2log (problem 3.3.6)

Time bar (total: 3.7s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%3.2%96.8%0%0%0%0
100%3.2%0%96.8%0%0%0%1
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.2s (32.6%)

Memory
1.2MiB live, 902.9MiB allocated; 258ms collecting garbage
Samples
976.0ms7 498×1valid
34.0ms758×0valid
Precisions
Click to see histograms. Total time spent on operations: 749.0ms
ival-log1p: 286.0ms (38.2% of total)
ival-log: 282.0ms (37.6% of total)
adjust: 141.0ms (18.8% of total)
ival-sub!: 40.0ms (5.3% of total)
Bogosity

preprocess78.0ms (2.1%)

Memory
-29.0MiB live, 15.3MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01225
12423
23723
36923
414123
541523
6275823
7735323
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶24.4%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 12 to 12 computations (0% saved)

series54.0ms (1.4%)

Memory
8.3MiB live, 66.1MiB allocated; 8ms collecting garbage
Counts
6 → 31
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(log.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(log.f64 N)
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (+ N 1)) #s(hole binary64 N))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (+ N 1)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
Calls

3 calls:

TimeVariablePointExpression
25.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
22.0ms
N
@0
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
6.0ms
N
@inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

rewrite206.0ms (5.5%)

Memory
25.7MiB live, 162.3MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126516
0131464
1764433
07817374
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)

prune21.0ms (0.6%)

Memory
-48.1MiB live, 10.1MiB allocated; 25ms collecting garbage
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New661177
Fresh000
Picked101
Done000
Total671178
Accuracy
99.3%
Counts
78 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.3%
(/.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))))))
▶24.4%
(/.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)))))
24.2%
(-.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)))))))
24.2%
(-.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))))))
▶24.4%
(-.f64 (log1p.f64 N) (log.f64 N))
24.4%
(-.f64 (log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))) (log.f64 N))
24.4%
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
▶96.4%
#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))
▶94.9%
#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))
92.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶84.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Compiler

Compiled 332 to 242 computations (27.1% saved)

series29.0ms (0.8%)

Memory
30.2MiB live, 30.2MiB allocated; 0ms collecting garbage
Counts
31 → 172
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 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) 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))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(-.f64 #s(literal 1 binary64) (/.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 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))
(/.f64 #s(literal 1/3 binary64) N)
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 N)
(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 (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 (-.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))
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 (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (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 (- (log (+ 1 N)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (+ 1 N)) #s(hole binary64 N))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (/ (* (+ (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 -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 -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)) (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 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 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 (/ 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 (/ 1/4 N)) N)) N)) #s(hole binary64 1))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 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 (/ 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 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 1/2))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (- 1/2 (* 1/3 (/ 1 N)))))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N)))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 1/3))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (- 1/3 (* 1/4 (/ 1 N)))))
#s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 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)) #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 (+ 1 N)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (+ 1 N)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ 1 N)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(hole binary64 (/ 1 N)))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) #s(hole binary64 (* -2 (/ (log (/ 1 N)) N))))
#s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) #s(hole binary64 (/ (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (/ (log (/ 1 N)) N))) N)))
#s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) #s(hole binary64 (/ (- (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N)))) (/ 1 (pow N 2))) N)))
#s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) #s(hole binary64 (/ (- (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 N) (+ (* 11/12 (/ 1 (pow N 3))) (/ (log (/ 1 N)) N)))))) (/ 1 (pow N 2))) N)))
#s(approx (+ (log N) (log (- N -1))) #s(hole binary64 (* -2 (log (/ 1 N)))))
#s(approx (+ (log N) (log (- N -1))) #s(hole binary64 (+ (* -2 (log (/ 1 N))) (/ 1 N))))
#s(approx (+ (log N) (log (- N -1))) #s(hole binary64 (- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (+ (log N) (log (- N -1))) #s(hole binary64 (- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#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 -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)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
#s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- 1 (/ (- 1/2 (/ 1/3 N)) N)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) #s(hole binary64 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) N)))
#s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) #s(hole binary64 (* -1 (/ (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))) N))))
#s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) #s(hole binary64 (* -1 (/ (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* -1/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)) (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N))) N))))
#s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) #s(hole binary64 (* -1 (/ (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/4 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)) (* -1/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N)) (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N))) N))))
#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 -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 -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))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
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 N) (- (log (+ N 1)) (log N)) (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ (- 1/2 (/ 1/3 N)) N) (- 1/2 (/ 1/3 N)) (/ 1/3 N) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log 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 -1)) (- N -1) -1 (- (log (- N -1)) (log N)))
9.0ms
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 N) (- (log (+ N 1)) (log N)) (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ (- 1/2 (/ 1/3 N)) N) (- 1/2 (/ 1/3 N)) (/ 1/3 N) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log 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 -1)) (- N -1) -1 (- (log (- N -1)) (log N)))
9.0ms
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 N) (- (log (+ N 1)) (log N)) (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/ (- 1/2 (/ 1/3 N)) N) (- 1/2 (/ 1/3 N)) (/ 1/3 N) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log 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 -1)) (- N -1) -1 (- (log (- N -1)) (log N)))

rewrite187.0ms (5%)

Memory
-10.9MiB live, 119.6MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04724037
05123473
125613438
081563341
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
203 → 407
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 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) 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))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(-.f64 #s(literal 1 binary64) (/.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 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))
(/.f64 #s(literal 1/3 binary64) N)
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 N)
(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 (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 (-.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))
#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 (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (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 (- (log (+ 1 N)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (+ 1 N)) #s(hole binary64 N))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (/ (* (+ (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 -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 -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)) (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 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 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 (/ 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 (/ 1/4 N)) N)) N)) #s(hole binary64 1))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 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 (/ 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 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 1/2))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (- 1/2 (* 1/3 (/ 1 N)))))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N)))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 1/3))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (- 1/3 (* 1/4 (/ 1 N)))))
#s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 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)) #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 (+ 1 N)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (+ 1 N)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ 1 N)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(hole binary64 (/ 1 N)))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) #s(hole binary64 (* -2 (/ (log (/ 1 N)) N))))
#s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) #s(hole binary64 (/ (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (/ (log (/ 1 N)) N))) N)))
#s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) #s(hole binary64 (/ (- (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N)))) (/ 1 (pow N 2))) N)))
#s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) #s(hole binary64 (/ (- (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 N) (+ (* 11/12 (/ 1 (pow N 3))) (/ (log (/ 1 N)) N)))))) (/ 1 (pow N 2))) N)))
#s(approx (+ (log N) (log (- N -1))) #s(hole binary64 (* -2 (log (/ 1 N)))))
#s(approx (+ (log N) (log (- N -1))) #s(hole binary64 (+ (* -2 (log (/ 1 N))) (/ 1 N))))
#s(approx (+ (log N) (log (- N -1))) #s(hole binary64 (- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (+ (log N) (log (- N -1))) #s(hole binary64 (- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#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 -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)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
#s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- 1 (/ (- 1/2 (/ 1/3 N)) N)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (- 1/2 (/ 1/3 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) #s(hole binary64 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) N)))
#s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) #s(hole binary64 (* -1 (/ (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))) N))))
#s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) #s(hole binary64 (* -1 (/ (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* -1/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)) (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N))) N))))
#s(approx (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) #s(hole binary64 (* -1 (/ (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/4 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)) (* -1/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N)) (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N))) N))))
#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 -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 -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))))
Outputs
#s(approx (- (log (+ 1 N)) (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 (neg.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 (neg.f64 N)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) N) (*.f64 (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 (neg.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 (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 #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 (neg.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)))) (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))))
(/.f64 (neg.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)))) (neg.f64 (-.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 (neg.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)))) (neg.f64 (+.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 (neg.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)))) (neg.f64 (+.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) (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 (*.f64 #s(literal 2 binary64) (neg.f64 N)) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (*.f64 #s(literal 2 binary64) (neg.f64 N)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 #s(literal 2 binary64) N))
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) #s(literal 2 binary64) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) N (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (*.f64 #s(literal 2 binary64) 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 (/.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 (/.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))
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#s(literal 1/2 binary64)
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(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
N
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(/.f64 #s(literal -1 binary64) (neg.f64 N))
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#s(approx (+ (log N) (log (- N -1))) (+.f64 (log.f64 (*.f64 N N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
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#s(approx (/ (- 1/3 (/ 1/4 N)) N) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))
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#s(approx (- (log (+ 1 N)) (log N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))

eval62.0ms (1.7%)

Memory
2.2MiB live, 57.7MiB allocated; 14ms collecting garbage
Compiler

Compiled 5 356 to 1 882 computations (64.9% saved)

prune51.0ms (1.3%)

Memory
-16.1MiB live, 31.6MiB allocated; 2ms collecting garbage
Pruning

35 alts after pruning (30 fresh and 5 done)

PrunedKeptTotal
New41526441
Fresh246
Picked055
Done000
Total41735452
Accuracy
99.5%
Counts
452 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.3%
(/.f64 (/.f64 (*.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))) (-.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 (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.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 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
24.2%
(/.f64 (/.f64 (*.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))) (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))) (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 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
24.3%
(/.f64 (/.f64 (*.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 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))) (*.f64 (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) (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 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
▶24.3%
(/.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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
24.3%
(/.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))))))
24.3%
(/.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)))
22.2%
(/.f64 (*.f64 (-.f64 (/.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 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
22.2%
(/.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 (-.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))))))
22.2%
(/.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 (/.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)))))))
24.4%
(/.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 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))
▶24.4%
(/.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 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))))))
✓24.4%
(/.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)))))
21.8%
(/.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))) #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)))))
21.8%
(/.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)))))
96.1%
(/.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) (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 (*.f64 N N) N)) #s(literal 1/2 binary64) (+.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)))) (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)))))
24.2%
(-.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)))))))
24.2%
(-.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))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))
24.4%
(-.f64 (log1p.f64 N) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal -1 binary64))))
✓24.4%
(-.f64 (log1p.f64 N) (log.f64 N))
24.4%
(-.f64 (log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))) (log.f64 N))
24.4%
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
94.9%
#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))
▶92.4%
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶96.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 #s(literal 2 binary64) N)) N))
▶94.6%
#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 #s(literal 1/3 binary64) N)) N))) (*.f64 N N)))
✓96.4%
#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))
✓94.9%
#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))
84.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)))) N))
96.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 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))
94.8%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
✓84.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
96.4%
#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)))
94.8%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) N)))
95.8%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 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)))))
94.5%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
Compiler

Compiled 1 574 to 1 135 computations (27.9% saved)

series81.0ms (2.2%)

Memory
5.1MiB live, 50.1MiB allocated; 6ms collecting garbage
Counts
51 → 315
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 #s(literal 2 binary64) N)) N))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 #s(literal 2 binary64) N)) N)
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 #s(literal 2 binary64) N))
(-.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))
(*.f64 #s(literal 2 binary64) N)
#s(literal 2 binary64)
N
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 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))
#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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
#s(literal 1 binary64)
(/.f64 #s(literal 1/2 binary64) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) N) (*.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) (*.f64 N N)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) N) (*.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) (*.f64 N N))
(-.f64 (*.f64 #s(literal 1 binary64) N) (*.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))
(*.f64 #s(literal 1 binary64) N)
(*.f64 N (/.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 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))
(/.f64 #s(literal 1/3 binary64) 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 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.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 (log.f64 N) (log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))))
(log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #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 N N) (-.f64 N #s(literal 1 binary64)))
(-.f64 N #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
(pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.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))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))
(fma.f64 (log.f64 N) (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))
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 (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) #s(hole binary64 (/ (- (* 2/3 N) 1/2) (pow N 2))))
#s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) #s(hole binary64 (/ (- (* N (+ 2/3 (* -1 N))) 1/2) (pow N 2))))
#s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) #s(hole binary64 (/ (- (* N (+ 2/3 (* N (- (* 2 N) 1)))) 1/2) (pow N 2))))
#s(approx (* 2 N) #s(hole binary64 (* 2 N)))
#s(approx N #s(hole binary64 N))
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Calls

3 calls:

TimeVariablePointExpression
42.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) N) (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N) 2 N (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) 1 (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (* N N)) (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N)) (/ (- 1/2 (/ 1/3 N)) N) (- 1/2 (/ 1/3 N)) (/ 1/3 N) (* N N) (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- (/ (* N N) (- N 1)) (/ 1 (- 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 N) (log (- (/ (* N N) (- N 1)) (/ 1 (- N 1))))) (log (- (/ (* N N) (- N 1)) (/ 1 (- N 1)))) (- (/ (* N N) (- N 1)) (/ 1 (- N 1))) (/ (* N N) (- N 1)) (- N 1) (/ 1 (- N 1)) (/ (- (pow (log (- N -1)) 3) (pow (log N) 3)) (+ (* (log (- N -1)) (log (- N -1))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N))))) (- (pow (log (- N -1)) 3) (pow (log N) 3)) (pow (log (- N -1)) 3) 3 (pow (log N) 3) (+ (* (log (- N -1)) (log (- N -1))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N)))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N))) (* (log (- N -1)) (log N)))
19.0ms
N
@inf
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12.0ms
N
@0
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rewrite223.0ms (5.9%)

Memory
46.1MiB live, 277.0MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129514993
0138311101
0850810229
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
366 → 527
Calls
Call 1
Inputs
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#s(approx (pow (log N) 3) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))
#s(approx (+ (* (log (- N -1)) (log (- N -1))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N)))) #s(hole binary64 (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
#s(approx (+ (* (log (- N -1)) (log (- N -1))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N)))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))
#s(approx (+ (* (log (- N -1)) (log (- N -1))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N)))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) N)))) N)) (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))
#s(approx (+ (* (log (- N -1)) (log (- N -1))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N)))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (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))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)))) N)) (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))
#s(approx (+ (* (log N) (log N)) (* (log (- N -1)) (log N))) #s(hole binary64 (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
#s(approx (+ (* (log N) (log N)) (* (log (- N -1)) (log N))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 N)) N)) (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (/ (log -1) N)))))
#s(approx (+ (* (log N) (log N)) (* (log (- N -1)) (log N))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))) N)) (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))
#s(approx (+ (* (log N) (log N)) (* (log (- N -1)) (log N))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))) N))) N)) (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))
#s(approx (* (log (- N -1)) (log N)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
#s(approx (* (log (- N -1)) (log N)) #s(hole binary64 (+ (* -1 (/ (log (/ -1 N)) N)) (+ (/ (log -1) N) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))
#s(approx (* (log (- N -1)) (log N)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
#s(approx (* (log (- N -1)) (log N)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
Outputs
#s(approx (- (log (- N -1)) (log N)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 (+.f64 N N) N)))
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(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 (+.f64 N N) N))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) #s(literal 2 binary64)) N)
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(-.f64 (/.f64 (+.f64 N N) (+.f64 N N)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (+.f64 N N)))
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(fma.f64 #s(literal 2 binary64) N (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))
(-.f64 (+.f64 N N) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))
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(*.f64 #s(literal 2 binary64) N)
(+.f64 N N)
#s(literal 2 binary64)
N
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(-.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)))
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#s(literal 1/2 binary64)
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#s(literal 1/3 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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- (/ (* N N) (- N 1)) (/ 1 (- N 1)))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
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#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal -1/2 binary64) (neg.f64 N))
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#s(approx (- (log (- N -1)) (log N)) (/.f64 (-.f64 N (*.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))) (*.f64 N N)))
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N
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#s(approx (pow (log N) 3) (pow.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)))
#s(approx (+ (* (log (- N -1)) (log (- N -1))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N)))) (*.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))
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#s(approx (* (log (- N -1)) (log N)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64)))) N)) N)) (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))))) N)) (pow.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))

eval93.0ms (2.5%)

Memory
-11.8MiB live, 134.4MiB allocated; 13ms collecting garbage
Compiler

Compiled 10 922 to 3 151 computations (71.1% saved)

prune77.0ms (2%)

Memory
-2.9MiB live, 94.4MiB allocated; 26ms collecting garbage
Pruning

49 alts after pruning (41 fresh and 8 done)

PrunedKeptTotal
New61124635
Fresh81725
Picked235
Done055
Total62149670
Accuracy
99.5%
Counts
670 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.3%
(/.f64 (/.f64 (*.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 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))) (*.f64 (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) (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 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
✓24.3%
(/.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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
21.7%
(/.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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 #s(approx (log (- (/ (* N N) (- N 1)) (/ 1 (- N 1)))) (-.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 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)))) (log.f64 N)))))
22.3%
(/.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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log.f64 N) (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 N) (log.f64 N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))))
24.2%
(/.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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (*.f64 (log.f64 N) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
21.6%
(/.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))) #s(approx (+ (* (log (- N -1)) (log (- N -1))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N)))) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 N)) N) (+.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 N)) (*.f64 (*.f64 N N) N)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 (log.f64 N)) (*.f64 (*.f64 N N) N)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (fma.f64 #s(literal 2 binary64) (*.f64 (log.f64 N) (log.f64 N)) (+.f64 (fma.f64 (log.f64 N) (log.f64 N) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))) (/.f64 #s(literal 1 binary64) (*.f64 N N))))))) (/.f64 (neg.f64 (neg.f64 (log.f64 N))) N))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))))
▶24.6%
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.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))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
24.8%
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (pow.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))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
24.3%
(/.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)))
25.6%
(/.f64 (-.f64 (exp.f64 (*.f64 (log.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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
22.2%
(/.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 (-.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))))))
22.2%
(/.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 (/.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)))))))
24.4%
(/.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 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))
✓24.4%
(/.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 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))))))
21.6%
(/.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 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) #s(approx (/ 1 (- N 1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N))))))
21.9%
(/.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 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) #s(approx (/ 1 (- N 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) N)))))))
21.5%
(/.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 #s(approx (/ (* N N) (- N 1)) (*.f64 (neg.f64 N) (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) N)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))))))
✓24.4%
(/.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)))))
21.8%
(/.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))) #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)))))
24.4%
(/.f64 (*.f64 (+.f64 (log.f64 N) (log.f64 #s(approx (- (/ (* N N) (- N 1)) (/ 1 (- N 1))) (*.f64 N (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))))))
▶21.8%
(/.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)))))
96.0%
(/.f64 #s(approx (- (pow (log (- N -1)) 3) (pow (log N) 3)) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 N)) N) (fma.f64 #s(literal -4/3 binary64) (/.f64 (neg.f64 (log.f64 N)) (*.f64 (*.f64 N N) N)) (+.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)) (*.f64 (*.f64 N N) N)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) N) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (*.f64 N N) N)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 N N)) (fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (fma.f64 #s(literal 2 binary64) (*.f64 (log.f64 N) (log.f64 N)) (fma.f64 (log.f64 N) (log.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 N N))))))))) (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 N)) (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64))) (*.f64 N N)))) (neg.f64 (*.f64 (neg.f64 (log.f64 N)) (/.f64 (+.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)) N)))) (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 N)) (fma.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 N)) #s(literal 11/12 binary64))) (*.f64 (*.f64 N N) N)))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) N)) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
96.1%
(/.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) (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 (*.f64 N N) N)) #s(literal 1/2 binary64) (+.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)))) (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)))))
24.2%
(-.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)))))))
24.2%
(-.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))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))
24.4%
(-.f64 (log1p.f64 N) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal -1 binary64))))
✓24.4%
(-.f64 (log1p.f64 N) (log.f64 N))
24.4%
(-.f64 (log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))) (log.f64 N))
24.4%
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
94.9%
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- (/ (* N N) (- N 1)) (/ 1 (- 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))
✓92.4%
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
92.4%
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
92.2%
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
96.1%
#s(approx (- (log (- N -1)) (log N)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 (+.f64 N N) N)))
96.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (/.f64 (fma.f64 N (fma.f64 N (fma.f64 #s(literal 2 binary64) N #s(literal -1 binary64)) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (*.f64 N N))) (*.f64 #s(literal 2 binary64) N)) N))
▶96.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (*.f64 (neg.f64 N) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N)) #s(literal 1 binary64)) N)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) N)) N))
94.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) N) #s(approx (* N (/ (- 1/2 (/ 1/3 N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)))) (*.f64 N N)))
✓96.4%
#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))
✓94.9%
#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))
84.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)))) N))
96.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) (/.f64 (fma.f64 N (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 (*.f64 N N) N))) N))
94.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (/.f64 (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) N)) (*.f64 N N)))
▶84.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) N) (*.f64 N N)))
94.8%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
✓84.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
96.4%
#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)))
▶94.8%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) N)))
95.8%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) N) (/.f64 (fma.f64 N (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 (*.f64 N N) (*.f64 N N)))))
94.5%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (* N N)) (/.f64 (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
Compiler

Compiled 2 580 to 1 940 computations (24.8% saved)

series133.0ms (3.6%)

Memory
7.4MiB live, 241.4MiB allocated; 23ms collecting garbage
Counts
58 → 324
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (*.f64 (neg.f64 N) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N)) #s(literal 1 binary64)) N)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) N)) N))
(/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (*.f64 (neg.f64 N) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N)) #s(literal 1 binary64)) N)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) N)) N)
(/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (*.f64 (neg.f64 N) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N)) #s(literal 1 binary64)) N)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) N))
#s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (*.f64 (neg.f64 N) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N)) #s(literal 1 binary64)) N)) #s(literal 2 binary64))))
(*.f64 (neg.f64 N) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N)) #s(literal 1 binary64)) N)) #s(literal 2 binary64)))
(neg.f64 N)
N
(-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N)) #s(literal 1 binary64)) N)) #s(literal 2 binary64))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N)) #s(literal 1 binary64)) N))
(/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N)) #s(literal 1 binary64)) N)
(-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N)) #s(literal 1 binary64))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64))
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) N) (*.f64 N N)))
(/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) N) (*.f64 N N))
#s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) 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 #s(literal 1/3 binary64) N)) N) N)))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) N))
(/.f64 #s(literal 1 binary64) N)
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) N)
(/.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))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 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 #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)))
#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 (+.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 N)) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 N N) N)))
(+.f64 (log.f64 (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))
(log.f64 (*.f64 N N))
(/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 N N) N))
(*.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))
(log.f64 (-.f64 N #s(literal -1 binary64)))
(-.f64 N #s(literal -1 binary64))
#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)) (exp.f64 (*.f64 (log.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))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64))))
(pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))
#s(literal 3 binary64)
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64)))
(*.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64))
(log.f64 (log.f64 N))
(fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))
(fma.f64 (log.f64 N) (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))
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 (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) #s(hole binary64 (/ (- (* 2/3 N) 1/2) (pow N 2))))
#s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) #s(hole binary64 (/ (- (* N (+ 2/3 (* -1 N))) 1/2) (pow N 2))))
#s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) #s(hole binary64 (/ (- (* N (+ 2/3 (* N (- (* 2 N) 1)))) 1/2) (pow N 2))))
#s(approx (* (neg N) (- (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) 2)) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (* (neg N) (- (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) 2)) #s(hole binary64 (/ (- (* 2/3 N) 1/2) (pow N 2))))
#s(approx (* (neg N) (- (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) 2)) #s(hole binary64 (/ (- (* N (+ 2/3 (* -1 N))) 1/2) (pow N 2))))
#s(approx (* (neg N) (- (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) 2)) #s(hole binary64 (/ (- (* N (+ 2/3 (* N (- (* 2 N) 1)))) 1/2) (pow N 2))))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) 2) #s(hole binary64 (/ 1/2 (pow N 3))))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) 2) #s(hole binary64 (/ (+ 1/2 (* -2/3 N)) (pow N 3))))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) 2) #s(hole binary64 (/ (+ 1/2 (* N (- N 2/3))) (pow N 3))))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) 2) #s(hole binary64 (/ (+ 1/2 (* N (- (* N (+ 1 (* -2 N))) 2/3))) (pow N 3))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) #s(hole binary64 (/ 1/2 (pow N 3))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) #s(hole binary64 (/ (+ 1/2 (* -2/3 N)) (pow N 3))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) #s(hole binary64 (/ (+ 1/2 (* N (- N 2/3))) (pow N 3))))
#s(approx (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N) #s(hole binary64 (/ -1/2 (pow N 3))))
#s(approx (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N) #s(hole binary64 (/ (- (* 2/3 N) 1/2) (pow N 3))))
#s(approx (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N) #s(hole binary64 (/ (- (* N (+ 2/3 (* -1 N))) 1/2) (pow N 3))))
#s(approx (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) #s(hole binary64 (/ (- (* 2/3 N) 1/2) (pow N 2))))
#s(approx (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) #s(hole binary64 (/ (- (* N (+ 2/3 (* -1 N))) 1/2) (pow N 2))))
#s(approx (neg (/ (- (/ 1/2 N) 2/3) N)) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (neg (/ (- (/ 1/2 N) 2/3) N)) #s(hole binary64 (/ (- (* 2/3 N) 1/2) (pow N 2))))
#s(approx (/ (- (/ 1/2 N) 2/3) N) #s(hole binary64 (/ 1/2 (pow N 2))))
#s(approx (/ (- (/ 1/2 N) 2/3) N) #s(hole binary64 (/ (+ 1/2 (* -2/3 N)) (pow N 2))))
#s(approx (- (/ 1/2 N) 2/3) #s(hole binary64 (/ 1/2 N)))
#s(approx (- (/ 1/2 N) 2/3) #s(hole binary64 (/ (+ 1/2 (* -2/3 N)) N)))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (* 2 N) #s(hole binary64 (* 2 N)))
#s(approx (/ (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (* N N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (* N N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (* N N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (- (/ 1 N) (/ (/ (- 1/2 (/ 1/3 N)) N) N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (- (/ 1 N) (/ (/ (- 1/2 (/ 1/3 N)) N) N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (- (/ 1 N) (/ (/ (- 1/2 (/ 1/3 N)) N) N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (/ (- 1/2 (/ 1/3 N)) N) N) #s(hole binary64 (/ -1/3 (pow N 3))))
#s(approx (/ (/ (- 1/2 (/ 1/3 N)) N) N) #s(hole binary64 (/ (- (* 1/2 N) 1/3) (pow N 3))))
#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 (/ (* (+ (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 N)) (/ 1 N)) (/ 1/3 (* (* N N) N))) (/ 1/2 (* N N))) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (- (+ (+ (log (* N N)) (/ 1 N)) (/ 1/3 (* (* N N) N))) (/ 1/2 (* N N))) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (- (+ (+ (log (* N N)) (/ 1 N)) (/ 1/3 (* (* N N) N))) (/ 1/2 (* N N))) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (- (+ (+ (log (* N N)) (/ 1 N)) (/ 1/3 (* (* N N) N))) (/ 1/2 (* N N))) #s(hole binary64 (/ (+ 1/3 (* N (- (* N (+ 1 (* 2 (* N (log N))))) 1/2))) (pow N 3))))
#s(approx (+ (+ (log (* N N)) (/ 1 N)) (/ 1/3 (* (* N N) N))) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (+ (+ (log (* N N)) (/ 1 N)) (/ 1/3 (* (* N N) N))) #s(hole binary64 (/ (+ 1/3 (pow N 2)) (pow N 3))))
#s(approx (+ (+ (log (* N N)) (/ 1 N)) (/ 1/3 (* (* N N) N))) #s(hole binary64 (/ (+ 1/3 (* (pow N 2) (+ 1 (* 2 (* N (log N)))))) (pow N 3))))
#s(approx (+ (log (* N N)) (/ 1 N)) #s(hole binary64 (/ 1 N)))
#s(approx (+ (log (* N N)) (/ 1 N)) #s(hole binary64 (/ (+ 1 (* 2 (* N (log N)))) N)))
#s(approx (log (* N N)) #s(hole binary64 (* 2 (log N))))
#s(approx (/ 1/3 (* (* N N) N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (/ 1/2 (* N N)) #s(hole binary64 (/ 1/2 (pow N 2))))
#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 (/ (- (pow (log (- N -1)) 3) (exp (* (log (log N)) 3))) (+ (* (log (- N -1)) (log (- N -1))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N))))) #s(hole binary64 (* -1 (log N))))
#s(approx (/ (- (pow (log (- N -1)) 3) (exp (* (log (log N)) 3))) (+ (* (log (- N -1)) (log (- N -1))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N))))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (/ (- (pow (log (- N -1)) 3) (exp (* (log (log N)) 3))) (+ (* (log (- N -1)) (log (- N -1))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N))))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))))
#s(approx (/ (- (pow (log (- N -1)) 3) (exp (* (log (log N)) 3))) (+ (* (log (- N -1)) (log (- N -1))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N))))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))) (log N))) (* -1 (/ (- (* 1/3 (log N)) 1) (log N)))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))))
#s(approx (- (pow (log (- N -1)) 3) (exp (* (log (log N)) 3))) #s(hole binary64 (* -1 (pow (log N) 3))))
#s(approx (- (pow (log (- N -1)) 3) (exp (* (log (log N)) 3))) #s(hole binary64 (- (pow N 3) (pow (log N) 3))))
#s(approx (- (pow (log (- N -1)) 3) (exp (* (log (log N)) 3))) #s(hole binary64 (- (* (pow N 3) (+ 1 (* -3/2 N))) (pow (log N) 3))))
#s(approx (- (pow (log (- N -1)) 3) (exp (* (log (log N)) 3))) #s(hole binary64 (- (* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2)))) (pow (log N) 3))))
#s(approx (pow (log (- N -1)) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (log (- N -1)) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* -3/2 N)))))
#s(approx (pow (log (- N -1)) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))))
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Calls

3 calls:

TimeVariablePointExpression
47.0ms
N
@inf
((- (log (+ N 1)) (log N)) (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) N) (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* (neg N) (- (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) 2)) (neg N) N (- (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) 2) (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N) (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) (neg (/ (- (/ 1/2 N) 2/3) N)) (/ (- (/ 1/2 N) 2/3) N) (- (/ 1/2 N) 2/3) (/ 1/2 N) 1/2 2/3 1 2 (* 2 N) (- (log (+ N 1)) (log N)) (/ (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (* N N)) (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (* N N) (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ (/ (- 1/2 (/ 1/3 N)) N) N)) (/ 1 N) (/ (/ (- 1/2 (/ 1/3 N)) N) N) (/ (- 1/2 (/ 1/3 N)) N) (- 1/2 (/ 1/3 N)) (/ 1/3 N) 1/3 (/ (* (+ (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 N)) (/ 1 N)) (/ 1/3 (* (* N N) N))) (/ 1/2 (* N N))) (+ (+ (log (* N N)) (/ 1 N)) (/ 1/3 (* (* N N) N))) (+ (log (* N N)) (/ 1 N)) (log (* N N)) (/ 1/3 (* (* N N) N)) (* (* N N) N) (/ 1/2 (* N N)) (- (log (- N -1)) (log N)) (log (- N -1)) (- N -1) -1 (log N) (+ (log N) (log (- N -1))) (/ (- (pow (log (- N -1)) 3) (exp (* (log (log N)) 3))) (+ (* (log (- N -1)) (log (- N -1))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N))))) (- (pow (log (- N -1)) 3) (exp (* (log (log N)) 3))) (pow (log (- N -1)) 3) 3 (exp (* (log (log N)) 3)) (* (log (log N)) 3) (log (log N)) (+ (* (log (- N -1)) (log (- N -1))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N)))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N))) (* (log (- N -1)) (log N)))
42.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) N) (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* (neg N) (- (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) 2)) (neg N) N (- (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) 2) (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N) (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) (neg (/ (- (/ 1/2 N) 2/3) N)) (/ (- (/ 1/2 N) 2/3) N) (- (/ 1/2 N) 2/3) (/ 1/2 N) 1/2 2/3 1 2 (* 2 N) (- (log (+ N 1)) (log N)) (/ (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (* N N)) (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (* N N) (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ (/ (- 1/2 (/ 1/3 N)) N) N)) (/ 1 N) (/ (/ (- 1/2 (/ 1/3 N)) N) N) (/ (- 1/2 (/ 1/3 N)) N) (- 1/2 (/ 1/3 N)) (/ 1/3 N) 1/3 (/ (* (+ (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 N)) (/ 1 N)) (/ 1/3 (* (* N N) N))) (/ 1/2 (* N N))) (+ (+ (log (* N N)) (/ 1 N)) (/ 1/3 (* (* N N) N))) (+ (log (* N N)) (/ 1 N)) (log (* N N)) (/ 1/3 (* (* N N) N)) (* (* N N) N) (/ 1/2 (* N N)) (- (log (- N -1)) (log N)) (log (- N -1)) (- N -1) -1 (log N) (+ (log N) (log (- N -1))) (/ (- (pow (log (- N -1)) 3) (exp (* (log (log N)) 3))) (+ (* (log (- N -1)) (log (- N -1))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N))))) (- (pow (log (- N -1)) 3) (exp (* (log (log N)) 3))) (pow (log (- N -1)) 3) 3 (exp (* (log (log N)) 3)) (* (log (log N)) 3) (log (log N)) (+ (* (log (- N -1)) (log (- N -1))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N)))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N))) (* (log (- N -1)) (log N)))
35.0ms
N
@0
((- (log (+ N 1)) (log N)) (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) N) (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* (neg N) (- (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) 2)) (neg N) N (- (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) 2) (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N) (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) (neg (/ (- (/ 1/2 N) 2/3) N)) (/ (- (/ 1/2 N) 2/3) N) (- (/ 1/2 N) 2/3) (/ 1/2 N) 1/2 2/3 1 2 (* 2 N) (- (log (+ N 1)) (log N)) (/ (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (* N N)) (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (* N N) (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ (/ (- 1/2 (/ 1/3 N)) N) N)) (/ 1 N) (/ (/ (- 1/2 (/ 1/3 N)) N) N) (/ (- 1/2 (/ 1/3 N)) N) (- 1/2 (/ 1/3 N)) (/ 1/3 N) 1/3 (/ (* (+ (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 N)) (/ 1 N)) (/ 1/3 (* (* N N) N))) (/ 1/2 (* N N))) (+ (+ (log (* N N)) (/ 1 N)) (/ 1/3 (* (* N N) N))) (+ (log (* N N)) (/ 1 N)) (log (* N N)) (/ 1/3 (* (* N N) N)) (* (* N N) N) (/ 1/2 (* N N)) (- (log (- N -1)) (log N)) (log (- N -1)) (- N -1) -1 (log N) (+ (log N) (log (- N -1))) (/ (- (pow (log (- N -1)) 3) (exp (* (log (log N)) 3))) (+ (* (log (- N -1)) (log (- N -1))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N))))) (- (pow (log (- N -1)) 3) (exp (* (log (log N)) 3))) (pow (log (- N -1)) 3) 3 (exp (* (log (log N)) 3)) (* (log (log N)) 3) (log (log N)) (+ (* (log (- N -1)) (log (- N -1))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N)))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N))) (* (log (- N -1)) (log N)))

rewrite237.0ms (6.3%)

Memory
-20.3MiB live, 310.4MiB allocated; 49ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125415174
0134911551
0840610753
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
382 → 562
Calls
Call 1
Inputs
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(neg.f64 N)
N
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#s(approx (+ (* (log (- N -1)) (log (- N -1))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N)))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (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))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)))) N)) (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))
#s(approx (+ (* (log N) (log N)) (* (log (- N -1)) (log N))) #s(hole binary64 (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
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#s(approx (+ (* (log N) (log N)) (* (log (- N -1)) (log N))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))) N)) (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))
#s(approx (+ (* (log N) (log N)) (* (log (- N -1)) (log N))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))) N))) N)) (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))
#s(approx (* (log (- N -1)) (log N)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
#s(approx (* (log (- N -1)) (log N)) #s(hole binary64 (+ (* -1 (/ (log (/ -1 N)) N)) (+ (/ (log -1) N) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))
#s(approx (* (log (- N -1)) (log N)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
#s(approx (* (log (- N -1)) (log N)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
Outputs
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#s(approx (* (log (- N -1)) (log N)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))) N) #s(literal 1/3 binary64) (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) N)) (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))))) N)) (pow.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))

eval122.0ms (3.2%)

Memory
-8.3MiB live, 185.7MiB allocated; 47ms collecting garbage
Compiler

Compiled 11 305 to 3 698 computations (67.3% saved)

prune59.0ms (1.6%)

Memory
12.6MiB live, 150.4MiB allocated; 12ms collecting garbage
Pruning

51 alts after pruning (42 fresh and 9 done)

PrunedKeptTotal
New67512687
Fresh63036
Picked415
Done088
Total68551736
Accuracy
99.5%
Counts
736 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.3%
(/.f64 (/.f64 (*.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 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))) (*.f64 (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) (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 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
✓24.3%
(/.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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
21.7%
(/.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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 #s(approx (log (- (/ (* N N) (- N 1)) (/ 1 (- N 1)))) (-.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 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)))) (log.f64 N)))))
22.3%
(/.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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log.f64 N) (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 N) (log.f64 N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))))
24.2%
(/.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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (*.f64 (log.f64 N) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
21.6%
(/.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))) #s(approx (+ (* (log (- N -1)) (log (- N -1))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N)))) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 N)) N) (+.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 N)) (*.f64 (*.f64 N N) N)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 (log.f64 N)) (*.f64 (*.f64 N N) N)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (fma.f64 #s(literal 2 binary64) (*.f64 (log.f64 N) (log.f64 N)) (+.f64 (fma.f64 (log.f64 N) (log.f64 N) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))) (/.f64 #s(literal 1 binary64) (*.f64 N N))))))) (/.f64 (neg.f64 (neg.f64 (log.f64 N))) N))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))))
24.6%
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.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 (log.f64 N) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
24.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3/2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3/2 binary64))) (exp.f64 (*.f64 (log.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))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
24.8%
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (pow.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))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
24.3%
(/.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)))
21.8%
(/.f64 (*.f64 (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) #s(approx (+ (log N) (log (- N -1))) (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (log.f64 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)))
22.2%
(/.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 (-.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))))))
22.2%
(/.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 (/.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)))))))
24.4%
(/.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 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))
✓24.4%
(/.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 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))))))
21.6%
(/.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 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) #s(approx (/ 1 (- N 1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N))))))
21.9%
(/.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 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) #s(approx (/ 1 (- N 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) N)))))))
21.5%
(/.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 #s(approx (/ (* N N) (- N 1)) (*.f64 (neg.f64 N) (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) N)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))))))
✓24.4%
(/.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)))))
21.8%
(/.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))) #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)))))
24.4%
(/.f64 (*.f64 (+.f64 (log.f64 N) (log.f64 #s(approx (- (/ (* N N) (- N 1)) (/ 1 (- N 1))) (*.f64 N (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))))))
24.4%
(/.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) #s(approx (log (- N -1)) (-.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 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))))))
21.8%
(/.f64 (*.f64 #s(approx (+ (log N) (log (- N -1))) #s(approx (- (+ (+ (log (* N N)) (/ 1 N)) (/ 1/3 (* (* N N) N))) (/ 1/2 (* N N))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 N N) (log.f64 N) #s(literal 1 binary64)) N #s(literal -1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N 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)))))
96.0%
(/.f64 #s(approx (- (pow (log (- N -1)) 3) (pow (log N) 3)) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 N)) N) (fma.f64 #s(literal -4/3 binary64) (/.f64 (neg.f64 (log.f64 N)) (*.f64 (*.f64 N N) N)) (+.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)) (*.f64 (*.f64 N N) N)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) N) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (*.f64 N N) N)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 N N)) (fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (fma.f64 #s(literal 2 binary64) (*.f64 (log.f64 N) (log.f64 N)) (fma.f64 (log.f64 N) (log.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 N N))))))))) (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 N)) (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64))) (*.f64 N N)))) (neg.f64 (*.f64 (neg.f64 (log.f64 N)) (/.f64 (+.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)) N)))) (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 N)) (fma.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 N)) #s(literal 11/12 binary64))) (*.f64 (*.f64 N N) N)))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) N)) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
96.1%
(/.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) (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 (*.f64 N N) N)) #s(literal 1/2 binary64) (+.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)))) (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)))))
24.2%
(-.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)))))))
24.2%
(-.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))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))
24.4%
(-.f64 (log1p.f64 N) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal -1 binary64))))
✓24.4%
(-.f64 (log1p.f64 N) (log.f64 N))
24.4%
(-.f64 (log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))) (log.f64 N))
24.4%
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
94.9%
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- (/ (* N N) (- N 1)) (/ 1 (- 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))
✓92.4%
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
92.2%
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
96.1%
#s(approx (- (log (- N -1)) (log N)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 (+.f64 N N) N)))
96.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal -1 binary64)) N #s(literal 2/3 binary64)) N #s(literal -1/2 binary64)) (*.f64 N N))) (*.f64 #s(literal 2 binary64) N)) N))
96.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (*.f64 (neg.f64 N) (-.f64 #s(approx (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N)) N)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) N)) N))
94.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) N) #s(approx (* N (/ (- 1/2 (/ 1/3 N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)))) (*.f64 N N)))
✓96.4%
#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))
✓94.9%
#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))
84.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)))) N))
96.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 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))
94.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
✓84.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) N) (*.f64 N N)))
94.8%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
✓84.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
96.4%
#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)))
94.8%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) (*.f64 N N))))
92.4%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(approx (/ (/ (- 1/2 (/ 1/3 N)) N) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
95.8%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 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)))))
94.5%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (* N N)) (/.f64 (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
Compiler

Compiled 2 718 to 1 580 computations (41.9% saved)

regimes41.0ms (1.1%)

Memory
19.0MiB live, 69.8MiB allocated; 9ms collecting garbage
Counts
74 → 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)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) N) (*.f64 N N)))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (/.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 N)) N) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N 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(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))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (* N N)) (/.f64 (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (/.f64 (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) N) #s(approx (* N (/ (- 1/2 (/ 1/3 N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)))) (*.f64 N N)))
(-.f64 (log1p.f64 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 #s(literal 1/3 binary64) N)) (*.f64 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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- (/ (* N N) (- N 1)) (/ 1 (- 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) N) (/.f64 (/.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)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) N) (*.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 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 (/ 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)) #s(approx (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) N) (/.f64 (fma.f64 N (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 (*.f64 N N) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 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 (/ 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 (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) (/.f64 (fma.f64 N (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 (*.f64 N N) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 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 (*.f64 #s(literal 2 binary64) (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 (+.f64 N N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 #s(literal 2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (/.f64 (fma.f64 N (fma.f64 N (fma.f64 #s(literal 2 binary64) N #s(literal -1 binary64)) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (*.f64 N N))) (*.f64 #s(literal 2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal -1 binary64)) N #s(literal 2/3 binary64)) N #s(literal -1/2 binary64)) (*.f64 N N))) (*.f64 #s(literal 2 binary64) N)) N))
(-.f64 (log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (*.f64 (neg.f64 N) (-.f64 #s(approx (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N)) N)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (*.f64 (neg.f64 N) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N)) #s(literal 1 binary64)) N)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) N)) N))
(-.f64 (log1p.f64 N) (/.f64 #s(literal 1 binary64) (pow.f64 (log.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) (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) (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 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))))))
(/.f64 (*.f64 #s(approx (+ (log N) (log (- N -1))) #s(approx (- (+ (+ (log (* N N)) (/ 1 N)) (/ 1/3 (* (* N N) N))) (/ 1/2 (* N N))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 N N) (log.f64 N) #s(literal 1 binary64)) N #s(literal -1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N 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 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) #s(approx (+ (log N) (log (- N -1))) (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (log.f64 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 (*.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 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) #s(approx (/ 1 (- N 1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N))))))
(/.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 (+.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 #s(literal 1 binary64) (pow.f64 (log.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) (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 (-.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))))
(/.f64 (*.f64 (+.f64 (log.f64 N) (log.f64 #s(approx (- (/ (* N N) (- N 1)) (/ 1 (- N 1))) (*.f64 N (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.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) (log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) #s(approx (/ 1 (- N 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) 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 #s(approx (/ (* N N) (- N 1)) (*.f64 (neg.f64 N) (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) N)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.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 (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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (*.f64 (log.f64 N) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.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 (log.f64 N) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(/.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) #s(approx (log (- N -1)) (-.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 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 (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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(/.f64 (-.f64 (exp.f64 (*.f64 (log.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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.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))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 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) (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 (*.f64 N N) N)) #s(literal 1/2 binary64) (+.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)))) (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 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (pow.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))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(/.f64 (*.f64 (-.f64 (/.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 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 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 (-.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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 #s(approx (log (- (/ (* N N) (- N 1)) (/ 1 (- N 1)))) (-.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 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)))) (log.f64 N)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3/2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3/2 binary64))) (exp.f64 (*.f64 (log.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))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(-.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 (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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log.f64 N) (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 N) (log.f64 N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))))
(/.f64 (/.f64 (*.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))) (-.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 (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.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 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (/.f64 (*.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 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))) (*.f64 (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) (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 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))) #s(approx (+ (* (log (- N -1)) (log (- N -1))) (+ (* (log N) (log N)) (* (log (- N -1)) (log N)))) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 N)) N) (+.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 N)) (*.f64 (*.f64 N N) N)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 (log.f64 N)) (*.f64 (*.f64 N N) N)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (fma.f64 #s(literal 2 binary64) (*.f64 (log.f64 N) (log.f64 N)) (+.f64 (fma.f64 (log.f64 N) (log.f64 N) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))) (/.f64 #s(literal 1 binary64) (*.f64 N N))))))) (/.f64 (neg.f64 (neg.f64 (log.f64 N))) N))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))))
(/.f64 (/.f64 (*.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))) (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))) (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 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 #s(approx (- (pow (log (- N -1)) 3) (pow (log N) 3)) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 N)) N) (fma.f64 #s(literal -4/3 binary64) (/.f64 (neg.f64 (log.f64 N)) (*.f64 (*.f64 N N) N)) (+.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)) (*.f64 (*.f64 N N) N)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) N) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (*.f64 N N) N)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 N N)) (fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (fma.f64 #s(literal 2 binary64) (*.f64 (log.f64 N) (log.f64 N)) (fma.f64 (log.f64 N) (log.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 N N))))))))) (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 N)) (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64))) (*.f64 N N)))) (neg.f64 (*.f64 (neg.f64 (log.f64 N)) (/.f64 (+.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)) N)))) (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 N)) (fma.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 N)) #s(literal 11/12 binary64))) (*.f64 (*.f64 N N) N)))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) N)) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
Outputs
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3/2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3/2 binary64))) (exp.f64 (*.f64 (log.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))) (fma.f64 (log.f64 N) (log.f64 N) (*.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:

23.0ms
N
14.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.3%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
99.3%2N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes61.0ms (1.6%)

Memory
-5.1MiB live, 41.8MiB allocated; 1ms collecting garbage
Counts
66 → 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)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) N) (*.f64 N N)))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (/.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 N)) N) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N 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(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))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (* N N)) (/.f64 (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (/.f64 (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) N) #s(approx (* N (/ (- 1/2 (/ 1/3 N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)))) (*.f64 N N)))
(-.f64 (log1p.f64 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 #s(literal 1/3 binary64) N)) (*.f64 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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- (/ (* N N) (- N 1)) (/ 1 (- 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) N) (/.f64 (/.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)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) N) (*.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 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 (/ 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)) #s(approx (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) N) (/.f64 (fma.f64 N (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 (*.f64 N N) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 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 (/ 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 (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) (/.f64 (fma.f64 N (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 (*.f64 N N) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 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 (*.f64 #s(literal 2 binary64) (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 (+.f64 N N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 #s(literal 2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (/.f64 (fma.f64 N (fma.f64 N (fma.f64 #s(literal 2 binary64) N #s(literal -1 binary64)) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (*.f64 N N))) (*.f64 #s(literal 2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal -1 binary64)) N #s(literal 2/3 binary64)) N #s(literal -1/2 binary64)) (*.f64 N N))) (*.f64 #s(literal 2 binary64) N)) N))
(-.f64 (log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (*.f64 (neg.f64 N) (-.f64 #s(approx (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N)) N)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (*.f64 (neg.f64 N) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N)) #s(literal 1 binary64)) N)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) N)) N))
(-.f64 (log1p.f64 N) (/.f64 #s(literal 1 binary64) (pow.f64 (log.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) (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) (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 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))))))
(/.f64 (*.f64 #s(approx (+ (log N) (log (- N -1))) #s(approx (- (+ (+ (log (* N N)) (/ 1 N)) (/ 1/3 (* (* N N) N))) (/ 1/2 (* N N))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 N N) (log.f64 N) #s(literal 1 binary64)) N #s(literal -1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N 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 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) #s(approx (+ (log N) (log (- N -1))) (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (log.f64 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 (*.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 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) #s(approx (/ 1 (- N 1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N))))))
(/.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 (+.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 #s(literal 1 binary64) (pow.f64 (log.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) (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 (-.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))))
(/.f64 (*.f64 (+.f64 (log.f64 N) (log.f64 #s(approx (- (/ (* N N) (- N 1)) (/ 1 (- N 1))) (*.f64 N (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.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) (log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) #s(approx (/ 1 (- N 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) 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 #s(approx (/ (* N N) (- N 1)) (*.f64 (neg.f64 N) (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) N)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.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 (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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (*.f64 (log.f64 N) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.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 (log.f64 N) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(/.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) #s(approx (log (- N -1)) (-.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 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 (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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(/.f64 (-.f64 (exp.f64 (*.f64 (log.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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.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))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 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) (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 (*.f64 N N) N)) #s(literal 1/2 binary64) (+.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)))) (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 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (pow.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))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(/.f64 (*.f64 (-.f64 (/.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 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 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 (-.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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 #s(approx (log (- (/ (* N N) (- N 1)) (/ 1 (- N 1)))) (-.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 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)))) (log.f64 N)))))
Outputs
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.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))) (fma.f64 (log.f64 N) (log.f64 N) (*.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:

45.0ms
N
12.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.2%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
99.2%2N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes53.0ms (1.4%)

Memory
-3.7MiB live, 42.8MiB allocated; 3ms collecting garbage
Counts
60 → 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)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) N) (*.f64 N N)))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (/.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 N)) N) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N 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(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))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (* N N)) (/.f64 (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (/.f64 (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) N) #s(approx (* N (/ (- 1/2 (/ 1/3 N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)))) (*.f64 N N)))
(-.f64 (log1p.f64 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 #s(literal 1/3 binary64) N)) (*.f64 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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- (/ (* N N) (- N 1)) (/ 1 (- 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) N) (/.f64 (/.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)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) N) (*.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 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 (/ 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)) #s(approx (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) N) (/.f64 (fma.f64 N (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 (*.f64 N N) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 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 (/ 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 (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) (/.f64 (fma.f64 N (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 (*.f64 N N) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 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 (*.f64 #s(literal 2 binary64) (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 (+.f64 N N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 #s(literal 2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (/.f64 (fma.f64 N (fma.f64 N (fma.f64 #s(literal 2 binary64) N #s(literal -1 binary64)) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (*.f64 N N))) (*.f64 #s(literal 2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal -1 binary64)) N #s(literal 2/3 binary64)) N #s(literal -1/2 binary64)) (*.f64 N N))) (*.f64 #s(literal 2 binary64) N)) N))
(-.f64 (log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (*.f64 (neg.f64 N) (-.f64 #s(approx (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N)) N)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (*.f64 (neg.f64 N) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N)) #s(literal 1 binary64)) N)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) N)) N))
(-.f64 (log1p.f64 N) (/.f64 #s(literal 1 binary64) (pow.f64 (log.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) (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) (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 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))))))
(/.f64 (*.f64 #s(approx (+ (log N) (log (- N -1))) #s(approx (- (+ (+ (log (* N N)) (/ 1 N)) (/ 1/3 (* (* N N) N))) (/ 1/2 (* N N))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 N N) (log.f64 N) #s(literal 1 binary64)) N #s(literal -1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N 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 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) #s(approx (+ (log N) (log (- N -1))) (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (log.f64 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 (*.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 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) #s(approx (/ 1 (- N 1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N))))))
(/.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 (+.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 #s(literal 1 binary64) (pow.f64 (log.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) (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 (-.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))))
(/.f64 (*.f64 (+.f64 (log.f64 N) (log.f64 #s(approx (- (/ (* N N) (- N 1)) (/ 1 (- N 1))) (*.f64 N (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.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) (log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) #s(approx (/ 1 (- N 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) 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 #s(approx (/ (* N N) (- N 1)) (*.f64 (neg.f64 N) (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) N)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.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 (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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (*.f64 (log.f64 N) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.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 (log.f64 N) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(/.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) #s(approx (log (- N -1)) (-.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 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 (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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(/.f64 (-.f64 (exp.f64 (*.f64 (log.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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
Outputs
(/.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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.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:

36.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
15.0ms
N
Results
AccuracySegmentsBranch
99.2%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
99.2%2N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes31.0ms (0.8%)

Memory
18.4MiB live, 62.6MiB allocated; 4ms collecting garbage
Counts
58 → 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)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) N) (*.f64 N N)))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (/.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 N)) N) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N 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(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))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (* N N)) (/.f64 (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (/.f64 (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) N) #s(approx (* N (/ (- 1/2 (/ 1/3 N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)))) (*.f64 N N)))
(-.f64 (log1p.f64 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 #s(literal 1/3 binary64) N)) (*.f64 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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- (/ (* N N) (- N 1)) (/ 1 (- 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) N) (/.f64 (/.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)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) N) (*.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 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 (/ 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)) #s(approx (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) N) (/.f64 (fma.f64 N (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 (*.f64 N N) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 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 (/ 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 (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) (/.f64 (fma.f64 N (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 (*.f64 N N) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 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 (*.f64 #s(literal 2 binary64) (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 (+.f64 N N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 #s(literal 2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (/.f64 (fma.f64 N (fma.f64 N (fma.f64 #s(literal 2 binary64) N #s(literal -1 binary64)) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (*.f64 N N))) (*.f64 #s(literal 2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal -1 binary64)) N #s(literal 2/3 binary64)) N #s(literal -1/2 binary64)) (*.f64 N N))) (*.f64 #s(literal 2 binary64) N)) N))
(-.f64 (log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (*.f64 (neg.f64 N) (-.f64 #s(approx (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N)) N)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (*.f64 (neg.f64 N) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N)) #s(literal 1 binary64)) N)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) N)) N))
(-.f64 (log1p.f64 N) (/.f64 #s(literal 1 binary64) (pow.f64 (log.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) (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) (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 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))))))
(/.f64 (*.f64 #s(approx (+ (log N) (log (- N -1))) #s(approx (- (+ (+ (log (* N N)) (/ 1 N)) (/ 1/3 (* (* N N) N))) (/ 1/2 (* N N))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 N N) (log.f64 N) #s(literal 1 binary64)) N #s(literal -1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N 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 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) #s(approx (+ (log N) (log (- N -1))) (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (log.f64 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 (*.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 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) #s(approx (/ 1 (- N 1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N))))))
(/.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 (+.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 #s(literal 1 binary64) (pow.f64 (log.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) (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 (-.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))))
(/.f64 (*.f64 (+.f64 (log.f64 N) (log.f64 #s(approx (- (/ (* N N) (- N 1)) (/ 1 (- N 1))) (*.f64 N (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.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) (log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) #s(approx (/ 1 (- N 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) 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 #s(approx (/ (* N N) (- N 1)) (*.f64 (neg.f64 N) (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) N)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.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 (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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (*.f64 (log.f64 N) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.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 (log.f64 N) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(/.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) #s(approx (log (- N -1)) (-.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 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))))))
Outputs
(/.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))))))
#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:

18.0ms
N
11.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.2%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
99.2%2N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes34.0ms (0.9%)

Memory
-12.9MiB live, 81.1MiB allocated; 12ms collecting garbage
Counts
54 → 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)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) N) (*.f64 N N)))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (/.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 N)) N) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N 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(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))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (* N N)) (/.f64 (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (/.f64 (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) N) #s(approx (* N (/ (- 1/2 (/ 1/3 N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)))) (*.f64 N N)))
(-.f64 (log1p.f64 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 #s(literal 1/3 binary64) N)) (*.f64 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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- (/ (* N N) (- N 1)) (/ 1 (- 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) N) (/.f64 (/.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)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) N) (*.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 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 (/ 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)) #s(approx (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) N) (/.f64 (fma.f64 N (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 (*.f64 N N) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 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 (/ 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 (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 N)) (/.f64 (fma.f64 N (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 (*.f64 N N) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (/ (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (* 2 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 (*.f64 #s(literal 2 binary64) (-.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 (+.f64 N N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 #s(literal 2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (/.f64 (fma.f64 N (fma.f64 N (fma.f64 #s(literal 2 binary64) N #s(literal -1 binary64)) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (*.f64 N N))) (*.f64 #s(literal 2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal -1 binary64)) N #s(literal 2/3 binary64)) N #s(literal -1/2 binary64)) (*.f64 N N))) (*.f64 #s(literal 2 binary64) N)) N))
(-.f64 (log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (*.f64 (neg.f64 N) (-.f64 #s(approx (neg (/ (- (neg (/ (- (/ 1/2 N) 2/3) N)) 1) N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N)) N)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- (* 2 N) (* 2 (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)))) (*.f64 (neg.f64 N) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2/3 binary64)) N)) #s(literal 1 binary64)) N)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) N)) N))
(-.f64 (log1p.f64 N) (/.f64 #s(literal 1 binary64) (pow.f64 (log.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) (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) (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 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))))))
(/.f64 (*.f64 #s(approx (+ (log N) (log (- N -1))) #s(approx (- (+ (+ (log (* N N)) (/ 1 N)) (/ 1/3 (* (* N N) N))) (/ 1/2 (* N N))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 N N) (log.f64 N) #s(literal 1 binary64)) N #s(literal -1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N 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 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) #s(approx (+ (log N) (log (- N -1))) (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (log.f64 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 (*.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 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) #s(approx (/ 1 (- N 1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N))))))
(/.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 (+.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 #s(literal 1 binary64) (pow.f64 (log.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) (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 (-.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))))
(/.f64 (*.f64 (+.f64 (log.f64 N) (log.f64 #s(approx (- (/ (* N N) (- N 1)) (/ 1 (- N 1))) (*.f64 N (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))) (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))) (+.f64 (log.f64 N) (log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.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) (log.f64 (-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) #s(approx (/ 1 (- N 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) 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 #s(approx (/ (* N N) (- N 1)) (*.f64 (neg.f64 N) (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) N)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.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))))))
Outputs
(-.f64 (log1p.f64 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:

19.0ms
N
13.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.2%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
99.2%2N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes13.0ms (0.3%)

Memory
-9.1MiB live, 37.1MiB allocated; 3ms collecting garbage
Counts
22 → 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)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) N) (*.f64 N N)))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (/.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 N)) N) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N 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(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))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (* N N)) (/.f64 (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (/.f64 (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) N) #s(approx (* N (/ (- 1/2 (/ 1/3 N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)))) (*.f64 N N)))
(-.f64 (log1p.f64 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 #s(literal 1/3 binary64) N)) (*.f64 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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- (/ (* N N) (- N 1)) (/ 1 (- 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) N) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) N)))
Outputs
(-.f64 (log1p.f64 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 #s(literal 1/3 binary64) N)) N)) N))
Calls

2 calls:

6.0ms
N
6.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
98.4%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
98.4%2N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes9.0ms (0.2%)

Memory
26.0MiB live, 26.0MiB allocated; 0ms 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)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) N) (*.f64 N N)))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (/.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 N)) N) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N 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(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))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ (- 1/2 (/ 1/3 N)) N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (* N N)) (/.f64 (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ (- 1/2 (/ 1/3 N)) N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (/.f64 (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) N) #s(approx (* N (/ (- 1/2 (/ 1/3 N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)))) (*.f64 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:

5.0ms
N
4.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
98.4%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
98.4%2N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes8.0ms (0.2%)

Memory
-28.4MiB live, 17.9MiB allocated; 3ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) N) (*.f64 N N)))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (/.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 N)) N) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N 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(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:

4.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
3.0ms
N
Results
AccuracySegmentsBranch
94.9%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
94.9%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB 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)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) N) (*.f64 N N)))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #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) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (/.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 N)) N) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) 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
AccuracySegmentsBranch
92.4%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
92.4%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB 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)) (/.f64 #s(approx (- (* 1 N) (* N (/ (- 1/2 (/ 1/3 N)) N))) N) (*.f64 N N)))
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
Outputs
#s(approx (/ (* (+ (log N) (log (- N -1))) (- (log (- N -1)) (log N))) (+ (log N) (log (- N -1)))) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
Calls

2 calls:

2.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
92.2%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
92.2%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Accuracy

Total -0.2b remaining (-1.6%)

Threshold costs -0.2b (-1.6%)

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

2 calls:

1.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
84.2%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
84.2%1N
Compiler

Compiled 7 to 7 computations (0% saved)

bsearch10.0ms (0.3%)

Memory
-35.8MiB live, 19.2MiB allocated; 4ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
815.3703516923605
1765.9155932685399
Samples
3.0ms80×0valid
Compiler

Compiled 245 to 193 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-log: 1.0ms (56.1% of total)
ival-log1p: 1.0ms (56.1% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
815.3703516923605
1765.9155932685399
Compiler

Compiled 220 to 183 computations (16.8% saved)

bsearch2.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
2.0ms
815.3703516923605
1765.9155932685399
Samples
1.0ms16×0valid
Compiler

Compiled 210 to 173 computations (17.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
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
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
815.3703516923605
1765.9155932685399
Compiler

Compiled 205 to 173 computations (15.6% saved)

bsearch6.0ms (0.2%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
5.0ms
815.3703516923605
1765.9155932685399
Samples
2.0ms64×0valid
Compiler

Compiled 120 to 128 computations (-6.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-log: 1.0ms (72.5% of total)
ival-log1p: 1.0ms (72.5% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch8.0ms (0.2%)

Memory
12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
7.0ms
2143.05969407627
4558.966758694414
Samples
3.0ms64×0valid
2.0ms16×1valid
Compiler

Compiled 105 to 113 computations (-7.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-log: 1.0ms (35.2% of total)
ival-log1p: 1.0ms (35.2% of total)
adjust: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2143.05969407627
4558.966758694414
Compiler

Compiled 115 to 123 computations (-7% saved)

derivations404.0ms (10.8%)

Memory
-63.7MiB live, 392.9MiB allocated; 122ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 150 to 92 computations (38.7% saved)

preprocess111.0ms (3%)

Memory
20.4MiB live, 294.0MiB allocated; 34ms collecting garbage
Compiler

Compiled 190 to 126 computations (33.7% saved)

end0.0ms (0%)

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

Profiling

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