2log (problem 3.3.6)

Time bar (total: 2.3s)

start0.0ms (0%)

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

analyze0.0ms (0%)

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

Compiled 15 to 10 computations (33.3% saved)

sample1.2s (54%)

Memory
50.5MiB live, 1 023.0MiB allocated; 286ms collecting garbage
Samples
1.0s7 467×1valid
31.0ms789×0valid
Precisions
Click to see histograms. Total time spent on operations: 813.0ms
ival-log: 318.0ms (39.1% of total)
ival-log1p: 295.0ms (36.3% of total)
adjust: 141.0ms (17.3% of total)
ival-sub!: 59.0ms (7.3% of total)
Bogosity

preprocess45.0ms (2%)

Memory
-39.3MiB live, 15.5MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01223
12123
24419
315018
4111118
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶23.3%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 12 to 12 computations (0% saved)

series45.0ms (1.9%)

Memory
40.6MiB live, 40.6MiB allocated; 0ms 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))
17.0ms
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))

rewrite209.0ms (9.1%)

Memory
-24.0MiB live, 159.7MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126516
0131453
1715428
06892369
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 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (*.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64)) N) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 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))))

eval7.0ms (0.3%)

Memory
14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 593 to 283 computations (52.3% saved)

prune5.0ms (0.2%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New67673
Fresh000
Picked101
Done000
Total68674
Accuracy
100.0%
Counts
74 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶26.0%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
96.7%
#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)))
▶92.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶95.0%
#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))
▶84.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Compiler

Compiled 132 to 128 computations (3% saved)

series13.0ms (0.6%)

Memory
-29.1MiB live, 15.4MiB allocated; 9ms 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)

rewrite275.0ms (11.9%)

Memory
-9.9MiB live, 151.2MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01911381
02091237
17891172
063071160
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))))
(/.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)))))))
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(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 (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 (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 (-.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 1/4 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 (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 (-.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 1/2 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 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #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 (fma.f64 #s(literal 1/2 binary64) N #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 1/9 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 (/.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 #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 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) N)))
(+.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 1/3 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))

eval55.0ms (2.4%)

Memory
8.9MiB live, 53.8MiB allocated; 6ms collecting garbage
Compiler

Compiled 3 636 to 1 659 computations (54.4% saved)

prune12.0ms (0.5%)

Memory
22.0MiB live, 22.0MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New4017408
Fresh011
Picked235
Done000
Total40311414
Accuracy
100.0%
Counts
414 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(log1p.f64 (/.f64 N (*.f64 N N)))
✓99.9%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶99.3%
(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
▶26.0%
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
96.7%
#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)))
▶95.0%
#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))
91.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
✓92.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶84.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
✓84.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
92.2%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
Compiler

Compiled 195 to 189 computations (3.1% saved)

series8.0ms (0.3%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Counts
22 → 82
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)))
(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 (-.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 1/2 binary64)
(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))
#s(literal -1/2 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 (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 (/ (- (/ (- (/ 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 (* (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 (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 (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 (/ (- (/ (- (/ 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 (* (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 (+ 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 (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 (/ (- (/ (- (/ 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 (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))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
N
@-inf
((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (log (- (/ 1 N) -1)) (- (/ 1 N) -1) (/ 1 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 1/2 (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) -1/2)
2.0ms
N
@0
((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (log (- (/ 1 N) -1)) (- (/ 1 N) -1) (/ 1 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 1/2 (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) -1/2)
1.0ms
N
@inf
((log (+ 1 (/ N (* N N)))) (/ N (* N N)) N (* N N) (- (log (+ N 1)) (log N)) (log (- (/ 1 N) -1)) (- (/ 1 N) -1) (/ 1 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 1/2 (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) -1/2)

rewrite76.0ms (3.3%)

Memory
-25.5MiB live, 21.7MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02331603
02561362
010641325
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
104 → 150
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)))
(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 (-.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 1/2 binary64)
(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))
#s(literal -1/2 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 (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 (/ (- (/ (- (/ 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 (* (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 (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 (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 (/ (- (/ (- (/ 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 (* (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 (+ 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 (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 (/ (- (/ (- (/ 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 (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))))
Outputs
(log1p.f64 (/.f64 N (*.f64 N N)))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (*.f64 N N))))
(/.f64 (/.f64 N N) N)
(/.f64 (neg.f64 N) (neg.f64 (*.f64 N N)))
(/.f64 N (*.f64 N N))
N
(*.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)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
(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 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (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)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N))
(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 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) (neg.f64 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) N) (/.f64 #s(literal -1 binary64) N))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) (neg.f64 N))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 #s(literal 1/3 binary64) N)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 #s(literal 1/3 binary64) N) (+.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) #s(literal 1/2 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 (/.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)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
(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 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (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)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N))
(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)))
#s(literal -1/2 binary64)
#s(approx (log (+ 1 (/ N (* N N)))) (neg.f64 (log.f64 N)))
#s(approx (log (+ 1 (/ N (* N N)))) (+.f64 (neg.f64 (log.f64 N)) N))
#s(approx (log (+ 1 (/ N (* N N)))) (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 (* N N)))) (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 (/ N (* N N)) (/.f64 #s(literal 1 binary64) N))
#s(approx N N)
#s(approx (* N N) (*.f64 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 (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 (/ (- (/ (- (/ 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 (fma.f64 #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) 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 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N 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 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N N)))
#s(approx (- (/ 1/3 N) 1/2) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (- (/ 1/3 N) 1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N))
#s(approx (/ 1/3 N) (/.f64 #s(literal 1/3 binary64) 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 (log (+ 1 (/ N (* N N)))) (/.f64 #s(literal 1 binary64) N))
#s(approx (log (+ 1 (/ N (* N N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (log (+ 1 (/ N (* N N)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (log (+ 1 (/ N (* N N)))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 N N) N))) N))
#s(approx (- (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 (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 (/ (- (/ (- (/ 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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) #s(literal 1 binary64))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (- (/ 1/3 N) 1/2) #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 (* (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 (+ 1 (/ N (* N N)))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (/ N (* N N)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (/ N (* N N)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (- (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)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (log (- (/ 1 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)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (/ (- (/ (- (/ 1/3 N) 1/2) N) -1) N) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (- (/ (- (/ 1/3 N) 1/2) N) -1) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) #s(literal 1 binary64)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))
#s(approx (log (+ 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 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal -1 binary64)) N)))
#s(approx (/ 1 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)))

eval11.0ms (0.5%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 076 to 450 computations (58.2% saved)

prune6.0ms (0.3%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New1251126
Fresh123
Picked145
Done033
Total12710137
Accuracy
100.0%
Counts
137 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.6%
(log1p.f64 (/.f64 N (*.f64 N N)))
✓99.9%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶99.0%
(log1p.f64 (*.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
✓26.0%
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
✓95.0%
#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))
▶91.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
✓92.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
✓84.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
✓84.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶92.2%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
Compiler

Compiled 96 to 92 computations (4.2% saved)

series7.0ms (0.3%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Counts
16 → 49
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
(/.f64 #s(literal 1/2 binary64) (*.f64 N N))
#s(literal 1/2 binary64)
(*.f64 N N)
#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))
(log1p.f64 (*.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
(*.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))))
#s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 N))
(sqrt.f64 N)
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (/ 1/2 (* N N)) #s(hole binary64 (/ 1/2 (pow N 2))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (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 (/ 1 (sqrt N)) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx (sqrt N) #s(hole binary64 (sqrt 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 N) (/ 1/2 (* N N))) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) 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 (* (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 (/ (- (* 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 N) (/ 1/2 (* N N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 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 (* (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 (sqrt N) #s(hole binary64 (* -1 (* (sqrt N) (pow (sqrt -1) 2)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) 1 N (/ 1/2 (* N N)) 1/2 (* N N) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) (/ 1 (sqrt N)) (sqrt N))
2.0ms
N
@0
((- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) 1 N (/ 1/2 (* N N)) 1/2 (* N N) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) (/ 1 (sqrt N)) (sqrt N))
1.0ms
N
@inf
((- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1 N) 1 N (/ 1/2 (* N N)) 1/2 (* N N) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) (log (+ 1 (* (pow N -1/2) (pow N -1/2)))) (* (pow N -1/2) (pow N -1/2)) (pow N -1/2) (/ 1 (sqrt N)) (sqrt N))

rewrite47.0ms (2%)

Memory
-9.5MiB live, 37.0MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0183954
0197747
0919702
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
65 → 101
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
(/.f64 #s(literal 1/2 binary64) (*.f64 N N))
#s(literal 1/2 binary64)
(*.f64 N N)
#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))
(log1p.f64 (*.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
(*.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))))
#s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 N))
(sqrt.f64 N)
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (/ 1/2 (* N N)) #s(hole binary64 (/ 1/2 (pow N 2))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (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 (/ 1 (sqrt N)) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx (sqrt N) #s(hole binary64 (sqrt 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 N) (/ 1/2 (* N N))) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) 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 (* (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 (/ (- (* 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 N) (/ 1/2 (* N N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 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 (* (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 (sqrt N) #s(hole binary64 (* -1 (* (sqrt N) (pow (sqrt -1) 2)))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 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 N N)) (*.f64 N #s(literal 1/2 binary64))) (*.f64 (*.f64 N N) N))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) (neg.f64 N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))
(*.f64 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.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)
N
(/.f64 (/.f64 #s(literal 1/2 binary64) N) N)
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 N N)))
(/.f64 #s(literal 1/2 binary64) (*.f64 N N))
#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)))
#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 N N) #s(literal 1/4 binary64)) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal 1/8 binary64)) (fma.f64 N N (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal 1/2 binary64)))))
(-.f64 N #s(literal 1/2 binary64))
(log1p.f64 (*.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
(log.f64 (fma.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(literal 1 binary64)))
(*.f64 (fabs.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))) (fabs.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
(*.f64 (neg.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))) (neg.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
(*.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))))
(pow.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(literal 2 binary64))
#s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))
(pow.f64 (sqrt.f64 N) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 N)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 N))
(sqrt.f64 (/.f64 #s(literal 1 binary64) N))
(pow.f64 N #s(literal 1/2 binary64))
(sqrt.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 (-.f64 (*.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) (/ 1/2 (* N N))) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
#s(approx (- (/ 1 N) (/ 1/2 (* N N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (* (pow N -1/2) (pow N -1/2)) (/.f64 #s(literal 1 binary64) N))
#s(approx N N)
#s(approx (/ 1/2 (* N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
#s(approx (* N N) (*.f64 N 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 (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 (* (pow N -1/2) (pow N -1/2)) (/.f64 #s(literal 1 binary64) N))
#s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))
#s(approx (/ 1 (sqrt N)) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))
#s(approx (sqrt N) (sqrt.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (+.f64 (/.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) (/ 1/2 (* N N))) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (/ 1 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 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 (* (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)) (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)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (- (/ 1 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) (* N N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (- N 1/2) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (* (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 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal -1 binary64)) N)))
#s(approx (* (pow N -1/2) (pow N -1/2)) (/.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 (sqrt N) (neg.f64 (*.f64 (sqrt.f64 N) #s(literal -1 binary64))))

eval16.0ms (0.7%)

Memory
-23.8MiB live, 24.0MiB allocated; 12ms collecting garbage
Compiler

Compiled 723 to 348 computations (51.9% saved)

prune6.0ms (0.3%)

Memory
18.1MiB live, 18.1MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New86086
Fresh000
Picked033
Done077
Total861096
Accuracy
100.0%
Counts
96 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.6%
(log1p.f64 (/.f64 N (*.f64 N N)))
✓99.9%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
✓99.0%
(log1p.f64 (*.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N)))))
✓26.0%
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
✓95.0%
#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))
✓91.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
✓92.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
✓84.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 N (*.f64 N N)))
✓84.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
✓92.2%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
Compiler

Compiled 191 to 158 computations (17.3% saved)

regimes9.0ms (0.4%)

Memory
-17.2MiB live, 29.5MiB allocated; 1ms collecting garbage
Counts
15 → 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))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(log1p.f64 (/.f64 #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))
#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))
(log1p.f64 (*.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.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 (*.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:

4.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
4.0ms
N
Results
AccuracySegmentsBranch
99.9%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
99.9%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.2%)

Memory
10.2MiB live, 10.2MiB 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))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
Outputs
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
Calls

2 calls:

2.0ms
N
2.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
97.7%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
97.7%2N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.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))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
Calls

2 calls:

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

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.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
91.9%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
91.9%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Accuracy

Total -0.1b remaining (-1.4%)

Threshold costs -0.1b (-1.4%)

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
84.7%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
84.7%1N
Compiler

Compiled 7 to 7 computations (0% saved)

bsearch9.0ms (0.4%)

Memory
13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
8.0ms
149063.48372988965
232169.47595568333
Samples
5.0ms64×1valid
Compiler

Compiled 82 to 88 computations (-7.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
adjust: 1.0ms (24.9% of total)
ival-log: 1.0ms (24.9% of total)
ival-log1p: 1.0ms (24.9% of total)
ival-sub!: 0.0ms (0% of total)

derivations119.0ms (5.1%)

Memory
2.2MiB live, 144.0MiB allocated; 24ms collecting garbage
Stop Event
1×done
Compiler

Compiled 31 to 25 computations (19.4% saved)

preprocess70.0ms (3%)

Memory
0.5MiB live, 93.5MiB allocated; 8ms collecting garbage
Compiler

Compiled 71 to 59 computations (16.9% saved)

end0.0ms (0%)

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

Profiling

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