Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.9s (26.9%)

Memory

-27.6MiB live, 1 258.3MiB allocated; 1.2s collecting garbage

Samples

1.1s	7 317×	1	valid
52.0ms	939×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 873.0ms

ival-log1p: 281.0ms (32.2% of total)

ival-log: 265.0ms (30.4% of total)

adjust: 157.0ms (18% of total)

ival-sub: 101.0ms (11.6% of total)

ival->: 29.0ms (3.3% of total)

ival-<: 16.0ms (1.8% of total)

ival-and: 11.0ms (1.3% of total)

exact: 10.0ms (1.1% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain184.0ms (2.7%)

Memory

21.3MiB live, 111.6MiB allocated; 32ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
246	-	1	(27.96664830846103)	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
0	-	0	-	`N`
0	-	0	-	`(log.f64 N)`
0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	-	0	-	`(log.f64 (+.f64 N #s(literal 1 binary64)))`
0	-	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	245	3

Confusion

	Predicted +	Predicted -
+	245	1
-	0	10

Precision

1.0

Recall

0.9959349593495935

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	245	1	0
-	0	2	8

Precision?

0.9919354838709677

Recall?

1.0

Freqs

test

number	freq
0	11
1	245

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

59.0ms	444×	1	valid
4.0ms	68×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-log1p: 14.0ms (30.1% of total)

ival-log: 13.0ms (28% of total)

adjust: 11.0ms (23.7% of total)

ival-sub: 4.0ms (8.6% of total)

ival-add: 2.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess260.0ms (3.8%)

Memory

-6.9MiB live, 139.4MiB allocated; 35ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.2%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify158.0ms (2.3%)

Memory

-14.5MiB live, 128.6MiB allocated; 31ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 N)
cost-diff	0	(+.f64 N #s(literal 1 binary64))
cost-diff	0	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
cost-diff	2	(log.f64 (+.f64 N #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	16	18
3	27	18
4	61	18
5	252	18
6	2195	18
7	5491	18
0	8635	14

Stop Event

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

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

localize42.0ms (0.6%)

Memory

12.2MiB live, 58.5MiB allocated; 7ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 N #s(literal 1 binary64))
accuracy	0.0	(log.f64 N)
accuracy	0.00390625	(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	47.839189212061086	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

34.0ms	222×	1	valid
2.0ms	34×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-log1p: 7.0ms (31% of total)

adjust: 6.0ms (26.5% of total)

ival-log: 6.0ms (26.5% of total)

ival-sub: 2.0ms (8.8% of total)

ival-add: 1.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

series64.0ms (0.9%)

Memory

-13.2MiB live, 88.1MiB allocated; 18ms collecting garbage

Counts

4 → 27

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
29.0ms	N	@	-inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
28.0ms	N	@	0	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
6.0ms	N	@	inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))

simplify213.0ms (3.1%)

Memory

8.1MiB live, 247.5MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	258
1	254	232
2	702	231
3	2862	227
0	8229	218

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 26

Calls

Call 1

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

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

rewrite83.0ms (1.2%)

Memory

-15.8MiB live, 128.6MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	15
1	41	15
0	287	12

Stop Event

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

Counts

4 → 24

Calls

Call 1

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

Outputs
(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 (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))
(/.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))
(log.f64 N)

eval5.0ms (0.1%)

Memory: 21.4MiB live, 21.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 700 to 182 computations (74% saved)

prune10.0ms (0.1%)

Memory

-30.5MiB live, 18.5MiB allocated; 5ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	38	8	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	8	47

Accuracy

99.4%

Counts

47 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.2%	(/.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))))
	25.2%	(/.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)))
▶	25.3%	(-.f64 (log1p.f64 N) (log.f64 N))
	28.2%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
▶	95.5%	#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))
▶	93.9%	#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)))
	91.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
▶	83.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 232 to 164 computations (29.3% saved)

simplify132.0ms (1.9%)

Memory

32.1MiB live, 124.2MiB allocated; 7ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log1p.f64 N)
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
cost-diff	0	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
cost-diff	0	(/.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))))
cost-diff	0	(log.f64 N)
cost-diff	0	(log1p.f64 N)
cost-diff	0	(-.f64 (log1p.f64 N) (log.f64 N))
cost-diff	0	(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
cost-diff	0	(+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
cost-diff	0	(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))
cost-diff	0	#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)))
cost-diff	0	(/.f64 #s(literal 1 binary64) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
cost-diff	0	(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N)
cost-diff	0	(-.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))
cost-diff	0	(/.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)
cost-diff	0	#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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	235
0	63	229
1	103	229
2	205	229
3	529	229
4	1327	229
5	4194	229
6	7467	229
0	8065	229

Stop Event

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

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

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

localize221.0ms (3.2%)

Memory

-21.7MiB live, 211.2MiB allocated; 50ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.5364837890737681	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.7013627930532609	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
accuracy	0.7169877930532609	(pow.f64 (log.f64 N) #s(literal 3 binary64))
accuracy	47.24144555566236	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
accuracy	0.0	(log.f64 N)
accuracy	0.00390625	(log1p.f64 N)
accuracy	47.839189212061086	(-.f64 (log1p.f64 N) (log.f64 N))
accuracy	0.0078125	(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
accuracy	0.23828125	(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))
accuracy	0.37890625	(/.f64 #s(literal 1/3 binary64) N)
accuracy	3.7365824424387606	#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)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) N)
accuracy	10.580253259942234	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy	0.07421875	(/.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)
accuracy	0.140625	(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.34765625	(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.8075408926408354	#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))

Samples

156.0ms	225×	1	valid
7.0ms	31×	0	valid

Compiler

Compiled 231 to 34 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

adjust: 29.0ms (22.3% of total)

ival-div: 24.0ms (18.4% of total)

ival-mult: 14.0ms (10.8% of total)

ival-log: 13.0ms (10% of total)

ival-sub: 11.0ms (8.5% of total)

ival-log1p: 9.0ms (6.9% of total)

ival-add: 9.0ms (6.9% of total)

ival-pow: 8.0ms (6.1% of total)

const: 7.0ms (5.4% of total)

ival-pow2: 5.0ms (3.8% of total)

exact: 1.0ms (0.8% of total)

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

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

series59.0ms (0.9%)

Memory

26.3MiB live, 71.6MiB allocated; 8ms collecting garbage

Counts

21 → 110

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)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) 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)))
(/.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 (log1p.f64 N) (log.f64 N))
(log1p.f64 N)
(log.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 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 3 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 1/3 binary64) N)
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(pow.f64 (log1p.f64 N) #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))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ 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)
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))))
(log N)
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))) (log N))) (* -1 (/ (- (* 1/3 (log N)) 1) (log N)))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))
(* -1 (pow (log N) 3))
(- (pow N 3) (pow (log N) 3))
(- (* (pow N 3) (+ 1 (* -3/2 N))) (pow (log N) 3))
(- (* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2)))) (pow (log N) 3))
(pow N 3)
(* (pow N 3) (+ 1 (* -3/2 N)))
(* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))
(* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ -1/4 N)
(/ (- (* 1/3 N) 1/4) N)
(pow (log N) 3)
(pow N 2)
(* (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))))
(/ (- 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)
(* N (- 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
-1/2
(- (* 1/3 (/ 1 N)) 1/2)
(* -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 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* -1/2 (/ (pow (log (/ 1 N)) 2) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* -1 (/ (log (/ 1 N)) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) N)
(/ (- (+ 1 (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* 2 (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))))) (+ (* -1 (/ (log (/ 1 N)) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 1/2 (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* -1/2 (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* -1 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))) N)
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(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))

Calls

3 calls:

Time	Variable		Point	Expression
30.0ms	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) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (pow (log (+ 1 N)) 3) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ 1/3 N) (pow (log N) 3) (pow (log (+ 1 N)) 2))
15.0ms	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) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (pow (log (+ 1 N)) 3) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ 1/3 N) (pow (log N) 3) (pow (log (+ 1 N)) 2))
10.0ms	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) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (pow (log (+ 1 N)) 3) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ 1/3 N) (pow (log N) 3) (pow (log (+ 1 N)) 2))

Time

Variable

Point

Expression

30.0ms

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

15.0ms

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

10.0ms

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

simplify257.0ms (3.7%)

Memory

-9.7MiB live, 333.9MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	567	5929
1	2013	4509
0	8318	4311

Stop Event

1×	iter limit
1×	node limit

Counts

110 → 109

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 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)
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))))
(log N)
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))) (log N))) (* -1 (/ (- (* 1/3 (log N)) 1) (log N)))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))
(* -1 (pow (log N) 3))
(- (pow N 3) (pow (log N) 3))
(- (* (pow N 3) (+ 1 (* -3/2 N))) (pow (log N) 3))
(- (* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2)))) (pow (log N) 3))
(pow N 3)
(* (pow N 3) (+ 1 (* -3/2 N)))
(* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))
(* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ -1/4 N)
(/ (- (* 1/3 N) 1/4) N)
(pow (log N) 3)
(pow N 2)
(* (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))))
(/ (- 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)
(* N (- 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
-1/2
(- (* 1/3 (/ 1 N)) 1/2)
(* -1 (log (/ 1 N)))
(+ (* -1 (log (/ 1 N))) (/ 1 N))
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
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Outputs
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(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) N) #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(fma.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) (/.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)) 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)))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (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)) (neg.f64 N))) (neg.f64 N)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))

rewrite84.0ms (1.2%)

Memory

6.1MiB live, 96.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	185
0	63	162
1	279	162
0	2070	162

Stop Event

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

Counts

21 → 238

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)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) 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)))
(/.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 (log1p.f64 N) (log.f64 N))
(log1p.f64 N)
(log.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 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 3 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 1/3 binary64) N)
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(pow.f64 (log1p.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)))
(-.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))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (/.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) (/.f64 #s(literal 1/2 binary64) N))) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/2 binary64) N) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (/.f64 #s(literal 1/2 binary64) N)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 N)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (.f64 N #s(literal 1/2 binary64))) (*.f64 N N))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) 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 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) (pow.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 2 binary64))) N))
(/.f64 (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64))) (neg.f64 N))
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64))) N))
(neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) (neg.f64 N)))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 N #s(literal -1 binary64)))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) N)
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(exp.f64 (*.f64 (log.f64 N) #s(literal -1 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) (neg.f64 N)) (neg.f64 N))
(/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (fabs.f64 N)) (fabs.f64 N))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)) (.f64 (/.f64 N (.f64 N N)) (/.f64 N (.f64 N N)))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 N (*.f64 N N))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 N (.f64 N N)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (-.f64 (.f64 (/.f64 N (.f64 N N)) (/.f64 N (.f64 N N))) (.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 N (.f64 N N))))))
(/.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)) (neg.f64 N))
(/.f64 (neg.f64 (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))) (*.f64 N 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)))
(/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N)
(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 N N)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
(/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (.f64 (fma.f64 N (-.f64 N (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 N N)))
(/.f64 (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (*.f64 (neg.f64 N) N))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))
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(log.f64 (pow.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log1p.f64 N))
(*.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 (log1p.f64 N))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
(+.f64 (cosh.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)))
(log.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) (pow.f64 (log1p.f64 N) #s(literal 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 (/.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 (neg.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))) (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 (-.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 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 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 (neg.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) (neg.f64 N))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)
(neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) N))
(neg.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (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 (-.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 (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 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 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 (-.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 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (/.f64 #s(literal -1/12 binary64) N))))
(/.f64 (+.f64 #s(literal 1/27 binary64) (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)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (neg.f64 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 (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 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal -1/3 binary64) (neg.f64 N))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1/3 binary64) N)
(neg.f64 (/.f64 #s(literal -1/3 binary64) N))
(neg.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 N)))
(*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 N))
(*.f64 (log.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 (log.f64 N))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(+.f64 (cosh.f64 (.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64)))
(log.f64 (pow.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(*.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)))

eval61.0ms (0.9%)

Memory: -13.2MiB live, 82.8MiB allocated; 18ms collecting garbage
Compiler: Compiled 15 497 to 1 831 computations (88.2% saved)

prune32.0ms (0.5%)

Memory

19.4MiB live, 65.9MiB allocated; 3ms collecting garbage

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	370	25	395
Fresh	1	2	3
Picked	1	4	5
Done	0	0	0
Total	372	31	403

Accuracy

99.5%

Counts

403 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.3%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log1p.f64 N) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 N))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	27.2%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 N))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	27.1%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	26.0%	(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) #s(literal 2 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))))
	25.2%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
▶	25.2%	(/.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 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))))
✓	25.2%	(/.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))))
	26.0%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.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))))
	25.2%	(/.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)))
	26.0%	(/.f64 (-.f64 (exp.f64 (*.f64 (log.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))))
	25.3%	(/.f64 (*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	28.2%	(/.f64 (log.f64 (pow.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	95.2%	(/.f64 #s(approx (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (/.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) N) #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 11/12 binary64)) (neg.f64 (log.f64 N))))) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (log.f64 N) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) N) (fma.f64 (log.f64 N) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N))) #s(literal 1 binary64)) (.f64 N N)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) N)) (fma.f64 (/.f64 (.f64 (log.f64 N) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (log.f64 N) (log.f64 N)) (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 N)))) (.f64 N N)) (fma.f64 #s(literal 3 binary64) (.f64 (log.f64 N) (log.f64 N)) (/.f64 #s(literal 1 binary64) (.f64 N N)))))))))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) N)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
✓	25.3%	(-.f64 (log1p.f64 N) (log.f64 N))
	28.2%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	94.1%	#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))
▶	93.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 N N)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.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))) N))
	94.1%	#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))
▶	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	94.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
	95.4%	#s(approx (- (log (+ N 1)) (log 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))))
	95.3%	#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)))
	91.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
✓	93.9%	#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)))
▶	91.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
	93.8%	#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)))
✓	83.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	95.5%	#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)))
▶	93.8%	#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 (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))

Compiler

Compiled 1 763 to 1 021 computations (42.1% saved)

simplify92.0ms (1.3%)

Memory

-20.7MiB live, 124.3MiB allocated; 11ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log1p.f64 N)
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
cost-diff	0	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
cost-diff	0	(/.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 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))))
cost-diff	0	(pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 N N))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 N N)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))))
cost-diff	10	(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 N N)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
cost-diff	0	(/.f64 #s(literal 1/3 binary64) N)
cost-diff	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))))
cost-diff	2	(/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N))
cost-diff	2	(-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (.f64 N N)))
cost-diff	0	#s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64))
cost-diff	0	(+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N)
cost-diff	0	(/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
cost-diff	0	(-.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
cost-diff	1	(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	495
0	95	487
1	165	481
2	421	470
3	1706	450
0	8744	450

Stop Event

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

Calls

Call 1

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

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

localize295.0ms (4.3%)

Memory

34.2MiB live, 267.5MiB allocated; 29ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5364837890737681	(pow.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))
accuracy	0.7013627930532609	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
accuracy	0.7169877930532609	(pow.f64 (log.f64 N) #s(literal 3 binary64))
accuracy	47.24144555566236	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
accuracy	0.2890625	(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (.f64 N N))
accuracy	0.37890625	(/.f64 #s(literal 1/3 binary64) N)
accuracy	0.383476269536884	(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 N N)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
accuracy	3.7365824424387606	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 N N)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))))
accuracy	0.265625	(/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N))
accuracy	0.34765625	(/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N))
accuracy	0.37890625	(/.f64 #s(literal 1/3 binary64) N)
accuracy	3.7365824424387606	#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))))
accuracy	0.0	(*.f64 N N)
accuracy	0.23828125	(/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))
accuracy	3.7365824424387606	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
accuracy	10.985644939033898	#s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64))
accuracy	0.07421875	(/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
accuracy	0.3046875	(fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64))
accuracy	0.39453125	(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))
accuracy	2.8075408926408354	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))

Samples

240.0ms	225×	1	valid
10.0ms	31×	0	valid

Compiler

Compiled 391 to 51 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 203.0ms

ival-div: 58.0ms (28.5% of total)

adjust: 48.0ms (23.6% of total)

ival-sub: 24.0ms (11.8% of total)

ival-log: 16.0ms (7.9% of total)

ival-add: 13.0ms (6.4% of total)

ival-mult: 11.0ms (5.4% of total)

ival-pow2: 9.0ms (4.4% of total)

ival-log1p: 8.0ms (3.9% of total)

ival-pow: 8.0ms (3.9% of total)

const: 7.0ms (3.4% of total)

exact: 1.0ms (0.5% of total)

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

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

series126.0ms (1.8%)

Memory

-22.7MiB live, 69.3MiB allocated; 9ms collecting garbage

Counts

26 → 130

Calls

Call 1

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

Outputs
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(* -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))
(/ 1/3 (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)
(/ 1/9 (pow N 2))
(/ (+ 1/9 (* -1/3 N)) (pow N 2))
(/ (+ 1/9 (* N (- (* 1/4 N) 1/3))) (pow N 2))
(/ (+ 1/9 (* N (- (* N (+ 1/4 (* -1 (pow N 2)))) 1/3))) (pow N 2))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))) (log N))) (* -1 (/ (- (* 1/3 (log N)) 1) (log N)))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))
(* -1 (pow (log N) 3))
(- (pow N 3) (pow (log N) 3))
(- (* (pow N 3) (+ 1 (* -3/2 N))) (pow (log N) 3))
(- (* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2)))) (pow (log N) 3))
(pow N 3)
(* (pow N 3) (+ 1 (* -3/2 N)))
(* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))
(* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))
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))))
-1/4
(- (* 1/3 N) 1/4)
(pow N 2)
(/ 1/2 (pow N 2))
(/ (+ 1/2 (* -1 N)) (pow N 2))
(* 1/3 N)
(* N (+ 1/3 (* -1/2 N)))
(* N (+ 1/3 (* N (- (* -1 N) 1/2))))
(pow (log N) 3)
(* (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))))
(/ (- 1/3 (* 1/4 (/ 1 N))) 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
(- 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 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
-1/2
(- (* 1/3 (/ 1 N)) 1/2)
(* -1 (pow N 2))
(* (pow N 2) (- (* 1/4 (/ 1 (pow N 2))) 1))
(* (pow N 2) (- (* 1/4 (/ 1 (pow N 2))) (+ 1 (/ 1/3 (pow N 3)))))
(* (pow N 2) (- (+ (* 1/4 (/ 1 (pow N 2))) (* 1/9 (/ 1 (pow N 4)))) (+ 1 (/ 1/3 (pow N 3)))))
1/4
(- 1/4 (* 1/3 (/ 1 N)))
(- (+ 1/4 (/ 1/9 (pow N 2))) (* 1/3 (/ 1 N)))
(/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))
(/ (- (+ (* -2 (/ (log (/ 1 N)) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* 2 (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))))) (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (- (+ (* -4 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (* -2 (log (/ 1 N))))) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)) 2)))) N)
(/ (- (+ (* -2 (/ (log (/ 1 N)) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* 2 (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* 2 (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (+ (/ 1 (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))))))))) (+ (/ (* (+ 1 (+ (* -1 (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (* 1/2 (log (/ 1 N))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)) 2))) (+ (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (- (+ (* -4 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (* -2 (log (/ 1 N))))) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)) 2))) (/ (* (- (+ (* -4 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (* -2 (log (/ 1 N)))) (- (+ (* -2 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (* -1/2 (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))))) (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (- (+ (* -4 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (* -2 (log (/ 1 N))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)) 2)))) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))))) N)
(/ (- (+ (* -2 (/ (log (/ 1 N)) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* -4/3 (/ (log (/ 1 N)) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 11/12 (* 1/2 (log (/ 1 N))))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* -1/4 (/ (pow (log (/ 1 N)) 2) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* 2 (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* 2 (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (+ (/ 1 (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))))))))))))) (+ (/ 1 (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (+ (/ (* (+ 1 (+ (* -1 (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (* 1/2 (log (/ 1 N))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)) 2))) (+ (/ (* (+ 1 (+ (* -1 (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (* 1/2 (log (/ 1 N))))) (- (+ (* -2 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (* -1/2 (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))))) (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (- (+ (* -4 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (* -2 (log (/ 1 N))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)) 2)))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (+ (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (- (+ (* -4 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (* -2 (log (/ 1 N))))) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)) 2))) (+ (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (- (+ (* -1/3 (log (/ 1 N))) (* 2/3 (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) 1)) (* (pow N 3) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)) 2))) (+ (/ (* (- (+ (* -4 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (* -2 (log (/ 1 N)))) (- (+ (* -2 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (* -1/2 (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))))) (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (- (+ (* -4 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (* -2 (log (/ 1 N))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)) 2)))) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (/ (* (- (+ (* -4 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (* -2 (log (/ 1 N)))) (- (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (+ (* 2 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))))) (+ (/ (* (+ 1 (+ (* -1 (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (* 1/2 (log (/ 1 N))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)) 2)) (/ (* (- (+ (* -4 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (* -2 (log (/ 1 N)))) (- (+ (* -2 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (* -1/2 (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))))) (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (- (+ (* -4 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (* -2 (log (/ 1 N))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)) 2)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))))))))) N)
(/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) N)
(/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) N)
(/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 2))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (pow (log (/ 1 N)) 2))))))))) N)
(/ (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -4/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 11/12 (* 1/2 (log (/ 1 N))))) (pow N 3))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (pow N 3))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (pow (log (/ 1 N)) 2))))))))))))) (/ 1 (pow N 3))) N)
(* -1 (pow (log (/ 1 N)) 3))
(+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N)))
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2) (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))) 2)))))) N))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(+ (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))))
(* -1 (* N (- (* 1/4 (/ 1 N)) 1/3)))
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (* (pow N 3) (+ 1 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))))
(pow (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))) 2)
(+ (* 2 (/ (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))) N)) (pow (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))) 2))
(+ (* -1 (/ (+ (* -2 (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ 1 (* -1 (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))))) N))) N)) (pow (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))) 2))
(+ (* -1 (/ (+ (* -2 (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ 1 (+ (* -1 (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ 1 (* -2/3 (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)))) N))) N)) (pow (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))) 2))

Calls

3 calls:

Time

Variable

Point

Expression

91.0ms

-inf

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

15.0ms

inf

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

14.0ms

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

simplify171.0ms (2.5%)

Memory

6.8MiB live, 143.5MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	662	7781
1	2313	5752
0	8802	5535

Stop Event

1×	iter limit
1×	node limit

Counts

130 → 129

Calls

Call 1

Inputs
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(* -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))
(/ 1/3 (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)
(/ 1/9 (pow N 2))
(/ (+ 1/9 (* -1/3 N)) (pow N 2))
(/ (+ 1/9 (* N (- (* 1/4 N) 1/3))) (pow N 2))
(/ (+ 1/9 (* N (- (* N (+ 1/4 (* -1 (pow N 2)))) 1/3))) (pow N 2))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))) (log N))) (* -1 (/ (- (* 1/3 (log N)) 1) (log N)))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))
(* -1 (pow (log N) 3))
(- (pow N 3) (pow (log N) 3))
(- (* (pow N 3) (+ 1 (* -3/2 N))) (pow (log N) 3))
(- (* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2)))) (pow (log N) 3))
(pow N 3)
(* (pow N 3) (+ 1 (* -3/2 N)))
(* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))
(* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))
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))))
-1/4
(- (* 1/3 N) 1/4)
(pow N 2)
(/ 1/2 (pow N 2))
(/ (+ 1/2 (* -1 N)) (pow N 2))
(* 1/3 N)
(* N (+ 1/3 (* -1/2 N)))
(* N (+ 1/3 (* N (- (* -1 N) 1/2))))
(pow (log N) 3)
(* (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))))
(/ (- 1/3 (* 1/4 (/ 1 N))) 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
(- 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 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
-1/2
(- (* 1/3 (/ 1 N)) 1/2)
(* -1 (pow N 2))
(* (pow N 2) (- (* 1/4 (/ 1 (pow N 2))) 1))
(* (pow N 2) (- (* 1/4 (/ 1 (pow N 2))) (+ 1 (/ 1/3 (pow N 3)))))
(* (pow N 2) (- (+ (* 1/4 (/ 1 (pow N 2))) (* 1/9 (/ 1 (pow N 4)))) (+ 1 (/ 1/3 (pow N 3)))))
1/4
(- 1/4 (* 1/3 (/ 1 N)))
(- (+ 1/4 (/ 1/9 (pow N 2))) (* 1/3 (/ 1 N)))
(/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))
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(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(+ (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))))
(* -1 (* N (- (* 1/4 (/ 1 N)) 1/3)))
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (* (pow N 3) (+ 1 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))))
(pow (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))) 2)
(+ (* 2 (/ (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))) N)) (pow (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))) 2))
(+ (* -1 (/ (+ (* -2 (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ 1 (* -1 (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))))) N))) N)) (pow (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))) 2))
(+ (* -1 (/ (+ (* -2 (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ 1 (+ (* -1 (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ 1 (* -2/3 (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)))) N))) N)) (pow (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))) 2))

Outputs
(/ -1/4 (pow N 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 N N))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))
(* -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))
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(/ (- (* 1/3 N) 1/4) (pow N 3))
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(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
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(/ (+ 1/3 (* -1/2 N)) (pow N 3))
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(/ 1/3 N)
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(/ (+ 1/3 (* N (- N 1/2))) N)
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(/ 1/9 (pow N 2))
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(/ (+ 1/9 (* -1/3 N)) (pow N 2))
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(/ (+ 1/9 (* N (- (* 1/4 N) 1/3))) (pow N 2))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) N #s(literal -1/3 binary64)) N #s(literal 1/9 binary64)) (*.f64 N N))
(/ (+ 1/9 (* N (- (* N (+ 1/4 (* -1 (pow N 2)))) 1/3))) (pow N 2))
(/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (.f64 N N)) N #s(literal -1/3 binary64)) N #s(literal 1/9 binary64)) (.f64 N N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
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(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))) (log N))) (* -1 (/ (- (* 1/3 (log N)) 1) (log N)))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))
(fma.f64 (fma.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 N)) (neg.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64)) #s(literal 1 binary64)) (log.f64 N)) (-.f64 (.f64 #s(literal 1/3 binary64) (log.f64 N)) #s(literal 1 binary64))) (log.f64 N)))) N) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64)) #s(literal 1 binary64)) (log.f64 N))) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(* -1 (pow (log N) 3))
(pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))
(- (pow N 3) (pow (log N) 3))
(-.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
(- (* (pow N 3) (+ 1 (* -3/2 N))) (pow (log N) 3))
(fma.f64 (fma.f64 #s(literal -3/2 binary64) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)))
(- (* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2)))) (pow (log N) 3))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 7/4 binary64) N) #s(literal 3/2 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)))
(pow N 3)
(pow.f64 N #s(literal 3 binary64))
(* (pow N 3) (+ 1 (* -3/2 N)))
(*.f64 (fma.f64 #s(literal -3/2 binary64) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 7/4 binary64) N) #s(literal 3/2 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -15/8 binary64) N #s(literal 7/4 binary64)) N) #s(literal 3/2 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))
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)
-1/4
#s(literal -1/4 binary64)
(- (* 1/3 N) 1/4)
(fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64))
(pow N 2)
(*.f64 N N)
(/ 1/2 (pow N 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 N N))
(/ (+ 1/2 (* -1 N)) (pow N 2))
(/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N))
(* 1/3 N)
(*.f64 #s(literal 1/3 binary64) N)
(* N (+ 1/3 (* -1/2 N)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N)
(* N (+ 1/3 (* N (- (* -1 N) 1/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1/2 binary64)) N #s(literal 1/3 binary64)) N)
(pow (log N) 3)
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(* (pow N 2) (+ 1 (* -1 N)))
(.f64 (-.f64 #s(literal 1 binary64) N) (.f64 N N))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 11/12 binary64) N) #s(literal 1 binary64)) N #s(literal 1 binary64)) (*.f64 N N))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/6 binary64) N #s(literal 11/12 binary64)) N) #s(literal 1 binary64)) N #s(literal 1 binary64)) (*.f64 N N))
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
(/ 1 N)
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(/ (- 1 (* 1/2 (/ 1 N))) N)
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(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) N)
1
#s(literal 1 binary64)
(- 1 (* 1/2 (/ 1 N)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64))))
(* N (- 1 (* 1/2 (/ 1 N))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
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(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 (/ 1 N)) 1/2)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(* -1 (pow N 2))
(*.f64 (neg.f64 N) N)
(* (pow N 2) (- (* 1/4 (/ 1 (pow N 2))) 1))
(.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) #s(literal 1 binary64)) (*.f64 N N))
(* (pow N 2) (- (* 1/4 (/ 1 (pow N 2))) (+ 1 (/ 1/3 (pow N 3)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64)))) (*.f64 N N))
(* (pow N 2) (- (+ (* 1/4 (/ 1 (pow N 2))) (* 1/9 (/ 1 (pow N 4)))) (+ 1 (/ 1/3 (pow N 3)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) (/.f64 #s(literal -1/4 binary64) (.f64 N N))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64))) (*.f64 N N))
1/4
#s(literal 1/4 binary64)
(- 1/4 (* 1/3 (/ 1 N)))
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(-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 N N)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/3 binary64) N))
(/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))
(.f64 (/.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N))
(/ (- (+ (* -2 (/ (log (/ 1 N)) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* 2 (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))))) (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (- (+ (* -4 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (* -2 (log (/ 1 N))))) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)) 2)))) N)
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(/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 3 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (+.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.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)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))) (neg.f64 N)))) (neg.f64 N))) (neg.f64 N))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))
(/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 3 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (+.f64 (+.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.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)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/4 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 19/12 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1/2 binary64)))) (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))) (neg.f64 N))) (log.f64 #s(literal -1 binary64))) (neg.f64 N)))) (neg.f64 N))) (neg.f64 N))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(fma.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64)) N) #s(literal -1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 3 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) (neg.f64 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 3 binary64)))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 3 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (+.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.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)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))) (neg.f64 N)))) (neg.f64 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 3 binary64)))
(+ (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)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #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)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) N))
(* -1 (* N (- (* 1/4 (/ 1 N)) 1/3)))
(*.f64 (neg.f64 N) (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (neg.f64 N))
(* -1 (* (pow N 3) (+ 1 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(pow (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))) 2)
(pow.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 2 binary64))
(+ (* 2 (/ (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))) N)) (pow (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))) 2))
(fma.f64 (/.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N) #s(literal 2 binary64) (pow.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -2 (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ 1 (* -1 (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))))) N))) N)) (pow (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))) 2))
(fma.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) N)) N) #s(literal -1 binary64) (pow.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -2 (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ 1 (+ (* -1 (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ 1 (* -2/3 (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)))) N))) N)) (pow (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))) 2))
(fma.f64 (/.f64 (fma.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal -2 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (/.f64 (fma.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (-.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)) (neg.f64 N))) N) #s(literal -1 binary64) (pow.f64 (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 2 binary64)))

rewrite167.0ms (2.4%)

Memory

13.7MiB live, 114.1MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	342
0	95	300
1	435	267
0	3692	267

Stop Event

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

Counts

26 → 391

Calls

Call 1

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

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

eval81.0ms (1.2%)

Memory: -8.1MiB live, 123.6MiB allocated; 18ms collecting garbage
Compiler: Compiled 26 099 to 2 819 computations (89.2% saved)

prune56.0ms (0.8%)

Memory

-7.3MiB live, 51.0MiB allocated; 5ms collecting garbage

Pruning

36 alts after pruning (29 fresh and 7 done)

	Pruned	Kept	Total
New	571	9	580
Fresh	2	20	22
Picked	2	3	5
Done	0	4	4
Total	575	36	611

Accuracy

99.5%

Counts

611 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.3%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log1p.f64 N) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 N))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))))
	27.3%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log1p.f64 N) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 N))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	27.2%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 N))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	27.1%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	26.0%	(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) #s(literal 2 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))))
	25.2%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
✓	25.2%	(/.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 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))))
✓	25.2%	(/.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))))
	26.0%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.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))))
	25.2%	(/.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)))
	26.0%	(/.f64 (-.f64 (exp.f64 (*.f64 (log.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))))
▶	25.3%	(/.f64 (*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	28.2%	(/.f64 (log.f64 (pow.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))))
	28.2%	(/.f64 (log.f64 (pow.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	95.2%	(/.f64 #s(approx (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (/.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) N) #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 11/12 binary64)) (neg.f64 (log.f64 N))))) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (log.f64 N) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) N) (fma.f64 (log.f64 N) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N))) #s(literal 1 binary64)) (.f64 N N)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) N)) (fma.f64 (/.f64 (.f64 (log.f64 N) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (log.f64 N) (log.f64 N)) (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 N)))) (.f64 N N)) (fma.f64 #s(literal 3 binary64) (.f64 (log.f64 N) (log.f64 N)) (/.f64 #s(literal 1 binary64) (.f64 N N)))))))))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) N)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
✓	25.3%	(-.f64 (log1p.f64 N) (log.f64 N))
	28.2%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	94.1%	#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))
▶	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.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))) N))
	94.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (/.f64 (-.f64 #s(literal 1/2 binary64) N) N)) N))
	94.1%	#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))
✓	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	94.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
	95.3%	#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)))
▶	95.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (.f64 N N)) (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (.f64 N N))) (.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N))) (+.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))))
	93.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 #s(literal -1/3 binary64) N) (.f64 N N)) (.f64 (.f64 (neg.f64 N) N) (-.f64 #s(literal 1/2 binary64) N))) (.f64 (.f64 (neg.f64 N) N) (*.f64 N N))))
▶	94.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (pow (- (/ 1/3 N) 1/2) 2) #s(literal 1/4 binary64)) (.f64 N N)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))))
▶	91.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
✓	93.9%	#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)))
✓	91.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
	91.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (-.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N)) (.f64 (-.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))))
	93.8%	#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)))
✓	83.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
	93.8%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 (neg.f64 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 (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))

Compiler

Compiled 2 100 to 1 188 computations (43.4% saved)

simplify86.0ms (1.3%)

Memory

2.1MiB live, 93.6MiB allocated; 7ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (log.f64 N) (log1p.f64 N))
cost-diff	0	(fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
cost-diff	0	(*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N)))
cost-diff	24	(/.f64 (*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
cost-diff	2	(+.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))
cost-diff	2	(*.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N))
cost-diff	2	(.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (.f64 N N)) (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (*.f64 N N)))
cost-diff	3	(-.f64 (.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (.f64 N N)) (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (.f64 N N))) (.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N)))
cost-diff	0	#s(approx (pow (- (/ 1/3 N) 1/2) 2) #s(literal 1/4 binary64))
cost-diff	0	(-.f64 #s(approx (pow (- (/ 1/3 N) 1/2) 2) #s(literal 1/4 binary64)) (*.f64 N N))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (pow (- (/ 1/3 N) 1/2) 2) #s(literal 1/4 binary64)) (.f64 N N)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))))
cost-diff	2	(/.f64 (-.f64 #s(approx (pow (- (/ 1/3 N) 1/2) 2) #s(literal 1/4 binary64)) (.f64 N N)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
cost-diff	0	#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N))
cost-diff	0	(-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
cost-diff	0	(/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
cost-diff	0	(/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N)
cost-diff	0	(/.f64 (-.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))) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.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))) N))
cost-diff	2	(-.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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	768
0	108	752
1	197	738
2	541	690
3	2283	682
0	8551	677

Stop Event

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

Calls

Call 1

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

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

localize381.0ms (5.5%)

Memory

-3.7MiB live, 348.8MiB allocated; 119ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.37109375	(/.f64 (*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
accuracy	0.4030075195368841	(*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N)))
accuracy	0.5364837890737681	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	47.839189212061086	(-.f64 (log1p.f64 N) (log.f64 N))
accuracy	0.42578125	(/.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (.f64 N N)) (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (.f64 N N))) (.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N))) (+.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
accuracy	0.5449600586106521	(*.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N))
accuracy	0.560878759768442	(.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (.f64 N N)) (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (*.f64 N N)))
accuracy	2.8075408926408354	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (.f64 N N)) (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (.f64 N N))) (.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N))) (+.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))))
accuracy	0.37890625	(/.f64 #s(literal 1/3 binary64) N)
accuracy	0.383476269536884	(/.f64 (-.f64 #s(approx (pow (- (/ 1/3 N) 1/2) 2) #s(literal 1/4 binary64)) (.f64 N N)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
accuracy	3.7365824424387606	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (pow (- (/ 1/3 N) 1/2) 2) #s(literal 1/4 binary64)) (.f64 N N)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))))
accuracy	11.415504866673128	#s(approx (pow (- (/ 1/3 N) 1/2) 2) #s(literal 1/4 binary64))
accuracy	0.0	(-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
accuracy	0.07421875	(/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)
accuracy	2.8075408926408354	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
accuracy	10.746392238996073	#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N))
accuracy	0.140625	(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
accuracy	0.27734375	(/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N)
accuracy	0.34765625	(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)
accuracy	2.8075408926408354	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.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))) N))

Samples

307.0ms	225×	1	valid
18.0ms	31×	0	valid

Compiler

Compiled 548 to 55 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 286.0ms

adjust: 70.0ms (24.5% of total)

ival-log: 61.0ms (21.3% of total)

ival-div: 49.0ms (17.1% of total)

ival-mult: 29.0ms (10.1% of total)

ival-sub: 24.0ms (8.4% of total)

ival-add: 16.0ms (5.6% of total)

ival-pow2: 14.0ms (4.9% of total)

const: 13.0ms (4.5% of total)

ival-log1p: 9.0ms (3.1% of total)

exact: 1.0ms (0.3% of total)

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

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

series23.0ms (0.3%)

Memory

-22.9MiB live, 22.3MiB allocated; 22ms collecting garbage

Counts

27 → 128

Calls

Call 1

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

Outputs
(/ -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 (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))
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ 1/9 (pow N 2))
(/ (+ 1/9 (* -1/3 N)) (pow N 2))
(/ (+ 1/9 (* N (- (* 1/4 N) 1/3))) (pow N 2))
(/ (+ 1/9 (* N (- (* N (+ 1/4 (* -1 (pow N 2)))) 1/3))) (pow N 2))
(/ 1/16 (pow N 8))
(/ (+ 1/16 (* -1/6 N)) (pow N 8))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 8))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/3 N))) 1/6))) (pow N 8))
(/ 1 (pow N 2))
(/ (- (* N (+ 1/3 (* N (- (* -1 N) 1/2)))) 1/4) (pow N 4))
(* -1 (pow (log N) 3))
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (pow (log N) 2))))
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (+ (* N (+ (log N) (+ (* -1 (* (log N) (+ 1 (* -1/2 (log N))))) (* -1/2 (pow (log N) 2))))) (pow (log N) 2)))))
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (+ (* N (+ (log N) (+ (* -1 (* (log N) (+ 1 (* -1/2 (log N))))) (+ (* -1/2 (pow (log N) 2)) (* N (+ 1 (+ (* -1 (log N)) (+ (* -1 (* (log N) (- (* 1/3 (log N)) 1))) (* 1/3 (pow (log N) 2)))))))))) (pow (log N) 2)))))
(pow (log N) 2)
(+ (* N (log N)) (pow (log N) 2))
(+ (* N (+ (log N) (* N (+ 1 (* -1/2 (log N)))))) (pow (log N) 2))
(+ (* N (+ (log N) (* N (+ 1 (+ (* -1/2 (log N)) (* N (- (* 1/3 (log N)) 1))))))) (pow (log N) 2))
(log N)
(+ N (log N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ -1/4 N)
(/ (- (* 1/3 N) 1/4) N)
(/ 1/3 N)
(pow N 2)
(* (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))))
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 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 (pow N 2))
(/ (- 1/3 (* 1/4 (/ 1 N))) (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 (pow N 2))
(* (pow N 2) (- (* 1/4 (/ 1 (pow N 2))) 1))
(* (pow N 2) (- (* 1/4 (/ 1 (pow N 2))) (+ 1 (/ 1/3 (pow N 3)))))
(* (pow N 2) (- (+ (* 1/4 (/ 1 (pow N 2))) (* 1/9 (/ 1 (pow N 4)))) (+ 1 (/ 1/3 (pow N 3)))))
1/4
(- 1/4 (* 1/3 (/ 1 N)))
(- (+ 1/4 (/ 1/9 (pow N 2))) (* 1/3 (/ 1 N)))
(/ -1 (pow N 2))
(/ (- (* 1/4 (/ 1 (pow N 2))) 1) (pow N 2))
(/ (- (* 1/4 (/ 1 (pow N 2))) (+ 1 (/ 1/3 (pow N 3)))) (pow N 2))
(/ (- (+ (* 1/4 (/ 1 (pow N 2))) (* 13/36 (/ 1 (pow N 4)))) (+ 1 (/ 1/3 (pow N 3)))) (pow N 2))
(/ 1/4 (pow N 4))
(/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 4))
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (* 1/3 (/ 1 N))) (pow N 4))
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (+ (* 1/3 (/ 1 N)) (* 1/6 (/ 1 (pow N 3))))) (pow N 4))
(/ -1 N)
(* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))
(/ (- (/ 1/3 (pow N 2)) (+ 1 (* 1/2 (/ 1 N)))) N)
(/ (- (/ 1/3 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))) N)
(/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) N)
(/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) N)
(/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (pow N 2))) (+ (* -1/2 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) N)) (+ (* 1/3 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (pow N 2))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))))))))) N)
(/ (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/2 (/ (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))) (pow N 3))) (+ (* -1/2 (/ (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (pow N 2))) (+ (* -1/2 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) N)) (+ (* -1/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/4 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (pow N 3))) (+ (* 1/3 (/ (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (pow N 3))) (+ (* 1/3 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (pow N 2))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))))))))))))) (/ 1 (pow N 3))) N)
(+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))))))
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 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)))
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
1/3
(- 1/3 (* 1/4 (/ 1 N)))
(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)))
(+ 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 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 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(* (pow N 2) (- (+ (* -1 (/ (- 1/3 (* 1/9 (/ 1 N))) (pow N 3))) (* 1/4 (/ 1 (pow N 2)))) 1))
(+ 1/4 (* -1 (/ (- 1/3 (* 1/9 (/ 1 N))) N)))
(/ (- (+ (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) (pow N 3))) (* 1/4 (/ 1 (pow N 2)))) 1) (pow N 2))
(/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 4))
(/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 4))
(* -1 (/ (+ 1 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))) N))
(/ (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) N)
(* -1 (/ (+ (* -1 (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* -1 (/ (+ (* -1 (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (* -1/2 (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))) N))
(* -1 (/ (+ (* -1 (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* -1 (/ (+ (* -1 (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1/2 (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (* -1/3 (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N)) (* -1/2 (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N))) N))
(* -1 (/ (+ (* -1 (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* -1 (/ (+ (* -1 (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1/2 (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1/3 (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (* -1/4 (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (+ (* -1/2 (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (* -1/3 (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (* -1/2 (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N))) N))
(+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) N)))) N)) (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)))) N)) (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(+ (* -2 (log (/ -1 N))) (* 2 (log -1)))
(+ (* -2 (log (/ -1 N))) (+ (* 2 (log -1)) (/ 1 N)))
(+ (* -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 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

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

4.0ms

inf

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

3.0ms

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

simplify159.0ms (2.3%)

Memory

16.2MiB live, 157.5MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	484	2594
1	1689	2187
0	8438	2079

Stop Event

1×	iter limit
1×	node limit

Counts

128 → 128

Calls

Call 1

Inputs
(/ -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 (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))
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ 1/9 (pow N 2))
(/ (+ 1/9 (* -1/3 N)) (pow N 2))
(/ (+ 1/9 (* N (- (* 1/4 N) 1/3))) (pow N 2))
(/ (+ 1/9 (* N (- (* N (+ 1/4 (* -1 (pow N 2)))) 1/3))) (pow N 2))
(/ 1/16 (pow N 8))
(/ (+ 1/16 (* -1/6 N)) (pow N 8))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 8))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/3 N))) 1/6))) (pow N 8))
(/ 1 (pow N 2))
(/ (- (* N (+ 1/3 (* N (- (* -1 N) 1/2)))) 1/4) (pow N 4))
(* -1 (pow (log N) 3))
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (pow (log N) 2))))
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (+ (* N (+ (log N) (+ (* -1 (* (log N) (+ 1 (* -1/2 (log N))))) (* -1/2 (pow (log N) 2))))) (pow (log N) 2)))))
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (+ (* N (+ (log N) (+ (* -1 (* (log N) (+ 1 (* -1/2 (log N))))) (+ (* -1/2 (pow (log N) 2)) (* N (+ 1 (+ (* -1 (log N)) (+ (* -1 (* (log N) (- (* 1/3 (log N)) 1))) (* 1/3 (pow (log N) 2)))))))))) (pow (log N) 2)))))
(pow (log N) 2)
(+ (* N (log N)) (pow (log N) 2))
(+ (* N (+ (log N) (* N (+ 1 (* -1/2 (log N)))))) (pow (log N) 2))
(+ (* N (+ (log N) (* N (+ 1 (+ (* -1/2 (log N)) (* N (- (* 1/3 (log N)) 1))))))) (pow (log N) 2))
(log N)
(+ N (log N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ -1/4 N)
(/ (- (* 1/3 N) 1/4) N)
(/ 1/3 N)
(pow N 2)
(* (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))))
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 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 (pow N 2))
(/ (- 1/3 (* 1/4 (/ 1 N))) (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 (pow N 2))
(* (pow N 2) (- (* 1/4 (/ 1 (pow N 2))) 1))
(* (pow N 2) (- (* 1/4 (/ 1 (pow N 2))) (+ 1 (/ 1/3 (pow N 3)))))
(* (pow N 2) (- (+ (* 1/4 (/ 1 (pow N 2))) (* 1/9 (/ 1 (pow N 4)))) (+ 1 (/ 1/3 (pow N 3)))))
1/4
(- 1/4 (* 1/3 (/ 1 N)))
(- (+ 1/4 (/ 1/9 (pow N 2))) (* 1/3 (/ 1 N)))
(/ -1 (pow N 2))
(/ (- (* 1/4 (/ 1 (pow N 2))) 1) (pow N 2))
(/ (- (* 1/4 (/ 1 (pow N 2))) (+ 1 (/ 1/3 (pow N 3)))) (pow N 2))
(/ (- (+ (* 1/4 (/ 1 (pow N 2))) (* 13/36 (/ 1 (pow N 4)))) (+ 1 (/ 1/3 (pow N 3)))) (pow N 2))
(/ 1/4 (pow N 4))
(/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 4))
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (* 1/3 (/ 1 N))) (pow N 4))
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (+ (* 1/3 (/ 1 N)) (* 1/6 (/ 1 (pow N 3))))) (pow N 4))
(/ -1 N)
(* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))
(/ (- (/ 1/3 (pow N 2)) (+ 1 (* 1/2 (/ 1 N)))) N)
(/ (- (/ 1/3 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))) N)
(/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) N)
(/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) N)
(/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (pow N 2))) (+ (* -1/2 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) N)) (+ (* 1/3 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (pow N 2))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))))))))) N)
(/ (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/2 (/ (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))) (pow N 3))) (+ (* -1/2 (/ (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (pow N 2))) (+ (* -1/2 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) N)) (+ (* -1/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/4 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (pow N 3))) (+ (* 1/3 (/ (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (pow N 3))) (+ (* 1/3 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) (pow N 2))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))))))))))))) (/ 1 (pow N 3))) N)
(+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))))))
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 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)))
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
1/3
(- 1/3 (* 1/4 (/ 1 N)))
(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)))
(+ 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 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 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(* (pow N 2) (- (+ (* -1 (/ (- 1/3 (* 1/9 (/ 1 N))) (pow N 3))) (* 1/4 (/ 1 (pow N 2)))) 1))
(+ 1/4 (* -1 (/ (- 1/3 (* 1/9 (/ 1 N))) N)))
(/ (- (+ (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) (pow N 3))) (* 1/4 (/ 1 (pow N 2)))) 1) (pow N 2))
(/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 4))
(/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 4))
(* -1 (/ (+ 1 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))) N))
(/ (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) N)
(* -1 (/ (+ (* -1 (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* -1 (/ (+ (* -1 (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (* -1/2 (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))) N))
(* -1 (/ (+ (* -1 (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* -1 (/ (+ (* -1 (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1/2 (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (* -1/3 (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N)) (* -1/2 (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N))) N))
(* -1 (/ (+ (* -1 (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* -1 (/ (+ (* -1 (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1/2 (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1/3 (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (* -1/4 (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (+ (* -1/2 (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (* -1/3 (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (* -1/2 (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N))) N))
(+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) N)))) N)) (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)))) N)) (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(+ (* -2 (log (/ -1 N))) (* 2 (log -1)))
(+ (* -2 (log (/ -1 N))) (+ (* 2 (log -1)) (/ 1 N)))
(+ (* -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 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))

Outputs
(/ -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)))
(/ (- (* 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)))
(* -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)))
(/ 1/3 (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)))
(/ 1/9 (pow N 2))
(/.f64 #s(literal 1/9 binary64) (*.f64 N N))
(/ (+ 1/9 (* -1/3 N)) (pow N 2))
(/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/9 binary64)) N) N)
(/ (+ 1/9 (* N (- (* 1/4 N) 1/3))) (pow N 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) N #s(literal -1/3 binary64)) N #s(literal 1/9 binary64)) N) N)
(/ (+ 1/9 (* N (- (* N (+ 1/4 (* -1 (pow N 2)))) 1/3))) (pow N 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) N #s(literal -1/3 binary64)) N #s(literal 1/9 binary64)) N) N)
(/ 1/16 (pow N 8))
(/.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal 8 binary64)))
(/ (+ 1/16 (* -1/6 N)) (pow N 8))
(/.f64 (fma.f64 #s(literal -1/6 binary64) N #s(literal 1/16 binary64)) (pow.f64 N #s(literal 8 binary64)))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 8))
(/.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 8 binary64)))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/3 N))) 1/6))) (pow N 8))
(/.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 8 binary64)))
(/ 1 (pow N 2))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(/ (- (* N (+ 1/3 (* N (- (* -1 N) 1/2)))) 1/4) (pow N 4))
(/.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 4 binary64)))
(* -1 (pow (log N) 3))
(neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (pow (log N) 2))))
(fma.f64 #s(literal 0 binary64) N (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (+ (* N (+ (log N) (+ (* -1 (* (log N) (+ 1 (* -1/2 (log N))))) (* -1/2 (pow (log N) 2))))) (pow (log N) 2)))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64)) (log.f64 N) (neg.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64) (log.f64 N)))) N #s(literal 0 binary64)) N (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))
(+ (* -1 (pow (log N) 3)) (* N (+ (* -1 (pow (log N) 2)) (+ (* N (+ (log N) (+ (* -1 (* (log N) (+ 1 (* -1/2 (log N))))) (+ (* -1/2 (pow (log N) 2)) (* N (+ 1 (+ (* -1 (log N)) (+ (* -1 (* (log N) (- (* 1/3 (log N)) 1))) (* 1/3 (pow (log N) 2)))))))))) (pow (log N) 2)))))
(fma.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64)) (log.f64 N) (neg.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64) (log.f64 N)))) (fma.f64 (-.f64 (-.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 N)) #s(literal 1 binary64)) (log.f64 N))) (log.f64 N)) N N)) N #s(literal 0 binary64)) N (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(+ (* N (log N)) (pow (log N) 2))
(*.f64 (log.f64 N) (+.f64 (log.f64 N) N))
(+ (* N (+ (log N) (* N (+ 1 (* -1/2 (log N)))))) (pow (log N) 2))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64)) N (log.f64 N)) N (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(+ (* N (+ (log N) (* N (+ 1 (+ (* -1/2 (log N)) (* N (- (* 1/3 (log N)) 1))))))) (pow (log N) 2))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 N)) #s(literal 1 binary64)) N (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64))) N (log.f64 N)) N (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(log N)
(log.f64 N)
(+ N (log N))
(+.f64 (log.f64 N) N)
(+ (log N) (* N (+ 1 (* -1/2 N))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (log.f64 N))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(fma.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 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 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)
(/ -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)
(/ 1/3 N)
(/.f64 #s(literal 1/3 binary64) N)
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (* -1 N)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) N) N) N)
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(.f64 (.f64 (fma.f64 (-.f64 (*.f64 #s(literal 11/12 binary64) N) #s(literal 1 binary64)) N #s(literal 1 binary64)) N) N)
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(.f64 (.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/6 binary64) N #s(literal 11/12 binary64)) N) #s(literal 1 binary64)) N #s(literal 1 binary64)) N) N)
1
#s(literal 1 binary64)
(- 1 (* 1/2 (/ 1 N)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(- (+ 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 (/.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 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) 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 (/.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)
(/ 1/3 (pow N 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) 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 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)
(* -1 (pow N 2))
(*.f64 (neg.f64 N) N)
(* (pow N 2) (- (* 1/4 (/ 1 (pow N 2))) 1))
(.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) N) N) #s(literal 1 binary64)) N) N)
(* (pow N 2) (- (* 1/4 (/ 1 (pow N 2))) (+ 1 (/ 1/3 (pow N 3)))))
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(* -1 (/ (+ (* -1 (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* -1 (/ (+ (* -1 (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1/2 (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1/3 (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (* -1/4 (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (+ (* -1/2 (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (* -1/3 (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (* -1/2 (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N))) N))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) (-.f64 (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 3 binary64) (fma.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) #s(literal -1/4 binary64) (+.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3/4 binary64) #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64))) N) #s(literal -1 binary64) (fma.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) #s(literal -1/3 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3/2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3/2 binary64) #s(literal -1 binary64))))) (neg.f64 N)))) N))) N)
(+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) N))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) N)))) N)) (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) (-.f64 (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 -3 binary64) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3/2 binary64) #s(literal -1 binary64)) N)) (neg.f64 N)))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)))) N)) (+ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3 binary64)) (/.f64 (+.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3/2 binary64) (/.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)) N)) #s(literal 1 binary64)) N)) (neg.f64 N)))
(+ (* -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 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) N) #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(fma.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) (/.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)) 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)))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(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 #s(literal 1 binary64) (-.f64 (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)))

rewrite151.0ms (2.2%)

Memory

15.0MiB live, 106.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	66	613
0	108	481
1	487	400
0	4042	400

Stop Event

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

Counts

27 → 458

Calls

Call 1

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

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

eval124.0ms (1.8%)

Memory: 2.1MiB live, 148.5MiB allocated; 20ms collecting garbage
Compiler: Compiled 36 636 to 2 797 computations (92.4% saved)

prune84.0ms (1.2%)

Memory

2.4MiB live, 112.6MiB allocated; 15ms collecting garbage

Pruning

44 alts after pruning (35 fresh and 9 done)

	Pruned	Kept	Total
New	590	18	608
Fresh	7	17	24
Picked	3	2	5
Done	0	7	7
Total	600	44	644

Accuracy

99.5%

Counts

644 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.3%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log1p.f64 N) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 N))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))))
	27.3%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log1p.f64 N) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 N))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	27.2%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 N))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	27.1%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	26.0%	(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) #s(literal 2 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))))
	25.2%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
✓	25.2%	(/.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 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))))
✓	25.2%	(/.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))))
	26.0%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.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))))
	25.2%	(/.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)))
	26.0%	(/.f64 (-.f64 (exp.f64 (*.f64 (log.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))))
	23.2%	(/.f64 (*.f64 (fma.f64 (/.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))) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.3%	(/.f64 (*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	28.2%	(/.f64 (log.f64 (pow.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	28.2%	(/.f64 (log.f64 (pow.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))))
	95.2%	(/.f64 #s(approx (* (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (- (log (+ 1 N)) (log N))) (/.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) N) #s(literal -3 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 N) (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -3/2 binary64) (log.f64 N) #s(literal 1 binary64)))) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 (.f64 (log.f64 N) #s(literal 3 binary64)) N) (/.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N))) (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 N) (.f64 #s(literal -3/4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/3 binary64) (+.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 N) (.f64 #s(literal -1/2 binary64) (log.f64 N))) (.f64 N N)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (.f64 N N)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) N)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
✓	25.3%	(-.f64 (log1p.f64 N) (log.f64 N))
	28.2%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	94.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (neg.f64 N) N #s(approx (pow (- (/ 1/3 N) 1/2) 2) #s(literal 1/4 binary64))) (.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N)))
	94.1%	#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))
	94.1%	#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))
✓	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
	95.5%	#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) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
	94.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
	94.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (.f64 N N)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) N)) N)) (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) N)) N) (pow.f64 N #s(literal -2 binary64)))) (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) N)) N) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) N)) N))))
	95.3%	#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)))
	94.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (.f64 N N)) (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (.f64 N N))) (/.f64 #s(literal 1 binary64) (.f64 N N))) (+.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (.f64 N N)) (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (.f64 N N))) (.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N))) #s(approx (+ (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (* N 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) #s(literal 1 binary64)) N))))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (neg.f64 N)) (.f64 (.f64 N N) #s(literal 1 binary64))) (.f64 (*.f64 N N) (neg.f64 N))))
✓	94.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (pow (- (/ 1/3 N) 1/2) 2) #s(literal 1/4 binary64)) (.f64 N N)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))))
	94.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
✓	91.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
	95.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (* N N)) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (* N N))) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) N)) (pow.f64 N #s(literal 4 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N))) (+.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) (.f64 N N)) (/.f64 #s(literal -1 binary64) N))))
✓	93.9%	#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)))
✓	91.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
	91.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (-.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N)) (.f64 (-.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))))
	94.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (pow (- (/ 1/3 N) 1/2) 2) (* N N)) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) N) N) #s(literal 1 binary64)) N) N)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (.f64 N N))))
	93.8%	#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)))
✓	83.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	91.5%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 #s(literal -1 binary64) N)))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) (*.f64 N N)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))
	93.8%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal -1/3 binary64) (.f64 (neg.f64 N) (.f64 N N))) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (*.f64 N N))))
	94.0%	#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 #s(approx (pow (- (/ 1/3 N) 1/2) 2) #s(literal 1/4 binary64)) (.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N)) (/.f64 (.f64 (neg.f64 N) N) (.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N))))

Compiler

Compiled 3 906 to 1 317 computations (66.3% saved)

regimes32.0ms (0.5%)

Memory

-40.4MiB live, 51.7MiB allocated; 4ms collecting garbage

Counts

61 → 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)))
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(/.f64 #s(approx (* (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (- (log (+ 1 N)) (log N))) (/.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) N) #s(literal -3 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 N) (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -3/2 binary64) (log.f64 N) #s(literal 1 binary64)))) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 (.f64 (log.f64 N) #s(literal 3 binary64)) N) (/.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N))) (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 N) (.f64 #s(literal -3/4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/3 binary64) (+.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 N) (.f64 #s(literal -1/2 binary64) (log.f64 N))) (.f64 N N)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (.f64 N N)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) N)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 #s(approx (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (/.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) N) #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 11/12 binary64)) (neg.f64 (log.f64 N))))) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (log.f64 N) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) N) (fma.f64 (log.f64 N) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N))) #s(literal 1 binary64)) (.f64 N N)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) N)) (fma.f64 (/.f64 (.f64 (log.f64 N) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (log.f64 N) (log.f64 N)) (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 N)))) (.f64 N N)) (fma.f64 #s(literal 3 binary64) (.f64 (log.f64 N) (log.f64 N)) (/.f64 #s(literal 1 binary64) (.f64 N N)))))))))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) N)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))

Outputs

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

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

Calls

2 calls:

14.0ms	N
11.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.2%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
99.2%	2	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes24.0ms (0.3%)

Memory

43.2MiB live, 43.2MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

Calls

2 calls:

12.0ms	N
9.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.2%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
99.2%	2	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes15.0ms (0.2%)

Memory

-18.4MiB live, 28.5MiB allocated; 2ms collecting garbage

Counts

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

Outputs

#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N 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
95.5%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
95.5%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Counts

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

Calls

2 calls:

4.0ms	N
3.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
94.1%	1	`N`
94.1%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Counts

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

4.0ms	N
3.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
94.1%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
94.1%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Counts

8 → 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 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) 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(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (-.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N)) (.f64 (-.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal 1/3 binary64) N) #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
93.9%	1	`N`
93.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes23.0ms (0.3%)

Memory

-49.6MiB live, 5.0MiB allocated; 4ms 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 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))

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

Calls

2 calls:

21.0ms	N
1.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
91.5%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
91.5%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

5.2MiB live, 5.2MiB 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 #s(approx (- (/ 1/3 N) 1/2) #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:

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

Results

Accuracy	Segments	Branch
91.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
91.3%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
83.5%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
83.5%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch8.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	600.8122776882499	1468.061234120663

Samples

3.0ms

80×

valid

Compiler

Compiled 330 to 208 computations (37% saved)

Precisions

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

ival-log: 1.0ms (50.3% of total)

ival-log1p: 1.0ms (50.3% 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

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	600.8122776882499	1468.061234120663

Compiler

Compiled 200 to 163 computations (18.5% saved)

simplify33.0ms (0.5%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	272
1	100	272
2	131	272
3	191	272
4	406	272
5	2469	272

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 N #s(literal 1450 binary64)) (/.f64 (log.f64 (pow.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)))
(if (<=.f64 N #s(literal 1450 binary64)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (pow (- (/ 1/3 N) 1/2) 2) #s(literal 1/4 binary64)) (.f64 N 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 (-.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 #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(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #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 1450 binary64)) (/.f64 (log.f64 (pow.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)))
(if (<=.f64 N #s(literal 1450 binary64)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (pow (- (/ 1/3 N) 1/2) 2) #s(literal 1/4 binary64)) (.f64 N 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 (-.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 #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(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #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))

derivations901.0ms (13.1%)

Memory

13.3MiB live, 292.1MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	185
0	63	162
1	279	162
0	2070	162
0	88	258
1	254	232
2	702	231
3	2862	227
0	8229	218
0	567	5929
1	2013	4509
0	8318	4311
0	662	7781
1	2313	5752
0	8802	5535
0	6	16
0	10	15
1	41	15
0	287	12

Stop Event

1×	fuel
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 272 to 79 computations (71% saved)

preprocess116.0ms (1.7%)

Memory: -20.8MiB live, 75.3MiB allocated; 15ms collecting garbage
Compiler: Compiled 612 to 208 computations (66% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.9s (26.9%)

explain184.0ms (2.7%)

preprocess260.0ms (3.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify158.0ms (2.3%)

localize42.0ms (0.6%)

series64.0ms (0.9%)

simplify213.0ms (3.1%)

rewrite83.0ms (1.2%)

eval5.0ms (0.1%)

prune10.0ms (0.1%)

simplify132.0ms (1.9%)

localize221.0ms (3.2%)

series59.0ms (0.9%)

simplify257.0ms (3.7%)

rewrite84.0ms (1.2%)

eval61.0ms (0.9%)

prune32.0ms (0.5%)

simplify92.0ms (1.3%)

localize295.0ms (4.3%)

series126.0ms (1.8%)

simplify171.0ms (2.5%)

rewrite167.0ms (2.4%)

eval81.0ms (1.2%)

prune56.0ms (0.8%)

simplify86.0ms (1.3%)

localize381.0ms (5.5%)

series23.0ms (0.3%)

simplify159.0ms (2.3%)

rewrite151.0ms (2.2%)

eval124.0ms (1.8%)

prune84.0ms (1.2%)

regimes32.0ms (0.5%)

regimes24.0ms (0.3%)

regimes15.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes23.0ms (0.3%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch8.0ms (0.1%)

bsearch1.0ms (0%)

simplify33.0ms (0.5%)

derivations901.0ms (13.1%)

preprocess116.0ms (1.7%)

end0.0ms (0%)

Profiling