Metrics for logs (example 3.8)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	23.7%	76.3%	0.0%	0.0%	0.0%	0
100.0%	23.7%	0.0%	76.3%	0.0%	0.0%	0.0%	1

Compiler

Compiled 19 to 12 computations (36.8% saved)

sample3.0s (78.1%)

Memory

2.2MiB live, 3 016.4MiB allocated; 1.3s collecting garbage

Samples

2.6s	8 255×	1	valid
0.0ms	1×	2	valid

Precisions

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

ival-log1p: 716.0ms (30.7% of total)

ival-log: 671.0ms (28.7% of total)

ival-mult!: 498.0ms (21.3% of total)

adjust: 292.0ms (12.5% of total)

ival-sub!: 90.0ms (3.9% of total)

ival-add!: 69.0ms (3.0% of total)

Bogosity

preprocess36.0ms (0.9%)

Memory

-6.4MiB live, 32.1MiB allocated; 20ms 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 (40.0% saved)

sample0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series71.0ms (1.8%)

Memory

12.9MiB live, 101.2MiB allocated; 17ms 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
40.0ms	n	0
8.0ms	n	-inf
7.0ms	n	inf

rewrite152.0ms (4.0%)

Memory

14.5MiB live, 135.7MiB allocated; 129ms 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)))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (log.f64 (-.f64 n #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(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)

eval97.0ms (2.5%)

Memory: -1.5MiB live, 88.3MiB allocated; 14ms collecting garbage
Compiler: Compiled 10 958 to 1 641 computations (85.0% saved)

prune18.0ms (0.5%)

Memory

-26.5MiB live, 25.7MiB allocated; 10ms 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
▶	99.2%	(-.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

▶

99.2%

(-.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)

sample0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
-1
1

Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series51.0ms (1.3%)

Memory

5.9MiB live, 99.0MiB allocated; 5ms 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
15.0ms	n	-inf
15.0ms	n	inf
13.0ms	n	0

rewrite127.0ms (3.3%)

Memory

14.3MiB live, 110.4MiB allocated; 15ms 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))
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(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 n) (log.f64 n)) (-.f64 #s(literal 1 binary64) (.f64 (log.f64 (-.f64 n #s(literal -1 binary64))) n)))
(fma.f64 n (log.f64 (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) n)))) #s(literal 1 binary64))
(fma.f64 n (log.f64 (/.f64 n (-.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 n (neg.f64 (log.f64 (-.f64 n #s(literal -1 binary64)))) (fma.f64 (log.f64 n) n #s(literal 1 binary64)))
(fma.f64 n (log.f64 n) (-.f64 #s(literal 1 binary64) (*.f64 (log.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 (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))

eval89.0ms (2.3%)

Memory: 4.8MiB live, 141.2MiB allocated; 13ms collecting garbage
Compiler: Compiled 16 059 to 2 517 computations (84.3% saved)

prune12.0ms (0.3%)

Memory

-32.4MiB live, 20.8MiB allocated; 6ms 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)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series23.0ms (0.6%)

Memory

43.5MiB live, 43.5MiB allocated; 0ms 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
6.0ms	n	-inf
6.0ms	n	inf
6.0ms	n	0

rewrite90.0ms (2.4%)

Memory

-10.4MiB live, 126.9MiB allocated; 11ms 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 (0.0%)

Memory: 5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 419 to 89 computations (78.8% saved)

prune1.0ms (0.0%)

Memory

3.4MiB live, 3.4MiB 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)

regimes32.0ms (0.8%)

Memory

-27.4MiB live, 29.1MiB allocated; 46ms collecting garbage

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:

23.0ms	(-.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))
2.0ms	n
2.0ms	(-.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 (0.4%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 35 to 13 computations (62.9% saved)

preprocess22.0ms (0.6%)

Memory: 2.9MiB live, 49.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 74 to 39 computations (47.3% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample3.0s (78.1%)

preprocess36.0ms (0.9%)

sample0.0ms (0.0%)

series71.0ms (1.8%)

rewrite152.0ms (4.0%)

eval97.0ms (2.5%)

prune18.0ms (0.5%)

sample0.0ms (0.0%)

series51.0ms (1.3%)

rewrite127.0ms (3.3%)

eval89.0ms (2.3%)

prune12.0ms (0.3%)

sample0.0ms (0.0%)

series23.0ms (0.6%)

rewrite90.0ms (2.4%)

eval2.0ms (0.0%)

prune1.0ms (0.0%)

regimes32.0ms (0.8%)

derivations14.0ms (0.4%)

preprocess22.0ms (0.6%)

end0.0ms (0.0%)

Profiling