Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample2.3s (43.3%)

Memory

-314.4MiB live, 2 626.8MiB allocated; 1.4s collecting garbage

Samples

1.9s	7 305×	1	valid
56.0ms	951×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

adjust: 640.0ms (39.4% of total)

ival-log1p: 359.0ms (22.1% of total)

ival-log: 320.0ms (19.7% of total)

ival->: 148.0ms (9.1% of total)

ival-sub: 107.0ms (6.6% of total)

ival-<: 21.0ms (1.3% of total)

ival-and: 13.0ms (0.8% of total)

exact: 11.0ms (0.7% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain134.0ms (2.5%)

Memory

5.7MiB live, 347.5MiB allocated; 20ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
247	-	-	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
0	-	-	`N`
0	-	-	`(log.f64 N)`
0	-	-	`(+.f64 N #s(literal 1 binary64))`
0	-	-	`(log.f64 (+.f64 N #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`	cancellation	247	1

Confusion

	Predicted +	Predicted -
+	247	0
-	0	9

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	247	0	0
-	0	1	8

Precision?

0.9959677419354839

Recall?

1.0

Freqs

test

number	freq
0	9
1	247

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

73.0ms	458×	1	valid
3.0ms	54×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-log1p: 21.0ms (37.3% of total)

ival-log: 15.0ms (26.6% of total)

adjust: 13.0ms (23.1% of total)

ival-sub: 5.0ms (8.9% of total)

ival-add: 3.0ms (5.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess223.0ms (4.1%)

Memory

30.3MiB live, 212.2MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	11	19
2	14	19
3	25	19
4	61	19
5	267	17
6	2316	17
7	5695	17
0	6	7
0	10	7
1	13	7
2	16	7
3	27	7
4	61	7
5	252	7
6	2195	7
7	5491	7
0	8635	5

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.2%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series76.0ms (1.4%)

Memory

-6.6MiB live, 83.8MiB allocated; 12ms collecting garbage

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

Calls

3 calls:

Time	Variable		Point	Expression
48.0ms	N	@	0	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
21.0ms	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))

simplify256.0ms (4.7%)

Memory

-33.6MiB live, 385.2MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	258
1	254	232
2	702	231
3	2863	227
0	8253	218

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 26

Calls

Call 1

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

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

rewrite60.0ms (1.1%)

Memory

-5.7MiB live, 47.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	17
1	41	17
0	287	14

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

6 → 26

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

eval5.0ms (0.1%)

Memory: 5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 721 to 182 computations (74.8% saved)

prune6.0ms (0.1%)

Memory

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

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	41	8	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	9	50

Accuracy

99.4%

Counts

50 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.2%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))
▶	23.1%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
▶	23.2%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	23.2%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
	25.8%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
▶	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
▶	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
	92.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
▶	84.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 237 to 166 computations (30% saved)

series109.0ms (2%)

Memory

-24.1MiB live, 63.9MiB allocated; 15ms collecting garbage

Counts

32 → 118

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
47.0ms	N	@	-inf	((- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 N 1/3 1/2 -1 (- (log (+ N 1)) (log N)) (/ 1 N) 1 (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) (* N N) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) 2 (+ (log N) (log (+ 1 N))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) (pow (log N) 2))
46.0ms	N	@	0	((- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 N 1/3 1/2 -1 (- (log (+ N 1)) (log N)) (/ 1 N) 1 (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) (* N N) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) 2 (+ (log N) (log (+ 1 N))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) (pow (log N) 2))
13.0ms	N	@	inf	((- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 N 1/3 1/2 -1 (- (log (+ N 1)) (log N)) (/ 1 N) 1 (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) (* N N) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) 2 (+ (log N) (log (+ 1 N))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) (pow (log N) 2))

Time

Variable

Point

Expression

47.0ms

-inf

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

46.0ms

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

13.0ms

inf

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

simplify268.0ms (5%)

Memory

12.2MiB live, 310.7MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	527	4760
1	1764	3805
2	7514	3668
0	8626	3551

Stop Event

1×	iter limit
1×	node limit

Counts

118 → 117

Calls

Call 1

Inputs
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/ -1/4 N)
(/ (- (* 1/3 N) 1/4) N)
N
(/ 1 N)
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ 1/3 N)
(/ (+ 1/3 (* -1/2 N)) N)
(/ (+ 1/3 (* N (- N 1/2))) N)
(pow N 2)
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(log N)
(/ (pow N 2) (log N))
(* (pow N 2) (+ (* -1 (* N (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 11/12 (/ 1 (log N)))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (+ (* 11/12 (/ 1 (log N))) (* N (- (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))) (+ (* 5/6 (/ 1 (log N))) (* 11/12 (/ 1 (pow (log N) 2))))))))))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(+ N (log N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1)))
(pow (log N) 2)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
-1/2
(- (* 1/3 (/ 1 N)) 1/2)
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
1/3
(- 1/3 (* 1/4 (/ 1 N)))
(* N (- 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
(* -1 (log (/ 1 N)))
(+ (* -1 (log (/ 1 N))) (/ 1 N))
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(/ (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)
(/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)
(/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/16 (/ 1 (log (/ 1 N)))) (+ 1/12 (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N)))))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (+ 1/12 (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)
(* -1/2 (log (/ 1 N)))
(+ (* -1/2 (log (/ 1 N))) (* 3/4 (/ 1 N)))
(+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))
(- (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 3/16 (* (pow N 3) (log (/ 1 N)))) (* 1/12 (/ 1 (pow N 3))))))
(pow (log (/ 1 N)) 2)
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))
(* -2 (log (/ 1 N)))
(+ (* -2 (log (/ 1 N))) (/ 1 N))
(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))
(- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))
(- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))
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Outputs
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
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(fma.f64 (/.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64)) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64)) N)) N)) N) #s(literal -1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))
(+ (* -2 (log (/ -1 N))) (* 2 (log -1)))
(*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))))
(+ (* -2 (log (/ -1 N))) (+ (* 2 (log -1)) (/ 1 N)))
(fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) N))
(+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) (* 2 (log -1))))
(fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
(+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) (* 2 (log -1))))
(fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
(+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)) N)) #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))))))
(+ (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal -8 binary64) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) N) (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) N) #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)))) N) #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(fma.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) N) (neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 4 binary64)))) N))) N) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal -8 binary64) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) N) (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) N) #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)))))) N) #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))))))

rewrite79.0ms (1.5%)

Memory

-8.8MiB live, 83.9MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	218
0	59	196
1	255	196
0	1902	196

Stop Event

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

Counts

32 → 258

Calls

Call 1

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

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

eval77.0ms (1.4%)

Memory: 4.0MiB live, 96.7MiB allocated; 23ms collecting garbage
Compiler: Compiled 16 100 to 1 970 computations (87.8% saved)

prune38.0ms (0.7%)

Memory

23.3MiB live, 70.1MiB allocated; 4ms collecting garbage

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	461	14	475
Fresh	0	3	3
Picked	2	3	5
Done	0	1	1
Total	463	21	484

Accuracy

99.5%

Counts

484 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.2%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))
	23.1%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))
	23.3%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log.f64 N) (/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
✓	23.2%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	23.2%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
	25.8%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	94.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (.f64 N N) (pow.f64 N #s(literal 3 binary64))) (.f64 (.f64 N N) (.f64 N N))))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N))
▶	96.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64))) N)))
✓	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
▶	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	92.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
▶	96.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (.f64 N #s(literal -1 binary64))) (*.f64 N N)))
▶	92.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)) (.f64 N N)))
✓	84.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	96.3%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (.f64 N N))))
	94.9%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))))

Compiler

Compiled 876 to 591 computations (32.5% saved)

series31.0ms (0.6%)

Memory

-22.7MiB live, 24.4MiB allocated; 3ms collecting garbage

Counts

41 → 109

Calls

Call 1

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

Outputs
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/ -1/4 N)
(/ (- (* 1/3 N) 1/4) N)
N
(/ -1 N)
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
-1/2
(- N 1/2)
(pow N 2)
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 2))
(* -1 N)
(/ -1/64 (pow N 9))
(/ (- (* 1/16 N) 1/64) (pow N 9))
(/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 9))
(/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 9))
(/ 1/16 (pow N 5))
(/ (+ 1/16 (* -1/6 N)) (pow N 5))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 5))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 5))
(/ 1/16 (pow N 6))
(/ (+ 1/16 (* -1/6 N)) (pow N 6))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 6))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 6))
(/ (- (* N (+ 1/3 (* N (- (* -1 N) 1/2)))) 1/4) (pow N 3))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/3 N))) 1/6))) (pow N 6))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2))
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) (pow N 2))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(- (* 1/3 (/ 1 N)) 1/2)
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
(/ 1/3 N)
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
1/3
(- 1/3 (* 1/4 (/ 1 N)))
(* N (- 1 (* 1/2 (/ 1 N))))
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 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))))
(* N (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))
(- 1 (* 1/8 (/ 1 (pow N 3))))
(- (+ 1 (/ 1/4 (pow N 4))) (* 1/8 (/ 1 (pow N 3))))
(- (+ 1 (/ 1/4 (pow N 4))) (+ (* 1/8 (/ 1 (pow N 3))) (* 17/48 (/ 1 (pow N 5)))))
(/ -1/8 (pow N 3))
(/ (- (* 1/4 (/ 1 N)) 1/8) (pow N 3))
(/ (- (* 1/4 (/ 1 N)) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 3))
(/ (- (+ (* 1/4 (/ 1 N)) (* 31/108 (/ 1 (pow N 3)))) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 3))
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (+ 1 (+ (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) (pow N 2))) (* 1/2 (/ 1 N)))))
(+ 1 (* 1/2 (/ 1 N)))
(- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))
(+ 1 (+ (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) (pow N 2))) (* 1/2 (/ 1 N))))
-1
(* -1 (+ 1 (* 1/2 (/ 1 N))))
(- (/ 1/3 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))
(- (/ 1/3 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))
(/ 1/4 (pow N 2))
(/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2))
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (* 1/3 (/ 1 N))) (pow N 2))
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (+ (* 1/3 (/ 1 N)) (* 1/6 (/ 1 (pow N 3))))) (pow N 2))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (pow N 2))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
(* -1 (* N (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
(+ 1 (* -1 (/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3))))
(+ 1 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 17/48 (/ 1 N))) N))) (pow N 3))))
(* -1 (/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3)))
(* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 17/48 (/ 1 N))) N))) (pow N 3)))
(* -1 (/ (+ 1/8 (* -1 (/ (+ 1/4 (* -1 (/ (- 17/48 (* 31/108 (/ 1 N))) N))) N))) (pow N 3)))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) N))) N)) 1)))
(+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))
(+ 1 (* -1 (/ (- (+ (/ 1/12 (pow N 2)) (* 1/12 (/ 1 N))) 1/2) N)))
(- (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) 1)
(- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) 1)
(/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 2))
(/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 2))

Calls

3 calls:

Time	Variable		Point	Expression
22.0ms	N	@	0	((- (log (+ N 1)) (log N)) (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) (/ (+ 1/3 (/ -1/4 N)) N) (+ 1/3 (/ -1/4 N)) 1/3 (/ -1/4 N) -1/4 N 1/2 (/ -1 N) -1 (- (log (+ N 1)) (log N)) (/ (+ -1/2 N) (* N N)) (+ -1/2 N) -1/2 (* N N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (- (log (+ N 1)) (log N)) (/ (- (* (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (* N -1)) (* N N)) (- (* (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (* N -1)) (* (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (* N -1) (- (log (+ N 1)) (log N)) (/ (- (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 3) -1) (* (+ (* -1 (+ -1 (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N))) (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 2)) N)) (- (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 3) -1) (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 3) 3 (* (+ (* -1 (+ -1 (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N))) (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 2)) N) (+ (* -1 (+ -1 (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N))) (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 2)) (+ -1 (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N)) (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 2) 2)
3.0ms	N	@	-inf	((- (log (+ N 1)) (log N)) (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) (/ (+ 1/3 (/ -1/4 N)) N) (+ 1/3 (/ -1/4 N)) 1/3 (/ -1/4 N) -1/4 N 1/2 (/ -1 N) -1 (- (log (+ N 1)) (log N)) (/ (+ -1/2 N) (* N N)) (+ -1/2 N) -1/2 (* N N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (- (log (+ N 1)) (log N)) (/ (- (* (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (* N -1)) (* N N)) (- (* (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (* N -1)) (* (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (* N -1) (- (log (+ N 1)) (log N)) (/ (- (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 3) -1) (* (+ (* -1 (+ -1 (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N))) (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 2)) N)) (- (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 3) -1) (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 3) 3 (* (+ (* -1 (+ -1 (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N))) (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 2)) N) (+ (* -1 (+ -1 (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N))) (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 2)) (+ -1 (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N)) (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 2) 2)
3.0ms	N	@	inf	((- (log (+ N 1)) (log N)) (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) (/ (+ 1/3 (/ -1/4 N)) N) (+ 1/3 (/ -1/4 N)) 1/3 (/ -1/4 N) -1/4 N 1/2 (/ -1 N) -1 (- (log (+ N 1)) (log N)) (/ (+ -1/2 N) (* N N)) (+ -1/2 N) -1/2 (* N N) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (- (log (+ N 1)) (log N)) (/ (- (* (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (* N -1)) (* N N)) (- (* (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (* N -1)) (* (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (* N -1) (- (log (+ N 1)) (log N)) (/ (- (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 3) -1) (* (+ (* -1 (+ -1 (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N))) (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 2)) N)) (- (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 3) -1) (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 3) 3 (* (+ (* -1 (+ -1 (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N))) (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 2)) N) (+ (* -1 (+ -1 (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N))) (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 2)) (+ -1 (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N)) (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 2) 2)

Time

Variable

Point

Expression

22.0ms

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

3.0ms

-inf

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

3.0ms

inf

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

simplify135.0ms (2.5%)

Memory

16.8MiB live, 162.4MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	294	1149
1	863	1057
2	2822	1043
0	8409	995

Stop Event

1×	iter limit
1×	node limit

Counts

109 → 108

Calls

Call 1

Inputs
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/ -1/4 N)
(/ (- (* 1/3 N) 1/4) N)
N
(/ -1 N)
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
-1/2
(- N 1/2)
(pow N 2)
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 2))
(* -1 N)
(/ -1/64 (pow N 9))
(/ (- (* 1/16 N) 1/64) (pow N 9))
(/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 9))
(/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 9))
(/ 1/16 (pow N 5))
(/ (+ 1/16 (* -1/6 N)) (pow N 5))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 5))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 5))
(/ 1/16 (pow N 6))
(/ (+ 1/16 (* -1/6 N)) (pow N 6))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 6))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 6))
(/ (- (* N (+ 1/3 (* N (- (* -1 N) 1/2)))) 1/4) (pow N 3))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/3 N))) 1/6))) (pow N 6))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2))
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) (pow N 2))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(- (* 1/3 (/ 1 N)) 1/2)
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
(/ 1/3 N)
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
1/3
(- 1/3 (* 1/4 (/ 1 N)))
(* N (- 1 (* 1/2 (/ 1 N))))
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 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))))
(* N (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))
(- 1 (* 1/8 (/ 1 (pow N 3))))
(- (+ 1 (/ 1/4 (pow N 4))) (* 1/8 (/ 1 (pow N 3))))
(- (+ 1 (/ 1/4 (pow N 4))) (+ (* 1/8 (/ 1 (pow N 3))) (* 17/48 (/ 1 (pow N 5)))))
(/ -1/8 (pow N 3))
(/ (- (* 1/4 (/ 1 N)) 1/8) (pow N 3))
(/ (- (* 1/4 (/ 1 N)) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 3))
(/ (- (+ (* 1/4 (/ 1 N)) (* 31/108 (/ 1 (pow N 3)))) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 3))
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (+ 1 (+ (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) (pow N 2))) (* 1/2 (/ 1 N)))))
(+ 1 (* 1/2 (/ 1 N)))
(- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))
(+ 1 (+ (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) (pow N 2))) (* 1/2 (/ 1 N))))
-1
(* -1 (+ 1 (* 1/2 (/ 1 N))))
(- (/ 1/3 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))
(- (/ 1/3 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))
(/ 1/4 (pow N 2))
(/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2))
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (* 1/3 (/ 1 N))) (pow N 2))
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (+ (* 1/3 (/ 1 N)) (* 1/6 (/ 1 (pow N 3))))) (pow N 2))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (pow N 2))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
(* -1 (* N (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
(+ 1 (* -1 (/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3))))
(+ 1 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 17/48 (/ 1 N))) N))) (pow N 3))))
(* -1 (/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3)))
(* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 17/48 (/ 1 N))) N))) (pow N 3)))
(* -1 (/ (+ 1/8 (* -1 (/ (+ 1/4 (* -1 (/ (- 17/48 (* 31/108 (/ 1 N))) N))) N))) (pow N 3)))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) N))) N)) 1)))
(+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))
(+ 1 (* -1 (/ (- (+ (/ 1/12 (pow N 2)) (* 1/12 (/ 1 N))) 1/2) N)))
(- (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) 1)
(- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) 1)
(/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 2))
(/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 2))

Outputs
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N))
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ -1/4 (pow N 2))
(/.f64 (/.f64 #s(literal -1/4 binary64) N) N)
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) N) N)
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N) N)
(/ -1/4 N)
(/.f64 #s(literal -1/4 binary64) N)
(/ (- (* 1/3 N) 1/4) N)
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) N)
N
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(/ -1/2 (pow N 2))
(/.f64 (/.f64 #s(literal -1/2 binary64) N) N)
(/ (- N 1/2) (pow N 2))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)
-1/2
#s(literal -1/2 binary64)
(- N 1/2)
(-.f64 N #s(literal 1/2 binary64))
(pow N 2)
(*.f64 N N)
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 2))
(/.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)) N) N)
(* -1 N)
(neg.f64 N)
(/ -1/64 (pow N 9))
(/.f64 #s(literal -1/64 binary64) (pow.f64 N #s(literal 9 binary64)))
(/ (- (* 1/16 N) 1/64) (pow N 9))
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) N) #s(literal 1/64 binary64)) (pow.f64 N #s(literal 9 binary64)))
(/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 9))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -17/96 binary64) N #s(literal 1/16 binary64)) N) #s(literal 1/64 binary64)) (pow.f64 N #s(literal 9 binary64)))
(/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 9))
(/.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 31/108 binary64) N) #s(literal 17/96 binary64)) N #s(literal 1/16 binary64)) N) #s(literal 1/64 binary64)) (pow.f64 N #s(literal 9 binary64)))
(/ 1/16 (pow N 5))
(/.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal 5 binary64)))
(/ (+ 1/16 (* -1/6 N)) (pow N 5))
(/.f64 (fma.f64 #s(literal -1/6 binary64) N #s(literal 1/16 binary64)) (pow.f64 N #s(literal 5 binary64)))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 5))
(/.f64 (fma.f64 (fma.f64 #s(literal 13/36 binary64) N #s(literal -1/6 binary64)) N #s(literal 1/16 binary64)) (pow.f64 N #s(literal 5 binary64)))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 5))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) N #s(literal 13/36 binary64)) N #s(literal -1/6 binary64)) N #s(literal 1/16 binary64)) (pow.f64 N #s(literal 5 binary64)))
(/ 1/16 (pow N 6))
(/.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal 6 binary64)))
(/ (+ 1/16 (* -1/6 N)) (pow N 6))
(/.f64 (fma.f64 #s(literal -1/6 binary64) N #s(literal 1/16 binary64)) (pow.f64 N #s(literal 6 binary64)))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 6))
(/.f64 (fma.f64 (fma.f64 #s(literal 13/36 binary64) N #s(literal -1/6 binary64)) N #s(literal 1/16 binary64)) (pow.f64 N #s(literal 6 binary64)))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 6))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) N #s(literal 13/36 binary64)) N #s(literal -1/6 binary64)) N #s(literal 1/16 binary64)) (pow.f64 N #s(literal 6 binary64)))
(/ (- (* N (+ 1/3 (* N (- (* -1 N) 1/2)))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/3 N))) 1/6))) (pow N 6))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 13/36 binary64)) N #s(literal -1/6 binary64)) N #s(literal 1/16 binary64)) (pow.f64 N #s(literal 6 binary64)))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) N)) N)
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) (pow N 2))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 N N))
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
(- (* 1/3 (/ 1 N)) 1/2)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
(/ 1/3 N)
(/.f64 #s(literal 1/3 binary64) N)
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
(/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N)
1/3
#s(literal 1/3 binary64)
(- 1/3 (* 1/4 (/ 1 N)))
(-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64))
(* N (- 1 (* 1/2 (/ 1 N))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) N) N N)
1
#s(literal 1 binary64)
(- 1 (* 1/2 (/ 1 N)))
(-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) N))
(* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N N)
(* N (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N N)
(- 1 (* 1/8 (/ 1 (pow N 3))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal 3 binary64))))
(- (+ 1 (/ 1/4 (pow N 4))) (* 1/8 (/ 1 (pow N 3))))
(-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal 3 binary64))))
(- (+ 1 (/ 1/4 (pow N 4))) (+ (* 1/8 (/ 1 (pow N 3))) (* 17/48 (/ 1 (pow N 5)))))
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal 3 binary64)))) (/.f64 #s(literal 17/48 binary64) (pow.f64 N #s(literal 5 binary64))))
(/ -1/8 (pow N 3))
(/.f64 #s(literal -1/8 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/4 (/ 1 N)) 1/8) (pow N 3))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/8 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/4 (/ 1 N)) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 3))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 17/48 binary64) N)) N) #s(literal 1/8 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (+ (* 1/4 (/ 1 N)) (* 31/108 (/ 1 (pow N 3)))) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 3))
(/.f64 (+.f64 (/.f64 #s(literal 31/108 binary64) (pow.f64 N #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 17/48 binary64) N)) N) #s(literal 1/8 binary64))) (pow.f64 N #s(literal 3 binary64)))
(* N (+ 1 (* 1/2 (/ 1 N))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) N) #s(literal -1/2 binary64)) N) N N)
(* N (+ 1 (+ (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) (pow N 2))) (* 1/2 (/ 1 N)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/12 binary64)) N)) N) N N)
(+ 1 (* 1/2 (/ 1 N)))
(-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))
(- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/2 binary64)) N))
(+ 1 (+ (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) (pow N 2))) (* 1/2 (/ 1 N))))
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/12 binary64)) N)) N) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 1/2 (/ 1 N))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(- (/ 1/3 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(- (/ 1/3 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 1 binary64))
(/ 1/4 (pow N 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 N N))
(/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2))
(/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) N)
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (* 1/3 (/ 1 N))) (pow N 2))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 13/36 binary64) N)) N)) (*.f64 N N))
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (+ (* 1/3 (/ 1 N)) (* 1/6 (/ 1 (pow N 3))))) (pow N 2))
(/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 13/36 binary64) (/.f64 #s(literal 1/6 binary64) N)) N)) N)) N) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) N)) N)
(/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (pow N 2))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 N N))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
(- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N)
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) N) N N)
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) N))
(* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N N)
(* -1 (* N (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N N)
(+ 1 (* -1 (/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/8 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1 binary64))
(+ 1 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 17/48 (/ 1 N))) N))) (pow N 3))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 17/48 binary64) N)) N) #s(literal 1/8 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1 binary64))
(* -1 (/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3)))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/8 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 17/48 (/ 1 N))) N))) (pow N 3)))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 17/48 binary64) N)) N) #s(literal 1/8 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (/ (+ 1/8 (* -1 (/ (+ 1/4 (* -1 (/ (- 17/48 (* 31/108 (/ 1 N))) N))) N))) (pow N 3)))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 17/48 binary64) (/.f64 #s(literal 31/108 binary64) N)) N)) N) #s(literal 1/8 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) N) #s(literal -1/2 binary64)) N) N N)
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) N))) N)) 1)))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/12 binary64)) N)) N) N N)
(+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/2 binary64)) N))
(+ 1 (* -1 (/ (- (+ (/ 1/12 (pow N 2)) (* 1/12 (/ 1 N))) 1/2) N)))
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/12 binary64)) N)) N) #s(literal -1 binary64))
(- (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 1 binary64))
(/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 2))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 13/36 binary64) N)) N)) (*.f64 N N))
(/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 2))
(/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 13/36 binary64) (/.f64 #s(literal 1/6 binary64) N)) N)) N)) N) N)

rewrite149.0ms (2.8%)

Memory

-26.6MiB live, 116.3MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	521
0	76	438
1	319	435
0	2660	429

Stop Event

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

Counts

41 → 446

Calls

Call 1

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

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

eval113.0ms (2.1%)

Memory: 10.3MiB live, 200.9MiB allocated; 27ms collecting garbage
Compiler: Compiled 39 396 to 3 425 computations (91.3% saved)

prune34.0ms (0.6%)

Memory

-13.8MiB live, 80.0MiB allocated; 5ms collecting garbage

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	784	11	795
Fresh	3	9	12
Picked	2	3	5
Done	0	4	4
Total	789	27	816

Accuracy

99.5%

Counts

816 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.2%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))
	23.1%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))
	23.3%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log.f64 N) (/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
✓	23.2%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	23.2%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
	25.8%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
▶	96.0%	#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (/.f64 N (.f64 N N)) (/.f64 N (.f64 N N))))
	96.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N N) N) N))
▶	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N))
▶	92.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) N) N) N))
▶	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ 1/3 (/ -1/4 N)) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64))) N)))
	96.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(approx (* (+ (* -1 (+ -1 (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N))) (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 2)) N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/12 binary64)) N)) N) N N))))
▶	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
✓	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
✓	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (.f64 N N)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (.f64 (.f64 N N) (.f64 N N))))
	92.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 N N)) (.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
✓	92.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (* N -1)) (/.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)) N) N)) (*.f64 N N)))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)) (.f64 N N)))
✓	84.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
✓	96.3%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (.f64 N N))))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))

Compiler

Compiled 1 235 to 837 computations (32.2% saved)

series11.0ms (0.2%)

Memory

23.7MiB live, 23.7MiB allocated; 0ms collecting garbage

Counts

51 → 114

Calls

Call 1

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

Outputs
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/64 (pow N 9))
(/ (- (* 1/16 N) 1/64) (pow N 9))
(/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 9))
(/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 9))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/ -1/4 N)
(/ (- (* 1/3 N) 1/4) N)
N
(/ 1/16 (pow N 5))
(/ (+ 1/16 (* -1/6 N)) (pow N 5))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 5))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 5))
(/ 1/16 (pow N 6))
(/ (+ 1/16 (* -1/6 N)) (pow N 6))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 6))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 6))
(/ (- (* N (+ 1/3 (* N (- (* -1 N) 1/2)))) 1/4) (pow N 3))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/3 N))) 1/6))) (pow N 6))
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ -1/2 N)
(/ (- N 1/2) N)
-1/2
(- N 1/2)
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ 1/3 (pow N 2))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 2))
(/ 1/3 N)
(/ (+ 1/3 (* -1/2 N)) N)
(/ (+ 1/3 (* N (- N 1/2))) N)
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ 1/2 N)
(/ (+ 1/2 (* -1 N)) N)
(/ 1 N)
(pow N 2)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
1
(- 1 (* 1/8 (/ 1 (pow N 3))))
(- (+ 1 (/ 1/4 (pow N 4))) (* 1/8 (/ 1 (pow N 3))))
(- (+ 1 (/ 1/4 (pow N 4))) (+ (* 1/8 (/ 1 (pow N 3))) (* 17/48 (/ 1 (pow N 5)))))
(/ -1/8 (pow N 3))
(/ (- (* 1/4 (/ 1 N)) 1/8) (pow N 3))
(/ (- (* 1/4 (/ 1 N)) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 3))
(/ (- (+ (* 1/4 (/ 1 N)) (* 31/108 (/ 1 (pow N 3)))) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 3))
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(- (* 1/3 (/ 1 N)) 1/2)
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
1/3
(- 1/3 (* 1/4 (/ 1 N)))
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (+ 1 (+ (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) (pow N 2))) (* 1/2 (/ 1 N)))))
(+ 1 (* 1/2 (/ 1 N)))
(- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))
(+ 1 (+ (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) (pow N 2))) (* 1/2 (/ 1 N))))
-1
(* -1 (+ 1 (* 1/2 (/ 1 N))))
(- (/ 1/3 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))
(- (/ 1/3 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))
(/ 1/4 (pow N 2))
(/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2))
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (* 1/3 (/ 1 N))) (pow N 2))
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (+ (* 1/3 (/ 1 N)) (* 1/6 (/ 1 (pow N 3))))) (pow N 2))
(- 1 (* 1/2 (/ 1 N)))
(* N (- 1 (* 1/2 (/ 1 N))))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(- (* 1/2 (/ 1 N)) 1)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(+ 1 (* -1 (/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3))))
(+ 1 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 17/48 (/ 1 N))) N))) (pow N 3))))
(* -1 (/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3)))
(* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 17/48 (/ 1 N))) N))) (pow N 3)))
(* -1 (/ (+ 1/8 (* -1 (/ (+ 1/4 (* -1 (/ (- 17/48 (* 31/108 (/ 1 N))) N))) N))) (pow N 3)))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) N))) N)) 1)))
(+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))
(+ 1 (* -1 (/ (- (+ (/ 1/12 (pow N 2)) (* 1/12 (/ 1 N))) 1/2) N)))
(- (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) 1)
(- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) 1)
(/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 2))
(/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 2))
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

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

3.0ms

inf

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

simplify127.0ms (2.4%)

Memory

-21.5MiB live, 168.1MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	298	1139
1	880	1053
2	2918	1011
0	8674	975

Stop Event

1×	iter limit
1×	node limit

Counts

114 → 113

Calls

Call 1

Inputs
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/64 (pow N 9))
(/ (- (* 1/16 N) 1/64) (pow N 9))
(/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 9))
(/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 9))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/ -1/4 N)
(/ (- (* 1/3 N) 1/4) N)
N
(/ 1/16 (pow N 5))
(/ (+ 1/16 (* -1/6 N)) (pow N 5))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 5))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 5))
(/ 1/16 (pow N 6))
(/ (+ 1/16 (* -1/6 N)) (pow N 6))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 6))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 6))
(/ (- (* N (+ 1/3 (* N (- (* -1 N) 1/2)))) 1/4) (pow N 3))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/3 N))) 1/6))) (pow N 6))
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ -1/2 N)
(/ (- N 1/2) N)
-1/2
(- N 1/2)
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ 1/3 (pow N 2))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 2))
(/ 1/3 N)
(/ (+ 1/3 (* -1/2 N)) N)
(/ (+ 1/3 (* N (- N 1/2))) N)
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ 1/2 N)
(/ (+ 1/2 (* -1 N)) N)
(/ 1 N)
(pow N 2)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
1
(- 1 (* 1/8 (/ 1 (pow N 3))))
(- (+ 1 (/ 1/4 (pow N 4))) (* 1/8 (/ 1 (pow N 3))))
(- (+ 1 (/ 1/4 (pow N 4))) (+ (* 1/8 (/ 1 (pow N 3))) (* 17/48 (/ 1 (pow N 5)))))
(/ -1/8 (pow N 3))
(/ (- (* 1/4 (/ 1 N)) 1/8) (pow N 3))
(/ (- (* 1/4 (/ 1 N)) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 3))
(/ (- (+ (* 1/4 (/ 1 N)) (* 31/108 (/ 1 (pow N 3)))) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 3))
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(- (* 1/3 (/ 1 N)) 1/2)
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
1/3
(- 1/3 (* 1/4 (/ 1 N)))
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (+ 1 (+ (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) (pow N 2))) (* 1/2 (/ 1 N)))))
(+ 1 (* 1/2 (/ 1 N)))
(- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))
(+ 1 (+ (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) (pow N 2))) (* 1/2 (/ 1 N))))
-1
(* -1 (+ 1 (* 1/2 (/ 1 N))))
(- (/ 1/3 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))
(- (/ 1/3 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))
(/ 1/4 (pow N 2))
(/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2))
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (* 1/3 (/ 1 N))) (pow N 2))
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (+ (* 1/3 (/ 1 N)) (* 1/6 (/ 1 (pow N 3))))) (pow N 2))
(- 1 (* 1/2 (/ 1 N)))
(* N (- 1 (* 1/2 (/ 1 N))))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(- (* 1/2 (/ 1 N)) 1)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(+ 1 (* -1 (/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3))))
(+ 1 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 17/48 (/ 1 N))) N))) (pow N 3))))
(* -1 (/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3)))
(* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 17/48 (/ 1 N))) N))) (pow N 3)))
(* -1 (/ (+ 1/8 (* -1 (/ (+ 1/4 (* -1 (/ (- 17/48 (* 31/108 (/ 1 N))) N))) N))) (pow N 3)))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) N))) N)) 1)))
(+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))
(+ 1 (* -1 (/ (- (+ (/ 1/12 (pow N 2)) (* 1/12 (/ 1 N))) 1/2) N)))
(- (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) 1)
(- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) 1)
(/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 2))
(/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 2))
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))

Outputs
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N))
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ -1/64 (pow N 9))
(/.f64 #s(literal -1/64 binary64) (pow.f64 N #s(literal 9 binary64)))
(/ (- (* 1/16 N) 1/64) (pow N 9))
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) N) #s(literal 1/64 binary64)) (pow.f64 N #s(literal 9 binary64)))
(/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 9))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -17/96 binary64) N #s(literal 1/16 binary64)) N) #s(literal 1/64 binary64)) (pow.f64 N #s(literal 9 binary64)))
(/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 9))
(/.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 31/108 binary64) N) #s(literal 17/96 binary64)) N #s(literal 1/16 binary64)) N) #s(literal 1/64 binary64)) (pow.f64 N #s(literal 9 binary64)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)
(/ -1/4 (pow N 2))
(/.f64 (/.f64 #s(literal -1/4 binary64) N) N)
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64))
(/ -1/4 N)
(/.f64 #s(literal -1/4 binary64) N)
(/ (- (* 1/3 N) 1/4) N)
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
N
(/ 1/16 (pow N 5))
(/.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal 5 binary64)))
(/ (+ 1/16 (* -1/6 N)) (pow N 5))
(/.f64 (fma.f64 #s(literal -1/6 binary64) N #s(literal 1/16 binary64)) (pow.f64 N #s(literal 5 binary64)))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 5))
(/.f64 (fma.f64 (fma.f64 #s(literal 13/36 binary64) N #s(literal -1/6 binary64)) N #s(literal 1/16 binary64)) (pow.f64 N #s(literal 5 binary64)))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 5))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) N #s(literal 13/36 binary64)) N #s(literal -1/6 binary64)) N #s(literal 1/16 binary64)) (pow.f64 N #s(literal 5 binary64)))
(/ 1/16 (pow N 6))
(/.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal 6 binary64)))
(/ (+ 1/16 (* -1/6 N)) (pow N 6))
(/.f64 (fma.f64 #s(literal -1/6 binary64) N #s(literal 1/16 binary64)) (pow.f64 N #s(literal 6 binary64)))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 6))
(/.f64 (fma.f64 (fma.f64 #s(literal 13/36 binary64) N #s(literal -1/6 binary64)) N #s(literal 1/16 binary64)) (pow.f64 N #s(literal 6 binary64)))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 6))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) N #s(literal 13/36 binary64)) N #s(literal -1/6 binary64)) N #s(literal 1/16 binary64)) (pow.f64 N #s(literal 6 binary64)))
(/ (- (* N (+ 1/3 (* N (- (* -1 N) 1/2)))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/3 N))) 1/6))) (pow N 6))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 13/36 binary64)) N #s(literal -1/6 binary64)) N #s(literal 1/16 binary64)) (pow.f64 N #s(literal 6 binary64)))
(/ -1/2 (pow N 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 N N))
(/ (- N 1/2) (pow N 2))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ (- N 1/2) N)
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N)
-1/2
#s(literal -1/2 binary64)
(- N 1/2)
(-.f64 N #s(literal 1/2 binary64))
(/ 1/3 (pow N 3))
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ 1/3 (pow N 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(/ (+ 1/3 (* N (- N 1/2))) (pow N 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1/2 binary64)) N)
(/ 1/3 N)
(/.f64 #s(literal 1/3 binary64) N)
(/ (+ 1/3 (* -1/2 N)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/ (+ 1/3 (* N (- N 1/2))) N)
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1/2 binary64))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ (+ 1/2 (* -1 N)) N)
(/.f64 (-.f64 #s(literal 1/2 binary64) N) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(pow N 2)
(*.f64 N N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (/.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) N)
1
#s(literal 1 binary64)
(- 1 (* 1/8 (/ 1 (pow N 3))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal 3 binary64))))
(- (+ 1 (/ 1/4 (pow N 4))) (* 1/8 (/ 1 (pow N 3))))
(-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal 3 binary64))))
(- (+ 1 (/ 1/4 (pow N 4))) (+ (* 1/8 (/ 1 (pow N 3))) (* 17/48 (/ 1 (pow N 5)))))
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal 3 binary64)))) (/.f64 #s(literal 17/48 binary64) (pow.f64 N #s(literal 5 binary64))))
(/ -1/8 (pow N 3))
(/.f64 #s(literal -1/8 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/4 (/ 1 N)) 1/8) (pow N 3))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/8 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/4 (/ 1 N)) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 3))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 17/48 binary64) N)) N) #s(literal 1/8 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (+ (* 1/4 (/ 1 N)) (* 31/108 (/ 1 (pow N 3)))) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 3))
(/.f64 (+.f64 (/.f64 #s(literal 31/108 binary64) (pow.f64 N #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 17/48 binary64) N)) N) #s(literal 1/8 binary64))) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)
(- (* 1/3 (/ 1 N)) 1/2)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
(-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64))
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
1/3
#s(literal 1/3 binary64)
(- 1/3 (* 1/4 (/ 1 N)))
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
(* N (+ 1 (* 1/2 (/ 1 N))))
(-.f64 N #s(literal -1/2 binary64))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) N) #s(literal -1/2 binary64)) N) N N)
(* N (+ 1 (+ (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) (pow N 2))) (* 1/2 (/ 1 N)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/12 binary64)) N)) N) N N)
(+ 1 (* 1/2 (/ 1 N)))
(-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))
(- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) N) #s(literal -1/2 binary64)) N) N)
(+ 1 (+ (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) (pow N 2))) (* 1/2 (/ 1 N))))
(/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/12 binary64)) N)) N) N)
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 1/2 (/ 1 N))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(- (/ 1/3 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(- (/ 1/3 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(/ 1/4 (pow N 2))
(/.f64 (/.f64 #s(literal 1/4 binary64) N) N)
(/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2))
(/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) N)
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (* 1/3 (/ 1 N))) (pow N 2))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 13/36 binary64) N)) N)) (*.f64 N N))
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (+ (* 1/3 (/ 1 N)) (* 1/6 (/ 1 (pow N 3))))) (pow N 2))
(/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 13/36 binary64) (/.f64 #s(literal 1/6 binary64) N)) N)) N)) N) N)
(- 1 (* 1/2 (/ 1 N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N)
(* N (- 1 (* 1/2 (/ 1 N))))
(-.f64 N #s(literal 1/2 binary64))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1/2 binary64)) N)
(* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1/2 binary64))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N)
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(- (* 1/2 (/ 1 N)) 1)
(/.f64 (-.f64 #s(literal 1/2 binary64) N) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 (/.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) N)
(+ 1 (* -1 (/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/8 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1 binary64))
(+ 1 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 17/48 (/ 1 N))) N))) (pow N 3))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 17/48 binary64) N)) N) #s(literal 1/8 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1 binary64))
(* -1 (/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3)))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/8 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 17/48 (/ 1 N))) N))) (pow N 3)))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 17/48 binary64) N)) N) #s(literal 1/8 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (/ (+ 1/8 (* -1 (/ (+ 1/4 (* -1 (/ (- 17/48 (* 31/108 (/ 1 N))) N))) N))) (pow N 3)))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 17/48 binary64) (/.f64 #s(literal 31/108 binary64) N)) N)) N) #s(literal 1/8 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)
(- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)
(-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64))
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) N) #s(literal -1/2 binary64)) N) N N)
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) N))) N)) 1)))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/12 binary64)) N)) N) N N)
(+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) N) #s(literal -1/2 binary64)) N) N)
(+ 1 (* -1 (/ (- (+ (/ 1/12 (pow N 2)) (* 1/12 (/ 1 N))) 1/2) N)))
(/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/12 binary64)) N)) N) N)
(- (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 2))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 13/36 binary64) N)) N)) (*.f64 N N))
(/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 2))
(/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 13/36 binary64) (/.f64 #s(literal 1/6 binary64) N)) N)) N)) N) N)
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(-.f64 N #s(literal 1/2 binary64))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1/2 binary64)) N)
(* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) N) #s(literal 1/2 binary64))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(/.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N)

rewrite121.0ms (2.2%)

Memory

18.5MiB live, 164.6MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	579
0	98	562
1	407	556
0	3387	544

Stop Event

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

Counts

51 → 486

Calls

Call 1

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

Outputs
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(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (/.f64 #s(literal 1/2 binary64) N)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 N)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) (neg.f64 N)) (.f64 #s(literal -1/2 binary64) N)) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (.f64 N #s(literal 1/2 binary64))) (*.f64 N N))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) N))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 2 binary64))) N))
(/.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) (neg.f64 N))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N)
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N))
(neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) (neg.f64 N)))
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N))))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 2 binary64)))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))
(+.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 (/.f64 #s(literal -1/4 binary64) N) N)) (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 2 binary64))) (-.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 #s(literal 1/3 binary64) N)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 (/.f64 #s(literal -1/4 binary64) N) N))) (-.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 (/.f64 #s(literal -1/4 binary64) N) N)))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 #s(literal 1/3 binary64) N)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 (/.f64 #s(literal -1/4 binary64) N) N)) (.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 (/.f64 #s(literal -1/4 binary64) N) N)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 N)))
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) N) (neg.f64 N) (.f64 N #s(literal -1/3 binary64))) (.f64 (neg.f64 N) N))
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) N) N (.f64 N #s(literal 1/3 binary64))) (.f64 N N))
(/.f64 (fma.f64 #s(literal -1/3 binary64) N (.f64 (neg.f64 N) (/.f64 #s(literal -1/4 binary64) N))) (.f64 (neg.f64 N) N))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N (.f64 N (/.f64 #s(literal -1/4 binary64) N))) (.f64 N N))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N))
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) N))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) N) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) N))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (neg.f64 N))
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
(neg.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) N))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)))
(+.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 #s(literal 1/3 binary64) N))
(+.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 (/.f64 #s(literal -1/4 binary64) N) N))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) N) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64))) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (/.f64 #s(literal -1/4 binary64) N) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) N) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) N) #s(literal 1/3 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (/.f64 #s(literal -1/4 binary64) N) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/4 binary64) N) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
(/.f64 (/.f64 N (neg.f64 N)) (neg.f64 N))
(/.f64 (/.f64 N (fabs.f64 N)) (fabs.f64 N))
(/.f64 (neg.f64 (neg.f64 N)) (*.f64 N N))
(/.f64 (neg.f64 N) (*.f64 (neg.f64 N) N))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(neg.f64 (/.f64 (neg.f64 N) (*.f64 N N)))
(neg.f64 (/.f64 N (*.f64 (neg.f64 N) N)))
(*.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)))
(*.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)))
(*.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)))
(*.f64 (pow.f64 N #s(literal 1 binary64)) (pow.f64 N #s(literal 1 binary64)))
(*.f64 (pow.f64 N #s(literal 1 binary64)) N)
(*.f64 (neg.f64 N) (neg.f64 N))
(*.f64 (fabs.f64 N) (fabs.f64 N))
(*.f64 N N)
(pow.f64 (neg.f64 N) #s(literal 2 binary64))
(pow.f64 (fabs.f64 N) #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 N) N))
(fabs.f64 (*.f64 N N))
(exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)))

eval112.0ms (2.1%)

Memory: -12.9MiB live, 176.5MiB allocated; 14ms collecting garbage
Compiler: Compiled 33 549 to 3 105 computations (90.7% saved)

prune51.0ms (1%)

Memory

15.9MiB live, 63.6MiB allocated; 2ms collecting garbage

Pruning

31 alts after pruning (22 fresh and 9 done)

	Pruned	Kept	Total
New	647	10	657
Fresh	3	12	15
Picked	3	2	5
Done	0	7	7
Total	653	31	684

Accuracy

99.5%

Counts

684 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.2%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))
	23.1%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))
	23.3%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log.f64 N) (/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
✓	23.2%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	23.2%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
	25.8%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	96.0%	#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (/.f64 #s(literal 1 binary64) N) (/.f64 N (*.f64 N N))))
	95.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (.f64 (neg.f64 N) N) (.f64 (.f64 N N) (neg.f64 N))) (.f64 (.f64 N N) (*.f64 (neg.f64 N) N))))
	96.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) (.f64 (neg.f64 N) N) (.f64 (neg.f64 N) N)) (.f64 N (*.f64 (neg.f64 N) N))))
	96.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) N))
✓	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N))
✓	92.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) N) N) N))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)) (/.f64 (.f64 (-.f64 (/.f64 #s(approx (+ 1/3 (/ -1/4 N)) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(approx (+ 1/3 (/ -1/4 N)) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) (*.f64 N N))) N)))
	96.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(approx (* (+ (* -1 (+ -1 (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N))) (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 2)) N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/12 binary64)) N)) N) N N))))
✓	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
✓	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (+ 1/3 (/ -1/4 N)) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(approx (+ 1/3 (/ -1/4 N)) #s(literal 1/3 binary64)) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
	92.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 N N)) (.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
✓	92.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
	96.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 3) -1) (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal 3 binary64))))) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ 1/3 (/ -1/4 N)) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64))) N)))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (* N -1)) (/.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)) N) N)) (*.f64 N N)))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)) (.f64 N N)))
✓	84.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
✓	96.3%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (.f64 N N))))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))
	92.8%	#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))))

Compiler

Compiled 2 066 to 826 computations (60% saved)

regimes50.0ms (0.9%)

Memory

-19.3MiB live, 27.6MiB allocated; 2ms collecting garbage

Counts

44 → 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 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) N) N) 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 1/4 binary64) (.f64 N N)) (.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #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 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N))
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(approx (+ 1/3 (/ -1/4 N)) #s(literal 1/3 binary64)) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (+ 1/3 (/ -1/4 N)) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)) (.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (* N -1)) (/.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)) N) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 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 (/.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N N) N) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (.f64 N #s(literal -1 binary64))) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (/.f64 #s(literal 1 binary64) N) (/.f64 N (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (/.f64 N (.f64 N N)) (/.f64 N (.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) (.f64 (neg.f64 N) N) (.f64 (neg.f64 N) N)) (.f64 N (*.f64 (neg.f64 N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (.f64 (neg.f64 N) N) (.f64 (.f64 N N) (neg.f64 N))) (.f64 (.f64 N N) (*.f64 (neg.f64 N) N))))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (.f64 N N) (pow.f64 N #s(literal 3 binary64))) (.f64 (.f64 N N) (.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (.f64 N N)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (.f64 (.f64 N N) (.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(approx (* (+ (* -1 (+ -1 (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N))) (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 2)) N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/12 binary64)) N)) N) N N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)) (/.f64 (.f64 (-.f64 (/.f64 #s(approx (+ 1/3 (/ -1/4 N)) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(approx (+ 1/3 (/ -1/4 N)) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) (*.f64 N N))) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ 1/3 (/ -1/4 N)) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64))) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64))) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 3) -1) (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal 3 binary64))))) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ 1/3 (/ -1/4 N)) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64))) N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log.f64 N) (/.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))

Outputs

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

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

Calls

2 calls:

37.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
11.0ms	N

Results

Accuracy	Segments	Branch
99.3%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
99.3%	2	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes16.0ms (0.3%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

Calls

2 calls:

8.0ms	N
6.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.3%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
99.3%	2	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes14.0ms (0.3%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

2 calls:

7.0ms	N
5.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
96.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
96.3%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes19.0ms (0.3%)

Memory

-39.4MiB live, 15.2MiB allocated; 7ms collecting garbage

Counts

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

Outputs

#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (* N -1)) (/.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)) N) N)) (*.f64 N N)))

Calls

2 calls:

14.0ms	N
4.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
95.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
95.9%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes9.0ms (0.2%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

2 calls:

5.0ms	N
4.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
95.2%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
95.2%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Counts

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

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 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
95.1%	1	`N`
95.1%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

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

Counts

7 → 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 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) N) N) 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 1/4 binary64) (.f64 N N)) (.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.1%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
95.1%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.2%)

Memory

-40.3MiB live, 7.4MiB allocated; 1ms collecting garbage

Counts

6 → 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 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) N) N) 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 1/4 binary64) (.f64 N N)) (.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))

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

Calls

2 calls:

6.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
2.0ms	N

Results

Accuracy	Segments	Branch
92.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
92.8%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

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

Counts

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

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

Calls

2 calls:

2.0ms	N
1.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
92.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
92.8%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB 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 #s(literal -1/2 binary64) N) (*.f64 N N)))

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

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(literal -1/2 binary64)) N) #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
92.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
92.8%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB 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 #s(literal -1/2 binary64) N) (*.f64 N N)))

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.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
92.7%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
92.7%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

4.3MiB live, 4.3MiB 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
84.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
84.9%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch8.0ms (0.1%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	648.1960675992887	2257.3911334704994

Samples

4.0ms

80×

valid

Compiler

Compiled 390 to 263 computations (32.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-log: 1.0ms (49.5% of total)

ival-log1p: 1.0ms (49.5% of total)

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

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	648.1960675992887	2257.3911334704994

Compiler

Compiled 155 to 133 computations (14.2% saved)

simplify47.0ms (0.9%)

Memory

-13.6MiB live, 33.7MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	324
1	152	322
2	263	319
3	603	313
4	3893	313

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 N #s(literal 1250 binary64)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(approx (* (+ (* -1 (+ -1 (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N))) (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 2)) N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/12 binary64)) N)) N) N N)))))
(if (<=.f64 N #s(literal 1250 binary64)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 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 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 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(approx (- (* (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (* N -1)) (/.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)) N) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #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 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N 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 (+.f64 #s(literal -1/2 binary64) N) N) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Outputs
(if (<=.f64 N #s(literal 1250 binary64)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(approx (* (+ (* -1 (+ -1 (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N))) (pow (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) 2)) N) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/12 binary64)) N)) N) N N)))))
(if (<=.f64 N #s(literal 1250 binary64)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 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 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 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(approx (- (* (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (* N -1)) (/.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)) N) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #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 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N 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 (+.f64 #s(literal -1/2 binary64) N) N) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

derivations600.0ms (11.1%)

Memory

13.7MiB live, 378.0MiB allocated; 95ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 325 to 107 computations (67.1% saved)

preprocess64.0ms (1.2%)

Memory: 0.5MiB live, 139.8MiB allocated; 19ms collecting garbage
Compiler: Compiled 718 to 264 computations (63.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.3s (43.3%)

explain134.0ms (2.5%)

preprocess223.0ms (4.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series76.0ms (1.4%)

simplify256.0ms (4.7%)

rewrite60.0ms (1.1%)

eval5.0ms (0.1%)

prune6.0ms (0.1%)

series109.0ms (2%)

simplify268.0ms (5%)

rewrite79.0ms (1.5%)

eval77.0ms (1.4%)

prune38.0ms (0.7%)

series31.0ms (0.6%)

simplify135.0ms (2.5%)

rewrite149.0ms (2.8%)

eval113.0ms (2.1%)

prune34.0ms (0.6%)

series11.0ms (0.2%)

simplify127.0ms (2.4%)

rewrite121.0ms (2.2%)

eval112.0ms (2.1%)

prune51.0ms (1%)

regimes50.0ms (0.9%)

regimes16.0ms (0.3%)

regimes14.0ms (0.3%)

regimes19.0ms (0.3%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes8.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch8.0ms (0.1%)

bsearch1.0ms (0%)

simplify47.0ms (0.9%)

derivations600.0ms (11.1%)

preprocess64.0ms (1.2%)

end0.0ms (0%)

Profiling