Metrics for logs (example 3.8)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample2.7s (76.3%)

Memory

133.7MiB live, 2 571.9MiB allocated; 1.1s collecting garbage

Samples

2.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-log1p: 701.0ms (38.5% of total)

ival-log: 573.0ms (31.5% of total)

adjust: 268.0ms (14.7% of total)

ival-mult!: 151.0ms (8.3% of total)

ival-sub!: 78.0ms (4.3% of total)

ival-add!: 47.0ms (2.6% of total)

Bogosity

preprocess74.0ms (2.1%)

Memory

-19.8MiB live, 25.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	51
1	65	46
2	195	44
3	839	44
4	4532	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)

series66.0ms (1.9%)

Memory

39.7MiB live, 90.2MiB allocated; 12ms 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	Expression
42.0ms	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))
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))
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))

Time

Variable

Point

Expression

42.0ms

((- (- (* (+ 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

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

-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))

rewrite62.0ms (1.8%)

Memory

-22.9MiB live, 67.5MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
0	16	51
1	85	49
0	904	42

Stop Event

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

Counts

9 → 144

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 (-.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 #s(literal 1 binary64) (.f64 n (/.f64 (log.f64 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 (+.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 (pow.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 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)) (fma.f64 (neg.f64 n) (log.f64 n) #s(literal 1 binary64)))))
(.f64 (expm1.f64 (.f64 (log.f64 (-.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (.f64 (log.f64 n) n))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)) (fma.f64 (neg.f64 n) (log.f64 n) #s(literal 1 binary64))) (pow.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)))))
(.f64 (-.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (.f64 (log.f64 n) n)) (-.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 (-.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 (pow.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (log.f64 n) n) n) (log.f64 n)))) (fma.f64 (log.f64 n) n (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)))))
(/.f64 (.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 (pow.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 n) n) #s(literal 3 binary64)))) (fma.f64 (.f64 (log.f64 n) n) (fma.f64 (log.f64 n) n (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)))) (pow.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (log.f64 n) n #s(literal 1 binary64)) (fma.f64 (log.f64 n) n #s(literal 1 binary64)))) (fma.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)) (fma.f64 (log.f64 n) n #s(literal 1 binary64))))
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(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 n) (log.f64 n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (log.f64 n) n) n) (log.f64 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 (neg.f64 (-.f64 (pow.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (log.f64 n) n) n) (log.f64 n)))) (neg.f64 (fma.f64 (log.f64 n) n (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 n) n) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (log.f64 n) n) (fma.f64 (log.f64 n) n (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)))) (pow.f64 (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (log.f64 n) n) n) (log.f64 n))) (fma.f64 (log.f64 n) n (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 n) n) #s(literal 3 binary64))) (fma.f64 (.f64 (log.f64 n) n) (fma.f64 (log.f64 n) n (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)))) (pow.f64 (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.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))))
(neg.f64 (.f64 (-.f64 (.f64 (log.f64 n) n) (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)))) #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 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (/.f64 (-.f64 n #s(literal -1 binary64)) n)) n (.f64 (neg.f64 n) (log.f64 n)))
(fma.f64 (neg.f64 (log.f64 n)) n (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))))
(fma.f64 (neg.f64 n) (log.f64 n) (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))))
(fma.f64 (/.f64 (-.f64 n #s(literal -1 binary64)) n) (.f64 n (log.f64 (-.f64 n #s(literal -1 binary64)))) (.f64 (neg.f64 n) (log.f64 n)))
(fma.f64 (log.f64 n) (neg.f64 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 (-.f64 n #s(literal -1 binary64)) (log.f64 (-.f64 n #s(literal -1 binary64))) (*.f64 (neg.f64 n) (log.f64 n)))
(fma.f64 n (neg.f64 (log.f64 n)) (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 n) n (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 (.f64 (log.f64 n) n) n) (log.f64 n)) (fma.f64 (log.f64 n) n (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 (log.f64 n) n) (fma.f64 (log.f64 n) n (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)))) (pow.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (log.f64 n) n) #s(literal 3 binary64)) (fma.f64 (.f64 (log.f64 n) n) (fma.f64 (log.f64 n) n (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64)))) (pow.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)))))
(-.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (.f64 (neg.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 (neg.f64 n) (log.f64 n))))
(-.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (.f64 (log.f64 n) n))
(+.f64 (.f64 (neg.f64 n) (log.f64 n)) (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))))
(+.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))) (.f64 (neg.f64 n) (log.f64 n)))
(log.f64 (pow.f64 (pow.f64 (-.f64 n #s(literal -1 binary64)) (-.f64 n #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 n (/.f64 (log.f64 n) (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (-.f64 n #s(literal -1 binary64))))))))
(log.f64 (/.f64 (pow.f64 (-.f64 n #s(literal -1 binary64)) (-.f64 n #s(literal -1 binary64))) (pow.f64 n n)))
(.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (/.f64 (-.f64 n #s(literal -1 binary64)) n)) n)
(.f64 (/.f64 (-.f64 n #s(literal -1 binary64)) n) (.f64 n (log.f64 (-.f64 n #s(literal -1 binary64)))))
(*.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))))
(/.f64 (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (fma.f64 n n #s(literal -1 binary64))) (-.f64 n #s(literal 1 binary64)))
(/.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) (fma.f64 (.f64 n n) n #s(literal 1 binary64))) (fma.f64 n n (-.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 (fma.f64 n n #s(literal -1 binary64)) (log.f64 (-.f64 n #s(literal -1 binary64)))) (-.f64 n #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 n n) n #s(literal 1 binary64)) (log.f64 (-.f64 n #s(literal -1 binary64)))) (fma.f64 n n (-.f64 #s(literal 1 binary64) n)))
(fma.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n))
(fma.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 (-.f64 n #s(literal -1 binary64))) (*.f64 n (log.f64 (-.f64 n #s(literal -1 binary64)))))
(fma.f64 n (log.f64 (-.f64 n #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (log.f64 (-.f64 n #s(literal -1 binary64)))))
(+.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n))
(+.f64 (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n) (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (log.f64 (-.f64 n #s(literal -1 binary64)))) (.f64 n (log.f64 (-.f64 n #s(literal -1 binary64)))))
(+.f64 (.f64 n (log.f64 (-.f64 n #s(literal -1 binary64)))) (.f64 #s(literal 1 binary64) (log.f64 (-.f64 n #s(literal -1 binary64)))))
(log.f64 (pow.f64 (-.f64 n #s(literal -1 binary64)) (-.f64 n #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) n)
(*.f64 (/.f64 (-.f64 n #s(literal -1 binary64)) n) n)
(*.f64 (fma.f64 n n #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 n #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 n n) n #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 n n (-.f64 #s(literal 1 binary64) n))))
(*.f64 n (/.f64 (-.f64 n #s(literal -1 binary64)) n))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 n n)) (-.f64 #s(literal 1 binary64) n))
(/.f64 (neg.f64 (fma.f64 n n #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) n))
(/.f64 (neg.f64 (fma.f64 (*.f64 n n) n #s(literal 1 binary64))) (neg.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n))))
(/.f64 (fma.f64 n n #s(literal -1 binary64)) (-.f64 n #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 n n) n #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 n n) n)))
(/.f64 (fma.f64 (.f64 n n) n #s(literal 1 binary64)) (fma.f64 n n (+.f64 #s(literal 1 binary64) (.f64 n #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 n n) n #s(literal 1 binary64)) (fma.f64 n n (-.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n #s(literal 1 binary64)) (fma.f64 n n #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)) (fma.f64 (*.f64 n n) n #s(literal 1 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) n))
(-.f64 (/.f64 (*.f64 n n) (-.f64 n #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 n #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 n))
(-.f64 n #s(literal -1 binary64))
(+.f64 (/.f64 (.f64 (.f64 n n) n) (fma.f64 n n (-.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) (fma.f64 n n (-.f64 #s(literal 1 binary64) n))))
(+.f64 #s(literal 1 binary64) n)
(+.f64 n #s(literal 1 binary64))
n
#s(literal 1 binary64)
(log1p.f64 n)
(-.f64 (log.f64 (fma.f64 n n #s(literal -1 binary64))) (log.f64 (-.f64 n #s(literal 1 binary64))))
(-.f64 (log.f64 (fma.f64 (*.f64 n n) n #s(literal 1 binary64))) (log.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n))))
(+.f64 (log.f64 (/.f64 (-.f64 n #s(literal -1 binary64)) n)) (log.f64 n))
(log.f64 (-.f64 n #s(literal -1 binary64)))
(*.f64 (log.f64 n) n)
(*.f64 n (log.f64 n))
(log.f64 (pow.f64 n n))
(log.f64 n)

eval22.0ms (0.6%)

Memory: -9.0MiB live, 35.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 5 281 to 732 computations (86.1% saved)

prune4.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	186	2	188
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	187	2	189

Accuracy

100.0%

Counts

189 → 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) (*.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

▶

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 39 to 26 computations (33.3% saved)

series282.0ms (8.1%)

Memory

-20.2MiB live, 41.5MiB allocated; 651ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	390

Stop Event

1×	iter-limit

Counts

8 → 17

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

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 (- (- (* (+ 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 (- (- (* (+ 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	Expression
265.0ms	n	@	-inf	((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) -1 (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (* -1 (log (/ 1 n))) (log (/ 1 n)) (/ 1 n) 1 n)
7.0ms	n	@	0	((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) -1 (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (* -1 (log (/ 1 n))) (log (/ 1 n)) (/ 1 n) 1 n)
7.0ms	n	@	inf	((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) -1 (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (* -1 (log (/ 1 n))) (log (/ 1 n)) (/ 1 n) 1 n)

Time

Variable

Point

Expression

265.0ms

-inf

((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) -1 (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (* -1 (log (/ 1 n))) (log (/ 1 n)) (/ 1 n) 1 n)

7.0ms

((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) -1 (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (* -1 (log (/ 1 n))) (log (/ 1 n)) (/ 1 n) 1 n)

7.0ms

inf

((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) -1 (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (* -1 (log (/ 1 n))) (log (/ 1 n)) (/ 1 n) 1 n)

rewrite151.0ms (4.3%)

Memory

14.0MiB live, 149.4MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	55
0	18	50
1	97	44
2	982	44
0	8298	40

Stop Event

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

Counts

8 → 102

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

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

eval11.0ms (0.3%)

Memory: 20.5MiB live, 20.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 079 to 480 computations (84.4% saved)

prune4.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	111	2	113

Accuracy

100.0%

Counts

113 → 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)

series32.0ms (0.9%)

Memory

-12.9MiB live, 41.2MiB allocated; 19ms 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	Expression
14.0ms	n	@	0	((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (log n) n)
8.0ms	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)

rewrite48.0ms (1.4%)

Memory

-8.1MiB live, 37.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
0	12	21
1	81	20
0	900	18

Stop Event

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

Counts

3 → 3

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))
(log.f64 n)
n

eval2.0ms (0%)

Memory: 2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 377 to 83 computations (78% saved)

prune2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	13	2	15

Accuracy

100.0%

Counts

15 → 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 107 to 46 computations (57% saved)

regimes5.0ms (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) (*.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))

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

Calls

3 calls:

2.0ms

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

Accuracy	Segments	Branch
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 29 to 18 computations (37.9% saved)

regimes3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB 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

(-.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

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`

Compiler

Compiled 29 to 18 computations (37.9% saved)

derivations35.0ms (1%)

Memory

-35.8MiB live, 10.0MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 35 to 13 computations (62.9% saved)

preprocess22.0ms (0.6%)

Memory: 38.9MiB live, 38.9MiB allocated; 0ms 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%)

sample2.7s (76.3%)

preprocess74.0ms (2.1%)

series66.0ms (1.9%)

rewrite62.0ms (1.8%)

eval22.0ms (0.6%)

prune4.0ms (0.1%)

series282.0ms (8.1%)

rewrite151.0ms (4.3%)

eval11.0ms (0.3%)

prune4.0ms (0.1%)

series32.0ms (0.9%)

rewrite48.0ms (1.4%)

eval2.0ms (0%)

prune2.0ms (0%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

derivations35.0ms (1%)

preprocess22.0ms (0.6%)

end0.0ms (0%)

Profiling