (+.f64 (log.f64 N) (log.f64 (/.f64 (-.f64 (.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (.f64 #s(approx (+ (log N) (log (- N -1))) (-.f64 (+.f64 (+.f64 (log.f64 (.f64 N N)) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 N N) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) #s(approx (+ (log N) (log (- N -1))) (-.f64 (+.f64 (+.f64 (log.f64 (.f64 N N)) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 N N) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
(-.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (.f64 (log.f64 N) (/.f64 (log.f64 N) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (neg.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(/.f64 (.f64 (+.f64 (log.f64 N) (-.f64 #s(approx (log (- ( N N) 1)) (-.f64 (.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N))) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (log.f64 (-.f64 N #s(literal 1 binary64))))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (log1p.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))))))
(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (-.f64 (log.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))))))
(/.f64 (.f64 (+.f64 (log.f64 N) (-.f64 (log.f64 (-.f64 (.f64 N N) #s(literal 1 binary64))) (-.f64 (log.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal 1 binary64))) (log.f64 (fma.f64 N N (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 1 binary64)))))))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (/.f64 (-.f64 (.f64 (log.f64 N) (log.f64 N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))) (-.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (-.f64 (log.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64))) (log.f64 (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))))))))
(-.f64 (/.f64 (.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64))) (log.f64 (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (log.f64 (/.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (log.f64 (/.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))) (.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (log.f64 N)))
(/.f64 #s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) #s(literal -2/3 binary64) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N)) (/.f64 (neg.f64 (log.f64 N)) N)) (/.f64 #s(literal 1 binary64) N)) (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 N)) (.f64 (.f64 N N) N)))) (log.f64 (.f64 N N))) (/.f64 #s(literal 1 binary64) (.f64 N N))) N)) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (.f64 (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (neg.f64 (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (-.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) #s(literal 2 binary64))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))

Outputs
(-.f64 (+.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (log.f64 N)) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))) N))

Outputs

(-.f64 (+.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (log.f64 N)) (log.f64 N))

#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))

Calls

2 calls:

17.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
14.0ms	N

Results

Accuracy	Segments	Branch
99.2%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
99.2%	2	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes12.0ms (0.3%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Counts

24 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #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)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(approx (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (- (log (- N -1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- 1/3 (/ 1/4 N)) #s(literal 1/3 binary64)) N)) N)) N))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(approx (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) (*.f64 N N)))))
#s(approx (- (log (- N -1)) (log N)) (/.f64 (-.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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (/.f64 (-.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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N))
(-.f64 (log.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))) N))

Outputs
(-.f64 (log.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))) N))

Outputs

(-.f64 (log.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)) (log.f64 N))

#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))

Calls

2 calls:

6.0ms	N
5.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.2%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
99.2%	2	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes11.0ms (0.3%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Counts

23 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #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)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(approx (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (- (log (- N -1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- 1/3 (/ 1/4 N)) #s(literal 1/3 binary64)) N)) N)) N))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(approx (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) (*.f64 N N)))))
#s(approx (- (log (- N -1)) (log N)) (/.f64 (-.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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (/.f64 (-.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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N))
(-.f64 (log.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ 1/4 (* (* N N) N))) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N N)) N)) N))

Outputs

(-.f64 (log.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)) (log.f64 N))

#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N))

Calls

2 calls:

6.0ms	N
4.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.2%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
99.2%	2	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes15.0ms (0.4%)

Memory

-33.8MiB live, 11.7MiB allocated; 6ms collecting garbage

Counts

17 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #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)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(approx (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (- (log (- N -1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- 1/3 (/ 1/4 N)) #s(literal 1/3 binary64)) N)) N)) N))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(approx (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) (*.f64 N N)))))
#s(approx (- (log (- N -1)) (log N)) (/.f64 (-.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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (/.f64 (-.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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N))

Outputs

(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))

#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N))

Calls

2 calls:

9.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
5.0ms	N

Results

Accuracy	Segments	Branch
99.2%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
99.2%	2	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes8.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #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)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(approx (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (- (log (- N -1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- 1/3 (/ 1/4 N)) #s(literal 1/3 binary64)) N)) N)) N))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(approx (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) (*.f64 N N)))))
#s(approx (- (log (- N -1)) (log N)) (/.f64 (-.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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))

Outputs

(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))

#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))

Calls

2 calls:

4.0ms	N
3.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
98.6%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
98.6%	2	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes6.0ms (0.2%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (- N -1)) (log N)) #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)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(approx (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (- (log (- N -1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- 1/3 (/ 1/4 N)) #s(literal 1/3 binary64)) N)) N)) N))

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))

Calls

2 calls:

3.0ms	N
2.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
95.5%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
95.5%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (- N -1)) (log N)) #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)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(approx (/ (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (- (log (- N -1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.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:

3.0ms	N
2.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
92.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
92.6%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

#s(approx (- (log (- N -1)) (log N)) #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:

1.0ms	N
1.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
92.3%	1	`N`
92.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.1b remaining (-1.5%)

Threshold costs -0.1b (-1.5%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (- N -1)) (log N)) #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(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

Accuracy	Segments	Branch
84.8%	1	`N`
84.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 7 to 7 computations (0% saved)

bsearch3.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	1085.2380260784778	1303.5595258713129

Samples

1.0ms

32×

valid

Compiler

Compiled 70 to 70 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-log: 0.0ms (0% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-log1p: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1085.2380260784778	1303.5595258713129

Compiler

Compiled 68 to 70 computations (-2.9% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1085.2380260784778	1303.5595258713129

Compiler

Compiled 64 to 66 computations (-3.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1085.2380260784778	1303.5595258713129

Compiler

Compiled 58 to 60 computations (-3.4% saved)

bsearch13.0ms (0.4%)

Memory

-39.8MiB live, 6.0MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2845.078571284827	5178.293861737515

Samples

2.0ms	48×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 94 to 100 computations (-6.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-log: 1.0ms (40% of total)

ival-log1p: 1.0ms (40% of total)

adjust: 0.0ms (0% of total)

ival-sub!: 0.0ms (0% of total)

derivations263.0ms (7.4%)

Memory

17.5MiB live, 114.0MiB allocated; 19ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 102 to 69 computations (32.4% saved)

preprocess77.0ms (2.2%)

Memory: 4.4MiB live, 141.2MiB allocated; 12ms collecting garbage
Compiler: Compiled 142 to 103 computations (27.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (31.3%)

preprocess85.0ms (2.4%)

series51.0ms (1.4%)

rewrite240.0ms (6.8%)

eval7.0ms (0.2%)

prune8.0ms (0.2%)

series47.0ms (1.3%)

rewrite191.0ms (5.4%)

eval51.0ms (1.4%)

prune32.0ms (0.9%)

series42.0ms (1.2%)

rewrite215.0ms (6.1%)

eval543.0ms (15.3%)

prune42.0ms (1.2%)

series47.0ms (1.3%)

rewrite255.0ms (7.2%)

eval71.0ms (2%)

prune47.0ms (1.3%)

regimes35.0ms (1%)

regimes12.0ms (0.3%)

regimes11.0ms (0.3%)

regimes15.0ms (0.4%)

regimes8.0ms (0.2%)

regimes6.0ms (0.2%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch3.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.4%)

derivations263.0ms (7.4%)

preprocess77.0ms (2.2%)

end0.0ms (0%)

Profiling