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

0.3MiB live, 0.3MiB 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)

sample3.2s (82.5%)

Memory

19.0MiB live, 3 561.7MiB allocated; 1.7s collecting garbage

Samples

2.9s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.5s

ival-log1p: 1.1s (44.0% of total)

ival-log: 660.0ms (25.9% of total)

adjust: 328.0ms (12.9% of total)

ival-mult!: 248.0ms (9.7% of total)

ival-add!: 102.0ms (4.0% of total)

ival-sub!: 87.0ms (3.4% of total)

Bogosity

preprocess28.0ms (0.7%)

Memory

-10.2MiB live, 35.5MiB allocated; 6ms 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

0.4MiB live, 0.4MiB 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)

series100.0ms (2.5%)

Memory

-9.2MiB live, 156.8MiB allocated; 78ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	1211

Stop Event

1×	iter-limit

Counts

9 → 49

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
69.0ms	n	0
10.0ms	n	inf
8.0ms	n	-inf

rewrite110.0ms (2.8%)

Memory

28.8MiB live, 210.8MiB allocated; 38ms 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)

eval59.0ms (1.5%)

Memory: -5.5MiB live, 131.3MiB allocated; 31ms collecting garbage
Compiler: Compiled 10 958 to 1 641 computations (85.0% saved)

prune12.0ms (0.3%)

Memory

-17.5MiB live, 29.2MiB allocated; 3ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	412	2	414
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	413	2	415

Accuracy

100.0%

Counts

415 → 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)

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)

series27.0ms (0.7%)

Memory

17.7MiB live, 64.1MiB allocated; 4ms 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
9.0ms	n	-inf
7.0ms	n	0
6.0ms	n	inf

rewrite104.0ms (2.6%)

Memory

29.9MiB live, 220.9MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	55
0	18	50
1	99	44
2	339	44
3	1255	44
0	4015	40

Stop Event

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

Counts

8 → 255

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

eval39.0ms (1.0%)

Memory: -17.6MiB live, 88.9MiB allocated; 27ms collecting garbage
Compiler: Compiled 7 070 to 1 165 computations (83.5% saved)

prune6.0ms (0.2%)

Memory

-28.1MiB live, 18.1MiB allocated; 3ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	263	1	264
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	264	2	266

Accuracy

100.0%

Counts

266 → 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

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

Calls

Call 1

Inputs

Outputs

series29.0ms (0.7%)

Memory

32.0MiB live, 78.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	361

Stop Event

1×	iter-limit

Counts

3 → 14

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
11.0ms	n	inf
7.0ms	n	0
7.0ms	n	-inf

rewrite100.0ms (2.6%)

Memory

17.8MiB live, 197.3MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 5

Calls

Call 1

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

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

eval26.0ms (0.7%)

Memory: -35.2MiB live, 10.7MiB allocated; 29ms collecting garbage
Compiler: Compiled 419 to 89 computations (78.8% saved)

prune1.0ms (0.0%)

Memory

2.3MiB live, 2.3MiB 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)

regimes8.0ms (0.2%)

Memory

19.8MiB live, 19.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0.0%)

Threshold costs -0b (-0.0%)

Counts

1 → 1

4 → 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))

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

Calls

6 calls:

2.0ms	n
1.0ms	(-.f64 (-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n))) #s(literal 1 binary64))
1.0ms	(-.f64 (.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (.f64 n (log.f64 n)))
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 130 to 60 computations (53.8% saved)

derivations17.0ms (0.4%)

Memory

-26.7MiB live, 20.1MiB allocated; 7ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 35 to 13 computations (62.9% saved)

preprocess23.0ms (0.6%)

Memory: 4.3MiB live, 49.5MiB allocated; 3ms 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%)

sample3.2s (82.5%)

preprocess28.0ms (0.7%)

sample0.0ms (0.0%)

series100.0ms (2.5%)

rewrite110.0ms (2.8%)

eval59.0ms (1.5%)

prune12.0ms (0.3%)

sample0.0ms (0.0%)

series27.0ms (0.7%)

rewrite104.0ms (2.6%)

eval39.0ms (1.0%)

prune6.0ms (0.2%)

sample0.0ms (0.0%)

series29.0ms (0.7%)

rewrite100.0ms (2.6%)

eval26.0ms (0.7%)

prune1.0ms (0.0%)

regimes8.0ms (0.2%)

derivations17.0ms (0.4%)

preprocess23.0ms (0.6%)

end0.0ms (0.0%)

Profiling