Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	3.2%	96.8%	0%	0%	0%	0
100%	3.2%	0%	96.8%	0%	0%	0%	1

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.3s (44.2%)

Memory

20.0MiB live, 1 202.0MiB allocated; 354ms collecting garbage

Samples

971.0ms	7 471×	1	valid
30.0ms	784×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 756.0ms

ival-log: 307.0ms (40.6% of total)

ival-log1p: 258.0ms (34.1% of total)

adjust: 153.0ms (20.3% of total)

ival-sub!: 38.0ms (5% of total)

Bogosity

preprocess296.0ms (9.7%)

Memory

-46.4MiB live, 58.9MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	33	20
2	89	18
3	362	18
4	3069	18

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.9%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 12 to 12 computations (0% saved)

series44.0ms (1.4%)

Memory

23.2MiB live, 68.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	451

Stop Event

1×	iter-limit

Counts

6 → 27

Calls

Call 1

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

Outputs
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) N))) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))) (log.f64 N)))
#s(approx (log (+ N 1)) 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) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.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 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N))
#s(approx (log (+ N 1)) (*.f64 #s(literal -1 binary64) (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 1)) (log N)) (/.f64 #s(literal -1 binary64) N))
#s(approx (- (log (+ N 1)) (log 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)) (log 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 1)) (log N)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 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))) N)))
#s(approx (log (+ N 1)) (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) N)))
#s(approx (log (+ N 1)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))))
#s(approx (log (+ N 1)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) N)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))) N))))

Calls

3 calls:

Time	Variable		Point	Expression
23.0ms	N	@	0	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
10.0ms	N	@	-inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
6.0ms	N	@	inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

rewrite44.0ms (1.4%)

Memory

21.4MiB live, 21.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	17
1	54	17
0	404	14
1	1058	14

Stop Event

1×	saturated
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

6 → 16

Calls

Call 1

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

Outputs
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (neg.f64 (log.f64 N))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64))))
(+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N)))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(log1p.f64 N)
(log.f64 (-.f64 N #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) N))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(-.f64 N #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(log.f64 N)

eval4.0ms (0.1%)

Memory: 3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 311 to 155 computations (50.2% saved)

prune20.0ms (0.6%)

Memory

-40.4MiB live, 5.6MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	32	7	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	7	40

Accuracy

99.3%

Counts

40 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.9%	(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
▶	28.3%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
▶	27.7%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
▶	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N))
	94.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.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))
▶	92.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
▶	83.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 160 to 160 computations (0% saved)

series17.0ms (0.6%)

Memory

21.8MiB live, 21.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	249	1426

Stop Event

1×	iter-limit

Counts

30 → 69

Calls

Call 1

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

Outputs
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) N))) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))) (log.f64 N)))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/2 binary64) N))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/2 binary64) N))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ 1 (/ 1/3 (pow N 2))) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))))
#s(approx (+ 1 (/ 1/3 (pow N 2))) (/.f64 (+.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))) (pow.f64 N #s(literal 2 binary64))))
#s(approx (pow N 2) (pow.f64 N #s(literal 2 binary64)))
#s(approx N N)
#s(approx (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 2 binary64)))) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ 1 (pow N 3)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (pow N 3) (pow.f64 N #s(literal 3 binary64)))
#s(approx (log (/ (- N -1) N)) (+.f64 N (*.f64 #s(literal -1 binary64) (log.f64 N))))
#s(approx (log (/ (- N -1) N)) (fma.f64 #s(literal -1 binary64) (log.f64 N) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) N)))))
#s(approx (log (/ (- N -1) N)) (fma.f64 #s(literal -1 binary64) (log.f64 N) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))))))
#s(approx (/ (- N -1) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N))
#s(approx (- N -1) #s(literal 1 binary64))
#s(approx (- N -1) (+.f64 #s(literal 1 binary64) N))
#s(approx (/ (- 1 (* 1/2 (/ 1 N))) N) (/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 2 binary64))))
#s(approx (/ (- 1 (* 1/2 (/ 1 N))) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 binary64))))
#s(approx (- 1 (* 1/2 (/ 1 N))) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (- 1 (* 1/2 (/ 1 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(approx (* 1/2 (/ 1 N)) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (log (/ N (- N -1))) (log.f64 N))
#s(approx (log (/ N (- N -1))) (+.f64 (log.f64 N) (*.f64 #s(literal -1 binary64) N)))
#s(approx (log (/ N (- N -1))) (+.f64 (log.f64 N) (.f64 N (-.f64 (.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))))
#s(approx (log (/ N (- N -1))) (+.f64 (log.f64 N) (.f64 N (-.f64 (.f64 N (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/3 binary64) N))) #s(literal 1 binary64)))))
#s(approx (/ N (- N -1)) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N))))
#s(approx (/ N (- N -1)) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 N #s(literal 1 binary64))))))
#s(approx (/ N (- N -1)) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N))) #s(literal 1 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.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 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.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 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))))
#s(approx (+ 1 (/ 1/3 (pow N 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
#s(approx (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))) N))
#s(approx (/ (- N -1) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
#s(approx (- N -1) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (log (/ N (- N -1))) (/.f64 #s(literal -1 binary64) N))
#s(approx (log (/ N (- N -1))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N))
#s(approx (log (/ N (- N -1))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))))) N))
#s(approx (log (/ N (- N -1))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))))) N))
#s(approx (/ N (- N -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
#s(approx (/ N (- N -1)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) N)))
#s(approx (/ N (- N -1)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))))
#s(approx (- (log (+ N 1)) (log 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)) (log 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 1)) (log N)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 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))) N)))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N)))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (.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(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.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))) N))))
#s(approx (log (/ N (- N -1))) (.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 (- N -1))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.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))) N)))
#s(approx (log (/ N (- N -1))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.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))) N))) N)))
#s(approx (/ N (- N -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N))))
#s(approx (/ N (- N -1)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N))) N))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	N	@	-inf	((- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+ 1 (/ 1/3 (pow N 2))) 1 (/ 1/3 (pow N 2)) 1/3 (pow N 2) N 2 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) 1/2 (/ 1 N) (* 1/4 (/ 1 (pow N 3))) 1/4 (/ 1 (pow N 3)) (pow N 3) 3 (- (log (+ N 1)) (log N)) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- 1 (* 1/2 (/ 1 N))) N) (- 1 (* 1/2 (/ 1 N))) (* 1/2 (/ 1 N)) (neg (log (/ N (- N -1)))) (log (/ N (- N -1))) (/ N (- N -1)))
4.0ms	N	@	0	((- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+ 1 (/ 1/3 (pow N 2))) 1 (/ 1/3 (pow N 2)) 1/3 (pow N 2) N 2 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) 1/2 (/ 1 N) (* 1/4 (/ 1 (pow N 3))) 1/4 (/ 1 (pow N 3)) (pow N 3) 3 (- (log (+ N 1)) (log N)) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- 1 (* 1/2 (/ 1 N))) N) (- 1 (* 1/2 (/ 1 N))) (* 1/2 (/ 1 N)) (neg (log (/ N (- N -1)))) (log (/ N (- N -1))) (/ N (- N -1)))
3.0ms	N	@	inf	((- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+ 1 (/ 1/3 (pow N 2))) 1 (/ 1/3 (pow N 2)) 1/3 (pow N 2) N 2 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) 1/2 (/ 1 N) (* 1/4 (/ 1 (pow N 3))) 1/4 (/ 1 (pow N 3)) (pow N 3) 3 (- (log (+ N 1)) (log N)) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- 1 (* 1/2 (/ 1 N))) N) (- 1 (* 1/2 (/ 1 N))) (* 1/2 (/ 1 N)) (neg (log (/ N (- N -1)))) (log (/ N (- N -1))) (/ N (- N -1)))

Time

Variable

Point

Expression

4.0ms

-inf

((- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+ 1 (/ 1/3 (pow N 2))) 1 (/ 1/3 (pow N 2)) 1/3 (pow N 2) N 2 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) 1/2 (/ 1 N) (* 1/4 (/ 1 (pow N 3))) 1/4 (/ 1 (pow N 3)) (pow N 3) 3 (- (log (+ N 1)) (log N)) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- 1 (* 1/2 (/ 1 N))) N) (- 1 (* 1/2 (/ 1 N))) (* 1/2 (/ 1 N)) (neg (log (/ N (- N -1)))) (log (/ N (- N -1))) (/ N (- N -1)))

4.0ms

((- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+ 1 (/ 1/3 (pow N 2))) 1 (/ 1/3 (pow N 2)) 1/3 (pow N 2) N 2 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) 1/2 (/ 1 N) (* 1/4 (/ 1 (pow N 3))) 1/4 (/ 1 (pow N 3)) (pow N 3) 3 (- (log (+ N 1)) (log N)) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- 1 (* 1/2 (/ 1 N))) N) (- 1 (* 1/2 (/ 1 N))) (* 1/2 (/ 1 N)) (neg (log (/ N (- N -1)))) (log (/ N (- N -1))) (/ N (- N -1)))

3.0ms

inf

((- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+ 1 (/ 1/3 (pow N 2))) 1 (/ 1/3 (pow N 2)) 1/3 (pow N 2) N 2 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) 1/2 (/ 1 N) (* 1/4 (/ 1 (pow N 3))) 1/4 (/ 1 (pow N 3)) (pow N 3) 3 (- (log (+ N 1)) (log N)) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) -1 (- (log (+ N 1)) (log N)) (/ (- 1 (* 1/2 (/ 1 N))) N) (- 1 (* 1/2 (/ 1 N))) (* 1/2 (/ 1 N)) (neg (log (/ N (- N -1)))) (log (/ N (- N -1))) (/ N (- N -1)))

rewrite130.0ms (4.3%)

Memory

-8.5MiB live, 104.5MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	206
0	53	178
1	270	178
0	2412	159
1	7101	159

Stop Event

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

Counts

30 → 316

Calls

Call 1

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

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 N N) N)))) N))
(.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 N N) N)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N))) (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N)))) (/.f64 #s(literal 1 binary64) N))
(.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N)))))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N)))) N))
(/.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N)))) #s(literal -1 binary64)) (neg.f64 N))
(/.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N)))) #s(literal 1 binary64)) N)
(/.f64 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) N) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N)))) N)
(/.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) N) (.f64 N (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N))))) (.f64 N N))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N))) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64))) (neg.f64 N))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 N N) N)))) N)
(neg.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N))) (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) N)))
(neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 N N) N)))) (neg.f64 N)))
(neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N))) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64))) N))
(neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N))) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) N)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 N N) N)))) N))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 N N) N)))) N))
(fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 N N) N))) N)))
(fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 N N) N)) (/.f64 #s(literal 1/2 binary64) N)) N))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 N N) N)))) N))
(-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 N N) N)) N))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 N N) N))) N))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) N) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 N N) N))) N)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) N) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 N N) N)) (/.f64 #s(literal 1/2 binary64) N)) N))
(+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 N N) N)))) N))
(/.f64 (-.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (.f64 (.f64 N N) N)) #s(literal 1/4 binary64)) (.f64 (.f64 N N) N))
(neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N))) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64))))
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(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 N N) N)) (/.f64 #s(literal 1/2 binary64) N))))
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(neg.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N))))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 N N) N)))
(neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 N) N) N)))
(.f64 (.f64 N N) N)
(.f64 N (.f64 N N))
(pow.f64 N #s(literal 3 binary64))
(fabs.f64 (.f64 (.f64 N N) N))
#s(literal 3 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (neg.f64 (log.f64 N))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64))))
(+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N)))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(.f64 (.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N))
(*.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N))))
(*.f64 (/.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N))
(*.f64 (-.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N))
(*.f64 (-.f64 N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N))))
(*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(pow.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 N))
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N)
(/.f64 (-.f64 (.f64 N N) (neg.f64 N)) (.f64 N N))
(/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -1 binary64) N) (neg.f64 N))
(/.f64 (-.f64 N #s(literal -1 binary64)) N)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 N #s(literal -1 binary64))))
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (/.f64 #s(literal 1 binary64) N)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(neg.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (neg.f64 N)))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) N) N))
(neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N))
(+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) N))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(-.f64 N #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) N))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal -1 binary64)) (neg.f64 N))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) N)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) N) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (-.f64 (neg.f64 N) (.f64 (neg.f64 N) (/.f64 #s(literal 1/2 binary64) N))) (.f64 (neg.f64 N) N))
(/.f64 (-.f64 N (.f64 N (/.f64 #s(literal 1/2 binary64) N))) (.f64 N N))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (neg.f64 N)))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
(neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(+.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N)
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) N))
(neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1/2 binary64) N)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(*.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 2 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 N))
(/.f64 #s(literal 1/2 binary64) N)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (neg.f64 (log.f64 N))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64))))
(+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N)))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))
(-.f64 (log.f64 N) (log.f64 (-.f64 N #s(literal -1 binary64))))
(+.f64 (log.f64 N) (neg.f64 (log.f64 (-.f64 N #s(literal -1 binary64)))))
(log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N)) N)
(*.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) N)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 N #s(literal -1 binary64)) N)))
(*.f64 #s(literal 1 binary64) (/.f64 N (-.f64 N #s(literal -1 binary64))))
(*.f64 N (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N)))
(pow.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64))
(/.f64 (neg.f64 N) (-.f64 #s(literal -1 binary64) N))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 N (-.f64 N #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 N #s(literal -1 binary64)) N)))
(neg.f64 (/.f64 (neg.f64 N) (-.f64 N #s(literal -1 binary64))))
(neg.f64 (/.f64 N (-.f64 #s(literal -1 binary64) N)))

eval137.0ms (4.5%)

Memory: -24.5MiB live, 65.7MiB allocated; 10ms collecting garbage
Compiler: Compiled 3 204 to 1 589 computations (50.4% saved)

prune11.0ms (0.4%)

Memory

29.4MiB live, 29.4MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	378	9	387
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	382	12	394

Accuracy

100.0%

Counts

394 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.3%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
▶	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
✓	27.7%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (.f64 (.f64 N N) N)) #s(literal 1/4 binary64)) (.f64 (.f64 N N) N)) N))
	91.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (.f64 N (/.f64 #s(literal 1/2 binary64) N))) (.f64 N N)))
▶	92.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	96.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 N N) N))))) N))
▶	94.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (.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)))) N))
✓	83.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	92.0%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
	92.0%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
▶	95.4%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))

Compiler

Compiled 358 to 350 computations (2.2% saved)

series21.0ms (0.7%)

Memory

-8.9MiB live, 35.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	1569

Stop Event

1×	iter-limit

Counts

34 → 81

Calls

Call 1

Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 #s(literal 1/2 binary64) (*.f64 N N))
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (.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)))) N))
(/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (.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)))) N)
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (.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))))
(+.f64 #s(literal 1 binary64) (.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)))
(.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)
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))
#s(literal 1/3 binary64)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64))
(.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))
(*.f64 N (-.f64 N #s(literal 1/2 binary64)))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
(pow.f64 N #s(literal 4 binary64))
#s(literal 4 binary64)

Outputs
#s(approx (log (+ 1 (/ 1 N))) (*.f64 #s(literal -1 binary64) (log.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (+.f64 N (*.f64 #s(literal -1 binary64) (log.f64 N))))
#s(approx (log (+ 1 (/ 1 N))) (fma.f64 #s(literal -1 binary64) (log.f64 N) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) N)))))
#s(approx (log (+ 1 (/ 1 N))) (fma.f64 #s(literal -1 binary64) (log.f64 N) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))))))
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx N N)
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) N))) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))) (log.f64 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 2 binary64))))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 binary64))))
#s(approx (- 1 (/ 1/2 N)) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(approx (/ 1/2 N) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (/ 1/2 (* N N)) (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 2 binary64))))
#s(approx (* N N) (pow.f64 N #s(literal 2 binary64)))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/2 binary64) N))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/2 binary64) N))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))))
#s(approx (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N)) (pow.f64 N #s(literal 2 binary64))))
#s(approx (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64)))) (pow.f64 N #s(literal 2 binary64))))
#s(approx (/ (- 1/2 (* 1/3 (/ 1 N))) N) (/.f64 #s(literal -1/3 binary64) (pow.f64 N #s(literal 2 binary64))))
#s(approx (/ (- 1/2 (* 1/3 (/ 1 N))) N) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 2 binary64))))
#s(approx (- 1/2 (* 1/3 (/ 1 N))) (/.f64 #s(literal -1/3 binary64) N))
#s(approx (- 1/2 (* 1/3 (/ 1 N))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) N) #s(literal 1/3 binary64)) N))
#s(approx (* 1/3 (/ 1 N)) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) #s(literal -1/4 binary64))
#s(approx (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)))
#s(approx (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/2 binary64) N))) #s(literal 1/4 binary64)))
#s(approx (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)))
#s(approx (* N (+ 1/3 (* N (- N 1/2)))) (*.f64 #s(literal 1/3 binary64) N))
#s(approx (* N (+ 1/3 (* N (- N 1/2)))) (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/2 binary64) N))))
#s(approx (* N (+ 1/3 (* N (- N 1/2)))) (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64))))))
#s(approx (+ 1/3 (* N (- N 1/2))) #s(literal 1/3 binary64))
#s(approx (+ 1/3 (* N (- N 1/2))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N)))
#s(approx (+ 1/3 (* N (- N 1/2))) (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64)))))
#s(approx (* N (- N 1/2)) (*.f64 #s(literal -1/2 binary64) N))
#s(approx (* N (- N 1/2)) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))
#s(approx (- N 1/2) #s(literal -1/2 binary64))
#s(approx (- N 1/2) (-.f64 N #s(literal 1/2 binary64)))
#s(approx (pow N 4) (pow.f64 N #s(literal 4 binary64)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.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 (+ 1 (/ 1 N))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N))
#s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64))
#s(approx (- 1 (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.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 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))))
#s(approx (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N))
#s(approx (/ (- 1/2 (* 1/3 (/ 1 N))) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N))
#s(approx (- 1/2 (* 1/3 (/ 1 N))) #s(literal 1/2 binary64))
#s(approx (- 1/2 (* 1/3 (/ 1 N))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow.f64 N #s(literal 3 binary64)))
#s(approx (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))))
#s(approx (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.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 (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))))))
#s(approx (+ 1/3 (* N (- N 1/2))) (.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))))
#s(approx (+ 1/3 (* N (- N 1/2))) (.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.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 (- N 1/2) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))))
#s(approx (log (+ 1 (/ 1 N))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (/ 1 N))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (/ 1 N))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal -1 binary64) N))
#s(approx (- (log (+ N 1)) (log 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)) (log 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 1)) (log N)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 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))) N)))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (.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(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.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))) N))))
#s(approx (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) (.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(approx (/ (- 1/2 (* 1/3 (/ 1 N))) N) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)))
#s(approx (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))))
#s(approx (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)))))
#s(approx (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)))))
#s(approx (+ 1/3 (* N (- N 1/2))) (.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.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(approx (- N 1/2) (.f64 #s(literal -1 binary64) (.f64 N (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))))

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	N	@	-inf	((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1/2 (* N N)) (* N N) (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N) (- 1/2 (* 1/3 (/ 1 N))) (* 1/3 (/ 1 N)) 1/3 (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (* N (+ 1/3 (* N (- N 1/2)))) (+ 1/3 (* N (- N 1/2))) (* N (- N 1/2)) (- N 1/2) 1/4 (pow N 4) 4)
3.0ms	N	@	inf	((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1/2 (* N N)) (* N N) (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N) (- 1/2 (* 1/3 (/ 1 N))) (* 1/3 (/ 1 N)) 1/3 (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (* N (+ 1/3 (* N (- N 1/2)))) (+ 1/3 (* N (- N 1/2))) (* N (- N 1/2)) (- N 1/2) 1/4 (pow N 4) 4)
3.0ms	N	@	0	((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1/2 (* N N)) (* N N) (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N) (- 1/2 (* 1/3 (/ 1 N))) (* 1/3 (/ 1 N)) 1/3 (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (* N (+ 1/3 (* N (- N 1/2)))) (+ 1/3 (* N (- N 1/2))) (* N (- N 1/2)) (- N 1/2) 1/4 (pow N 4) 4)

Time

Variable

Point

Expression

8.0ms

-inf

((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1/2 (* N N)) (* N N) (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N) (- 1/2 (* 1/3 (/ 1 N))) (* 1/3 (/ 1 N)) 1/3 (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (* N (+ 1/3 (* N (- N 1/2)))) (+ 1/3 (* N (- N 1/2))) (* N (- N 1/2)) (- N 1/2) 1/4 (pow N 4) 4)

3.0ms

inf

((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1/2 (* N N)) (* N N) (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N) (- 1/2 (* 1/3 (/ 1 N))) (* 1/3 (/ 1 N)) 1/3 (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (* N (+ 1/3 (* N (- N 1/2)))) (+ 1/3 (* N (- N 1/2))) (* N (- N 1/2)) (- N 1/2) 1/4 (pow N 4) 4)

3.0ms

((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1/2 (* N N)) (* N N) (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N) (- 1/2 (* 1/3 (/ 1 N))) (* 1/3 (/ 1 N)) 1/3 (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (* N (+ 1/3 (* N (- N 1/2)))) (+ 1/3 (* N (- N 1/2))) (* N (- N 1/2)) (- N 1/2) 1/4 (pow N 4) 4)

rewrite230.0ms (7.6%)

Memory

-5.6MiB live, 181.6MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	379
0	73	330
1	457	307
2	4555	307
0	8630	297
1	25997	297

Stop Event

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

Counts

34 → 425

Calls

Call 1

Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 #s(literal 1/2 binary64) (*.f64 N N))
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (.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)))) N))
(/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (.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)))) N)
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (.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))))
(+.f64 #s(literal 1 binary64) (.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)))
(.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)
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))) N)
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N))
#s(literal 1/3 binary64)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64))
(.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))
(*.f64 N (-.f64 N #s(literal 1/2 binary64)))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
(pow.f64 N #s(literal 4 binary64))
#s(literal 4 binary64)

Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (neg.f64 (log.f64 N))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64))))
(+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal -1 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 N)))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N))
(/.f64 (.f64 N N) (.f64 (*.f64 N N) N))
(/.f64 N (*.f64 N N))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1 binary64) N)
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(fabs.f64 (/.f64 #s(literal 1 binary64) N))
(exp.f64 (+.f64 (neg.f64 (log.f64 N)) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 N))))
(exp.f64 (neg.f64 (log.f64 N)))
(+.f64 (cosh.f64 (neg.f64 (log.f64 N))) (sinh.f64 (neg.f64 (log.f64 N))))
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N))
(.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) N))
(.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N N)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (.f64 N N)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal -1 binary64)) (neg.f64 N))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) N)
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (fabs.f64 N)) (fabs.f64 N))
(/.f64 (/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)) N)
(/.f64 (/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) N) (*.f64 N N))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) N) (.f64 (neg.f64 N) N)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 N) N)) (.f64 (neg.f64 N) #s(literal -1/2 binary64))) (.f64 (*.f64 N N) N))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) N) (.f64 (neg.f64 N) (/.f64 #s(literal 1/2 binary64) N))) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 N N)) (.f64 (neg.f64 N) #s(literal 1/2 binary64))) (.f64 (*.f64 (neg.f64 N) N) N))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 N) N)) (.f64 N #s(literal -1/2 binary64))) (.f64 (*.f64 (neg.f64 N) N) N))
(/.f64 (-.f64 N (.f64 N (/.f64 #s(literal 1/2 binary64) N))) (.f64 N N))
(/.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 N) N))
(/.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 N N))
(/.f64 (neg.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N))) (.f64 (.f64 (neg.f64 N) N) N))
(/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) (.f64 (.f64 N N) N))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (neg.f64 (neg.f64 N)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (neg.f64 N)))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N (/.f64 #s(literal -1/2 binary64) (.f64 N N)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))) (/.f64 #s(literal 1 binary64) N))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (.f64 #s(literal 1/2 binary64) N) (.f64 (*.f64 N N) N)))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))
(+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(*.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) N))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) #s(literal -1/2 binary64)) (neg.f64 N))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (neg.f64 N)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 N)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) N))
(/.f64 (-.f64 #s(literal 1/2 binary64) N) (neg.f64 N))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N)
(neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 N N) (/.f64 #s(literal 1/2 binary64) N))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(pow.f64 (*.f64 #s(literal 2 binary64) N) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 2 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 N))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 N)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1/2 binary64) N)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) N))
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N))
(.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) N))
(.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N N)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (.f64 N N)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal -1 binary64)) (neg.f64 N))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) N)
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (fabs.f64 N)) (fabs.f64 N))
(/.f64 (/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)) N)
(/.f64 (/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) N) (*.f64 N N))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) N) (.f64 (neg.f64 N) N)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 N) N)) (.f64 (neg.f64 N) #s(literal -1/2 binary64))) (.f64 (*.f64 N N) N))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) N) (.f64 (neg.f64 N) (/.f64 #s(literal 1/2 binary64) N))) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 N N)) (.f64 (neg.f64 N) #s(literal 1/2 binary64))) (.f64 (*.f64 (neg.f64 N) N) N))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 N) N)) (.f64 N #s(literal -1/2 binary64))) (.f64 (*.f64 (neg.f64 N) N) N))
(/.f64 (-.f64 N (.f64 N (/.f64 #s(literal 1/2 binary64) N))) (.f64 N N))
(/.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 N) N))
(/.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 N N))
(/.f64 (neg.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N))) (.f64 (.f64 (neg.f64 N) N) N))
(/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) (.f64 (.f64 N N) N))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (neg.f64 (neg.f64 N)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (neg.f64 N)))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N (/.f64 #s(literal -1/2 binary64) (.f64 N N)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N))) (/.f64 #s(literal 1 binary64) N))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (.f64 #s(literal 1/2 binary64) N) (.f64 (*.f64 N N) N)))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))
(+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 N)) (/.f64 #s(literal 1 binary64) (fabs.f64 N)))
(*.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal -1 binary64) N))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) #s(literal 1/2 binary64))
(.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 N) N)))
(*.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1 binary64) N))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) N))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 N N)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 N)) (fabs.f64 N))
(/.f64 (/.f64 #s(literal -1/2 binary64) N) (neg.f64 N))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 N) N))
(/.f64 (/.f64 #s(literal 1/2 binary64) N) N)
(/.f64 #s(literal 1/2 binary64) (*.f64 N N))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 N N)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 N)) (*.f64 #s(literal 1 binary64) (fabs.f64 N)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 N)) (fabs.f64 N))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 #s(literal 1 binary64) (neg.f64 N)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 N)) (neg.f64 N))
(*.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)))
(*.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)))
(*.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)))
(*.f64 (fabs.f64 N) (fabs.f64 N))
(*.f64 (neg.f64 N) (neg.f64 N))
(.f64 (.f64 N N) #s(literal 1 binary64))
(*.f64 N N)
(.f64 #s(literal 1 binary64) (.f64 N N))
(pow.f64 (*.f64 (fabs.f64 N) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 N)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 N) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 N)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 N)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 N)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 N) #s(literal 2 binary64))
(pow.f64 (neg.f64 N) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 N N)) #s(literal 2 binary64))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 N N)))
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(.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 N N) N) N)))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 (.f64 N N) N) N)))
(/.f64 (.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 N N) N) N))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (.f64 (.f64 (.f64 N N) N) N))) (.f64 (.f64 (.f64 N N) N) N)) #s(literal 1/4 binary64)) (.f64 (.f64 (*.f64 N N) N) N))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) (.f64 (.f64 (.f64 N N) N) N)) (.f64 (.f64 (.f64 (*.f64 N N) N) N) #s(literal 1/4 binary64))) (pow.f64 N #s(literal 8 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (neg.f64 (.f64 (.f64 (.f64 N N) N) N)))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (neg.f64 (neg.f64 (.f64 (.f64 (*.f64 N N) N) N))))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 (*.f64 N N) N) N))
(neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 N N) N) N))))
(neg.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (neg.f64 (.f64 (.f64 (*.f64 N N) N) N))))
(neg.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (.f64 (.f64 (.f64 N N) N) N)))
(neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 N N) N) N)) (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (.f64 (.f64 (*.f64 N N) N) N)))))
(fma.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 N N) N) N)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 N N) N) N))))
(fma.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 N N) N) N)) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 (*.f64 N N) N) N)))
(fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (.f64 (.f64 (.f64 N N) N) N)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 N N) N) N))))
(fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (.f64 (.f64 (.f64 N N) N) N)) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 N N) N) N)))
(fma.f64 N (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 (.f64 N N) N) N)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 N N) N) N))))
(fma.f64 N (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 (.f64 N N) N) N)) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 N N) N) N)))
(-.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (.f64 (.f64 (.f64 N N) N) N))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 N N) N) N)))
(+.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (.f64 (.f64 (.f64 N N) N) N))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 N N) N) N))))
(+.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (.f64 (.f64 (.f64 N N) N) N))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 (*.f64 N N) N) N)))
(neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)))
(fma.f64 (.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) N #s(literal -1/4 binary64)))
(fma.f64 (.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64) (-.f64 (.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) #s(literal 1/4 binary64)))
(fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64))
(fma.f64 #s(literal 1/3 binary64) N (fma.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) N #s(literal -1/4 binary64)))
(fma.f64 #s(literal 1/3 binary64) N (-.f64 (.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) #s(literal 1/4 binary64)))
(fma.f64 N (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) #s(literal -1/4 binary64))
(fma.f64 N #s(literal 1/3 binary64) (fma.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) N #s(literal -1/4 binary64)))
(fma.f64 N #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) #s(literal 1/4 binary64)))
(-.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal 1/4 binary64))
(+.f64 (.f64 #s(literal 1/3 binary64) N) (fma.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) N #s(literal -1/4 binary64)))
(+.f64 (.f64 #s(literal 1/3 binary64) N) (-.f64 (.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) #s(literal 1/4 binary64)))
(+.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N))
(+.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal -1/4 binary64))
(*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)
(*.f64 N (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)))
(fma.f64 (.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64) (.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
(fma.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) N (.f64 #s(literal 1/3 binary64) N))
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) (.f64 N N) (.f64 #s(literal 1/3 binary64) N))
(fma.f64 #s(literal 1/3 binary64) N (.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
(fma.f64 (.f64 N N) (-.f64 N #s(literal 1/2 binary64)) (.f64 #s(literal 1/3 binary64) N))
(fma.f64 N (.f64 (-.f64 N #s(literal 1/2 binary64)) N) (.f64 #s(literal 1/3 binary64) N))
(fma.f64 N #s(literal 1/3 binary64) (.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
(-.f64 (.f64 #s(literal 1/3 binary64) N) (.f64 (neg.f64 N) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N)))
(-.f64 (.f64 #s(literal 1/3 binary64) N) (.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) N))
(-.f64 (.f64 #s(literal 1/3 binary64) N) (neg.f64 (.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)))
(+.f64 (.f64 #s(literal 1/3 binary64) N) (.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
(+.f64 (.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) (*.f64 #s(literal 1/3 binary64) N))
(*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) #s(literal 1 binary64))
(neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal 1/3 binary64)))
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))
(fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/3 binary64))
(-.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal -1/3 binary64))
(-.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) N) N))
(+.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (neg.f64 N)) (-.f64 N #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 N #s(literal 1/2 binary64)) N))
(*.f64 (-.f64 N #s(literal 1/2 binary64)) N)
(*.f64 N (-.f64 N #s(literal 1/2 binary64)))
(neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 N)) (.f64 #s(literal 1 binary64) (fabs.f64 N)) (*.f64 N #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 N)) (.f64 #s(literal 1 binary64) (fabs.f64 N)) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 N)) (fabs.f64 N) (.f64 N #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 N)) (fabs.f64 N) (.f64 #s(literal -1/2 binary64) N))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 N)) (.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 N #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 N)) (.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 N)) (neg.f64 N) (.f64 N #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 N)) (neg.f64 N) (.f64 #s(literal -1/2 binary64) N))
(fma.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)) (*.f64 N #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) (*.f64 N #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)) (*.f64 N #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 (fabs.f64 N) (fabs.f64 N) (*.f64 N #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 N) (fabs.f64 N) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 (neg.f64 N) (neg.f64 N) (*.f64 N #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 N) (neg.f64 N) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 (.f64 N N) #s(literal 1 binary64) (.f64 N #s(literal -1/2 binary64)))
(fma.f64 (.f64 N N) #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) N))
(fma.f64 N N (*.f64 N #s(literal -1/2 binary64)))
(fma.f64 N N (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 #s(literal 1 binary64) (.f64 N N) (.f64 N #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 N N) (.f64 #s(literal -1/2 binary64) N))
(+.f64 (.f64 N N) (.f64 N #s(literal -1/2 binary64)))
(+.f64 (.f64 N N) (.f64 #s(literal -1/2 binary64) N))
(neg.f64 (-.f64 #s(literal 1/2 binary64) N))
(-.f64 N #s(literal 1/2 binary64))
(+.f64 #s(literal -1/2 binary64) N)
(+.f64 N #s(literal -1/2 binary64))
#s(literal 1/4 binary64)
(.f64 (.f64 (neg.f64 N) N) (*.f64 (neg.f64 N) N))
(.f64 (.f64 (*.f64 N N) N) N)
(.f64 (.f64 N N) (*.f64 N N))
(pow.f64 (*.f64 (neg.f64 N) (fabs.f64 N)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 N) (neg.f64 N)) #s(literal 2 binary64))
(pow.f64 (*.f64 N (fabs.f64 N)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 N) N) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 N) N) #s(literal 2 binary64))
(pow.f64 (fabs.f64 N) #s(literal 4 binary64))
(pow.f64 (neg.f64 N) #s(literal 4 binary64))
(pow.f64 (*.f64 N N) #s(literal 2 binary64))
(pow.f64 N #s(literal 4 binary64))
(fabs.f64 (.f64 (.f64 (*.f64 N N) N) N))
(+.f64 (/.f64 (fma.f64 (.f64 (.f64 N N) N) N (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 N N) N) N))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 (.f64 N N) N) N) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 N N) N) N))) #s(literal 2 binary64)))
#s(literal 4 binary64)

eval120.0ms (3.9%)

Memory: 5.6MiB live, 104.2MiB allocated; 16ms collecting garbage
Compiler: Compiled 4 362 to 2 320 computations (46.8% saved)

prune14.0ms (0.4%)

Memory

29.8MiB live, 29.8MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	476	8	484
Fresh	3	1	4
Picked	2	3	5
Done	0	3	3
Total	481	15	496

Accuracy

100.0%

Counts

496 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.3%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
▶	99.6%	(log1p.f64 (/.f64 (.f64 N N) (.f64 (*.f64 N N) N)))
	99.5%	(log1p.f64 (/.f64 N (*.f64 N N)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	99.4%	(log1p.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N))
✓	27.7%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
▶	91.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) (.f64 (.f64 N N) N)))
▶	91.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
✓	92.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	94.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (+.f64 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N)) N))
	94.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) N))
✓	83.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
✓	92.0%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
▶	92.0%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
	91.7%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N N))))

Compiler

Compiled 305 to 301 computations (1.3% saved)

series17.0ms (0.6%)

Memory

-18.9MiB live, 25.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	1146

Stop Event

1×	iter-limit

Counts

27 → 57

Calls

Call 1

Inputs
(log1p.f64 (/.f64 (.f64 N N) (.f64 (*.f64 N N) N)))
(/.f64 (.f64 N N) (.f64 (*.f64 N N) N))
(*.f64 N N)
N
(.f64 (.f64 N N) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (+.f64 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N)) N))
(/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (+.f64 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N)) N)
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (+.f64 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N))
(/.f64 (+.f64 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N)
(+.f64 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) (.f64 (.f64 N N) N)))
(/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) (.f64 (.f64 N N) N))
(-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N))
(*.f64 #s(literal 1/2 binary64) N)

Outputs
#s(approx (log (+ 1 (/ (* N N) (* (* N N) N)))) (*.f64 #s(literal -1 binary64) (log.f64 N)))
#s(approx (log (+ 1 (/ (* N N) (* (* N N) N)))) (+.f64 N (*.f64 #s(literal -1 binary64) (log.f64 N))))
#s(approx (log (+ 1 (/ (* N N) (* (* N N) N)))) (fma.f64 #s(literal -1 binary64) (log.f64 N) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) N)))))
#s(approx (log (+ 1 (/ (* N N) (* (* N N) N)))) (fma.f64 #s(literal -1 binary64) (log.f64 N) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))))))
#s(approx (/ (* N N) (* (* N N) N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (* N N) (pow.f64 N #s(literal 2 binary64)))
#s(approx N N)
#s(approx (* (* N N) N) (pow.f64 N #s(literal 3 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) N))) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))))) (log.f64 N)))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 2 binary64))))
#s(approx (/ (- N 1/2) (* N N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 2 binary64))))
#s(approx (- N 1/2) #s(literal -1/2 binary64))
#s(approx (- N 1/2) (-.f64 N #s(literal 1/2 binary64)))
#s(approx (- 1 (/ 1/2 N)) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(approx (/ 1/2 N) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/2 binary64) N))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/2 binary64) N))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (+ N (- (/ 1/3 N) 1/2)) N) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64))))
#s(approx (/ (+ N (- (/ 1/3 N) 1/2)) N) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N)) (pow.f64 N #s(literal 2 binary64))))
#s(approx (/ (+ N (- (/ 1/3 N) 1/2)) N) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64)))) (pow.f64 N #s(literal 2 binary64))))
#s(approx (+ N (- (/ 1/3 N) 1/2)) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (+ N (- (/ 1/3 N) 1/2)) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) N)) N))
#s(approx (+ N (- (/ 1/3 N) 1/2)) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 N (-.f64 N #s(literal 1/2 binary64)))) N))
#s(approx (- (* N N) (* 1/2 N)) (*.f64 #s(literal -1/2 binary64) N))
#s(approx (- (* N N) (* 1/2 N)) (*.f64 N (-.f64 N #s(literal 1/2 binary64))))
#s(approx (* 1/2 N) (*.f64 #s(literal 1/2 binary64) N))
#s(approx (log (+ 1 (/ (* N N) (* (* N N) N)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
#s(approx (log (+ 1 (/ (* N N) (* (* N N) N)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.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 (+ 1 (/ (* N N) (* (* N N) N)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N))
#s(approx (- N 1/2) (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))))
#s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64))
#s(approx (- 1 (/ 1/2 N)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.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 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))))
#s(approx (+ N (- (/ 1/3 N) 1/2)) (.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (/.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 (- (/ 1/3 N) 1/2) (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)))
#s(approx (- (* N N) (* 1/2 N)) (.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))))
#s(approx (log (+ 1 (/ (* N N) (* (* N N) N)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (/ (* N N) (* (* N N) N)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (/ (* N N) (* (* N N) N)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal -1 binary64) N))
#s(approx (- (log (+ N 1)) (log 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)) (log 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 1)) (log N)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 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))) N)))
#s(approx (- N 1/2) (.f64 #s(literal -1 binary64) (.f64 N (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))))
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (.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(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.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))) N))))
#s(approx (+ N (- (/ 1/3 N) 1/2)) (.f64 #s(literal -1 binary64) (.f64 N (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	N	@	-inf	((log (+ 1 (/ (* N N) (* (* N N) N)))) (/ (* N N) (* (* N N) N)) (* N N) N (* (* N N) N) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1 N) 1 (- 1 (/ 1/2 N)) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/ (+ N (- (/ 1/3 N) 1/2)) N) (+ N (- (/ 1/3 N) 1/2)) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (- (* N N) (* 1/2 N)) (* (* N N) N)) (- (* N N) (* 1/2 N)) (* 1/2 N))
2.0ms	N	@	inf	((log (+ 1 (/ (* N N) (* (* N N) N)))) (/ (* N N) (* (* N N) N)) (* N N) N (* (* N N) N) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1 N) 1 (- 1 (/ 1/2 N)) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/ (+ N (- (/ 1/3 N) 1/2)) N) (+ N (- (/ 1/3 N) 1/2)) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (- (* N N) (* 1/2 N)) (* (* N N) N)) (- (* N N) (* 1/2 N)) (* 1/2 N))
2.0ms	N	@	0	((log (+ 1 (/ (* N N) (* (* N N) N)))) (/ (* N N) (* (* N N) N)) (* N N) N (* (* N N) N) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1 N) 1 (- 1 (/ 1/2 N)) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/ (+ N (- (/ 1/3 N) 1/2)) N) (+ N (- (/ 1/3 N) 1/2)) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (- (* N N) (* 1/2 N)) (* (* N N) N)) (- (* N N) (* 1/2 N)) (* 1/2 N))

Time

Variable

Point

Expression

3.0ms

-inf

((log (+ 1 (/ (* N N) (* (* N N) N)))) (/ (* N N) (* (* N N) N)) (* N N) N (* (* N N) N) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1 N) 1 (- 1 (/ 1/2 N)) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/ (+ N (- (/ 1/3 N) 1/2)) N) (+ N (- (/ 1/3 N) 1/2)) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (- (* N N) (* 1/2 N)) (* (* N N) N)) (- (* N N) (* 1/2 N)) (* 1/2 N))

2.0ms

inf

((log (+ 1 (/ (* N N) (* (* N N) N)))) (/ (* N N) (* (* N N) N)) (* N N) N (* (* N N) N) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1 N) 1 (- 1 (/ 1/2 N)) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/ (+ N (- (/ 1/3 N) 1/2)) N) (+ N (- (/ 1/3 N) 1/2)) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (- (* N N) (* 1/2 N)) (* (* N N) N)) (- (* N N) (* 1/2 N)) (* 1/2 N))

2.0ms

((log (+ 1 (/ (* N N) (* (* N N) N)))) (/ (* N N) (* (* N N) N)) (* N N) N (* (* N N) N) (- (log (+ N 1)) (log N)) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1 N) 1 (- 1 (/ 1/2 N)) (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/ (+ N (- (/ 1/3 N) 1/2)) N) (+ N (- (/ 1/3 N) 1/2)) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (- (* N N) (* 1/2 N)) (* (* N N) N)) (- (* N N) (* 1/2 N)) (* 1/2 N))

rewrite211.0ms (6.9%)

Memory

5.9MiB live, 191.3MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	266
0	63	230
1	393	204
2	3922	204
0	8224	204
1	26572	204

Stop Event

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

Counts

27 → 690

Calls

Call 1

Inputs
(log1p.f64 (/.f64 (.f64 N N) (.f64 (*.f64 N N) N)))
(/.f64 (.f64 N N) (.f64 (*.f64 N N) N))
(*.f64 N N)
N
(.f64 (.f64 N N) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (+.f64 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N)) N))
(/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (+.f64 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N)) N)
#s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (+.f64 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N))
(/.f64 (+.f64 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N)
(+.f64 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) (.f64 (.f64 N N) N)))
(/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) (.f64 (.f64 N N) N))
(-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N))
(*.f64 #s(literal 1/2 binary64) N)

Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (neg.f64 (log.f64 N))))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (log.f64 (-.f64 N #s(literal -1 binary64))))
(+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (log.f64 N)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal -1 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(.f64 (/.f64 (fabs.f64 N) (.f64 N N)) (/.f64 (fabs.f64 N) N))
(.f64 (/.f64 (neg.f64 N) (.f64 N N)) (/.f64 (neg.f64 N) N))
(.f64 (/.f64 (fabs.f64 N) N) (/.f64 (fabs.f64 N) (.f64 N N)))
(.f64 (/.f64 (neg.f64 N) N) (/.f64 (neg.f64 N) (.f64 N N)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N)
(.f64 (.f64 (neg.f64 N) N) (/.f64 #s(literal -1 binary64) (.f64 (.f64 N N) N)))
(.f64 (fabs.f64 N) (.f64 (fabs.f64 N) (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))))
(.f64 (fabs.f64 N) (/.f64 (fabs.f64 N) (.f64 (*.f64 N N) N)))
(.f64 (neg.f64 N) (.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))))
(.f64 (neg.f64 N) (/.f64 (neg.f64 N) (.f64 (*.f64 N N) N)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) (.f64 N N))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(.f64 (.f64 N N) (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)))
(.f64 N (/.f64 #s(literal 1 binary64) (.f64 N N)))
(pow.f64 (neg.f64 (neg.f64 N)) #s(literal -1 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 (.f64 (.f64 N N) #s(literal -1 binary64)) (.f64 (.f64 (neg.f64 N) N) N))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 N N) N) (.f64 N N))
(/.f64 (/.f64 N (fabs.f64 N)) (fabs.f64 N))
(/.f64 (/.f64 N (neg.f64 N)) (neg.f64 N))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 N) N)) (.f64 #s(literal 2 binary64) (.f64 (*.f64 (neg.f64 N) N) N)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 N N)) (.f64 #s(literal 2 binary64) (.f64 (*.f64 N N) N)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 N) N)) (.f64 (.f64 (neg.f64 N) N) N))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 N)))
(/.f64 (.f64 (neg.f64 N) N) (.f64 (*.f64 (neg.f64 N) N) N))
(/.f64 (neg.f64 N) (*.f64 (neg.f64 N) N))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1 binary64) N)
(/.f64 (.f64 N N) (neg.f64 (.f64 (*.f64 (neg.f64 N) N) N)))
(/.f64 (.f64 N N) (.f64 (*.f64 N N) N))
(/.f64 N (*.f64 N N))
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(fabs.f64 (/.f64 #s(literal 1 binary64) N))
(exp.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 N))))
(exp.f64 (+.f64 (neg.f64 (log.f64 N)) #s(literal 0 binary64)))
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N
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(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 N)) (fabs.f64 N) (.f64 #s(literal -1/2 binary64) N))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 N)) (.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 N)) (neg.f64 N) (.f64 #s(literal -1/2 binary64) N))
(fma.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 #s(literal -1/2 binary64) N (*.f64 N N))
(fma.f64 (fabs.f64 N) (fabs.f64 N) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 (neg.f64 N) (neg.f64 N) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 (neg.f64 N) #s(literal 1/2 binary64) (*.f64 N N))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 N) (*.f64 N N))
(fma.f64 #s(literal 1 binary64) (.f64 N N) (.f64 #s(literal -1/2 binary64) N))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (.f64 (.f64 N N) N) (*.f64 #s(literal -1/2 binary64) N))
(fma.f64 (.f64 N N) #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) N))
(fma.f64 N #s(literal -1/2 binary64) (*.f64 N N))
(fma.f64 N N (*.f64 #s(literal -1/2 binary64) N))
(-.f64 (.f64 N N) (neg.f64 (.f64 #s(literal -1/2 binary64) N)))
(-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N))
(+.f64 (.f64 #s(literal -1/2 binary64) N) (.f64 N N))
(+.f64 (.f64 N N) (.f64 #s(literal -1/2 binary64) N))
(.f64 (.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) N)
(*.f64 N #s(literal 1/2 binary64))

eval168.0ms (5.5%)

Memory: -12.9MiB live, 94.7MiB allocated; 30ms collecting garbage
Compiler: Compiled 4 074 to 1 683 computations (58.7% saved)

prune21.0ms (0.7%)

Memory

2.3MiB live, 47.5MiB allocated; 6ms collecting garbage

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	484	7	491
Fresh	2	2	4
Picked	2	3	5
Done	0	6	6
Total	488	18	506

Accuracy

100.0%

Counts

506 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.3%	(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
	99.6%	(log1p.f64 (/.f64 (+.f64 (/.f64 (fma.f64 N N (/.f64 #s(literal 1 binary64) (.f64 N N))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 N N) (/.f64 #s(literal 1 binary64) (.f64 N N))) #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 (fma.f64 N N (/.f64 #s(literal 1 binary64) (.f64 N N))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 N N) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 2 binary64))) N)))
	99.4%	(log1p.f64 (/.f64 (*.f64 N N) (pow.f64 N #s(literal 3 binary64))))
✓	99.6%	(log1p.f64 (/.f64 (.f64 N N) (.f64 (*.f64 N N) N)))
	99.5%	(log1p.f64 (/.f64 N (*.f64 N N)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	99.4%	(log1p.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N))
	99.3%	(log1p.f64 (.f64 (neg.f64 N) (/.f64 (neg.f64 N) (.f64 (*.f64 N N) N))))
✓	27.7%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	91.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N #s(literal -1/2 binary64) (.f64 N N)) (.f64 (*.f64 N N) N)))
✓	91.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
✓	92.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	91.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) (.f64 (*.f64 N N) N)))
	94.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) N)) N))
✓	83.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
✓	92.0%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
	91.7%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 N #s(literal 1/2 binary64))))
✓	92.0%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))

Compiler

Compiled 458 to 347 computations (24.2% saved)

regimes17.0ms (0.5%)

Memory

-17.3MiB live, 27.6MiB allocated; 3ms collecting garbage

Counts

32 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 N #s(literal 1/2 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) (.f64 (*.f64 N N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (.f64 N (/.f64 #s(literal 1/2 binary64) N))) (.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/.f64 (+.f64 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N)) N))
(log1p.f64 (/.f64 N (*.f64 N N)))
(-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N #s(literal -1/2 binary64) (.f64 N N)) (.f64 (*.f64 N N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) (.f64 (.f64 N N) N)))
(log1p.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (+.f64 #s(literal 1 binary64) (.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)))) N))
(log1p.f64 (/.f64 (.f64 N N) (.f64 (*.f64 N N) N)))
(log1p.f64 (.f64 (neg.f64 N) (/.f64 (neg.f64 N) (.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 N N) N))))) N))
(log1p.f64 (/.f64 (*.f64 N N) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (/.f64 (-.f64 (.f64 N (+.f64 #s(literal 1/3 binary64) (.f64 N (-.f64 N #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.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 1)) (log N)) (/.f64 (/.f64 (-.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (.f64 (.f64 N N) N)) #s(literal 1/4 binary64)) (.f64 (.f64 N N) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) N))
(log1p.f64 (/.f64 (+.f64 (/.f64 (fma.f64 N N (/.f64 #s(literal 1 binary64) (.f64 N N))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 N N) (/.f64 #s(literal 1 binary64) (.f64 N N))) #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 (fma.f64 N N (/.f64 #s(literal 1 binary64) (.f64 N N))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 N N) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 2 binary64))) N)))

Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))

Calls

2 calls:

7.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
7.0ms	N

Results

Accuracy	Segments	Branch
99.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
99.8%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes6.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 N #s(literal 1/2 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))

Outputs
(neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))

Calls

2 calls:

3.0ms	N
2.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
97.9%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
97.9%	2	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.2%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 N #s(literal 1/2 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))) N))

Outputs
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))

Calls

2 calls:

3.0ms	N
2.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
97.9%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
97.9%	2	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

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

Counts

3 → 1

Calls

Call 1

Inputs

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

#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))

#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))

Calls

2 calls:

1.0ms	N
1.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
92.1%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
92.1%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))

Calls

2 calls:

1.0ms	N
1.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
91.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
91.8%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Calls

2 calls:

1.0ms	N
1.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
83.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
83.6%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

bsearch12.0ms (0.4%)

Memory

-31.3MiB live, 15.6MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	141002.20724171423	317228.7015551499

Samples

7.0ms

80×

valid

Compiler

Compiled 100 to 108 computations (-8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-log1p: 2.0ms (41% of total)

adjust: 1.0ms (20.5% of total)

ival-log: 1.0ms (20.5% of total)

ival-sub!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	141002.20724171423	317228.7015551499

Compiler

Compiled 95 to 103 computations (-8.4% saved)

derivations54.0ms (1.8%)

Memory

-19.1MiB live, 35.2MiB allocated; 7ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 42 to 32 computations (23.8% saved)

preprocess93.0ms (3.1%)

Memory: 42.2MiB live, 88.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 82 to 66 computations (19.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (44.2%)

preprocess296.0ms (9.7%)

series44.0ms (1.4%)

rewrite44.0ms (1.4%)

eval4.0ms (0.1%)

prune20.0ms (0.6%)

series17.0ms (0.6%)

rewrite130.0ms (4.3%)

eval137.0ms (4.5%)

prune11.0ms (0.4%)

series21.0ms (0.7%)

rewrite230.0ms (7.6%)

eval120.0ms (3.9%)

prune14.0ms (0.4%)

series17.0ms (0.6%)

rewrite211.0ms (6.9%)

eval168.0ms (5.5%)

prune21.0ms (0.7%)

regimes17.0ms (0.5%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch12.0ms (0.4%)

bsearch1.0ms (0%)

derivations54.0ms (1.8%)

preprocess93.0ms (3.1%)

end0.0ms (0%)

Profiling