logs (example 3.8)

Time bar (total: 3.8s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%23.7%76.3%0%0%0%0
100%23.7%0%76.3%0%0%0%1
Compiler

Compiled 19 to 12 computations (36.8% saved)

sample3.1s (83.4%)

Memory
67.6MiB live, 3 752.0MiB allocated; 894ms collecting garbage
Samples
2.8s8 256×1valid
Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-log1p: 902.0ms (38.4% of total)
ival-log: 815.0ms (34.7% of total)
adjust: 323.0ms (13.8% of total)
ival-mult!: 166.0ms (7.1% of total)
ival-sub!: 91.0ms (3.9% of total)
ival-add!: 51.0ms (2.2% of total)
Bogosity

preprocess57.0ms (1.5%)

Memory
-18.5MiB live, 27.0MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01852
14751
210749
340049
4167645
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶1.5%
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
Compiler

Compiled 30 to 18 computations (40% saved)

series76.0ms (2%)

Memory
0.6MiB live, 52.4MiB allocated; 8ms collecting garbage
Counts
9 → 49
Calls
Call 1
Inputs
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
(+.f64 n #s(literal 1 binary64))
n
#s(literal 1 binary64)
(log.f64 (+.f64 n #s(literal 1 binary64)))
(*.f64 n (log.f64 n))
(log.f64 n)
Outputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 -1))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- 1 (log n))) 1)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- 1 (log n)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* 1/2 n)) (log n)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))) (log n)))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 n))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* 1/2 n)))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* n (+ 1/2 (* -1/6 n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))))))
#s(approx (+ n 1) #s(hole binary64 1))
#s(approx (+ n 1) #s(hole binary64 (+ 1 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 (log n)) #s(hole binary64 (* n (log n))))
#s(approx (log n) #s(hole binary64 (log n)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (* -1 (log (/ 1 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (* -1 (log (/ 1 n))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))) (/ 1/6 (pow n 2)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (+ 1 (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3)))))) (/ 1/6 (pow n 2)))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (log (/ 1 n))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (/ 1 n))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (- (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))) (* 1/6 (/ 1 (pow n 3)))))))
#s(approx (+ n 1) #s(hole binary64 (* n (+ 1 (/ 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) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* -1 (log (/ 1 n))) 2)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* -1 (log (/ 1 n))) (+ 2 (* 3/2 (/ 1 n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 3/2 (* 5/6 (/ 1 n))) n))) 2)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 3/2 (+ (/ 7/12 (pow n 2)) (* 5/6 (/ 1 n)))) n))) 2)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (* -1 (log (/ 1 n))) 1)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (* -1 (log (/ 1 n))) (+ 1 (* 3/2 (/ 1 n))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 3/2 (* 5/6 (/ 1 n))) n))) 1)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 3/2 (+ (/ 7/12 (pow n 2)) (* 5/6 (/ 1 n)))) n))) 1)))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (log (/ 1 n)) (* -1 (/ (- (* -1 (log (/ 1 n))) 1) n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (log (/ 1 n)) (* -1 (/ (- (* -1 (log (/ 1 n))) (+ 1 (* 3/2 (/ 1 n)))) n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (log (/ 1 n)) (* -1 (/ (- (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 3/2 (* 5/6 (/ 1 n))) n))) 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 (/ (+ 1 (* 1/2 (/ 1 n))) n)))))
#s(approx (log (+ n 1)) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow n 2)) (* 1/2 (/ 1 n)))) n)))))
Calls

3 calls:

TimeVariablePointExpression
35.0ms
n
@0
((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (* (+ n 1) (log (+ n 1))) (+ n 1) n 1 (log (+ n 1)) (* n (log n)) (log n))
33.0ms
n
@-inf
((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (* (+ n 1) (log (+ n 1))) (+ n 1) n 1 (log (+ n 1)) (* n (log n)) (log n))
7.0ms
n
@inf
((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (* (+ n 1) (log (+ n 1))) (+ n 1) n 1 (log (+ n 1)) (* n (log n)) (log n))

rewrite183.0ms (4.9%)

Memory
47.3MiB live, 135.9MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02101286
02231166
113171074
08399970
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
58 → 106
Calls
Call 1
Inputs
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
(+.f64 n #s(literal 1 binary64))
n
#s(literal 1 binary64)
(log.f64 (+.f64 n #s(literal 1 binary64)))
(*.f64 n (log.f64 n))
(log.f64 n)
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 -1))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- 1 (log n))) 1)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- 1 (log n)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* 1/2 n)) (log n)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (* n (- (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))) (log n)))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 n))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* 1/2 n)))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* n (+ 1/2 (* -1/6 n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))))))
#s(approx (+ n 1) #s(hole binary64 1))
#s(approx (+ n 1) #s(hole binary64 (+ 1 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 (log n)) #s(hole binary64 (* n (log n))))
#s(approx (log n) #s(hole binary64 (log n)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (* -1 (log (/ 1 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (* -1 (log (/ 1 n))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))) (/ 1/6 (pow n 2)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (+ 1 (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3)))))) (/ 1/6 (pow n 2)))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (log (/ 1 n))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (/ 1 n))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* n (- (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))) (* 1/6 (/ 1 (pow n 3)))))))
#s(approx (+ n 1) #s(hole binary64 (* n (+ 1 (/ 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) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* -1 (log (/ 1 n))) 2)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* -1 (log (/ 1 n))) (+ 2 (* 3/2 (/ 1 n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 3/2 (* 5/6 (/ 1 n))) n))) 2)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 3/2 (+ (/ 7/12 (pow n 2)) (* 5/6 (/ 1 n)))) n))) 2)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (* -1 (log (/ 1 n))) 1)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (* -1 (log (/ 1 n))) (+ 1 (* 3/2 (/ 1 n))))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 3/2 (* 5/6 (/ 1 n))) n))) 1)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 3/2 (+ (/ 7/12 (pow n 2)) (* 5/6 (/ 1 n)))) n))) 1)))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (log (/ 1 n)) (* -1 (/ (- (* -1 (log (/ 1 n))) 1) n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (log (/ 1 n)) (* -1 (/ (- (* -1 (log (/ 1 n))) (+ 1 (* 3/2 (/ 1 n)))) n)))))))
#s(approx (* (+ n 1) (log (+ n 1))) #s(hole binary64 (* -1 (* n (+ (log (/ 1 n)) (* -1 (/ (- (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 3/2 (* 5/6 (/ 1 n))) n))) 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 (/ (+ 1 (* 1/2 (/ 1 n))) n)))))
#s(approx (log (+ n 1)) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow n 2)) (* 1/2 (/ 1 n)))) n)))))
Outputs
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (*.f64 (fma.f64 (log.f64 n) n #s(literal 1 binary64)) (fma.f64 (log.f64 n) n #s(literal 1 binary64)))) (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n) (fma.f64 (log.f64 n) n #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (log.f64 n) n #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (log.f64 n) n #s(literal 1 binary64)) (fma.f64 (log.f64 n) n #s(literal 1 binary64)) (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (fma.f64 (log.f64 n) n #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 n) n) (*.f64 (log.f64 n) n))) #s(literal 2 binary64)) (*.f64 (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n) (*.f64 (log.f64 n) n)) #s(literal 2 binary64))) (*.f64 (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n) (*.f64 (log.f64 n) n)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 n) n) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (fma.f64 (*.f64 (log.f64 n) n) (*.f64 (log.f64 n) n) (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)))) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (fma.f64 (*.f64 (log.f64 n) n) (*.f64 (log.f64 n) n) (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)) #s(literal 2 binary64)) (+.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)) #s(literal 1 binary64))))))
(-.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)) #s(literal 1 binary64))
(-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (fma.f64 (log.f64 n) n #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 n) (log.f64 n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 n) (log.f64 n)) (*.f64 (neg.f64 n) (log.f64 n))) (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (neg.f64 n) (log.f64 n))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 n) n) (*.f64 (log.f64 n) n)))) (neg.f64 (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n) (*.f64 (log.f64 n) n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 n) n) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (fma.f64 (*.f64 (log.f64 n) n) (*.f64 (log.f64 n) n) (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 n) n) (*.f64 (log.f64 n) n))) (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n) (*.f64 (log.f64 n) n)))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 n) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (fma.f64 (*.f64 (log.f64 n) n) (*.f64 (log.f64 n) n) (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n)))))
(fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n) (*.f64 (neg.f64 n) (log.f64 n)))
(fma.f64 (+.f64 #s(literal 1 binary64) n) (log.f64 (+.f64 #s(literal 1 binary64) n)) (*.f64 (neg.f64 n) (log.f64 n)))
(-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n) (*.f64 (log.f64 n) n))) (/.f64 (*.f64 (*.f64 (log.f64 n) n) (*.f64 (log.f64 n) n)) (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n) (*.f64 (log.f64 n) n))))
(-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (fma.f64 (*.f64 (log.f64 n) n) (*.f64 (log.f64 n) n) (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n))))) (/.f64 (pow.f64 (*.f64 (log.f64 n) n) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)) (fma.f64 (*.f64 (log.f64 n) n) (*.f64 (log.f64 n) n) (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n))))))
(-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (log.f64 n) n))
(+.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n)) (*.f64 (neg.f64 n) (log.f64 n)))
(log.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) n)) (pow.f64 n n)))
(*.f64 (log.f64 (+.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) n))
(*.f64 (+.f64 #s(literal 1 binary64) n) (log.f64 (+.f64 #s(literal 1 binary64) n)))
(log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) n)))
(/.f64 (neg.f64 (-.f64 (*.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) (*.f64 n #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 n n) n))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 #s(literal 1 binary64) n)))))
(/.f64 (-.f64 (*.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) (*.f64 n #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 n n) n)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 #s(literal 1 binary64) n))))
(-.f64 (/.f64 (*.f64 n n) (-.f64 n #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 n #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) n)) (/.f64 (*.f64 n n) (-.f64 #s(literal 1 binary64) n)))
(+.f64 (/.f64 (*.f64 (*.f64 n n) n) (fma.f64 n n (-.f64 #s(literal 1 binary64) (*.f64 n #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 n n (-.f64 #s(literal 1 binary64) (*.f64 n #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 #s(literal 1 binary64) n)))) (/.f64 (*.f64 (*.f64 n n) n) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 #s(literal 1 binary64) n)))))
(+.f64 #s(literal 1 binary64) n)
(+.f64 n #s(literal 1 binary64))
n
#s(literal 1 binary64)
(log1p.f64 n)
(-.f64 (log.f64 (-.f64 (*.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) (*.f64 n #s(literal 1 binary64))))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 n n) n))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 #s(literal 1 binary64) n)))))
(log.f64 (+.f64 #s(literal 1 binary64) n))
(*.f64 (log.f64 n) n)
(*.f64 n (log.f64 n))
(log.f64 (pow.f64 n n))
(*.f64 (neg.f64 (log.f64 n)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 n)))
(*.f64 #s(literal 1 binary64) (log.f64 n))
(neg.f64 (neg.f64 (log.f64 n)))
(log.f64 n)
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) n) #s(literal 1 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) n #s(literal 1 binary64)) (log.f64 n)) n) #s(literal 1 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) n #s(literal 1 binary64)) (log.f64 n)) n) #s(literal 1 binary64)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) n))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) n #s(literal 1 binary64)) (log.f64 n)) n))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) n #s(literal 1 binary64)) (log.f64 n)) n))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (*.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)) n #s(literal 1/2 binary64)) n #s(literal 1 binary64)) (log.f64 n)) n))
#s(approx (* (+ n 1) (log (+ n 1))) n)
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (fma.f64 #s(literal 1/2 binary64) n #s(literal 1 binary64)) n))
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) n #s(literal 1 binary64)) n))
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 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 #s(literal 1 binary64) 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 (-.f64 (*.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 (-.f64 (*.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 (log n)) (*.f64 (log.f64 n) n))
#s(approx (log n) (log.f64 n))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 n n) n)) (/.f64 #s(literal 1/2 binary64) n)) (log.f64 n)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (log.f64 n) #s(literal 1 binary64)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (+.f64 (log.f64 n) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 n)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 n n) n)) (/.f64 #s(literal 1/2 binary64) n)) (log.f64 n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))))
#s(approx (* (+ n 1) (log (+ n 1))) (neg.f64 (*.f64 (neg.f64 (log.f64 n)) n)))
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (+.f64 (/.f64 (+.f64 (log.f64 n) #s(literal 1 binary64)) n) (log.f64 n)) n))
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (+.f64 (+.f64 (log.f64 n) (/.f64 (log.f64 n) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n))) n))
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (-.f64 (+.f64 (+.f64 (log.f64 n) (/.f64 (log.f64 n) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n))) n))
#s(approx (+ n 1) (fma.f64 #s(literal 1 binary64) n #s(literal 1 binary64)))
#s(approx (log (+ n 1)) (+.f64 (log.f64 n) (/.f64 #s(literal 1 binary64) n)))
#s(approx (log (+ n 1)) (-.f64 (+.f64 (log.f64 n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))
#s(approx (log (+ n 1)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n n) n)) (/.f64 #s(literal 1 binary64) n)) (log.f64 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (log.f64 n) #s(literal 2 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (-.f64 (log.f64 n) #s(literal 2 binary64)) (/.f64 #s(literal 3/2 binary64) n)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/6 binary64) n) #s(literal 3/2 binary64)) n)) (log.f64 n)) #s(literal 2 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 7/12 binary64) (*.f64 n n))) (/.f64 #s(literal 5/6 binary64) n)) n)) (log.f64 n)) #s(literal 2 binary64)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (log.f64 n) #s(literal 1 binary64)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (-.f64 (log.f64 n) #s(literal 1 binary64)) (/.f64 #s(literal 3/2 binary64) n)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/6 binary64) n) #s(literal 3/2 binary64)) n)) (log.f64 n)) #s(literal 1 binary64)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 7/12 binary64) (*.f64 n n))) (/.f64 #s(literal 5/6 binary64) n)) n)) (log.f64 n)) #s(literal 1 binary64)))
#s(approx (* (+ n 1) (log (+ n 1))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (log.f64 n) #s(literal 1 binary64)) n)) (neg.f64 (log.f64 n))) n)))
#s(approx (* (+ n 1) (log (+ n 1))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (log.f64 n) #s(literal 1 binary64)) (/.f64 #s(literal 3/2 binary64) n)) n)) (neg.f64 (log.f64 n))) n)))
#s(approx (* (+ n 1) (log (+ n 1))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/6 binary64) n) #s(literal 3/2 binary64)) n)) (log.f64 n)) #s(literal 1 binary64)) n)) (neg.f64 (log.f64 n))) n)))
#s(approx (log (+ n 1)) (-.f64 (log.f64 n) (/.f64 #s(literal 1 binary64) n)))
#s(approx (log (+ n 1)) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64)) n)) (log.f64 n)))
#s(approx (log (+ n 1)) (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) n)) (log.f64 n)))

eval14.0ms (0.4%)

Memory
-22.1MiB live, 23.9MiB allocated; 4ms collecting garbage
Compiler

Compiled 3 097 to 520 computations (83.2% saved)

prune3.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New992101
Fresh000
Picked101
Done000
Total1002102
Accuracy
100.0%
Counts
102 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
▶1.6%
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
Compiler

Compiled 35 to 22 computations (37.1% saved)

series55.0ms (1.5%)

Memory
-2.0MiB live, 50.2MiB allocated; 55ms collecting garbage
Counts
5 → 14
Calls
Call 1
Inputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
(log.f64 n)
n
Outputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 -1))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- 1 (log n))) 1)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)))
#s(approx (log n) #s(hole binary64 (log n)))
#s(approx n #s(hole binary64 n))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (* -1 (log (/ 1 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* -1 (log (/ 1 n))) 2)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* -1 (log (/ 1 n))) (+ 2 (* 3/2 (/ 1 n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 3/2 (* 5/6 (/ 1 n))) n))) 2)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 3/2 (+ (/ 7/12 (pow n 2)) (* 5/6 (/ 1 n)))) n))) 2)))
Calls

3 calls:

TimeVariablePointExpression
41.0ms
n
@inf
((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) -1 (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n) n)
7.0ms
n
@-inf
((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) -1 (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n) n)
7.0ms
n
@0
((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) -1 (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n) n)

rewrite138.0ms (3.7%)

Memory
9.2MiB live, 148.6MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081406
082372
1522342
05323307
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
19 → 28
Calls
Call 1
Inputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
(log.f64 n)
n
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 -1))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- 1 (log n))) 1)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* 1/2 n)) (log n))) 1)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n))) 1)))
#s(approx (log n) #s(hole binary64 (log n)))
#s(approx n #s(hole binary64 n))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (* -1 (log (/ 1 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))) (/ 1/6 (pow n 2)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3))))) (/ 1/6 (pow n 2)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* -1 (log (/ 1 n))) 2)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (* -1 (log (/ 1 n))) (+ 2 (* 3/2 (/ 1 n))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 3/2 (* 5/6 (/ 1 n))) n))) 2)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(hole binary64 (- (+ (* -1 (log (/ 1 n))) (* -1 (/ (+ 3/2 (+ (/ 7/12 (pow n 2)) (* 5/6 (/ 1 n)))) n))) 2)))
Outputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
(*.f64 (log.f64 n) #s(literal 1 binary64))
(*.f64 (neg.f64 (log.f64 n)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 n)))
(*.f64 #s(literal 1 binary64) (log.f64 n))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 n)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 (log.f64 n)) #s(literal 1 binary64)))
(neg.f64 (*.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)
n
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) n #s(literal -1 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) n #s(literal 1 binary64)) (log.f64 n)) n #s(literal -1 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) n (-.f64 #s(literal 1 binary64) (log.f64 n))) n #s(literal -1 binary64)))
#s(approx (log n) (log.f64 n))
#s(approx n n)
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (-.f64 (-.f64 (log.f64 n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 n n) n))) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (log.f64 n) #s(literal 2 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (-.f64 (log.f64 n) #s(literal 2 binary64)) (/.f64 #s(literal 3/2 binary64) n)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (-.f64 (log.f64 n) (/.f64 (-.f64 (/.f64 #s(literal 5/6 binary64) n) #s(literal -3/2 binary64)) n)) #s(literal 2 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (-.f64 (log.f64 n) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 7/12 binary64) (*.f64 n n)) (/.f64 #s(literal -5/6 binary64) n)) #s(literal -3/2 binary64)) n)) #s(literal 2 binary64)))

eval2.0ms (0.1%)

Memory
5.0MiB live, 4.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 500 to 93 computations (81.4% saved)

prune2.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New21021
Fresh000
Picked022
Done000
Total21223
Accuracy
100.0%
Counts
23 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
✓1.6%
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
Compiler

Compiled 85 to 42 computations (50.6% saved)

regimes17.0ms (0.5%)

Memory
-33.5MiB live, 15.1MiB allocated; 11ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
Outputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))
Calls

3 calls:

14.0ms
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
1.0ms
n
1.0ms
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
Results
AccuracySegmentsBranch
100.0%1(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
100.0%1(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
100.0%1n
Compiler

Compiled 29 to 18 computations (37.9% saved)

regimes3.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
Outputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
Calls

3 calls:

1.0ms
n
1.0ms
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
1.0ms
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
Results
AccuracySegmentsBranch
1.6%1(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
1.6%1(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
1.6%1n
Compiler

Compiled 29 to 18 computations (37.9% saved)

derivations47.0ms (1.3%)

Memory
15.6MiB live, 60.3MiB allocated; 6ms collecting garbage
Stop Event
1×done
Compiler

Compiled 35 to 13 computations (62.9% saved)

preprocess26.0ms (0.7%)

Memory
2.8MiB live, 47.0MiB allocated; 7ms collecting garbage
Compiler

Compiled 74 to 39 computations (47.3% saved)

end0.0ms (0%)

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

Profiling

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