2log (problem 3.3.6)

Time bar (total: 2.9s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%3.2%96.8%0%0%0%0
100%3.2%0%96.8%0%0%0%1
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.2s (43.7%)

Memory
28.8MiB live, 2 203.7MiB allocated; 299ms collecting garbage
Samples
972.0ms7 487×1valid
39.0ms769×0valid
Precisions
Click to see histograms. Total time spent on operations: 786.0ms
ival-log1p: 343.0ms (43.7% of total)
ival-log: 244.0ms (31.1% of total)
adjust: 152.0ms (19.3% of total)
ival-sub!: 47.0ms (6% of total)
Bogosity

preprocess62.0ms (2.2%)

Memory
-23.8MiB live, 22.5MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01223
13320
29118
332418
4242818
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.1%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 12 to 12 computations (0% saved)

series40.0ms (1.4%)

Memory
29.3MiB live, 74.6MiB allocated; 4ms collecting garbage
Counts
6 → 27
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 (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 (+ 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 (* 1/2 (/ 1 N))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) 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 (/ (+ 1 (* 1/2 (/ 1 N))) N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N)))))
Calls

3 calls:

TimeVariablePointExpression
23.0ms
N
@0
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
10.0ms
N
@inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
7.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

rewrite279.0ms (9.8%)

Memory
-0.9MiB live, 217.6MiB allocated; 124ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112475
0117416
1723391
07878326
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
33 → 95
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 (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 (+ 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 (* 1/2 (/ 1 N))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) 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 (/ (+ 1 (* 1/2 (/ 1 N))) N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N)))))
Outputs
(*.f64 (*.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) 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))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.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 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))) (neg.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.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) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(/.f64 (*.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) 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 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))))))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(fma.f64 (log.f64 N) #s(literal -1 binary64) (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))))
(-.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)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.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) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.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)))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(log1p.f64 (neg.f64 (neg.f64 N)))
(log1p.f64 N)
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (log.f64 (-.f64 #s(literal 1 binary64) N)))
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))
(-.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))))
(-.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))))
(log.f64 (-.f64 N #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N)
(*.f64 N (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.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 (*.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 (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 (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 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 N N (*.f64 #s(literal 1 binary64) (neg.f64 N)))))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(neg.f64 (-.f64 (neg.f64 N) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) N))
(neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 N)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(-.f64 N (*.f64 (/.f64 #s(literal -1 binary64) N) N))
(-.f64 N (*.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) N)))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #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 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(*.f64 (log.f64 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 #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 (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 (-.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 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (log (+ N 1)) (log.f64 N))
#s(approx (log (+ N 1)) (-.f64 (log.f64 N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (log (+ N 1)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) (log.f64 N)))
#s(approx (log (+ N 1)) (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N) (log.f64 N)))
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#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 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
#s(approx (log (+ N 1)) (-.f64 (log.f64 N) (/.f64 #s(literal 1 binary64) N)))
#s(approx (log (+ N 1)) (-.f64 (log.f64 N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)))
#s(approx (log (+ N 1)) (-.f64 (log.f64 N) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)))

eval9.0ms (0.3%)

Memory
31.0MiB live, 31.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 705 to 329 computations (53.3% saved)

prune33.0ms (1.1%)

Memory
-35.9MiB live, 27.2MiB allocated; 26ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New82890
Fresh000
Picked101
Done000
Total83891
Accuracy
100.0%
Counts
91 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.0%
(-.f64 (/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
26.6%
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
25.9%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
95.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
96.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal -1/2 binary64) N))) N))
92.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
84.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Compiler

Compiled 184 to 168 computations (8.7% saved)

series47.0ms (1.7%)

Memory
2.2MiB live, 48.9MiB allocated; 9ms collecting garbage
Counts
27 → 100
Calls
Call 1
Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
#s(literal 1/3 binary64)
(*.f64 N N)
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
(-.f64 (/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(*.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)))
(log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))
(*.f64 (-.f64 N #s(literal -1 binary64)) N)
(/.f64 (*.f64 (log.f64 N) (log.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(*.f64 (log.f64 N) (log.f64 N))
(log.f64 N)
Outputs
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- 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 (/ (- N -1) N) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (/ (+ 1/3 (pow N 2)) (pow N 2))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (/ (pow N 2) (log N))))
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (* (pow N 2) (+ (* -1 (* N (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))))
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 11/12 (/ 1 (log N)))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))))
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (+ (* 11/12 (/ 1 (log N))) (* N (- (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))) (+ (* 5/6 (/ 1 (log N))) (* 11/12 (/ 1 (pow (log N) 2))))))))))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))))
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 N)))))
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))))
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))))
#s(approx (log (- N -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 (log (* (- N -1) N)) #s(hole binary64 (log N)))
#s(approx (log (* (- N -1) N)) #s(hole binary64 (+ N (log N))))
#s(approx (log (* (- N -1) N)) #s(hole binary64 (+ (log N) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (* (- N -1) N)) #s(hole binary64 (+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (* (- N -1) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) #s(hole binary64 (+ (log N) (* -1 N))))
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) #s(hole binary64 (+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1)))))
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) #s(hole binary64 (+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1)))))
#s(approx (* (log N) (log N)) #s(hole binary64 (pow (log N) 2)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- N -1) N) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (+ 1 (* 1/3 (/ 1 (pow N 2))))))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/16 (/ 1 (log (/ 1 N)))) (+ 1/12 (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N)))))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (+ 1/12 (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)))
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (* -1/2 (log (/ 1 N)))))
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (+ (* -1/2 (log (/ 1 N))) (* 3/4 (/ 1 N)))))
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))))
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) #s(hole binary64 (- (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 3/16 (* (pow N 3) (log (/ 1 N)))) (* 1/12 (/ 1 (pow N 3))))))))
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (pow (log (/ 1 N)) 2)))
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))))
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))))
#s(approx (* (log (- N -1)) (log (- N -1))) #s(hole binary64 (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))))
#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 (log (* (- N -1) N)) #s(hole binary64 (* -2 (log (/ 1 N)))))
#s(approx (log (* (- N -1) N)) #s(hole binary64 (+ (* -2 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (* (- N -1) N)) #s(hole binary64 (- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (* (- N -1) N)) #s(hole binary64 (- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (* (- N -1) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) #s(hole binary64 (- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))))
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) #s(hole binary64 (- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) #s(hole binary64 (- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ -1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (log (/ 1 N)) (* N (log (/ -1 N)))))))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))) N)) (/ (log (/ 1 N)) (log (/ -1 N)))) N))))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ -1 N)))) (* 1/16 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (+ (* 1/4 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))) N)) (/ (log (/ 1 N)) (log (/ -1 N)))) N))))
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Calls

3 calls:

TimeVariablePointExpression
22.0ms
N
@-inf
((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) 1/3 (* N N) (/ 1/2 N) 1/2 (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (* (log (- N -1)) (log (- N -1))) (log (- N -1)) (log (* (- N -1) N)) (* (- N -1) N) (/ (* (log N) (log N)) (log (* (- N -1) N))) (* (log N) (log N)) (log N))
12.0ms
N
@inf
((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) 1/3 (* N N) (/ 1/2 N) 1/2 (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (* (log (- N -1)) (log (- N -1))) (log (- N -1)) (log (* (- N -1) N)) (* (- N -1) N) (/ (* (log N) (log N)) (log (* (- N -1) N))) (* (log N) (log N)) (log N))
10.0ms
N
@0
((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) 1/3 (* N N) (/ 1/2 N) 1/2 (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (* (log (- N -1)) (log (- N -1))) (log (- N -1)) (log (* (- N -1) N)) (* (- N -1) N) (/ (* (log N) (log N)) (log (* (- N -1) N))) (* (log N) (log N)) (log N))

rewrite180.0ms (6.3%)

Memory
18.9MiB live, 110.6MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06344828
06704054
149254000
084873719
Stop Event
iter-limit
node-limit
iter-limit
Counts
127 → 289
Calls
Call 1
Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
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#s(literal 1 binary64)
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#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (fma.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) #s(literal -1/4 binary64))) N))))
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (fma.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) #s(literal -1/4 binary64))) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N)))))))) N)) (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N))))) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) #s(literal -1/4 binary64))) N))))
#s(approx (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (fma.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/12 binary64) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) #s(literal -1/4 binary64))) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N)))))))) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) #s(literal -1/4 binary64))) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 1/4 binary64))))) N))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) #s(literal -1/4 binary64))) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N)))))))) N)) (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N))))) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) #s(literal -1/4 binary64))) N))))
#s(approx (* (log (- N -1)) (log (- N -1))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (/.f64 (neg.f64 (log.f64 N)) N) #s(literal 2 binary64))))
#s(approx (* (log (- N -1)) (log (- N -1))) (fma.f64 (log.f64 N) (log.f64 N) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) N))) N))))
#s(approx (* (log (- N -1)) (log (- N -1))) (fma.f64 (log.f64 N) (log.f64 N) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (neg.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) N))) N))) N))))
#s(approx (log (- N -1)) (-.f64 (log.f64 N) (/.f64 #s(literal 1 binary64) N)))
#s(approx (log (- N -1)) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)) (log.f64 N)))
#s(approx (log (- N -1)) (+.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)) (log.f64 N)))
#s(approx (log (* (- N -1) N)) (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N))))
#s(approx (log (* (- N -1) N)) (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (/.f64 #s(literal 1 binary64) N)))
#s(approx (log (* (- N -1) N)) (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))))
#s(approx (log (* (- N -1) N)) (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))))
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) (fma.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N)))) N)) #s(literal -1/4 binary64))))
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) (fma.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal 3 binary64)) N)) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N)))) N)) #s(literal -1/8 binary64))) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) #s(literal -1/4 binary64))) N))))
#s(approx (/ (* (log N) (log N)) (log (* (- N -1) N))) (fma.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) (*.f64 (*.f64 (*.f64 (log.f64 N) (log.f64 N)) (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -3 binary64))) #s(literal 1/8 binary64))) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) N)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal 3 binary64)) N)) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N)))) N)) #s(literal -1/12 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) (*.f64 (*.f64 (*.f64 (log.f64 N) (log.f64 N)) (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -3 binary64))) #s(literal 1/8 binary64)))) N)) (*.f64 (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (neg.f64 (log.f64 (neg.f64 N))) (neg.f64 (log.f64 (neg.f64 N))))) #s(literal -1/4 binary64))) N))))

eval41.0ms (1.4%)

Memory
-9.3MiB live, 39.9MiB allocated; 15ms collecting garbage
Compiler

Compiled 4 886 to 1 447 computations (70.4% saved)

prune11.0ms (0.4%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New2656271
Fresh123
Picked055
Done000
Total26613279
Accuracy
100.0%
Counts
279 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.0%
(-.f64 (/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
26.6%
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
25.9%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
25.9%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
95.0%
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) N))
94.8%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (fma.f64 N N #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (neg.f64 (/.f64 #s(literal 1/2 binary64) N))) N))
95.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
92.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
84.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
94.6%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
96.0%
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))
96.0%
#s(approx (log (+ 1 (/ 1 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)))
Compiler

Compiled 315 to 294 computations (6.7% saved)

series23.0ms (0.8%)

Memory
-25.7MiB live, 22.1MiB allocated; 3ms collecting garbage
Counts
40 → 117
Calls
Call 1
Inputs
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(literal 1 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
N
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))
#s(literal 1/4 binary64)
(*.f64 (*.f64 N N) N)
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))
(/.f64 N (-.f64 N #s(literal -1 binary64)))
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 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 (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)))
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))
(-.f64 N #s(literal 1/2 binary64))
#s(approx (log (+ 1 (/ 1 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)))
(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))
(/.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)
(-.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))
(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))
(/.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)
(-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
Outputs
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (+ 1 (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (+ 1 (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (+ 1 (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx N #s(hole binary64 N))
#s(approx (/ 1/4 (* (* N N) N)) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ -1/2 N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (log (/ N (- N -1))) #s(hole binary64 (log N)))
#s(approx (log (/ N (- N -1))) #s(hole binary64 (+ (log N) (* -1 N))))
#s(approx (log (/ N (- N -1))) #s(hole binary64 (+ (log N) (* N (- (* 1/2 N) 1)))))
#s(approx (log (/ N (- N -1))) #s(hole binary64 (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))))
#s(approx (/ N (- N -1)) #s(hole binary64 (* N (+ 1 (* -1 N)))))
#s(approx (/ N (- N -1)) #s(hole binary64 (* N (+ 1 (* N (- N 1))))))
#s(approx (/ N (- N -1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* -1/2 N))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* N (- N 1/2)))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) #s(hole binary64 (/ 1/4 (pow N 4))))
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 4))))
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 4))))
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 4))))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3))))
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ 1/4 N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (log (/ N (- N -1))) #s(hole binary64 (/ -1 N)))
#s(approx (log (/ N (- N -1))) #s(hole binary64 (/ (- (* 1/2 (/ 1 N)) 1) N)))
#s(approx (log (/ N (- N -1))) #s(hole binary64 (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)))
#s(approx (log (/ N (- N -1))) #s(hole binary64 (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)))
#s(approx (/ N (- N -1)) #s(hole binary64 (- 1 (/ 1 N))))
#s(approx (/ N (- N -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
#s(approx (/ N (- N -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 -1))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) #s(hole binary64 (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)))
#s(approx (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)))
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))))
#s(approx (neg (/ (- (/ 1/4 N) 1/3) N)) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ -1/3 N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (- (* 1/4 (/ 1 N)) 1/3) N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 -1/3))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (- (* 1/4 (/ 1 N)) 1/3)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))))
#s(approx (log (/ N (- N -1))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))))
#s(approx (log (/ N (- N -1))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))))
#s(approx (log (/ N (- N -1))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))))
#s(approx (/ N (- N -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))))
#s(approx (/ N (- N -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N)))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))))
#s(approx (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))))
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
#s(approx (neg (/ (- (/ 1/4 N) 1/3) N)) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))))
Calls

3 calls:

TimeVariablePointExpression
10.0ms
N
@0
((log (+ 1 (/ 1 N))) (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) (+ 1 (/ (- (/ 1/3 N) 1/2) N)) 1 (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 N 1/2 (/ 1/4 (* (* N N) N)) 1/4 (* (* N N) N) (* N N) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) (neg (log (/ N (- N -1)))) (log (/ N (- N -1))) (/ N (- N -1)) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (+ (* (- N 1/2) N) 1/3) (- N 1/2) (log (+ 1 (/ 1 N))) (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N)) (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N) (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) (neg (/ (- (/ 1/4 N) 1/3) N)) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N))
6.0ms
N
@inf
((log (+ 1 (/ 1 N))) (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) (+ 1 (/ (- (/ 1/3 N) 1/2) N)) 1 (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 N 1/2 (/ 1/4 (* (* N N) N)) 1/4 (* (* N N) N) (* N N) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) (neg (log (/ N (- N -1)))) (log (/ N (- N -1))) (/ N (- N -1)) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (+ (* (- N 1/2) N) 1/3) (- N 1/2) (log (+ 1 (/ 1 N))) (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N)) (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N) (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) (neg (/ (- (/ 1/4 N) 1/3) N)) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N))
4.0ms
N
@-inf
((log (+ 1 (/ 1 N))) (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) (+ 1 (/ (- (/ 1/3 N) 1/2) N)) 1 (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 N 1/2 (/ 1/4 (* (* N N) N)) 1/4 (* (* N N) N) (* N N) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) (neg (log (/ N (- N -1)))) (log (/ N (- N -1))) (/ N (- N -1)) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (+ (* (- N 1/2) N) 1/3) (- N 1/2) (log (+ 1 (/ 1 N))) (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N)) (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N) (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) (neg (/ (- (/ 1/4 N) 1/3) N)) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N))

rewrite215.0ms (7.5%)

Memory
2.0MiB live, 144.9MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03852711
04362433
121852400
090522289
Stop Event
iter-limit
node-limit
iter-limit
Counts
157 → 609
Calls
Call 1
Inputs
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(literal 1 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
N
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))
#s(literal 1/4 binary64)
(*.f64 (*.f64 N N) N)
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))
(/.f64 N (-.f64 N #s(literal -1 binary64)))
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 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 (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)))
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))
(-.f64 N #s(literal 1/2 binary64))
#s(approx (log (+ 1 (/ 1 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)))
(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))
(/.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)
(-.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))
(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))
(/.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)
(-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (+ 1 (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (+ 1 (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (+ 1 (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx N #s(hole binary64 N))
#s(approx (/ 1/4 (* (* N N) N)) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ -1/2 N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (log (/ N (- N -1))) #s(hole binary64 (log N)))
#s(approx (log (/ N (- N -1))) #s(hole binary64 (+ (log N) (* -1 N))))
#s(approx (log (/ N (- N -1))) #s(hole binary64 (+ (log N) (* N (- (* 1/2 N) 1)))))
#s(approx (log (/ N (- N -1))) #s(hole binary64 (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))))
#s(approx (/ N (- N -1)) #s(hole binary64 (* N (+ 1 (* -1 N)))))
#s(approx (/ N (- N -1)) #s(hole binary64 (* N (+ 1 (* N (- N 1))))))
#s(approx (/ N (- N -1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* -1/2 N))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* N (- N 1/2)))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) #s(hole binary64 (/ 1/4 (pow N 4))))
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 4))))
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 4))))
#s(approx (/ (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 4))))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3))))
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ 1/4 N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (log (/ N (- N -1))) #s(hole binary64 (/ -1 N)))
#s(approx (log (/ N (- N -1))) #s(hole binary64 (/ (- (* 1/2 (/ 1 N)) 1) N)))
#s(approx (log (/ N (- N -1))) #s(hole binary64 (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)))
#s(approx (log (/ N (- N -1))) #s(hole binary64 (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)))
#s(approx (/ N (- N -1)) #s(hole binary64 (- 1 (/ 1 N))))
#s(approx (/ N (- N -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
#s(approx (/ N (- N -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 -1))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) #s(hole binary64 (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)))
#s(approx (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)))
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))))
#s(approx (neg (/ (- (/ 1/4 N) 1/3) N)) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ -1/3 N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (- (* 1/4 (/ 1 N)) 1/3) N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 -1/3))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (- (* 1/4 (/ 1 N)) 1/3)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))))
#s(approx (log (/ N (- N -1))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))))
#s(approx (log (/ N (- N -1))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))))
#s(approx (log (/ N (- N -1))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))))
#s(approx (/ N (- N -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))))
#s(approx (/ N (- N -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N)))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))))
#s(approx (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))))
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
#s(approx (neg (/ (- (/ 1/4 N) 1/3) N)) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))))
Outputs
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) N)) N))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) N)) (/.f64 #s(literal 1 binary64) N))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) N) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) N) (fma.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) N) N) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) N) N) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) N) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) N) N)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) N) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N) (fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) N) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) N) (*.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) N)))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) N) (*.f64 N (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) N))) (*.f64 N N))
(/.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N) (*.f64 (neg.f64 N) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)))) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N) (*.f64 N (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)))) (*.f64 N N))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)))) #s(literal -1 binary64)) (*.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) (neg.f64 N)))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) N) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) N))) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) N)) (neg.f64 N)))
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) N) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) N))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) N)) N))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))))) (neg.f64 N)))
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#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))
#s(approx (- (/ 1/4 N) 1/3) (/.f64 #s(literal 1/4 binary64) N))
#s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 #s(literal 1 binary64) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) N)) N))
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)))
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (- (/ 1/3 N) 1/2) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))
#s(approx (log (/ N (- N -1))) (/.f64 #s(literal -1 binary64) N))
#s(approx (log (/ N (- N -1))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
#s(approx (log (/ N (- N -1))) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N))
#s(approx (log (/ N (- N -1))) (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) N))) N))
#s(approx (/ N (- N -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
#s(approx (/ N (- N -1)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N)))
#s(approx (/ N (- N -1)) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))))
#s(approx (- N -1) (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))
#s(approx (+ (* (- N 1/2) N) 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
#s(approx (+ (* (- N 1/2) N) 1/3) (*.f64 (*.f64 N N) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))))
#s(approx (- N 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) #s(literal -1 binary64))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) N))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/3 binary64) N)) N))
#s(approx (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) N))
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))))
#s(approx (neg (/ (- (/ 1/4 N) 1/3) N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 #s(literal -1/3 binary64) N))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
#s(approx (- (/ 1/4 N) 1/3) #s(literal -1/3 binary64))
#s(approx (- (/ 1/4 N) 1/3) (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (/ 1 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 (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) #s(literal 1 binary64)))
#s(approx (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (log (/ N (- N -1))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))
#s(approx (log (/ N (- N -1))) (neg.f64 (/.f64 (+.f64 (neg.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 (- N -1))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (/ N (- N -1)) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)) #s(literal 1 binary64)))
#s(approx (/ N (- N -1)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)) #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
#s(approx (+ (* (- N 1/2) N) 1/3) (*.f64 (*.f64 N N) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) #s(literal 1 binary64))))
#s(approx (- N 1/2) (*.f64 (neg.f64 N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)))
#s(approx (- (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) 1) (-.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(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)))
#s(approx (neg (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))
#s(approx (/ (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) N) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) N)))
#s(approx (- (neg (/ (- (/ 1/4 N) 1/3) N)) 1/2) (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)))
#s(approx (neg (/ (- (/ 1/4 N) 1/3) N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))

eval71.0ms (2.5%)

Memory
15.4MiB live, 105.6MiB allocated; 10ms collecting garbage
Compiler

Compiled 8 701 to 3 488 computations (59.9% saved)

prune15.0ms (0.5%)

Memory
26.0MiB live, 26.0MiB allocated; 0ms collecting garbage
Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New5957602
Fresh123
Picked235
Done235
Total60015615
Accuracy
100.0%
Counts
615 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.6%
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
26.8%
(neg.f64 (log.f64 (*.f64 N (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))))))
99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
25.9%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
25.9%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
95.0%
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) N))
92.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
92.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
84.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
92.5%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N)))
94.6%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
94.6%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal -1/3 binary64)) (*.f64 (*.f64 N N) N))))
92.4%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
96.0%
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N))
95.6%
#s(approx (log (+ 1 (/ 1 N))) #s(approx (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 (*.f64 N N) (*.f64 N N)))))
Compiler

Compiled 372 to 356 computations (4.3% saved)

series16.0ms (0.5%)

Memory
-26.1MiB live, 19.9MiB allocated; 4ms collecting garbage
Counts
34 → 93
Calls
Call 1
Inputs
#s(approx (log (+ 1 (/ 1 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)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(-.f64 N #s(literal 1/2 binary64))
(*.f64 N N)
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) N)
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) N)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal -1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal -1/3 binary64)) (*.f64 (*.f64 N N) N)))
(/.f64 (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal -1/3 binary64)) (*.f64 (*.f64 N N) N))
(-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal -1/3 binary64))
(*.f64 (-.f64 N #s(literal 1/2 binary64)) N)
#s(literal -1/3 binary64)
(*.f64 (*.f64 N N) N)
Outputs
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (/ -1/4 N)))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx N #s(hole binary64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
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#s(approx (+ (/ 1 N) 1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (/ (+ 1 (/ (- (/ 1/3 N) 1/2) N)) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ 1 (/ (- (/ 1/3 N) 1/2) N)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
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#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (- (* (- N 1/2) N) -1/3) #s(hole binary64 1/3))
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#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
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#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)))))
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#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ 1/2 N)))
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#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)))
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#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N)))))
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#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
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#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
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#s(approx (- (* (- N 1/2) N) -1/3) #s(hole binary64 (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))))
#s(approx (- (* (- N 1/2) N) -1/3) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
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#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- 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 (- (log (+ N 1)) (log N)) #s(hole binary64 (/ -1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))
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#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (log (/ 1 N)) (* N (log (/ -1 N)))))))
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#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ -1 N)))) (* 1/16 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (+ (* 1/4 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))) N)) (/ (log (/ 1 N)) (log (/ -1 N)))) N))))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/16 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (log (/ -1 N)))) (+ (* -1/4 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/24 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/6 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (+ (* 1/4 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) (log (/ -1 N))))))) N)) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ -1 N)))) (* 1/16 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/4 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))) N)) (/ (log (/ 1 N)) (log (/ -1 N)))) N))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (- (* (- N 1/2) N) -1/3) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
N
@0
((log (+ 1 (/ 1 N))) (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) 1/2 (/ (- 1/3 (/ 1/4 N)) N) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) (* N N) (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1) (/ 1 N) (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) (/ (+ 1 (/ (- (/ 1/3 N) 1/2) N)) N) (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/ (- (* (- N 1/2) N) -1/3) (* (* N N) N)) (- (* (- N 1/2) N) -1/3) (* (- N 1/2) N) -1/3 (* (* N N) N))
4.0ms
N
@-inf
((log (+ 1 (/ 1 N))) (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) 1/2 (/ (- 1/3 (/ 1/4 N)) N) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) (* N N) (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1) (/ 1 N) (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) (/ (+ 1 (/ (- (/ 1/3 N) 1/2) N)) N) (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/ (- (* (- N 1/2) N) -1/3) (* (* N N) N)) (- (* (- N 1/2) N) -1/3) (* (- N 1/2) N) -1/3 (* (* N N) N))
3.0ms
N
@inf
((log (+ 1 (/ 1 N))) (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) 1/2 (/ (- 1/3 (/ 1/4 N)) N) (- 1/3 (/ 1/4 N)) 1/3 (/ 1/4 N) 1/4 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) (* N N) (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1) (/ 1 N) (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) (/ (+ 1 (/ (- (/ 1/3 N) 1/2) N)) N) (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/ (- (* (- N 1/2) N) -1/3) (* (* N N) N)) (- (* (- N 1/2) N) -1/3) (* (- N 1/2) N) -1/3 (* (* N N) N))

rewrite199.0ms (7%)

Memory
0.3MiB live, 140.0MiB allocated; 58ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04733571
05133082
132243033
086272896
Stop Event
iter-limit
node-limit
iter-limit
Counts
127 → 347
Calls
Call 1
Inputs
#s(approx (log (+ 1 (/ 1 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))
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(-.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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(-.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)
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(-.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
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#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
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(*.f64 N N)
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#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal -1/3 binary64)) (*.f64 (*.f64 N N) N)))
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#s(literal -1/3 binary64)
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#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ N (* -1 (log N)))))
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#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- 1 (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (/ (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (/ -1/4 N)))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx N #s(hole binary64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (+ (/ 1 N) 1) #s(hole binary64 (/ 1 N)))
#s(approx (+ (/ 1 N) 1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (/ (+ 1 (/ (- (/ 1/3 N) 1/2) N)) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ 1 (/ (- (/ 1/3 N) 1/2) N)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ 1 (/ (- (/ 1/3 N) 1/2) N)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ 1 (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (+ 1 (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (+ 1 (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (- (* (- N 1/2) N) -1/3) #s(hole binary64 1/3))
#s(approx (- (* (- N 1/2) N) -1/3) #s(hole binary64 (+ 1/3 (* -1/2 N))))
#s(approx (- (* (- N 1/2) N) -1/3) #s(hole binary64 (+ 1/3 (* N (- N 1/2)))))
#s(approx (* (- N 1/2) N) #s(hole binary64 (* -1/2 N)))
#s(approx (* (- N 1/2) N) #s(hole binary64 (* N (- N 1/2))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- 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 (* 1/4 (/ 1 N))) N)))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (- 1/3 (* 1/4 (/ 1 N)))))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (/ 1 N) 1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/16 (/ 1 (log (/ 1 N)))) (+ 1/12 (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N)))))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (+ 1/12 (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (- (* (- N 1/2) N) -1/3) #s(hole binary64 (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))))
#s(approx (- (* (- N 1/2) N) -1/3) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- 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 (- (log (+ N 1)) (log N)) #s(hole binary64 (/ -1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (log (/ 1 N)) (* N (log (/ -1 N)))))))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))) N)) (/ (log (/ 1 N)) (log (/ -1 N)))) N))))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ -1 N)))) (* 1/16 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (+ (* 1/4 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))) N)) (/ (log (/ 1 N)) (log (/ -1 N)))) N))))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/16 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (log (/ -1 N)))) (+ (* -1/4 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/24 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/6 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (+ (* 1/4 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) (log (/ -1 N))))))) N)) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ -1 N)))) (* 1/16 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/4 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ -1 N)))) (* 1/8 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log (/ 1 N)) (log (/ -1 N))) (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow (log (/ -1 N)) 2)))) (log (/ -1 N))))) N)) (/ (log (/ 1 N)) (log (/ -1 N)))) N))))
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#s(approx (- (* (- N 1/2) N) -1/3) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))))
Outputs
#s(approx (log (+ 1 (/ 1 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)) (/.f64 #s(literal 1 binary64) N))
(/.f64 (*.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))) #s(literal -1 binary64)) (*.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))) (neg.f64 N)))
(/.f64 (*.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))) #s(literal -1 binary64)) (*.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 (-.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))) #s(literal 1 binary64)) (*.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))) N))
(/.f64 (*.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))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N))
(/.f64 (*.f64 (+.f64 #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))) #s(literal -1 binary64)) (*.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))))) (neg.f64 N)))
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(neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 1/4 binary64)))) N)) (fma.f64 (*.f64 (*.f64 (log.f64 N) (log.f64 N)) (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -3 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal -1/2 binary64)))) (*.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) (*.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 1/2 binary64))) N)) (/.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 (neg.f64 N))))) N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))
#s(approx (- (* (- N 1/2) N) -1/3) (*.f64 (*.f64 N N) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) #s(literal 1 binary64))))

eval38.0ms (1.3%)

Memory
21.0MiB live, 65.2MiB allocated; 5ms collecting garbage
Compiler

Compiled 4 686 to 1 855 computations (60.4% saved)

prune23.0ms (0.8%)

Memory
-27.2MiB live, 30.3MiB allocated; 8ms collecting garbage
Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New3383341
Fresh134
Picked235
Done066
Total34115356
Accuracy
100.0%
Counts
356 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.6%
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
26.8%
(neg.f64 (log.f64 (*.f64 N (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))))))
99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
25.9%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
25.9%
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
92.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
92.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
84.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
94.6%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
94.6%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal -1/3 binary64)) (*.f64 (*.f64 N N) N))))
92.4%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
92.2%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))))
96.0%
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N))
95.0%
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N)) N))
95.6%
#s(approx (log (+ 1 (/ 1 N))) #s(approx (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 (*.f64 N N) (*.f64 N N)))))
Compiler

Compiled 453 to 377 computations (16.8% saved)

regimes13.0ms (0.5%)

Memory
22.8MiB live, 22.8MiB allocated; 0ms collecting garbage
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N)))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1/2 (/ (- 1/3 (/ 1/4 N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N)) N))
#s(approx (- (/ (* (log (- N -1)) (log (- N -1))) (log (* (- N -1) N))) (/ (* (log N) (log N)) (log (* (- N -1) N)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) N))
(neg.f64 (log.f64 (*.f64 N (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))))))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 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 (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (-.f64 (*.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)) (/.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 (+ 1 (/ 1 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 (fma.f64 (fma.f64 N N #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (neg.f64 (/.f64 #s(literal 1/2 binary64) N))) N))
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(approx (/ (- (+ 1 (/ (- (/ 1/3 N) 1/2) N)) (/ 1/4 (* (* N N) N))) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 (*.f64 N N) (*.f64 N N)))))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal -1/2 binary64) N))) N))
(-.f64 (/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (*.f64 (log.f64 N) (log.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
Calls

2 calls:

6.0ms
N
5.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.8%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
99.8%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes9.0ms (0.3%)

Memory
-34.1MiB live, 12.2MiB allocated; 4ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N)))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
Calls

2 calls:

3.0ms
N
2.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
98.0%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
98.0%2N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes6.0ms (0.2%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N)))
Outputs
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
Calls

2 calls:

3.0ms
N
2.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
97.9%2N
97.9%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) #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 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
Calls

2 calls:

2.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
92.6%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
92.6%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
Calls

2 calls:

1.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
92.6%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
92.6%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
Calls

2 calls:

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

regimes2.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) 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
84.9%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
84.9%1N
Compiler

Compiled 7 to 7 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.8657844552147935e-6
7.48930455429786e-6
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch6.0ms (0.2%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
6.0ms
258679.20960347602
359359.36330852815
Samples
4.0ms48×1valid
Compiler

Compiled 64 to 68 computations (-6.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
adjust: 1.0ms (34.9% of total)
ival-log: 1.0ms (34.9% of total)
ival-log1p: 1.0ms (34.9% of total)
ival-sub!: 0.0ms (0% of total)

derivations200.0ms (7%)

Memory
-40.0MiB live, 103.4MiB allocated; 13ms collecting garbage
Stop Event
fuel
Compiler

Compiled 55 to 45 computations (18.2% saved)

preprocess58.0ms (2%)

Memory
17.6MiB live, 107.5MiB allocated; 11ms collecting garbage
Compiler

Compiled 95 to 79 computations (16.8% saved)

end0.0ms (0%)

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

Profiling

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