2log (problem 3.3.6)

Time bar (total: 2.7s)

start0.0ms (0%)

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

analyze0.0ms (0%)

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

Compiled 15 to 10 computations (33.3% saved)

sample1.6s (58%)

Memory
-284.6MiB live, 1 103.5MiB allocated; 908ms collecting garbage
Samples
1.3s7 462×1valid
52.0ms794×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-log1p: 701.0ms (60% of total)
ival-log: 292.0ms (25% of total)
adjust: 137.0ms (11.7% of total)
ival-sub!: 38.0ms (3.3% of total)
Bogosity

preprocess65.0ms (2.4%)

Memory
-35.9MiB live, 9.9MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01226
11626
21926
33326
47626
532124
6282024
7622324
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶24.0%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 12 to 12 computations (0% saved)

series47.0ms (1.7%)

Memory
24.7MiB live, 70.6MiB allocated; 3ms collecting garbage
Counts
6 → 31
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(log.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(log.f64 N)
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (+ N 1)) #s(hole binary64 N))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (+ N 1)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
Calls

3 calls:

TimeVariablePointExpression
22.0ms
N
@0
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
19.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
6.0ms
N
@inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

rewrite188.0ms (6.9%)

Memory
23.6MiB live, 164.3MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval9.0ms (0.3%)

Memory
-32.9MiB live, 13.5MiB allocated; 2ms collecting garbage
Compiler

Compiled 594 to 284 computations (52.2% saved)

prune4.0ms (0.2%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New68674
Fresh000
Picked101
Done000
Total69675
Accuracy
99.9%
Counts
75 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶26.4%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
▶91.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶94.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
▶84.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Compiler

Compiled 132 to 128 computations (3% saved)

series8.0ms (0.3%)

Memory
12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Counts
21 → 78
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)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
Outputs
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ -1/2 N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (log N))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ (- N -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- N -1) N) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 1))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ 1 N)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- N -1) N) #s(hole binary64 1))
#s(approx (/ (- N -1) N) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 1))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
Calls

3 calls:

TimeVariablePointExpression
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 (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3)
2.0ms
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 (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3)
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 (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3)

rewrite168.0ms (6.2%)

Memory
11.1MiB live, 154.3MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01911381
02091237
17881172
063501160
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
99 → 450
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)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ -1/2 N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (log N))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ (- N -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- N -1) N) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 1))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ 1 N)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- N -1) N) #s(hole binary64 1))
#s(approx (/ (- N -1) N) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 1))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (/ (- N -1) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))) (neg.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
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(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
(fma.f64 N (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 (*.f64 #s(literal 1/2 binary64) N) (*.f64 N N)))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) N))
(+.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (/.f64 #s(literal -1/2 binary64) N))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 N N)))) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 N N) N)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 N N) N)) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/6 binary64) N))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 N N)))) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 N N) N)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64))) N)
(/.f64 (fma.f64 #s(literal -1/3 binary64) N (*.f64 (neg.f64 N) (*.f64 #s(literal -1/2 binary64) N))) (*.f64 (neg.f64 N) N))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N (*.f64 (*.f64 N N) #s(literal -1/2 binary64))) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 N N))) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 N N))) (*.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 N N) N))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1/8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/6 binary64) N)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 N N) N) #s(literal 1/27 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) N) (-.f64 (*.f64 #s(literal -1/2 binary64) N) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) N))
(/.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)) (neg.f64 N))
(/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N)
(neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)) N))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (neg.f64 N)))
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))))
(neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/3 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N) #s(literal -1/2 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 N N) N)) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/6 binary64) N))) (/.f64 #s(literal 1/8 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/6 binary64) N))))
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 (*.f64 #s(literal 1/2 binary64) N) N))
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal -1 binary64)))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) N)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))
(*.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal -1/3 binary64) (neg.f64 N))
(/.f64 #s(literal 1/3 binary64) N)
(neg.f64 (/.f64 #s(literal -1/3 binary64) N))
#s(literal 1/3 binary64)
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (log.f64 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 N) (/.f64 #s(literal 1 binary64) N))
#s(approx N N)
#s(approx (log (+ 1 (/ 1 N))) (neg.f64 (log.f64 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 (- 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 (log (+ 1 (/ 1 N))) (neg.f64 (log.f64 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 (/ (- N -1) N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (- N -1) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
#s(approx (- N -1) #s(literal 1 binary64))
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 N N) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N)))
#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 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (- (/ 1/3 N) 1/2) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (- (/ 1/3 N) 1/2) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))
#s(approx (/ 1/3 N) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #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 (- 1 (/ 1/2 N)) #s(literal 1 binary64))
#s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))
#s(approx (/ (- N -1) N) #s(literal 1 binary64))
#s(approx (/ (- N -1) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
#s(approx (- N -1) N)
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(literal 1 binary64))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)))
#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) #s(literal -1/2 binary64))
#s(approx (- (/ 1/3 N) 1/2) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))

eval46.0ms (1.7%)

Memory
-16.1MiB live, 76.1MiB allocated; 7ms collecting garbage
Compiler

Compiled 3 653 to 1 671 computations (54.3% saved)

prune13.0ms (0.5%)

Memory
26.3MiB live, 26.3MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New4039412
Fresh011
Picked145
Done000
Total40414418
Accuracy
100.0%
Counts
418 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(log1p.f64 (/.f64 N (*.f64 N N)))
✓99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
99.2%
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
95.3%
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
✓26.4%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
26.4%
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
91.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
▶91.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
▶95.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
▶94.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
91.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
✓91.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶84.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
✓84.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Compiler

Compiled 234 to 228 computations (2.6% saved)

series70.0ms (2.6%)

Memory
-38.8MiB live, 17.3MiB allocated; 76ms collecting garbage
Counts
29 → 111
Calls
Call 1
Inputs
(log1p.f64 (/.f64 N (*.f64 N N)))
(/.f64 N (*.f64 N N))
N
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N)
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N))
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
(neg.f64 N)
#s(literal 1 binary64)
Outputs
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ N (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (/ (- N 1/2) N) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (/ (- N 1/2) N) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (/ (- N 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- N 1/2) N) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3))))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ 1/4 N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (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 (/ (/ (- N 1/2) N) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (/ (- N 1/2) N) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- N 1/2) N) #s(hole binary64 1))
#s(approx (/ (- N 1/2) N) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- N 1/2) #s(hole binary64 N))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 1))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 -1))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 -1/3))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (- (* 1/4 (/ 1 N)) 1/3)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (/ (- N 1/2) N) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
Calls

3 calls:

TimeVariablePointExpression
63.0ms
N
@0
((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (/ (- N 1/2) N) N) (/ (- N 1/2) N) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 -1 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (/ (- (/ 1/4 N) 1/3) (neg N)) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 (neg N) 1)
3.0ms
N
@-inf
((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (/ (- N 1/2) N) N) (/ (- N 1/2) N) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 -1 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (/ (- (/ 1/4 N) 1/3) (neg N)) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 (neg N) 1)
3.0ms
N
@inf
((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (/ (- N 1/2) N) N) (/ (- N 1/2) N) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (- (/ (- (/ 1/3 N) 1/2) N) -1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 -1 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (/ (- (/ 1/4 N) 1/3) (neg N)) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 (neg N) 1)

rewrite158.0ms (5.8%)

Memory
8.9MiB live, 199.9MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02792363
03132207
111862130
086422095
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
140 → 380
Calls
Call 1
Inputs
(log1p.f64 (/.f64 N (*.f64 N N)))
(/.f64 N (*.f64 N N))
N
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N)
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N))
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
(neg.f64 N)
#s(literal 1 binary64)
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ N (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (/ (- N 1/2) N) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (/ (- N 1/2) N) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (/ (- N 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- N 1/2) N) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3))))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ 1/4 N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (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 (/ (/ (- N 1/2) N) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (/ (- N 1/2) N) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- N 1/2) N) #s(hole binary64 1))
#s(approx (/ (- N 1/2) N) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- N 1/2) #s(hole binary64 N))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 1))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 -1))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 -1/3))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (- (* 1/4 (/ 1 N)) 1/3)))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (/ N (* N N)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (/ (- N 1/2) N) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) 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))) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))))
(/.f64 (*.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64))) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64)))))))
(-.f64 (/.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (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))) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))) (/.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))) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))))))
(-.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 #s(literal 1 binary64) (/.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))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(pow.f64 N #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 N)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) N)))
(/.f64 (*.f64 #s(literal 2 binary64) N) (*.f64 #s(literal 2 binary64) (*.f64 N N)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N))
(/.f64 (neg.f64 N) (*.f64 (neg.f64 N) N))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(neg.f64 (/.f64 (neg.f64 N) (*.f64 N N)))
(neg.f64 (/.f64 N (*.f64 (neg.f64 N) N)))
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(exp.f64 (neg.f64 (log.f64 N)))
N
(*.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)))
(*.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)))
(*.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)))
(*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))
(*.f64 (fabs.f64 N) (fabs.f64 N))
(*.f64 (*.f64 N N) #s(literal 1 binary64))
(*.f64 (neg.f64 N) (neg.f64 N))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 N) N))
(*.f64 #s(literal 1 binary64) (*.f64 N N))
(*.f64 N N)
(pow.f64 (exp.f64 (log.f64 N)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 N) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal 1 binary64))
(pow.f64 (neg.f64 N) #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 N) N))
(fabs.f64 (*.f64 N N))
(+.f64 (cosh.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.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 N N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 N N) N) N))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 N N) N) N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N))
(/.f64 (-.f64 (*.f64 N N) (*.f64 #s(literal 1/2 binary64) N)) (*.f64 (*.f64 N N) N))
(/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 #s(literal 1/2 binary64) N))) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 N (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 N) N) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal 1/2 binary64))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N))
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#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 N)))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)))

eval38.0ms (1.4%)

Memory
24.8MiB live, 70.6MiB allocated; 3ms collecting garbage
Compiler

Compiled 4 015 to 1 776 computations (55.8% saved)

prune16.0ms (0.6%)

Memory
-22.6MiB live, 23.6MiB allocated; 3ms collecting garbage
Pruning

15 alts after pruning (7 fresh and 8 done)

PrunedKeptTotal
New3802382
Fresh055
Picked145
Done044
Total38115396
Accuracy
100.0%
Counts
396 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.5%
(log1p.f64 (/.f64 N (*.f64 N N)))
✓99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶99.2%
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
95.3%
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
✓26.4%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
▶26.4%
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
▶91.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
✓91.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
✓94.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
▶95.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal -1/2 binary64) N))) N))
▶91.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
✓91.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
✓84.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
✓84.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Compiler

Compiled 249 to 243 computations (2.4% saved)

series12.0ms (0.4%)

Memory
20.2MiB live, 20.2MiB allocated; 0ms collecting garbage
Counts
33 → 124
Calls
Call 1
Inputs
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(pow.f64 N #s(literal -1/2 binary64))
N
#s(literal -1/2 binary64)
#s(approx (- (log (+ N 1)) (log 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)
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
(/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))
(fma.f64 N N #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(-.f64 N #s(literal -1/2 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
(/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N))
(-.f64 (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N))
(-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
(neg.f64 N)
Outputs
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (/ 1 N)))
#s(approx (pow N -1/2) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx N #s(hole binary64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (* -1 (log N))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (+ (* N N) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* N N) -1/4) #s(hole binary64 (- (pow N 2) 1/4)))
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* 1/2 (pow N 2))))
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1/2 N))))
#s(approx (- N -1/2) #s(hole binary64 1/2))
#s(approx (- N -1/2) #s(hole binary64 (+ 1/2 N)))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3))))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (/ -1/4 N)))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- N 1/2) #s(hole binary64 N))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (/ 1 N)))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (/ 1 N) -1) #s(hole binary64 1))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (+ (* N N) -1/4) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) -1/4) #s(hole binary64 (* (pow N 2) (- 1 (* 1/4 (/ 1 (pow N 2)))))))
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (pow N 3)))
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* (pow N 3) (+ 1 (* 1/2 (/ 1 N))))))
#s(approx (- N -1/2) #s(hole binary64 N))
#s(approx (- N -1/2) #s(hole binary64 (* N (+ 1 (* 1/2 (/ 1 N))))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 -1))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 1/3))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (- 1/3 (* 1/4 (/ 1 N)))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (pow N -1/2) #s(hole binary64 (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
Calls

3 calls:

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

rewrite69.0ms (2.5%)

Memory
-21.5MiB live, 77.1MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03412623
03732342
015882303
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
157 → 226
Calls
Call 1
Inputs
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(pow.f64 N #s(literal -1/2 binary64))
N
#s(literal -1/2 binary64)
#s(approx (- (log (+ N 1)) (log 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)
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
(/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))
(fma.f64 N N #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(-.f64 N #s(literal -1/2 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
(/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N))
(-.f64 (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N))
(-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
(neg.f64 N)
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (/ 1 N)))
#s(approx (pow N -1/2) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx N #s(hole binary64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (* -1 (log N))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (+ (* N N) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* N N) -1/4) #s(hole binary64 (- (pow N 2) 1/4)))
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* 1/2 (pow N 2))))
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1/2 N))))
#s(approx (- N -1/2) #s(hole binary64 1/2))
#s(approx (- N -1/2) #s(hole binary64 (+ 1/2 N)))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3))))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (/ -1/4 N)))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- N 1/2) #s(hole binary64 N))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (/ 1 N)))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (/ 1 N) -1) #s(hole binary64 1))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (+ (* N N) -1/4) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) -1/4) #s(hole binary64 (* (pow N 2) (- 1 (* 1/4 (/ 1 (pow N 2)))))))
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (pow N 3)))
#s(approx (* (- N -1/2) (* N N)) #s(hole binary64 (* (pow N 3) (+ 1 (* 1/2 (/ 1 N))))))
#s(approx (- N -1/2) #s(hole binary64 N))
#s(approx (- N -1/2) #s(hole binary64 (* N (+ 1 (* 1/2 (/ 1 N))))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 -1))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 1/3))
#s(approx (- 1/3 (/ 1/4 N)) #s(hole binary64 (- 1/3 (* 1/4 (/ 1 N)))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (* (pow N -1/2) (pow N -1/2)) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (pow N -1/2) #s(hole binary64 (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (- (/ 1 N) -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) N)
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -1/4 binary64)))
(pow.f64 N #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 N) #s(literal -1/2 binary64)))
N
#s(literal -1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)
(/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) (neg.f64 (*.f64 N N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(-.f64 (/.f64 N (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal 1/8 binary64)) (fma.f64 N N (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) N))))
(/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) N))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 N #s(literal 1 binary64)) (pow.f64 N #s(literal 1 binary64)))
(*.f64 (fabs.f64 N) (fabs.f64 N))
(*.f64 (neg.f64 N) (neg.f64 N))
(*.f64 N N)
(pow.f64 N #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) N)
(neg.f64 (/.f64 #s(literal -1 binary64) N))
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) N) N)))
(/.f64 (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (-.f64 N #s(literal -1/2 binary64))) (*.f64 N N))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1/4 binary64))) (neg.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) N) N)))
(/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) N) N))
(+.f64 (/.f64 (*.f64 N N) (*.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) N) N)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) N) N)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) #s(literal 1/16 binary64)) (-.f64 (*.f64 N N) #s(literal -1/4 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 N N) #s(literal 3 binary64)) #s(literal -1/64 binary64)) (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 N N) #s(literal -1/4 binary64)))))
(fma.f64 (pow.f64 N #s(literal 1 binary64)) (pow.f64 N #s(literal 1 binary64)) #s(literal -1/4 binary64))
(fma.f64 (fabs.f64 N) (fabs.f64 N) #s(literal -1/4 binary64))
(fma.f64 (neg.f64 N) (neg.f64 N) #s(literal -1/4 binary64))
(fma.f64 N N #s(literal -1/4 binary64))
(+.f64 (*.f64 N N) #s(literal -1/4 binary64))
(+.f64 #s(literal -1/4 binary64) (*.f64 N N))
#s(literal -1/4 binary64)
(*.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) N) N)
(*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(*.f64 (*.f64 N N) (-.f64 N #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1/8 binary64)) (fma.f64 N N (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) N))))
(/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (+.f64 N #s(literal -1/2 binary64)))
(-.f64 N #s(literal -1/2 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
(/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64))) (neg.f64 (neg.f64 N)))
(/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N))
(neg.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) N))
(-.f64 (/.f64 (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N)) (neg.f64 N)) (/.f64 #s(literal -1 binary64) N))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N)) (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N))) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N)) (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 N)))
(/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N))
(neg.f64 (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) N))
(-.f64 (/.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (neg.f64 N)) (/.f64 #s(literal 1/2 binary64) (neg.f64 N)))
(/.f64 (-.f64 (*.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) #s(literal 1/4 binary64)) (+.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)))))
(-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))
(/.f64 (neg.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) (neg.f64 N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 (/.f64 #s(literal 1/4 binary64) N) N))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) N) (/.f64 #s(literal 1/4 binary64) N))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) N) (/.f64 #s(literal 1/4 binary64) N) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))))
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) N)))
#s(literal 1/3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1/4 binary64) N)
(/.f64 #s(literal -1/4 binary64) (neg.f64 N))
#s(literal 1/4 binary64)
(*.f64 #s(literal -1 binary64) N)
(*.f64 N #s(literal -1 binary64))
(neg.f64 N)
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (neg.f64 (log.f64 N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (+.f64 (neg.f64 (log.f64 N)) N))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))))
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))
#s(approx N 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 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
#s(approx (/ (- N 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 (log (- (/ 1 N) -1)) (neg.f64 (log.f64 N)))
#s(approx (log (- (/ 1 N) -1)) (+.f64 (neg.f64 (log.f64 N)) N))
#s(approx (log (- (/ 1 N) -1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))))
#s(approx (log (- (/ 1 N) -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))))
#s(approx (- (/ 1 N) -1) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (/ 1 N) -1) (/.f64 (+.f64 #s(literal 1 binary64) N) N))
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (+ (* N N) -1/4) #s(literal -1/4 binary64))
#s(approx (+ (* N N) -1/4) (-.f64 (*.f64 N N) #s(literal 1/4 binary64)))
#s(approx (* (- N -1/2) (* N N)) (*.f64 (*.f64 N N) #s(literal 1/2 binary64)))
#s(approx (* (- N -1/2) (* N N)) (*.f64 (+.f64 #s(literal 1/2 binary64) N) (*.f64 N N)))
#s(approx (- N -1/2) #s(literal 1/2 binary64))
#s(approx (- N -1/2) (+.f64 #s(literal 1/2 binary64) N))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 N N) (*.f64 N N))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (*.f64 (*.f64 N N) (*.f64 N N))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N) #s(literal 1/4 binary64)) (*.f64 (*.f64 N N) (*.f64 N N))))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal 1/4 binary64)) (*.f64 (*.f64 N N) (*.f64 N N))))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 (*.f64 N N) N)))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) N) #s(literal 1/3 binary64)) N #s(literal 1/4 binary64)) (*.f64 (*.f64 N N) N)))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (/.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (neg.f64 N) #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)) N #s(literal 1/4 binary64)) (*.f64 (*.f64 N N) N)))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 (*.f64 N N) N)))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) N) #s(literal 1/3 binary64)) N #s(literal 1/4 binary64)) (*.f64 (*.f64 N N) N)))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N)))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (*.f64 N N)))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N) #s(literal 1/4 binary64)) (*.f64 N N)))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 #s(literal -1/4 binary64) (*.f64 N N)))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (*.f64 N N)))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) (/.f64 #s(literal -1/4 binary64) (*.f64 N N)))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (*.f64 N N)))
#s(approx (- 1/3 (/ 1/4 N)) (/.f64 #s(literal -1/4 binary64) N))
#s(approx (- 1/3 (/ 1/4 N)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) N))
#s(approx (/ 1/4 N) (/.f64 #s(literal 1/4 binary64) N))
#s(approx (neg N) (neg.f64 N))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (/.f64 #s(literal 1 binary64) N))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (/.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 (* (pow N -1/2) (pow N -1/2)))) (/.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 (- (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 (/.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) (* N N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- N 1/2) N)
#s(approx (- N 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (log (- (/ 1 N) -1)) (/.f64 #s(literal 1 binary64) N))
#s(approx (log (- (/ 1 N) -1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (log (- (/ 1 N) -1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (log (- (/ 1 N) -1)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))
#s(approx (- (/ 1 N) -1) #s(literal 1 binary64))
#s(approx (- (/ 1 N) -1) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (+ (* N N) -1/4) (*.f64 N N))
#s(approx (+ (* N N) -1/4) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) (*.f64 N N)))
#s(approx (* (- N -1/2) (* N N)) (*.f64 (*.f64 N N) N))
#s(approx (* (- N -1/2) (* N N)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (*.f64 (*.f64 N N) N)))
#s(approx (- N -1/2) N)
#s(approx (- N -1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg 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 (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg 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 (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) #s(literal -1 binary64))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg 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 (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/3 binary64) N)) N))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))
#s(approx (- 1/3 (/ 1/4 N)) #s(literal 1/3 binary64))
#s(approx (- 1/3 (/ 1/4 N)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (/.f64 #s(literal 1 binary64) N))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N)) #s(literal -1 binary64)) N)))
#s(approx (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal -1 binary64)) N)))
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx (pow N -1/2) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (- N 1/2) (* N N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (- N 1/2) (*.f64 (neg.f64 N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))))
#s(approx (log (- (/ 1 N) -1)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (log (- (/ 1 N) -1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (log (- (/ 1 N) -1)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (+ (* N N) -1/4) (* (- N -1/2) (* N N))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)))
#s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)))
#s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)))
#s(approx (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)))
#s(approx (/ (- 1/3 (/ 1/4 N)) N) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)))

eval21.0ms (0.8%)

Memory
-9.7MiB live, 36.1MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 103 to 896 computations (57.4% saved)

prune11.0ms (0.4%)

Memory
21.8MiB live, 21.8MiB allocated; 0ms collecting garbage
Pruning

15 alts after pruning (4 fresh and 11 done)

PrunedKeptTotal
New2013204
Fresh112
Picked235
Done088
Total20415219
Accuracy
100.0%
Counts
219 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.5%
(log1p.f64 (/.f64 N (*.f64 N N)))
✓99.8%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
99.3%
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
95.3%
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
✓26.4%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
✓26.4%
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
✓91.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
✓94.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
✓95.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
✓91.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
✓91.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
95.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (/.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (neg.f64 N) #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)) N #s(literal 1/4 binary64)) (*.f64 (*.f64 N N) N))) (neg.f64 N)))
92.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* N N) -1/4) (*.f64 N N)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
✓84.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
✓84.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Compiler

Compiled 337 to 290 computations (13.9% saved)

regimes12.0ms (0.4%)

Memory
-28.4MiB live, 18.3MiB allocated; 2ms collecting garbage
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* N N) -1/4) (*.f64 N N)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
(log1p.f64 (/.f64 N (*.f64 N N)))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (*.f64 (-.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (/.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (neg.f64 N) #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)) N #s(literal 1/4 binary64)) (*.f64 (*.f64 N N) N))) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal -1/2 binary64) N))) N))
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
Calls

2 calls:

6.0ms
N
6.0ms
(-.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)

regimes5.0ms (0.2%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
Calls

2 calls:

2.0ms
N
2.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
97.8%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
97.8%2N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
Calls

2 calls:

2.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
91.9%1N
91.9%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
Outputs
#s(approx (- (log (+ N 1)) (log 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
91.7%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
91.7%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
Accuracy

Total -0.2b remaining (-1.5%)

Threshold costs -0.2b (-1.5%)

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

2 calls:

1.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
84.3%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
84.3%1N
Compiler

Compiled 7 to 7 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.060693258978176e-6
7.668302679064709e-6
Compiler

Compiled 9 to 10 computations (-11.1% saved)

derivations131.0ms (4.8%)

Memory
-26.9MiB live, 116.2MiB allocated; 8ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 35 to 29 computations (17.1% saved)

preprocess46.0ms (1.7%)

Memory
44.2MiB live, 90.4MiB allocated; 4ms collecting garbage
Compiler

Compiled 75 to 63 computations (16% saved)

end0.0ms (0%)

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

Profiling

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