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
0.3MiB live, 0.3MiB 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)

sample2.9s (74.5%)

Memory
105.5MiB live, 2 581.0MiB allocated; 503ms collecting garbage
Samples
2.5s8 256×1valid
Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-log1p: 815.0ms (35.3% of total)
ival-log: 755.0ms (32.7% of total)
ival-mult!: 313.0ms (13.6% of total)
adjust: 299.0ms (13% of total)
ival-sub!: 70.0ms (3% of total)
ival-add!: 54.0ms (2.3% of total)
Bogosity

preprocess34.0ms (0.9%)

Memory
-25.4MiB live, 28.5MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01851
17344
226742
3138742
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 24 to 18 computations (25% saved)

series54.0ms (1.4%)

Memory
22.0MiB live, 66.1MiB allocated; 5ms 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
34.0ms
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))
11.0ms
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))
8.0ms
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))

rewrite212.0ms (5.5%)

Memory
0.3MiB live, 178.3MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02101286
02231166
115341136
086361015
1285471015
Stop Event
1×saturated
1×node-limit
1×iter-limit
Counts
58 → 85
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
(neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (*.f64 (log.f64 n) n))))
(-.f64 (-.f64 (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (*.f64 (log.f64 n) n)) #s(literal 1 binary64))
(-.f64 (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (fma.f64 (log.f64 n) n #s(literal 1 binary64)))
(+.f64 (-.f64 (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (*.f64 (log.f64 n) n)) #s(literal -1 binary64))
(neg.f64 (-.f64 (*.f64 (log.f64 n) n) (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)))))
(fma.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)) (*.f64 (neg.f64 n) (log.f64 n)))
(fma.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)) (neg.f64 (*.f64 (log.f64 n) n)))
(fma.f64 (-.f64 n #s(literal -1 binary64)) (log.f64 (-.f64 n #s(literal -1 binary64))) (*.f64 (neg.f64 n) (log.f64 n)))
(fma.f64 (-.f64 n #s(literal -1 binary64)) (log.f64 (-.f64 n #s(literal -1 binary64))) (neg.f64 (*.f64 (log.f64 n) n)))
(-.f64 (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (*.f64 (log.f64 n) n))
(+.f64 (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (*.f64 (neg.f64 n) (log.f64 n)))
(+.f64 (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (neg.f64 (*.f64 (log.f64 n) n)))
(log.f64 (/.f64 (pow.f64 (-.f64 n #s(literal -1 binary64)) (-.f64 n #s(literal -1 binary64))) (pow.f64 n n)))
(*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)))
(*.f64 (-.f64 n #s(literal -1 binary64)) (log.f64 (-.f64 n #s(literal -1 binary64))))
(log.f64 (fabs.f64 (pow.f64 (-.f64 n #s(literal -1 binary64)) (-.f64 n #s(literal -1 binary64)))))
(log.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) n)) (-.f64 n #s(literal -1 binary64))))
(log.f64 (pow.f64 (-.f64 n #s(literal -1 binary64)) (-.f64 n #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 n))
(-.f64 n #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) n)
(+.f64 n #s(literal 1 binary64))
n
#s(literal 1 binary64)
(log1p.f64 n)
(log.f64 (fabs.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) n))))
(log.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) n)))
(log.f64 (-.f64 n #s(literal -1 binary64)))
(*.f64 (log.f64 n) n)
(*.f64 n (log.f64 n))
(log.f64 (fabs.f64 (pow.f64 n n)))
(log.f64 (pow.f64 (fabs.f64 n) n))
(log.f64 (pow.f64 n n))
(log.f64 (fabs.f64 (fabs.f64 n)))
(log.f64 (fabs.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) (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 (-.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 (fma.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 (fma.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 n #s(literal -1 binary64)))
#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 (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) (neg.f64 (neg.f64 (log.f64 n))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (neg.f64 (neg.f64 (log.f64 n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (-.f64 (/.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 (/.f64 #s(literal 1/2 binary64) n) (neg.f64 (neg.f64 (log.f64 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))) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) #s(literal 1 binary64)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (neg.f64 (neg.f64 (log.f64 n)))) #s(literal 1 binary64)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (neg.f64 (neg.f64 (log.f64 n)))) #s(literal 1 binary64)) (/.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 1/2 binary64) n) (neg.f64 (neg.f64 (log.f64 n)))) (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 n n) 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 (neg.f64 (neg.f64 (log.f64 n))) #s(literal 1 binary64)) n) (neg.f64 (neg.f64 (log.f64 n)))) n))
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (neg.f64 (neg.f64 (log.f64 n))) n)) (neg.f64 (neg.f64 (log.f64 n)))) n))
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (neg.f64 (neg.f64 (log.f64 n))) n)) (neg.f64 (neg.f64 (log.f64 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 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 #s(literal 1 binary64) n)))
#s(approx (log (+ n 1)) (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))))
#s(approx (log (+ n 1)) (-.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n n) n))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (neg.f64 (neg.f64 (log.f64 n))) #s(literal 2 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (-.f64 (neg.f64 (neg.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)) (neg.f64 (neg.f64 (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)) (neg.f64 (neg.f64 (log.f64 n)))) #s(literal 2 binary64)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (neg.f64 (neg.f64 (log.f64 n))) #s(literal 1 binary64)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (-.f64 (neg.f64 (neg.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)) (neg.f64 (neg.f64 (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)) (neg.f64 (neg.f64 (log.f64 n)))) #s(literal 1 binary64)))
#s(approx (* (+ n 1) (log (+ n 1))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (neg.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 (neg.f64 (neg.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)) (neg.f64 (neg.f64 (log.f64 n)))) #s(literal 1 binary64)) n)) (neg.f64 (log.f64 n))) n)))
#s(approx (log (+ n 1)) (-.f64 (neg.f64 (neg.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)) (neg.f64 (neg.f64 (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)) (neg.f64 (neg.f64 (log.f64 n)))))

eval9.0ms (0.2%)

Memory
14.5MiB live, 14.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 925 to 369 computations (60.1% saved)

prune3.0ms (0.1%)

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New78280
Fresh000
Picked101
Done000
Total79281
Accuracy
100.0%
Counts
81 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (neg.f64 (neg.f64 (log.f64 n))))
▶1.6%
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))
Compiler

Compiled 26 to 24 computations (7.7% saved)

series21.0ms (0.6%)

Memory
-13.0MiB live, 33.2MiB allocated; 3ms collecting garbage
Counts
7 → 16
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) (neg.f64 (neg.f64 (log.f64 n))))
(neg.f64 (neg.f64 (log.f64 n)))
(neg.f64 (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 (neg (neg (log n))) #s(hole binary64 (log n)))
#s(approx (neg (log n)) #s(hole binary64 (* -1 (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 (neg (log n)) #s(hole binary64 (log (/ 1 n))))
#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
8.0ms
n
@-inf
((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) -1 (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (neg (neg (log n))) (neg (log n)) (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) (neg (neg (log n))) (neg (log n)) (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) (neg (neg (log n))) (neg (log n)) (log n) n)

rewrite267.0ms (7%)

Memory
31.9MiB live, 176.5MiB allocated; 77ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088433
092377
1671361
25859361
09168323
131419323
Stop Event
1×saturated
1×node-limit
1×iter-limit
Counts
23 → 114
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) (neg.f64 (neg.f64 (log.f64 n))))
(neg.f64 (neg.f64 (log.f64 n)))
(neg.f64 (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 (neg (neg (log n))) #s(hole binary64 (log n)))
#s(approx (neg (log n)) #s(hole binary64 (* -1 (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 (neg (log n)) #s(hole binary64 (log (/ 1 n))))
#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 (neg.f64 (log.f64 n)))
(log.f64 (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 n))) #s(literal -1 binary64)))
(log.f64 (pow.f64 (pow.f64 (fabs.f64 n) #s(literal -1 binary64)) #s(literal -1 binary64)))
(log.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64)))
(log.f64 (pow.f64 (fabs.f64 (fabs.f64 n)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
(log.f64 (pow.f64 (pow.f64 (fabs.f64 n) #s(literal 1 binary64)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (pow.f64 n #s(literal 1 binary64)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 n)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 n))) #s(literal 1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 n)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 n) #s(literal -1 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))))
(log.f64 (fabs.f64 (fabs.f64 n)))
(log.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))))
(log.f64 (pow.f64 (fabs.f64 n) #s(literal 1 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)))
(log.f64 (pow.f64 n #s(literal 1 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 n)) #s(literal -1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 n))))
(log.f64 (fabs.f64 n))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))
(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) (log.f64 n))
(*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 n)))
(neg.f64 (log.f64 (neg.f64 (neg.f64 n))))
(neg.f64 (log.f64 n))
(log.f64 (pow.f64 (fabs.f64 (fabs.f64 n)) #s(literal -1 binary64)))
(log.f64 (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64)))
(log.f64 (pow.f64 (pow.f64 (fabs.f64 n) #s(literal 1 binary64)) #s(literal -1 binary64)))
(log.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(log.f64 (pow.f64 (pow.f64 n #s(literal 1 binary64)) #s(literal -1 binary64)))
(log.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 n)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 n))) #s(literal -1 binary64)))
(log.f64 (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 n))) #s(literal 1 binary64)))
(log.f64 (pow.f64 (pow.f64 (fabs.f64 n) #s(literal -1 binary64)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 n)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (fabs.f64 n))))
(log.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 n) #s(literal 1 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 1 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 n)) #s(literal -1 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 n)))))
(log.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 n))))
(log.f64 (pow.f64 (fabs.f64 n) #s(literal -1 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))))
(log.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 n)))
(log.f64 (/.f64 #s(literal 1 binary64) 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 (neg.f64 (log.f64 n)))
(log.f64 (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 n))) #s(literal -1 binary64)))
(log.f64 (pow.f64 (pow.f64 (fabs.f64 n) #s(literal -1 binary64)) #s(literal -1 binary64)))
(log.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64)))
(log.f64 (pow.f64 (fabs.f64 (fabs.f64 n)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
(log.f64 (pow.f64 (pow.f64 (fabs.f64 n) #s(literal 1 binary64)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (pow.f64 n #s(literal 1 binary64)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 n)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 n))) #s(literal 1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 n)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 n) #s(literal -1 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))))
(log.f64 (fabs.f64 (fabs.f64 n)))
(log.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))))
(log.f64 (pow.f64 (fabs.f64 n) #s(literal 1 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)))
(log.f64 (pow.f64 n #s(literal 1 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 n)) #s(literal -1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 n))))
(log.f64 (fabs.f64 n))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 (neg (neg (log n))) (log.f64 n))
#s(approx (neg (log n)) (neg.f64 (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 (neg (log n)) (neg.f64 (log.f64 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)))

eval9.0ms (0.2%)

Memory
-33.8MiB live, 11.7MiB allocated; 4ms collecting garbage
Compiler

Compiled 519 to 284 computations (45.3% saved)

prune2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New74175
Fresh000
Picked112
Done000
Total75277
Accuracy
100.0%
Counts
77 → 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 24 to 22 computations (8.3% saved)

series20.0ms (0.5%)

Memory
32.8MiB live, 32.8MiB allocated; 0ms collecting garbage
Counts
3 → 14
Calls
Call 1
Inputs
#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
7.0ms
n
@inf
((- (- (* (+ 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) (log n) n)
6.0ms
n
@0
((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n) n)

rewrite222.0ms (5.8%)

Memory
-25.0MiB live, 152.4MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081388
082354
1622325
25936325
08832289
130063289
Stop Event
1×saturated
1×node-limit
1×iter-limit
Counts
17 → 43
Calls
Call 1
Inputs
#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) (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 (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 n))) #s(literal -1 binary64)))
(log.f64 (pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
(log.f64 (pow.f64 (fabs.f64 (fabs.f64 n)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (pow.f64 (fabs.f64 n) #s(literal 1 binary64)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (pow.f64 n #s(literal 1 binary64)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 n)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 n))) #s(literal 1 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 n)))))
(log.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))))
(log.f64 (fabs.f64 (fabs.f64 n)))
(log.f64 (pow.f64 (fabs.f64 n) #s(literal 1 binary64)))
(log.f64 (pow.f64 n #s(literal 1 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 n)) #s(literal -1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 n))))
(log.f64 (fabs.f64 n))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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)))

eval4.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 290 to 147 computations (49.3% saved)

prune2.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New38038
Fresh000
Picked011
Done011
Total38240
Accuracy
100.0%
Counts
40 → 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 69 to 45 computations (34.8% saved)

regimes4.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Counts
4 → 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))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (neg.f64 (neg.f64 (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:

2.0ms
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
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 23 to 18 computations (21.7% saved)

regimes3.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB 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 23 to 18 computations (21.7% saved)

derivations91.0ms (2.4%)

Memory
-35.0MiB live, 70.1MiB allocated; 19ms collecting garbage
Stop Event
1×done
Compiler

Compiled 22 to 13 computations (40.9% saved)

preprocess21.0ms (0.5%)

Memory
40.4MiB live, 40.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 54 to 39 computations (27.8% saved)

end0.0ms (0%)

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

Profiling

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