Metrics for logs (example 3.8)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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 (66.8%)

Memory

117.4MiB live, 4 207.9MiB allocated; 891ms collecting garbage

Samples

2.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.3s

ival-log1p: 850.0ms (37.4% of total)

ival-log: 678.0ms (29.9% of total)

adjust: 298.0ms (13.1% of total)

ival-mult!: 255.0ms (11.2% of total)

ival-sub!: 118.0ms (5.2% of total)

ival-add!: 71.0ms (3.1% of total)

Bogosity

preprocess33.0ms (0.8%)

Memory

-14.2MiB live, 70.1MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	51
1	65	46
2	195	44
3	839	44

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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)

series195.0ms (4.5%)

Memory

48.9MiB live, 239.5MiB allocated; 115ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	1211

Stop Event

1×	iter-limit

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(literal -1 binary64))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (*.f64 n (-.f64 #s(literal 1 binary64) (log.f64 n))) #s(literal 1 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) n)) (log.f64 n))) #s(literal 1 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) n)))) (log.f64 n))) #s(literal 1 binary64)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (*.f64 n (-.f64 #s(literal 1 binary64) (log.f64 n))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) n)) (log.f64 n))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) n)))) (log.f64 n))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal 1/2 binary64) (.f64 n (-.f64 (.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64)))))) (log.f64 n))))
#s(approx (* (+ n 1) (log (+ n 1))) n)
#s(approx (* (+ n 1) (log (+ n 1))) (.f64 n (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) n))))
#s(approx (* (+ n 1) (log (+ n 1))) (.f64 n (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) n))))))
#s(approx (* (+ n 1) (log (+ n 1))) (.f64 n (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal 1/2 binary64) (.f64 n (-.f64 (.f64 #s(literal 1/12 binary64) n) #s(literal 1/6 binary64))))))))
#s(approx (+ n 1) #s(literal 1 binary64))
#s(approx (+ n 1) (+.f64 #s(literal 1 binary64) n))
#s(approx (log (+ n 1)) (.f64 n (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) n))))
#s(approx (log (+ n 1)) (.f64 n (+.f64 #s(literal 1 binary64) (.f64 n (-.f64 (*.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64))))))
#s(approx (log (+ n 1)) (.f64 n (+.f64 #s(literal 1 binary64) (.f64 n (-.f64 (.f64 n (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) n))) #s(literal 1/2 binary64))))))
#s(approx (* n (log n)) (*.f64 n (log.f64 n)))
#s(approx (log n) (log.f64 n))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 2 binary64)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 2 binary64)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 2 binary64)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 2 binary64)))))
#s(approx (* (+ n 1) (log (+ n 1))) (.f64 #s(literal -1 binary64) (.f64 n (log.f64 (/.f64 #s(literal 1 binary64) n)))))
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) n) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (* (+ n 1) (log (+ n 1))) (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) n))))))
#s(approx (* (+ n 1) (log (+ n 1))) (.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) n)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))))))
#s(approx (+ n 1) (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))))
#s(approx (log (+ n 1)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
#s(approx (log (+ n 1)) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 2 binary64)))))
#s(approx (log (+ n 1)) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 2 binary64)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) #s(literal 2 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 1 binary64) n))) n))) #s(literal 2 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (+.f64 (/.f64 #s(literal 7/12 binary64) (pow.f64 n #s(literal 2 binary64))) (.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 1 binary64) n)))) n))) #s(literal 2 binary64)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 1 binary64) n))) n))) #s(literal 1 binary64)))
#s(approx (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (+.f64 (/.f64 #s(literal 7/12 binary64) (pow.f64 n #s(literal 2 binary64))) (.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 1 binary64) n)))) n))) #s(literal 1 binary64)))
#s(approx (* (+ n 1) (log (+ n 1))) (.f64 #s(literal -1 binary64) (.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)) n))))))
#s(approx (* (+ n 1) (log (+ n 1))) (.f64 #s(literal -1 binary64) (.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) n)))) n))))))
#s(approx (* (+ n 1) (log (+ n 1))) (.f64 #s(literal -1 binary64) (.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 1 binary64) n))) n))) #s(literal 1 binary64)) n))))))
#s(approx (log (+ n 1)) (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))
#s(approx (log (+ n 1)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) n))))
#s(approx (log (+ n 1)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) n))))

Calls

3 calls:

Time	Variable	Point
69.0ms	n	0
18.0ms	n	inf
8.0ms	n	-inf

rewrite633.0ms (14.6%)

Memory

-132.2MiB live, 210.7MiB allocated; 1.0s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
0	16	51
1	85	49
2	283	49
3	1036	49
0	4148	41

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

9 → 370

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
(.f64 (/.f64 (fma.f64 (-.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (*.f64 (log.f64 n) n)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(.f64 (/.f64 (fma.f64 (-.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (*.f64 (log.f64 n) n)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 n) (log.f64 n)) (fma.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (log.f64 n) n)))) (-.f64 #s(literal -1 binary64) (.f64 (log.f64 n) n)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n (-.f64 #s(literal -1 binary64) (.f64 (log.f64 n) n))) (log.f64 (-.f64 n #s(literal -1 binary64))))) (log.f64 (-.f64 n #s(literal -1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (fma.f64 (log.f64 n) n #s(literal 1 binary64))) (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n))) (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 n) (log.f64 n)))) (*.f64 (neg.f64 n) (log.f64 n)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 n) n) (fma.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)) (.f64 (neg.f64 n) (log.f64 n)))) (*.f64 (neg.f64 n) (log.f64 n)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) n) (.f64 (log.f64 n) n)) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (.f64 (log.f64 n) n))))) (fma.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (log.f64 n) n))))
(.f64 (+.f64 #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))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (log.f64 n) n)) (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))))) (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))))
(.f64 (fma.f64 (-.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (*.f64 (log.f64 n) n)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.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 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (*.f64 (log.f64 n) n)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 n) n #s(literal 1 binary64)) (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))))) (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (/.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 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (*.f64 (log.f64 n) n)))
(/.f64 (/.f64 (fma.f64 (-.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (.f64 (log.f64 n) n)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (-.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (.f64 (log.f64 n) n)) #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
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(neg.f64 (neg.f64 (log.f64 (-.f64 n #s(literal -1 binary64)))))
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(fma.f64 (/.f64 (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 n #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 n #s(literal -1 binary64)))))
(fma.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 (-.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (-.f64 n #s(literal -1 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 0 binary64))
(-.f64 (log.f64 (fma.f64 n #s(literal 2 binary64) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (*.f64 (neg.f64 (log.f64 (-.f64 n #s(literal -1 binary64)))) #s(literal 0 binary64)))
(-.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 0 binary64))
(+.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64)) (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 n #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 n #s(literal -1 binary64)))))
(+.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (-.f64 n #s(literal -1 binary64))))
(log.f64 (-.f64 n #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 n) n) #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (neg.f64 (log.f64 n)) (neg.f64 n))
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n)))
(*.f64 (log.f64 n) n)
(*.f64 n (log.f64 n))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (.f64 (log.f64 n) n) (.f64 (log.f64 n) n))) (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 n) n)))
(/.f64 (+.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 n) n) #s(literal 3 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (-.f64 (.f64 (.f64 (log.f64 n) n) (.f64 (log.f64 n) n)) (.f64 #s(literal 0 binary64) (.f64 (log.f64 n) n)))))
(neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 n) (log.f64 n))))
(neg.f64 (*.f64 (neg.f64 n) (log.f64 n)))
(-.f64 (log.f64 #s(literal 1 binary64)) (*.f64 (neg.f64 n) (log.f64 n)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 n) (log.f64 n)))
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 n) n))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) n) (neg.f64 n)))
(log.f64 (pow.f64 n n))
(neg.f64 (neg.f64 (log.f64 n)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))
(log.f64 n)

eval60.0ms (1.4%)

Memory: 7.4MiB live, 133.2MiB allocated; 23ms collecting garbage
Compiler: Compiled 10 958 to 1 641 computations (85% saved)

prune10.0ms (0.2%)

Memory

25.7MiB live, 25.7MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	411	3	414
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	412	3	415

Accuracy

100.0%

Counts

415 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(-.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 (fma.f64 (log.f64 n) n #s(literal 1 binary64)) (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n)))
▶	100.0%	#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))))
▶	1.6%	#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))

Status

Accuracy

Program

▶

98.0%

(-.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 (fma.f64 (log.f64 n) n #s(literal 1 binary64)) (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n)))

▶

100.0%

#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))))

▶

1.6%

#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) #s(literal -1 binary64))

Compiler

Compiled 56 to 36 computations (35.7% saved)

series66.0ms (1.5%)

Memory

-34.9MiB live, 123.4MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	1102

Stop Event

1×	iter-limit

Counts

15 → 52

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) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))
(log.f64 (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
(-.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 (fma.f64 (log.f64 n) n #s(literal 1 binary64)) (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n)))
(log.f64 (-.f64 n #s(literal -1 binary64)))
(-.f64 n #s(literal -1 binary64))
(-.f64 (fma.f64 (log.f64 n) n #s(literal 1 binary64)) (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n))
(fma.f64 (log.f64 n) n #s(literal 1 binary64))
(log.f64 n)
(*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n)

Outputs
#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 n (-.f64 #s(literal 1 binary64) (log.f64 n))) #s(literal 1 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) n)) (log.f64 n))) #s(literal 1 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) n)))) (log.f64 n))) #s(literal 1 binary64)))
#s(approx (* -1 (log (/ 1 n))) (log.f64 n))
#s(approx (log (/ 1 n)) (*.f64 #s(literal -1 binary64) (log.f64 n)))
#s(approx (/ 1 n) (/.f64 #s(literal 1 binary64) n))
#s(approx n n)
#s(approx (log (- n -1)) (.f64 n (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) n))))
#s(approx (log (- n -1)) (.f64 n (+.f64 #s(literal 1 binary64) (.f64 n (-.f64 (*.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64))))))
#s(approx (log (- n -1)) (.f64 n (+.f64 #s(literal 1 binary64) (.f64 n (-.f64 (.f64 n (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) n))) #s(literal 1/2 binary64))))))
#s(approx (- n -1) #s(literal 1 binary64))
#s(approx (- n -1) (+.f64 #s(literal 1 binary64) n))
#s(approx (- (+ (* (log n) n) 1) (* (log (- n -1)) n)) (+.f64 #s(literal 1 binary64) (*.f64 n (log.f64 n))))
#s(approx (- (+ (* (log n) n) 1) (* (log (- n -1)) n)) (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 (log.f64 n) (.f64 #s(literal -1 binary64) n)))))
#s(approx (- (+ (* (log n) n) 1) (* (log (- n -1)) n)) (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 (log.f64 n) (.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64)))))))
#s(approx (* (log (- n -1)) n) (pow.f64 n #s(literal 2 binary64)))
#s(approx (* (log (- n -1)) n) (.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) n))))
#s(approx (* (log (- n -1)) n) (.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 n (-.f64 (*.f64 #s(literal 1/3 binary64) n) #s(literal 1/2 binary64))))))
#s(approx (* (log (- n -1)) n) (.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 n (-.f64 (.f64 n (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) n))) #s(literal 1/2 binary64))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 2 binary64)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 2 binary64)))))
#s(approx (log (/ 1 n)) (log.f64 (/.f64 #s(literal 1 binary64) n)))
#s(approx (log (- n -1)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
#s(approx (log (- n -1)) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 2 binary64)))))
#s(approx (log (- n -1)) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 2 binary64)))))
#s(approx (- n -1) (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))))
#s(approx (- (+ (* (log n) n) 1) (* (log (- n -1)) n)) (/.f64 #s(literal 1/2 binary64) n))
#s(approx (- (+ (* (log n) n) 1) (* (log (- n -1)) n)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) n))
#s(approx (- (+ (* (log n) n) 1) (* (log (- n -1)) n)) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) n))
#s(approx (- (+ (* (log n) n) 1) (* (log (- n -1)) n)) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64)))) (fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))))) n))
#s(approx (+ (* (log n) n) 1) (.f64 #s(literal -1 binary64) (.f64 n (log.f64 (/.f64 #s(literal 1 binary64) n)))))
#s(approx (+ (* (log n) n) 1) (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) n))))
#s(approx (* (log (- n -1)) n) (*.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 2 binary64))))))
#s(approx (* (log (- n -1)) n) (.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 2 binary64))))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) #s(literal 2 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 1 binary64) n))) n))) #s(literal 2 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (+.f64 (/.f64 #s(literal 7/12 binary64) (pow.f64 n #s(literal 2 binary64))) (.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 1 binary64) n)))) n))) #s(literal 2 binary64)))
#s(approx (log (- n -1)) (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))
#s(approx (log (- n -1)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) n))))
#s(approx (log (- n -1)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) n))))
#s(approx (- (+ (* (log n) n) 1) (* (log (- n -1)) n)) #s(literal 2 binary64))
#s(approx (- (+ (* (log n) n) 1) (* (log (- n -1)) n)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))
#s(approx (- (+ (* (log n) n) 1) (* (log (- n -1)) n)) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (+ (* (log n) n) 1) (* (log (- n -1)) n)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n))) n)) #s(literal 1/2 binary64)) n))))
#s(approx (+ (* (log n) n) 1) (.f64 #s(literal -1 binary64) (.f64 n (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (* (log (- n -1)) n) (.f64 #s(literal -1 binary64) (.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (* (log (- n -1)) n) (.f64 #s(literal -1 binary64) (.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) n))))))
#s(approx (* (log (- n -1)) n) (.f64 #s(literal -1 binary64) (.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) n)) #s(literal 1 binary64)) n))))))

Calls

3 calls:

Time	Variable	Point
22.0ms	n	inf
17.0ms	n	0
14.0ms	n	-inf

rewrite120.0ms (2.8%)

Memory

4.4MiB live, 194.7MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	104
0	33	99
1	202	93
2	634	89
3	2252	88
0	4028	73

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

15 → 565

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) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)))
(log.f64 (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
(-.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 (fma.f64 (log.f64 n) n #s(literal 1 binary64)) (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n)))
(log.f64 (-.f64 n #s(literal -1 binary64)))
(-.f64 n #s(literal -1 binary64))
(-.f64 (fma.f64 (log.f64 n) n #s(literal 1 binary64)) (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n))
(fma.f64 (log.f64 n) n #s(literal 1 binary64))
(log.f64 n)
(*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n)

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 (.f64 (neg.f64 (log.f64 n)) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 n))) #s(literal -2 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 n)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 n)))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (neg.f64 (log.f64 n)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 (neg.f64 (log.f64 n)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 n))) #s(literal 1 binary64)) #s(literal -2 binary64))
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(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n)) (.f64 (neg.f64 n) (log.f64 n)))
(-.f64 (.f64 (neg.f64 (log.f64 (-.f64 n #s(literal -1 binary64)))) n) (-.f64 #s(literal -1 binary64) (.f64 (log.f64 n) n)))
(-.f64 (*.f64 (log.f64 n) n) (fma.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n #s(literal -1 binary64)))
(-.f64 (fma.f64 (log.f64 n) n #s(literal 1 binary64)) (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n))
(-.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 n) (log.f64 n)) (.f64 (neg.f64 (log.f64 (-.f64 n #s(literal -1 binary64)))) n)))
(-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n)))
(-.f64 #s(literal 1 binary64) (*.f64 n (log.f64 (/.f64 (-.f64 n #s(literal -1 binary64)) n))))
(+.f64 (*.f64 n (log.f64 (/.f64 n (-.f64 n #s(literal -1 binary64))))) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n)) (.f64 (log.f64 n) n))
(+.f64 (*.f64 (neg.f64 (log.f64 (-.f64 n #s(literal -1 binary64)))) n) (fma.f64 (log.f64 n) n #s(literal 1 binary64)))
(+.f64 (.f64 (log.f64 n) n) (-.f64 #s(literal 1 binary64) (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n)))
(+.f64 (fma.f64 (log.f64 n) n #s(literal 1 binary64)) (*.f64 (neg.f64 (log.f64 (-.f64 n #s(literal -1 binary64)))) n))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 n (log.f64 (/.f64 n (-.f64 n #s(literal -1 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 n (log.f64 (/.f64 n (-.f64 n #s(literal -1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 n) (log.f64 n)) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 n) n) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (log.f64 n) n))) (*.f64 (log.f64 n) n))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 n) n))) (*.f64 (log.f64 n) n))
(/.f64 (fma.f64 (fma.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 (log.f64 n) n) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 n) (log.f64 n)) (.f64 (neg.f64 n) (log.f64 n)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 n) (log.f64 n))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 n) (log.f64 n)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 n) (log.f64 n)) (.f64 (neg.f64 n) (log.f64 n)) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 n) (log.f64 n))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 (log.f64 n) n) (.f64 (log.f64 n) n))) (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 n) n)))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 n) n) (.f64 (log.f64 n) n)) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (fma.f64 n (log.f64 n) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 n) n) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (.f64 (.f64 (log.f64 n) n) (.f64 (log.f64 n) n)) (.f64 #s(literal 1 binary64) (.f64 (log.f64 n) n)))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 n) n) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 (log.f64 n) n) (.f64 (log.f64 n) n) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (.f64 (neg.f64 n) (log.f64 n)))))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 n) n) (.f64 (log.f64 n) n)) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (log.f64 n) n) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 n) n) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 (log.f64 n) n) (.f64 (log.f64 n) n) (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 (log.f64 n) n) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (log.f64 n) n)))
(fma.f64 (*.f64 #s(literal -1 binary64) n) (neg.f64 (log.f64 n)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 n) (log.f64 n)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 n) (neg.f64 (log.f64 n)) #s(literal 1 binary64))
(fma.f64 (log.f64 n) n #s(literal 1 binary64))
(fma.f64 (neg.f64 (log.f64 n)) (*.f64 #s(literal -1 binary64) n) #s(literal 1 binary64))
(fma.f64 (neg.f64 (log.f64 n)) (neg.f64 n) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 n) (log.f64 n)) #s(literal 1 binary64))
(fma.f64 n (log.f64 n) #s(literal 1 binary64))
(-.f64 (*.f64 (log.f64 n) n) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 n) (log.f64 n)))
(+.f64 (*.f64 (log.f64 n) n) #s(literal 1 binary64))
(+.f64 (fma.f64 (log.f64 n) n #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 n) n)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 n) (log.f64 n))))
(+.f64 #s(literal 1 binary64) (*.f64 (log.f64 n) 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 (.f64 (neg.f64 (log.f64 n)) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 n))) #s(literal -2 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 (log.f64 n)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 n)))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (neg.f64 (log.f64 n)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 (neg.f64 (log.f64 n)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 n))) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 (log.f64 n)) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 n)))) #s(literal -4 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (log.f64 n)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 n)))) #s(literal -2 binary64))
(neg.f64 (neg.f64 (log.f64 n)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))
(-.f64 (log.f64 (neg.f64 n)) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(-.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 (log.f64 n)))
(-.f64 (log.f64 n) (log.f64 #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 #s(literal -1 binary64) n)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 n)))
(+.f64 (log.f64 #s(literal 1 binary64)) (log.f64 n))
(+.f64 (log.f64 n) (log.f64 #s(literal 1 binary64)))
(log.f64 n)
(*.f64 (neg.f64 (log.f64 (-.f64 n #s(literal -1 binary64)))) (neg.f64 n))
(*.f64 (neg.f64 n) (neg.f64 (log.f64 (-.f64 n #s(literal -1 binary64)))))
(*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n)
(*.f64 n (log.f64 (-.f64 n #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (-.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (-.f64 n #s(literal -1 binary64)))) (neg.f64 n)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (-.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) n)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (-.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (-.f64 n #s(literal -1 binary64)))) n) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))
(/.f64 (.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (neg.f64 n)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) n)))
(/.f64 (.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) n) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (log.f64 (-.f64 n #s(literal -1 binary64))))) (.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 n) (.f64 #s(literal 2 binary64) (log.f64 (-.f64 n #s(literal -1 binary64))))) #s(literal -2 binary64))
(/.f64 (.f64 (neg.f64 n) (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (log.f64 (-.f64 n #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (log.f64 (-.f64 n #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))
(/.f64 (.f64 n (.f64 #s(literal 2 binary64) (log.f64 (-.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (.f64 n (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 (log.f64 (-.f64 n #s(literal -1 binary64)))) n))
(log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) n)) (neg.f64 n)))
(log.f64 (pow.f64 (-.f64 n #s(literal -1 binary64)) n))

eval128.0ms (3%)

Memory: 8.9MiB live, 152.8MiB allocated; 100ms collecting garbage
Compiler: Compiled 16 059 to 2 517 computations (84.3% saved)

prune9.0ms (0.2%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	577	1	578
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	579	2	581

Accuracy

100.0%

Counts

581 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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)

series27.0ms (0.6%)

Memory

-9.7MiB live, 39.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	361

Stop Event

1×	iter-limit

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(literal -1 binary64))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (*.f64 n (-.f64 #s(literal 1 binary64) (log.f64 n))) #s(literal 1 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) n)) (log.f64 n))) #s(literal 1 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) n)))) (log.f64 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) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 2 binary64)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 2 binary64)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) #s(literal 2 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 1 binary64) n))) n))) #s(literal 2 binary64)))
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) n)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (+.f64 (/.f64 #s(literal 7/12 binary64) (pow.f64 n #s(literal 2 binary64))) (.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 1 binary64) n)))) n))) #s(literal 2 binary64)))

Calls

3 calls:

Time	Variable	Point
10.0ms	n	0
7.0ms	n	inf
6.0ms	n	-inf

rewrite95.0ms (2.2%)

Memory

1.2MiB live, 145.4MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
0	12	21
1	81	20
2	279	20
3	1031	20
0	4144	18

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

3 → 5

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) (log.f64 n))
(neg.f64 (neg.f64 (log.f64 n)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))
(log.f64 n)
n

eval2.0ms (0%)

Memory: 4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 419 to 89 computations (78.8% saved)

prune1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	15	2	17

Accuracy

100.0%

Counts

17 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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)

regimes12.0ms (0.3%)

Memory

-21.1MiB live, 25.1MiB allocated; 5ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

5 → 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))

Call 2

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) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) 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))
(-.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 (fma.f64 (log.f64 n) n #s(literal 1 binary64)) (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n)))

Outputs
#s(approx (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log.f64 n))

Calls

6 calls:

6.0ms	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)))
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))

Results

Accuracy	Segments	Branch
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%	1	`n`
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%	1	`n`

Compiler

Compiled 147 to 66 computations (55.1% saved)

derivations14.0ms (0.3%)

Memory

20.7MiB live, 20.7MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 35 to 13 computations (62.9% saved)

preprocess30.0ms (0.7%)

Memory: -28.5MiB live, 62.6MiB allocated; 11ms collecting garbage
Compiler: Compiled 74 to 39 computations (47.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.9s (66.8%)

preprocess33.0ms (0.8%)

series195.0ms (4.5%)

rewrite633.0ms (14.6%)

eval60.0ms (1.4%)

prune10.0ms (0.2%)

series66.0ms (1.5%)

rewrite120.0ms (2.8%)

eval128.0ms (3%)

prune9.0ms (0.2%)

series27.0ms (0.6%)

rewrite95.0ms (2.2%)

eval2.0ms (0%)

prune1.0ms (0%)

regimes12.0ms (0.3%)

derivations14.0ms (0.3%)

preprocess30.0ms (0.7%)

end0.0ms (0%)

Profiling