2log (problem 3.3.6)

Time bar (total: 3.5s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%3.2%96.8%0%0%0%0
100%3.2%0%96.8%0%0%0%1
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.4s (38.8%)

Memory
36.2MiB live, 1 398.1MiB allocated; 403ms collecting garbage
Samples
976.0ms7 471×1valid
45.0ms784×0valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 822.0ms
ival-log1p: 372.0ms (45.3% of total)
ival-log: 261.0ms (31.8% of total)
adjust: 148.0ms (18% of total)
ival-sub!: 41.0ms (5% of total)
Bogosity

preprocess66.0ms (1.9%)

Memory
-14.3MiB live, 29.2MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01223
13320
28918
336218
4306718
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.9%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 12 to 12 computations (0% saved)

series41.0ms (1.1%)

Memory
29.1MiB live, 71.1MiB allocated; 8ms 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))
11.0ms
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))

rewrite151.0ms (4.3%)

Memory
4.5MiB live, 191.8MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112475
0117416
1855397
08445332
Stop Event
iter-limit
node-limit
iter-limit
Counts
33 → 108
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 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 N) (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))) (/.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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))))
(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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))))
(/.f64 (*.f64 (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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.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) (/.f64 (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))) (-.f64 (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 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N)))
(log.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(log1p.f64 N)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))) (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(fma.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))) (log.f64 N))
(fma.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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))) (log.f64 N))
(fma.f64 (neg.f64 (log.f64 N)) #s(literal -1 binary64) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) 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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))))
(-.f64 (log.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (log.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(+.f64 (log.f64 N) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))
(+.f64 (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 N))
(+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 0 binary64))
(log.f64 (-.f64 N #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 N N) N)) N)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) N)
(*.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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))))
(*.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 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 N (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (/.f64 N N) (/.f64 N N))) (-.f64 N (/.f64 N N)))
(/.f64 (fma.f64 (*.f64 N N) N (pow.f64 (/.f64 N N) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (*.f64 (/.f64 N N) (/.f64 N N)) (*.f64 N (/.f64 N N)))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 N #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))))
(/.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) (neg.f64 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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (+.f64 #s(literal 1 binary64) (fma.f64 N N (*.f64 #s(literal 1 binary64) (neg.f64 N)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) 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 N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (fma.f64 (*.f64 N N) N #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 (/.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 (neg.f64 (/.f64 N N)))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) (/.f64 (*.f64 (*.f64 N N) N) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))))
(+.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) N)
(+.f64 N (/.f64 N N))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(*.f64 (neg.f64 (log.f64 N)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 N)))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (log (+ N 1)) N)
#s(approx (log (+ N 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N))
#s(approx (log (+ N 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N))
#s(approx (log (+ N 1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (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 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 N N) N)))) N))
#s(approx (log (+ N 1)) (log.f64 N))
#s(approx (log (+ N 1)) (+.f64 (log.f64 N) (/.f64 #s(literal 1 binary64) N)))
#s(approx (log (+ N 1)) (+.f64 (log.f64 N) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))
#s(approx (log (+ N 1)) (-.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 N N) N))) (log.f64 N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N 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)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.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)) 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)))

eval10.0ms (0.3%)

Memory
14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 888 to 389 computations (56.2% saved)

prune6.0ms (0.2%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New967103
Fresh000
Picked101
Done000
Total977104
Accuracy
99.9%
Counts
104 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.3%
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
27.7%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
94.6%
#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))
95.9%
#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 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 N N) N)))) N))
92.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
83.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Compiler

Compiled 146 to 144 computations (1.4% saved)

series348.0ms (9.9%)

Memory
-124.3MiB live, 9.2MiB allocated; 628ms collecting garbage
Counts
17 → 48
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))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
(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)
(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)))
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 (/ (- 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 (/ (- N -1) N) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (log (/ 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 (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 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 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 (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 (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 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)))))
Calls

3 calls:

TimeVariablePointExpression
303.0ms
N
@0
((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) 1/2 (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (neg (log (/ N (- N -1)))) (log (/ N (- N -1))) (/ N (- N -1)))
43.0ms
N
@inf
((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) 1/2 (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (neg (log (/ N (- N -1)))) (log (/ N (- N -1))) (/ N (- N -1)))
2.0ms
N
@-inf
((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) 1/2 (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (neg (log (/ N (- N -1)))) (log (/ N (- N -1))) (/ N (- N -1)))

rewrite355.0ms (10.1%)

Memory
35.1MiB live, 177.4MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0213870
0230777
11612753
09394732
Stop Event
iter-limit
node-limit
iter-limit
Counts
65 → 288
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))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
(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)
(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)))
#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 (/ (- 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 (/ (- N -1) N) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (log (/ 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 (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 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 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 (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 (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (+ 1 (* 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)))))
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 N) (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 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 N) (log.f64 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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.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)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))) (log.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (neg.f64 (-.f64 N #s(literal -1 binary64)))) (log.f64 (neg.f64 N)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
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#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 (/ 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)))

eval34.0ms (1%)

Memory
-4.2MiB live, 52.5MiB allocated; 9ms collecting garbage
Compiler

Compiled 2 206 to 1 052 computations (52.3% saved)

prune13.0ms (0.4%)

Memory
-23.1MiB live, 20.9MiB allocated; 5ms collecting garbage
Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New2698277
Fresh202
Picked055
Done000
Total27113284
Accuracy
100.0%
Counts
284 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.3%
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
94.6%
(neg.f64 #s(approx (log (/ N (- N -1))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N)))
99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
95.4%
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
27.7%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
91.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))))))
92.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
92.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))))
83.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
92.0%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
92.0%
#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)))
91.8%
#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))))
94.6%
#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)))
Compiler

Compiled 280 to 266 computations (5% saved)

series140.0ms (4%)

Memory
-0.9MiB live, 144.3MiB allocated; 16ms collecting garbage
Counts
37 → 77
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
(exp.f64 (neg.f64 (log.f64 N)))
(neg.f64 (log.f64 N))
(log.f64 N)
N
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1/2 binary64) N) N)
(/.f64 #s(literal 1/2 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)))
(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))
(/.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 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64))
(neg.f64 (/.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(literal 1/3 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))
(*.f64 (*.f64 N N) N)
(pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))
Outputs
#s(approx (log (+ 1 (exp (neg (log N))))) #s(hole binary64 (log (+ 1 (exp (neg (log N)))))))
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (log N)))))
#s(approx (neg (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (log N) #s(hole binary64 (log 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) #s(hole binary64 (/ 1 N)))
#s(approx (/ (/ 1/2 N) N) #s(hole binary64 (/ 1/2 (pow N 2))))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 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 (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) #s(hole binary64 (/ -1/3 (pow N 3))))
#s(approx (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) #s(hole binary64 (/ (- (* 1/2 N) 1/3) (pow N 3))))
#s(approx (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) #s(hole binary64 (/ (- (* N (+ 1/2 (* -1 N))) 1/3) (pow N 3))))
#s(approx (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) #s(hole binary64 (/ -1/3 (pow N 2))))
#s(approx (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) #s(hole binary64 (/ (- (* 1/2 N) 1/3) (pow N 2))))
#s(approx (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) #s(hole binary64 (/ (- (* N (+ 1/2 (* -1 N))) 1/3) (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) #s(hole binary64 (/ -1/8 (pow N 6))))
#s(approx (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) #s(hole binary64 (/ (- (pow N 3) 1/8) (pow N 6))))
#s(approx (/ 1 (* (* N N) N)) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (pow (/ (/ 1/2 N) N) 3) #s(hole binary64 (/ 1/8 (pow N 6))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) #s(hole binary64 (/ 1/4 (pow N 4))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) #s(hole binary64 (/ (+ 1/4 (* 1/2 N)) (pow N 4))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) #s(hole binary64 (/ (+ 1/4 (* N (+ 1/2 N))) (pow N 4))))
#s(approx (/ 1 (* N N)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (* (/ 1 N) (/ (/ 1/2 N) N)) #s(hole binary64 (/ 1/2 (pow N 3))))
#s(approx (log (+ 1 (exp (neg (log N))))) #s(hole binary64 (log (+ 1 (exp (neg (* -1 (log (/ 1 N)))))))))
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (* -1 (log (/ 1 N)))))))
#s(approx (neg (log N)) #s(hole binary64 (log (/ 1 N))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) 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 (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) #s(hole binary64 (/ -1 N)))
#s(approx (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) #s(hole binary64 (/ (- (* 1/2 (/ 1 N)) 1) N)))
#s(approx (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) #s(hole binary64 (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)))
#s(approx (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) #s(hole binary64 -1))
#s(approx (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (neg (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 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 (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) #s(hole binary64 (/ (- 1 (* 1/8 (/ 1 (pow N 3)))) (pow N 3))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) #s(hole binary64 (/ (+ 1 (* 1/2 (/ 1 N))) (pow N 2))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) #s(hole binary64 (/ (+ 1 (+ (/ 1/4 (pow N 2)) (* 1/2 (/ 1 N)))) (pow N 2))))
#s(approx (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))) #s(hole binary64 (/ (+ 1/2 (* 1/4 (/ 1 N))) (pow N 3))))
#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 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (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 (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))))
#s(approx (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))))
#s(approx (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (neg (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) #s(hole binary64 (* -1 (/ (- (* 1/8 (/ 1 (pow N 3))) 1) (pow N 3)))))
Calls

3 calls:

TimeVariablePointExpression
78.0ms
N
@-inf
((log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log N) N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ (/ 1/2 N) N)) (/ 1 N) 1 (/ (/ 1/2 N) N) (/ 1/2 N) (log (+ 1 (/ 1 N))) (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) (neg (/ (- (/ 1/3 N) 1/2) N)) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))) (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (/ 1 (* (* N N) N)) (* (* N N) N) (pow (/ (/ 1/2 N) N) 3) 3 (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))) (* (/ 1 N) (/ (/ 1/2 N) N)))
33.0ms
N
@0
((log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log N) N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ (/ 1/2 N) N)) (/ 1 N) 1 (/ (/ 1/2 N) N) (/ 1/2 N) (log (+ 1 (/ 1 N))) (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) (neg (/ (- (/ 1/3 N) 1/2) N)) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))) (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (/ 1 (* (* N N) N)) (* (* N N) N) (pow (/ (/ 1/2 N) N) 3) 3 (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))) (* (/ 1 N) (/ (/ 1/2 N) N)))
27.0ms
N
@inf
((log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log N) N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ (/ 1/2 N) N)) (/ 1 N) 1 (/ (/ 1/2 N) N) (/ 1/2 N) (log (+ 1 (/ 1 N))) (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) (neg (/ (- (/ 1/3 N) 1/2) N)) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))) (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (/ 1 (* (* N N) N)) (* (* N N) N) (pow (/ (/ 1/2 N) N) 3) 3 (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))) (* (/ 1 N) (/ (/ 1/2 N) N)))

rewrite219.0ms (6.2%)

Memory
-10.8MiB live, 224.0MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02921808
03441494
119241365
093611335
Stop Event
iter-limit
node-limit
iter-limit
Counts
114 → 1 096
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
(exp.f64 (neg.f64 (log.f64 N)))
(neg.f64 (log.f64 N))
(log.f64 N)
N
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1/2 binary64) N) N)
(/.f64 #s(literal 1/2 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)))
(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))
(/.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 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64))
(neg.f64 (/.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(literal 1/3 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))
(*.f64 (*.f64 N N) N)
(pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))
#s(approx (log (+ 1 (exp (neg (log N))))) #s(hole binary64 (log (+ 1 (exp (neg (log N)))))))
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (log N)))))
#s(approx (neg (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (log N) #s(hole binary64 (log 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) #s(hole binary64 (/ 1 N)))
#s(approx (/ (/ 1/2 N) N) #s(hole binary64 (/ 1/2 (pow N 2))))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 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 (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) #s(hole binary64 (/ -1/3 (pow N 3))))
#s(approx (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) #s(hole binary64 (/ (- (* 1/2 N) 1/3) (pow N 3))))
#s(approx (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) #s(hole binary64 (/ (- (* N (+ 1/2 (* -1 N))) 1/3) (pow N 3))))
#s(approx (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) #s(hole binary64 (/ -1/3 (pow N 2))))
#s(approx (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) #s(hole binary64 (/ (- (* 1/2 N) 1/3) (pow N 2))))
#s(approx (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) #s(hole binary64 (/ (- (* N (+ 1/2 (* -1 N))) 1/3) (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) #s(hole binary64 (/ -1/8 (pow N 6))))
#s(approx (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) #s(hole binary64 (/ (- (pow N 3) 1/8) (pow N 6))))
#s(approx (/ 1 (* (* N N) N)) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (pow (/ (/ 1/2 N) N) 3) #s(hole binary64 (/ 1/8 (pow N 6))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) #s(hole binary64 (/ 1/4 (pow N 4))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) #s(hole binary64 (/ (+ 1/4 (* 1/2 N)) (pow N 4))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) #s(hole binary64 (/ (+ 1/4 (* N (+ 1/2 N))) (pow N 4))))
#s(approx (/ 1 (* N N)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (* (/ 1 N) (/ (/ 1/2 N) N)) #s(hole binary64 (/ 1/2 (pow N 3))))
#s(approx (log (+ 1 (exp (neg (log N))))) #s(hole binary64 (log (+ 1 (exp (neg (* -1 (log (/ 1 N)))))))))
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (* -1 (log (/ 1 N)))))))
#s(approx (neg (log N)) #s(hole binary64 (log (/ 1 N))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) 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 (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) #s(hole binary64 (/ -1 N)))
#s(approx (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) #s(hole binary64 (/ (- (* 1/2 (/ 1 N)) 1) N)))
#s(approx (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) #s(hole binary64 (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)))
#s(approx (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) #s(hole binary64 -1))
#s(approx (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (neg (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 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 (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) #s(hole binary64 (/ (- 1 (* 1/8 (/ 1 (pow N 3)))) (pow N 3))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) #s(hole binary64 (/ (+ 1 (* 1/2 (/ 1 N))) (pow N 2))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) #s(hole binary64 (/ (+ 1 (+ (/ 1/4 (pow N 2)) (* 1/2 (/ 1 N)))) (pow N 2))))
#s(approx (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))) #s(hole binary64 (/ (+ 1/2 (* 1/4 (/ 1 N))) (pow N 3))))
#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 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (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 (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))))
#s(approx (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))))
#s(approx (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (neg (/ (- (/ 1/3 N) 1/2) N)) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) #s(hole binary64 (* -1 (/ (- (* 1/8 (/ 1 (pow N 3))) 1) (pow N 3)))))
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 N) (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 (neg.f64 (-.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 N) (log.f64 N)))) (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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (*.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)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (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 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 0 binary64))
(+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N)))
(log.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N)))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (neg.f64 (log.f64 N)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N))
(pow.f64 (/.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (+.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (-.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (-.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 N)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 N #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 N #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1 binary64) (/.f64 N #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) N)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(-.f64 (/.f64 (+.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (-.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (/.f64 (-.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (+.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1 binary64) N)))
(fabs.f64 (/.f64 #s(literal 1 binary64) N))
(+.f64 (/.f64 (+.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log.f64 N)))
(*.f64 #s(literal -1 binary64) (log.f64 N))
(*.f64 (log.f64 N) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 N)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 #s(literal 0 binary64) (log.f64 N)))))
(neg.f64 (log.f64 (/.f64 N #s(literal 1 binary64))))
(neg.f64 (log.f64 N))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 N)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 N))
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 N)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) N))
(*.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 (neg.f64 (log.f64 N)))
(log.f64 N)
N
#s(approx (log (+ 1 (/ 1 N))) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N)) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(*.f64 (/.f64 N (neg.f64 N)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
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(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) (*.f64 N N))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 N N) N)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) (*.f64 N N))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 N)) (/.f64 #s(literal -1/2 binary64) N))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) (neg.f64 N)))
(*.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 N)))
(*.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))
(pow.f64 (/.f64 (*.f64 (*.f64 N N) N) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (*.f64 (neg.f64 N) N))
(/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) N)) #s(literal -1 binary64)) (*.f64 N N))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) N))) (*.f64 (/.f64 N #s(literal 1 binary64)) (neg.f64 N)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N (neg.f64 N)))
(/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (*.f64 (neg.f64 N) (/.f64 N #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (*.f64 (neg.f64 N) N))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 N N)))) (neg.f64 N))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) (neg.f64 (*.f64 N N)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 N N))) N)
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) N)) (neg.f64 (*.f64 N N)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (*.f64 (/.f64 N #s(literal 1 binary64)) N))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (*.f64 N (/.f64 N #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (*.f64 N N))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N))) (neg.f64 N))
(/.f64 (/.f64 #s(literal -1/2 binary64) N) (*.f64 N (neg.f64 N)))
(/.f64 (/.f64 #s(literal 1/2 binary64) N) (*.f64 N N))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 N #s(literal 1 binary64)) (neg.f64 (*.f64 N N))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (*.f64 N N)) (/.f64 N #s(literal 1 binary64))))
(/.f64 #s(literal -1/2 binary64) (*.f64 N (neg.f64 (*.f64 N N))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (*.f64 N N)) N))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 N) (*.f64 N N)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 N) (/.f64 N (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 N) (/.f64 (*.f64 N N) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 N (/.f64 #s(literal 1/2 binary64) N)) (neg.f64 N)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 N N) #s(literal 1/2 binary64)) (neg.f64 N)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 N N) N) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) N)
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 N #s(literal 1 binary64)) (*.f64 N N)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 N N) (/.f64 N #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 N) (neg.f64 (*.f64 N N))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 N N)) (neg.f64 N)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 N) (*.f64 N N))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 N N) N))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 N #s(literal 1 binary64)) (/.f64 N (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 N #s(literal 1 binary64)) (/.f64 (*.f64 N N) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 N (/.f64 #s(literal 1/2 binary64) N)) (/.f64 N #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 N (/.f64 N (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (*.f64 N (/.f64 (*.f64 N N) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 N (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 N N) #s(literal 1/2 binary64)) N))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 N N) N) #s(literal 1/2 binary64)))
#s(approx (log (+ 1 (/ 1 N))) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx (neg (log N)) (neg.f64 (log.f64 N)))
#s(approx (log N) (log.f64 N))
#s(approx N N)
#s(approx (log (+ 1 (/ 1 N))) (-.f64 N (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #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)))
#s(approx (- N 1/2) #s(literal -1/2 binary64))
#s(approx (- N 1/2) (-.f64 N #s(literal 1/2 binary64)))
#s(approx (* N N) (*.f64 N N))
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (/ 1/2 N) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
#s(approx (/ 1/2 N) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 N (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 N N) N)))
#s(approx (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)))
#s(approx (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)))
#s(approx (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 N N) N)))
#s(approx (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) (/.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)) (*.f64 (*.f64 N N) N)))
#s(approx (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) (*.f64 (*.f64 N N) N)))
#s(approx (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) (/.f64 #s(literal -1/3 binary64) (*.f64 N N)))
#s(approx (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) (/.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)) (*.f64 N N)))
#s(approx (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) (*.f64 N N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N N)))
#s(approx (- (/ 1/3 N) 1/2) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (- (/ 1/3 N) 1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N))
#s(approx (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))))
#s(approx (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N N) N))) (*.f64 (*.f64 N N) N)))
#s(approx (/ 1 (* (* N N) N)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))
#s(approx (* (* N N) N) (*.f64 (*.f64 N N) N))
#s(approx (pow (/ (/ 1/2 N) N) 3) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) (*.f64 N N))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal 1/4 binary64)) (*.f64 (*.f64 N N) (*.f64 N N))))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal 1/4 binary64)) (*.f64 (*.f64 N N) (*.f64 N N))))
#s(approx (/ 1 (* N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
#s(approx (* (/ 1 N) (/ (/ 1/2 N) N)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 N N) N)))
#s(approx (log (+ 1 (/ 1 N))) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx (neg (log N)) (neg.f64 (log.f64 N)))
#s(approx (log N) (log.f64 N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (log (+ 1 (/ 1 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 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))
#s(approx (- N 1/2) (-.f64 N #s(literal 1/2 binary64)))
#s(approx (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) (/.f64 #s(literal -1 binary64) N))
#s(approx (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
#s(approx (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N))
#s(approx (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) #s(literal -1 binary64))
#s(approx (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))
#s(approx (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))))
#s(approx (neg (/ (- (/ 1/3 N) 1/2) N)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 #s(literal -1/2 binary64) 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 (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N N) N))) (*.f64 (*.f64 N N) N)))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (*.f64 N N)))
#s(approx (+ (/ 1 (* N N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/2 binary64)) (*.f64 (*.f64 N N) N)))
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)))
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.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 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- N 1/2) (*.f64 (neg.f64 N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (log (+ 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 (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) (neg.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N) (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 (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) #s(literal 1 binary64)))
#s(approx (neg (/ (- (/ 1/3 N) 1/2) N)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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 (- (/ 1 (* (* N N) N)) (pow (/ (/ 1/2 N) N) 3)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N N) N))) (*.f64 (*.f64 N N) N)))

eval111.0ms (3.1%)

Memory
28.8MiB live, 117.6MiB allocated; 11ms collecting garbage
Compiler

Compiled 10 995 to 4 427 computations (59.7% saved)

prune37.0ms (1%)

Memory
-17.0MiB live, 37.2MiB allocated; 19ms collecting garbage
Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New8717878
Fresh213
Picked415
Done055
Total87714891
Accuracy
100.0%
Counts
891 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.3%
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
99.6%
(log1p.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))))
27.7%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
92.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
83.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
92.0%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
92.0%
#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)))
91.8%
#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))))
91.9%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (*.f64 N N) N))))
92.1%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (-.f64 N #s(literal 1/2 binary64))))))
91.7%
#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)))))
94.6%
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
94.3%
#s(approx (log (+ 1 (/ 1 N))) #s(approx (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
Compiler

Compiled 298 to 298 computations (0% saved)

series8.0ms (0.2%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Counts
26 → 44
Calls
Call 1
Inputs
(log1p.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
#s(literal 1 binary64)
(*.f64 N N)
N
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))))
#s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
(*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#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)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
(/.f64 #s(literal 1 binary64) N)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (*.f64 N N) N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (*.f64 N N) N)))
(/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (*.f64 N N) N))
(*.f64 (-.f64 N #s(literal 1/2 binary64)) N)
(*.f64 (*.f64 N N) N)
#s(approx (log (+ 1 (/ 1 N))) #s(approx (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) 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))
#s(literal 1/3 binary64)
Outputs
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (sqrt (/ 1 (* N N))) #s(hole binary64 (/ 1 N)))
#s(approx (/ 1 (* N N)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#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 (- 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 (* (- 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 (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) 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 (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 1))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (* (- N 1/2) N) #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 (sqrt (/ 1 (* N N))))) #s(hole binary64 (/ -1 N)))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (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 (+ (* (- 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
3.0ms
N
@-inf
((log (+ 1 (sqrt (/ 1 (* N N))))) (sqrt (/ 1 (* N N))) (/ 1 (* N N)) 1 (* N N) N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (* (- N 1/2) (/ 1 (* N N))) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (* (- 1 (/ 1/2 N)) (/ 1 N)) (- 1 (/ 1/2 N)) (/ 1/2 N) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (* (- N 1/2) N) (* (* N N) N)) (* (- N 1/2) N) (* (* N N) N) (log (+ 1 (/ 1 N))) (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (+ (* (- N 1/2) N) 1/3) 1/3)
2.0ms
N
@0
((log (+ 1 (sqrt (/ 1 (* N N))))) (sqrt (/ 1 (* N N))) (/ 1 (* N N)) 1 (* N N) N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (* (- N 1/2) (/ 1 (* N N))) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (* (- 1 (/ 1/2 N)) (/ 1 N)) (- 1 (/ 1/2 N)) (/ 1/2 N) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (* (- N 1/2) N) (* (* N N) N)) (* (- N 1/2) N) (* (* N N) N) (log (+ 1 (/ 1 N))) (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (+ (* (- N 1/2) N) 1/3) 1/3)
2.0ms
N
@inf
((log (+ 1 (sqrt (/ 1 (* N N))))) (sqrt (/ 1 (* N N))) (/ 1 (* N N)) 1 (* N N) N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (* (- N 1/2) (/ 1 (* N N))) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (* (- 1 (/ 1/2 N)) (/ 1 N)) (- 1 (/ 1/2 N)) (/ 1/2 N) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (* (- N 1/2) N) (* (* N N) N)) (* (- N 1/2) N) (* (* N N) N) (log (+ 1 (/ 1 N))) (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) (/ (+ (* (- N 1/2) N) 1/3) (* (* N N) N)) (+ (* (- N 1/2) N) 1/3) 1/3)

rewrite201.0ms (5.7%)

Memory
-2.2MiB live, 278.7MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188953
0213823
11259817
08107792
Stop Event
iter-limit
node-limit
iter-limit
Counts
70 → 440
Calls
Call 1
Inputs
(log1p.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
#s(literal 1 binary64)
(*.f64 N N)
N
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))))
#s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
(*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#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)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
(/.f64 #s(literal 1 binary64) N)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (*.f64 N N) N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (*.f64 N N) N)))
(/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (*.f64 N N) N))
(*.f64 (-.f64 N #s(literal 1/2 binary64)) N)
(*.f64 (*.f64 N N) N)
#s(approx (log (+ 1 (/ 1 N))) #s(approx (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) 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))
#s(literal 1/3 binary64)
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (sqrt (/ 1 (* N N))) #s(hole binary64 (/ 1 N)))
#s(approx (/ 1 (* N N)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#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 (- 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 (* (- 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 (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) 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 (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 1))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (* (- N 1/2) N) #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 (sqrt (/ 1 (* N N))))) #s(hole binary64 (/ -1 N)))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (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 (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 N)))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (fabs.f64 N))))))
(+.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 N)))
(pow.f64 (fabs.f64 N) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (*.f64 N N))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (sqrt.f64 N))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fabs.f64 N)))
(/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 N)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 N N) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 N))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) N)) (fabs.f64 (/.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N))) (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N))))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) N)) (neg.f64 (/.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 #s(literal 1 binary64) (fabs.f64 N)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (*.f64 N N) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 N N) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64))
(pow.f64 N #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal 2 binary64) N))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) N)) (neg.f64 N))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 N N))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 N N) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 N N)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 N) (/.f64 N #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 N #s(literal 1 binary64)) (neg.f64 N)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 N) N))
(/.f64 #s(literal -1 binary64) (*.f64 N (neg.f64 N)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 N N) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 N N)))
(/.f64 (/.f64 #s(literal 1 binary64) N) N)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 N #s(literal 1 binary64)) N))
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(*.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N))) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (neg.f64 N) (-.f64 N #s(literal 1/2 binary64))) (*.f64 (neg.f64 N) (-.f64 N #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 N) (-.f64 N #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal -1/3 binary64)))))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 (neg.f64 N) (-.f64 N #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 (neg.f64 N) (-.f64 N #s(literal 1/2 binary64))) (*.f64 (neg.f64 N) (-.f64 N #s(literal 1/2 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 N) (-.f64 N #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 (neg.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64))))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N))) (+.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N))) (-.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) #s(literal 1/9 binary64)) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal -1/3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)))))
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))
(fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N))) (/.f64 (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (-.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N))))
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64))))
(-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal -1/3 binary64))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 N) (-.f64 N #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)))
(+.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N))))) (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64))))))
(+.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(literal 1/3 binary64)
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) (neg.f64 (log.f64 N)))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) (-.f64 N (log.f64 N)))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (log (+ 1 (sqrt (/ 1 (* N 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 (sqrt (/ 1 (* N N))) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ 1 (* N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
#s(approx (* N N) (*.f64 N N))
#s(approx N 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 (/ (- 1 (/ 1/2 N)) N) (/.f64 #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)))
#s(approx (- N 1/2) #s(literal -1/2 binary64))
#s(approx (- N 1/2) (-.f64 N #s(literal 1/2 binary64)))
#s(approx (- 1 (/ 1/2 N)) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(approx (/ 1/2 N) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (* (- N 1/2) N) (*.f64 #s(literal -1/2 binary64) N))
#s(approx (* (- N 1/2) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(approx (* (* N N) N) (*.f64 (*.f64 N N) N))
#s(approx (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 N N) N)))
#s(approx (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)))
#s(approx (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (- N 1/2) N) 1/3) (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)))
#s(approx (+ (* (- N 1/2) N) 1/3) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (log (+ 1 (sqrt (/ 1 (* 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))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))
#s(approx (- N 1/2) (-.f64 N #s(literal 1/2 binary64)))
#s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64))
#s(approx (- 1 (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
#s(approx (* (- N 1/2) N) (*.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
#s(approx (+ (* (- N 1/2) N) 1/3) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) (/.f64 #s(literal -1 binary64) N))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N)) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (sqrt (/ 1 (* N N))))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (- N 1/2) (neg.f64 (*.f64 (-.f64 (/.f64 #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 #s(literal 1/3 binary64) N)) 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 (+ (* (- 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))))

eval57.0ms (1.6%)

Memory
30.2MiB live, 125.0MiB allocated; 16ms collecting garbage
Compiler

Compiled 5 198 to 2 255 computations (56.6% saved)

prune17.0ms (0.5%)

Memory
-6.2MiB live, 39.4MiB allocated; 5ms collecting garbage
Pruning

15 alts after pruning (5 fresh and 10 done)

PrunedKeptTotal
New5332535
Fresh033
Picked145
Done066
Total53415549
Accuracy
100.0%
Counts
549 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.3%
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
99.5%
(log1p.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (sqrt.f64 N)))
99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
99.6%
(log1p.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))))
27.7%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
92.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
83.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
92.0%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
91.8%
#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))))
91.9%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (*.f64 N N) N))))
92.1%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (-.f64 N #s(literal 1/2 binary64))))))
91.9%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) N) N))))
91.7%
#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)))))
94.6%
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
94.3%
#s(approx (log (+ 1 (/ 1 N))) #s(approx (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
Compiler

Compiled 382 to 317 computations (17% saved)

regimes16.0ms (0.4%)

Memory
-13.2MiB live, 32.1MiB allocated; 5ms 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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log.f64 (/.f64 (-.f64 N #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 #s(literal 1 binary64) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (-.f64 N #s(literal 1/2 binary64))))))
#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)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 (*.f64 N N) N))))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
#s(approx (log (+ 1 (/ 1 N))) #s(approx (neg (/ (- (neg (/ (- (/ 1/3 N) 1/2) N)) 1) 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 (+ 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)))
(log1p.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
(neg.f64 #s(approx (log (/ N (- N -1))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N)))
(log1p.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (sqrt.f64 N)))
(log1p.f64 (exp.f64 (neg.f64 (log.f64 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 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 N N) N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))))))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
Calls

2 calls:

9.0ms
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)

regimes7.0ms (0.2%)

Memory
18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Counts
12 → 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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log.f64 (/.f64 (-.f64 N #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 #s(literal 1 binary64) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (-.f64 N #s(literal 1/2 binary64))))))
#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)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))))
Outputs
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))))
Calls

2 calls:

4.0ms
N
3.0ms
(-.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)

regimes9.0ms (0.3%)

Memory
-29.6MiB live, 16.0MiB allocated; 5ms collecting garbage
Counts
11 → 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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log.f64 (/.f64 (-.f64 N #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 #s(literal 1 binary64) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (-.f64 N #s(literal 1/2 binary64))))))
#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)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
Outputs
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
Calls

2 calls:

5.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
3.0ms
N
Results
AccuracySegmentsBranch
97.9%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
97.9%2N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.2%)

Memory
12.3MiB live, 12.3MiB 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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log.f64 (/.f64 (-.f64 N #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 #s(literal 1 binary64) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (-.f64 N #s(literal 1/2 binary64))))))
#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)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
Outputs
(log.f64 (/.f64 (-.f64 N #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))
Calls

2 calls:

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

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB 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 (-.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:

1.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
92.1%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
92.1%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB 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
91.8%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
91.8%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB 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
83.6%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
83.6%1N
Compiler

Compiled 7 to 7 computations (0% saved)

bsearch18.0ms (0.5%)

Memory
-32.7MiB live, 18.3MiB allocated; 12ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
141002.20724171423
317228.7015551499
Samples
14.0ms80×1valid
Compiler

Compiled 105 to 113 computations (-7.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-log1p: 9.0ms (72.3% of total)
adjust: 1.0ms (8% of total)
ival-log: 1.0ms (8% of total)
ival-sub!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
141002.20724171423
317228.7015551499
Compiler

Compiled 100 to 108 computations (-8% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
141002.20724171423
317228.7015551499
Compiler

Compiled 95 to 103 computations (-8.4% saved)

derivations171.0ms (4.8%)

Memory
29.4MiB live, 167.4MiB allocated; 13ms collecting garbage
Stop Event
fuel
Compiler

Compiled 51 to 41 computations (19.6% saved)

preprocess114.0ms (3.2%)

Memory
-29.3MiB live, 125.4MiB allocated; 54ms collecting garbage
Compiler

Compiled 91 to 75 computations (17.6% saved)

end0.0ms (0%)

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

Profiling

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