Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

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)

sample1.4s (14.5%)

Memory

16.0MiB live, 1 722.9MiB allocated

Samples

1.0s	6 416×	1	valid
105.0ms	1 840×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 874.0ms

ival-log: 303.0ms (34.7% of total)

ival-log1p: 269.0ms (30.8% of total)

ival-sub: 118.0ms (13.5% of total)

adjust: 117.0ms (13.4% of total)

ival->: 24.0ms (2.7% of total)

ival-<: 17.0ms (1.9% of total)

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

exact: 11.0ms (1.3% of total)

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

Bogosity

explain111.0ms (1.2%)

Memory

27.3MiB live, 225.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
251	1	(62.74277638551205)	2	(9.159151531165369)	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
0	0	-	0	-	`N`
0	0	-	0	-	`(log.f64 N)`
0	0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	0	-	0	-	`(log.f64 (+.f64 N #s(literal 1 binary64)))`
0	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	250	1

Confusion

	Predicted +	Predicted -
+	249	2
-	1	4

Precision

0.996

Recall

0.9920318725099602

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	249	1	1
-	1	0	4

Precision?

0.9960159362549801

Recall?

0.9960159362549801

Freqs

test

number	freq
0	6
1	250

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

56.0ms	392×	1	valid
9.0ms	120×	0	valid

Compiler

Compiled 67 to 34 computations (49.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

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

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

adjust: 9.0ms (19.3% of total)

ival-sub: 5.0ms (10.7% of total)

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

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

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

exact: 0.0ms (0% of total)

preprocess21.0ms (0.2%)

Memory

5.0MiB live, 44.3MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
46×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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 8 to 6 computations (25% saved)

eval1.0ms (0%)

Memory: -38.9MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.0%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify8.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Algorithm

1×	egg-herbie

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

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
36×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	14

Stop Event

1×	iter limit
1×	saturated
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))
N
#s(literal 1 binary64)
(log.f64 N)

localize59.0ms (0.6%)

Memory

14.6MiB live, 55.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0	(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	0	(log.f64 N)
accuracy	48.00575271800666	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

27.0ms	196×	1	valid
24.0ms	60×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-log1p: 8.0ms (35.8% of total)

ival-log: 6.0ms (26.9% of total)

adjust: 4.0ms (17.9% of total)

ival-sub: 3.0ms (13.4% of total)

ival-add: 1.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

series60.0ms (0.6%)

Memory

-16.3MiB live, 98.7MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt N>
#<alt (* N (+ 1 (* -1/2 N)))>
#<alt (* N (+ 1 (* N (- (* 1/3 N) 1/2))))>
#<alt (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (+ (* -1 (log (/ 1 N))) (/ 1 N))>
#<alt (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))>
#<alt (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (log N)>
#<alt (log N)>
#<alt (log N)>
#<alt (log N)>
#<alt (* -1 (log (/ 1 N)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>

Calls

12 calls:

Time	Variable		Point	Expression
33.0ms	N	@	0	(log N)
18.0ms	N	@	-inf	(log N)
6.0ms	N	@	inf	(log N)
0.0ms	N	@	0	(log (+ N 1))
0.0ms	N	@	-inf	(- (log (+ N 1)) (log N))

simplify284.0ms (3%)

Memory

22.6MiB live, 497.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 472×	`lower-fma.f64`
11 472×	`lower-fma.f32`
2 762×	`lower-*.f64`
2 762×	`lower-*.f32`
2 058×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	348
1	250	302
2	588	301
3	1587	295
4	4201	287
5	6272	287
6	7327	287
0	8056	278

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 45

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

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

rewrite336.0ms (3.5%)

Memory

-17.6MiB live, 470.9MiB allocated

Rules

4 976×	`lower-/.f64`
4 976×	`lower-/.f32`
3 238×	`lower-*.f64`
3 238×	`lower-*.f32`
2 654×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	15
1	42	15
2	269	15
3	2627	15
0	8846	12

Stop Event

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

Counts

4 → 425

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

eval60.0ms (0.6%)

Memory: 18.5MiB live, 97.4MiB allocated
Compiler: Compiled 13 693 to 1 544 computations (88.7% saved)

prune73.0ms (0.8%)

Memory

-29.9MiB live, 170.2MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	450	20	470
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	451	20	471

Accuracy

99.4%

Counts

471 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.9%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
▶	25.0%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	26.4%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)))
	26.4%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (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)))))) (.f64 (log.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 N) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (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))))))))
	24.9%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N 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) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	24.9%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	25.0%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	25.0%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
▶	24.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	25.0%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 9 binary64)) (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
	25.1%	(-.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
	27.8%	(.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (log.f64 N) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	27.8%	(.f64 (log.f64 (fma.f64 N N N)) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))))
▶	28.3%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	27.8%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	27.8%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
	90.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N))
	94.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
▶	83.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 1 300 to 520 computations (60% saved)

simplify192.0ms (2%)

Memory

-10.6MiB live, 273.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	320	(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
cost-diff	384	(*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
cost-diff	6464	(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)))
cost-diff	42048	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
cost-diff	0	(log.f64 (fma.f64 N N N))
cost-diff	0	(/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N)))
cost-diff	0	(log1p.f64 N)
cost-diff	7424	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
cost-diff	0	(+.f64 N #s(literal 1 binary64))
cost-diff	0	(/.f64 N (+.f64 N #s(literal 1 binary64)))
cost-diff	0	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
cost-diff	0	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
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 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N))

Rules

5 064×	`lower-*.f32`
5 058×	`lower-*.f64`
4 378×	`lower-/.f32`
4 356×	`lower-/.f64`
2 744×	`lower-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	361
0	73	322
1	131	322
2	262	322
3	1213	312
4	4598	312
0	8202	312

Stop Event

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

Calls

Call 1

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

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

localize221.0ms (2.3%)

Memory

35.0MiB live, 226.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.3997650390737681	(*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
accuracy	0.5332413086106522	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	0.5622062988422102	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	47.53142005725717	(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)))
accuracy	0.08203125	(/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N)))
accuracy	0.4921875	(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))
accuracy	0.5332413086106522	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	47.790580302942125	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
accuracy	0.0078125	(/.f64 N (+.f64 N #s(literal 1 binary64)))
accuracy	45.81975542716329	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
accuracy	0	(/.f64 #s(literal 1 binary64) N)
accuracy	10.715196273364072	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy	0.078125	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
accuracy	0.1328125	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
accuracy	0.33984375	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
accuracy	2.330029710854541	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N))

Samples

132.0ms	193×	1	valid
19.0ms	63×	0	valid

Compiler

Compiled 389 to 40 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-div: 27.0ms (22.3% of total)

ival-log: 22.0ms (18.2% of total)

adjust: 12.0ms (9.9% of total)

ival-mult: 12.0ms (9.9% of total)

ival-add: 11.0ms (9.1% of total)

ival-log1p: 9.0ms (7.4% of total)

ival-pow2: 8.0ms (6.6% of total)

const: 8.0ms (6.6% of total)

ival-sub: 6.0ms (5% of total)

ival-neg: 4.0ms (3.3% of total)

exact: 1.0ms (0.8% of total)

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

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

series62.0ms (0.6%)

Memory

-18.4MiB live, 62.5MiB allocated

Counts

23 → 276

Calls

Call 1

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

Outputs
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ -1/2 N)>
#<alt (/ (- (* 1/3 (/ 1 N)) 1/2) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ -1/2 N)>
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* 1/2 N) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))>
#<alt (/ -1 N)>
#<alt (/ (- (* 1/2 (/ 1 N)) 1) N)>
#<alt (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ -1 N)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))>
#<alt N>
#<alt (* N (+ 1 (* -1 N)))>
#<alt (* N (+ 1 (* N (- N 1))))>
#<alt (* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 N))>
#<alt (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))>
#<alt (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))>
#<alt 1>
#<alt (- 1 (/ 1 N))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N)))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)>
#<alt (/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)>
#<alt (/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/16 (/ 1 (log (/ 1 N)))) (+ 1/12 (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N)))))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (+ 1/12 (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)>
#<alt (* -1 (/ (- (/ (log -1) (log (/ -1 N))) 1) N))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (log (/ -1 N)))) (+ (* -1/4 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/24 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/6 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (+ (* 1/4 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N))))))) (log (/ -1 N))))))) N)) (+ (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N))>
#<alt N>
#<alt (* N (+ 1 (* -1/2 N)))>
#<alt (* N (+ 1 (* N (- (* 1/3 N) 1/2))))>
#<alt (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (+ (* -1 (log (/ 1 N))) (/ 1 N))>
#<alt (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))>
#<alt (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))>
#<alt (/ N (log N))>
#<alt (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))>
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#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (pow (log N) 2)>
#<alt (pow (log N) 2)>
#<alt (pow (log N) 2)>
#<alt (pow (log N) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1)))>
#<alt (* -1/2 (log (/ 1 N)))>
#<alt (- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))>
#<alt (- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))>
#<alt (- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))>
#<alt (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))>
#<alt (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))))>
#<alt (+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (* -1 N)))>
#<alt (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))>
#<alt (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))>
#<alt (- (+ (* -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)))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (+ (* -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))>
#<alt (+ (* -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

69 calls:

Time	Variable		Point	Expression
9.0ms	N	@	-inf	(/ (- (* 1 (/ (log (+ (* N N) N)) (pow (log N) 2))) (* (/ (log (+ (* N N) N)) (pow (log (+ 1 N)) 2)) 1)) (* (/ (log (+ (* N N) N)) (pow (log (+ 1 N)) 2)) (/ (log (+ (* N N) N)) (pow (log N) 2))))
8.0ms	N	@	-inf	(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N)))))
6.0ms	N	@	inf	(/ (- (* 1 (/ (log (+ (* N N) N)) (pow (log N) 2))) (* (/ (log (+ (* N N) N)) (pow (log (+ 1 N)) 2)) 1)) (* (/ (log (+ (* N N) N)) (pow (log (+ 1 N)) 2)) (/ (log (+ (* N N) N)) (pow (log N) 2))))
5.0ms	N	@	-inf	(* (/ (log (+ (* N N) N)) (pow (log (+ 1 N)) 2)) (/ (log (+ (* N N) N)) (pow (log N) 2)))
4.0ms	N	@	inf	(pow (log N) 2)

simplify382.0ms (4%)

Memory

7.8MiB live, 434.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 080×	`lower-fma.f64`
6 080×	`lower-fma.f32`
5 488×	`lower-*.f64`
5 488×	`lower-*.f32`
5 400×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1163	11679
1	3795	10924
0	8303	10479

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 272

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 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 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))
(/ -1/4 (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 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 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))
(/ -1/4 (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
(- 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
(- 1 (* 1/2 (/ 1 N)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(/ -1/4 (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 (* -1/2 N))) 1/4) (pow N 3))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ -1/2 N)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 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 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(/ -1 N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ -1 N)
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- N 1))))
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))
1
(- 1 (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))
1
(- 1 (/ 1 N))
(+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N)))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1 N)
(/ (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)
(/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)
(/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/16 (/ 1 (log (/ 1 N)))) (+ 1/12 (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N)))))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (+ 1/12 (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)
(* -1 (/ (- (/ (log -1) (log (/ -1 N))) 1) N))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (log (/ -1 N)))) (+ (* -1/4 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/24 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/6 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (+ (* 1/4 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N))))))) (log (/ -1 N))))))) N)) (+ (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N))
N
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(* -1 (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)))
(+ (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))))
(/ N (log N))
(* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (* 1/2 (/ 1 (pow (log N) 2)))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* N (- (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/4 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))) (* 2/3 (/ 1 (pow (log N) 2)))))))))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
1/2
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(- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))
(+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))))
(+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 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))))
(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)))
(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 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(-.f64 (fma.f64 N (*.f64 N #s(literal -1/2 binary64)) N) (log.f64 N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 N (fma.f64 N (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (log.f64 N)))
(/ 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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N)))) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (neg.f64 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)) (neg.f64 N)) #s(literal -1 binary64)) (neg.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 N #s(literal 1/3 binary64) #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 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #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 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N)))) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (neg.f64 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)) (neg.f64 N)) #s(literal -1 binary64)) (neg.f64 N))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 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 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal -1/2 binary64)) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) (neg.f64 N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) (neg.f64 N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) (neg.f64 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 (fma.f64 N (*.f64 N #s(literal -1/2 binary64)) N) (log.f64 N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 N (fma.f64 N (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (log.f64 N)))
(/ 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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N)))) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (neg.f64 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)) (neg.f64 N)) #s(literal -1 binary64)) (neg.f64 N))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #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))
(-.f64 (fma.f64 N (*.f64 N #s(literal -1/2 binary64)) N) (log.f64 N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 N (fma.f64 N (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (log.f64 N)))
(/ 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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N)))) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (neg.f64 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)) (neg.f64 N)) #s(literal -1 binary64)) (neg.f64 N))
(log N)
(log.f64 N)
(+ (log N) (* -1 N))
(-.f64 (log.f64 N) N)
(+ (log N) (* N (- (* 1/2 N) 1)))
(fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 N))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(fma.f64 N (fma.f64 N (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 N))
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N)
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (neg.f64 N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) (neg.f64 N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (neg.f64 N))
N
(* N (+ 1 (* -1 N)))
(fma.f64 N (neg.f64 N) N)
(* N (+ 1 (* N (- N 1))))
(fma.f64 N (fma.f64 N N (neg.f64 N)) N)
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))
(fma.f64 N (*.f64 N (fma.f64 N (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) N)
1
#s(literal 1 binary64)
(- 1 (/ 1 N))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N))
(- (+ 1 (/ 1 (pow N 2))) (/ 1 N))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N))
(- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))) (+.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) (.f64 N (*.f64 N N)))))
1
#s(literal 1 binary64)
(- 1 (/ 1 N))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N))
(+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) N))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) N)) N))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
N
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
N
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 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 (fma.f64 N (*.f64 N #s(literal -1/2 binary64)) N) (log.f64 N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 N (fma.f64 N (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (log.f64 N)))
(/ 1 N)
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(/.f64 #s(literal 1/4 binary64) (*.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N))
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (neg.f64 N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (neg.f64 N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (neg.f64 N))
(/ 1/4 N)
(/.f64 #s(literal 1/4 binary64) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) N)
-1/3
#s(literal -1/3 binary64)
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow (log (/ 1 N)) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow (log (/ 1 N)) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow (log (/ 1 N)) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow (log (/ 1 N)) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(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))
(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))
(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))
(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))
(log N)
(log.f64 N)
(+ (log N) (* -1 N))
(-.f64 (log.f64 N) N)
(+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1)))
(fma.f64 N (fma.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 N))) #s(literal -1 binary64)) (log.f64 N))
(+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1)))
(fma.f64 N (fma.f64 N (+.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 N) (+.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (log.f64 N))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 N)))) #s(literal -1 binary64)) (log.f64 N))
(* -1/2 (log (/ 1 N)))
(neg.f64 (*.f64 (log.f64 N) #s(literal -1/2 binary64)))
(- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (log.f64 N)) (/.f64 #s(literal -1/4 binary64) N))
(- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 (log.f64 N)) (/.f64 #s(literal 1/8 binary64) (.f64 N N))) (+.f64 (/.f64 #s(literal 1/4 binary64) N) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 N N) (neg.f64 (log.f64 N))))))
(- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 (log.f64 N)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 N N)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 N (.f64 N N)) (neg.f64 (log.f64 N)))))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (log.f64 N))) (.f64 (.f64 N (.f64 N N)) (neg.f64 (log.f64 N)))) (/.f64 #s(literal 1/4 binary64) N)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N N) (neg.f64 (log.f64 N)))) (/.f64 #s(literal 1/12 binary64) (.f64 N (*.f64 N N))))))
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))
(+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 N (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))))
(+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 N (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 N (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))))) N))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))) (.f64 N (log.f64 (/.f64 #s(literal -1 binary64) N)))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 N (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (.f64 N (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))))) (neg.f64 N)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) N))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (* -1 N)))
(.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(.f64 (.f64 N N) (fma.f64 N (fma.f64 N #s(literal 11/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(.f64 (.f64 N N) (fma.f64 N (fma.f64 N (fma.f64 N #s(literal -5/6 binary64) #s(literal 11/12 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(pow (log (/ 1 N)) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))
(fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 N)) N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))
(+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 N)) N) (/.f64 #s(literal 1 binary64) (.f64 N N))) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (.f64 N N))))
(- (+ (* -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)))
(+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 N)) N) (+.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 N)) (.f64 N (.f64 N N))) (/.f64 #s(literal 1 binary64) (.f64 N N))) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (.f64 N N))))) (/.f64 #s(literal -1 binary64) (.f64 N (.f64 N 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 #s(literal 2 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) N) (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))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (-.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 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N)) N))
(+ (* -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 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.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 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 1 binary64)) N)) N)) N))

rewrite364.0ms (3.8%)

Memory

19.8MiB live, 578.7MiB allocated

Rules

4 976×	`lower-/.f32`
4 954×	`lower-/.f64`
3 308×	`lower-fma.f32`
3 304×	`lower-fma.f64`
3 196×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	269
0	73	197
1	320	185
2	2604	185
0	8849	185

Stop Event

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

Counts

23 → 1 233

Calls

Call 1

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

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

eval276.0ms (2.9%)

Memory: 12.0MiB live, 429.2MiB allocated
Compiler: Compiled 78 393 to 5 243 computations (93.3% saved)

prune354.0ms (3.7%)

Memory

0.9MiB live, 329.7MiB allocated

Pruning

43 alts after pruning (41 fresh and 2 done)

	Pruned	Kept	Total
New	1 869	32	1 901
Fresh	6	9	15
Picked	3	2	5
Done	0	0	0
Total	1 878	43	1 921

Accuracy

99.6%

Counts

1 921 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.1%	(fma.f64 (/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (/.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))
	25.3%	(fma.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	26.9%	(fma.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -2 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))
	26.3%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	26.9%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.1%	(fma.f64 (log1p.f64 N) (/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))))) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	27.1%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)) (*.f64 (log.f64 (fma.f64 N N N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
	26.9%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)) (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
	24.9%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	25.0%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	25.0%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
	24.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))
	24.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64))))
	24.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	26.4%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	25.0%	(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))))
	24.9%	(/.f64 (.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))) (.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64))))
▶	25.6%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
	95.0%	(/.f64 #s(approx (- (* 1 (/ (log (+ (* N N) N)) (pow (log N) 2))) (* (/ (log (+ (* N N) N)) (pow (log (+ 1 N)) 2)) 1)) (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (.f64 (.f64 N N) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)))) (fma.f64 #s(literal -3 binary64) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2/3 binary64) #s(literal -1 binary64)) (.f64 (.f64 N (.f64 N N)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 N)) #s(literal 11/12 binary64)) (.f64 (.f64 N (.f64 N N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (.f64 N (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2/3 binary64) #s(literal -1 binary64)) (.f64 (.f64 N N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (fma.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 6 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (log.f64 N)) (/.f64 (fma.f64 (neg.f64 (.f64 (log.f64 N) #s(literal -2/3 binary64))) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))))) (.f64 (.f64 N (.f64 N N)) (neg.f64 (log.f64 N)))) (fma.f64 (+.f64 #s(literal -1 binary64) (log.f64 N)) (/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 6 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (.f64 (.f64 N (.f64 N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 6 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (.f64 (.f64 N N) (neg.f64 (log.f64 N)))) (/.f64 #s(literal 4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 6 binary64) (.f64 N (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))))))))))) N)) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	25.1%	(-.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
▶	24.9%	(.f64 (/.f64 (.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))) (*.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
	24.9%	(.f64 (.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -2 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) (.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))))
	27.8%	(.f64 (log.f64 (fma.f64 N N N)) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))))
✓	28.3%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	27.8%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	27.8%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
	96.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))) (.f64 N N))))) N))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
▶	90.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	94.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N))
	94.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (/ 1/4 N) -1/3) N) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)))) N)) N))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))) N))
	83.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))))) N))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
▶	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
✓	83.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	96.2%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)) N)))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) N)))
	96.2%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (pow.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))) (*.f64 N N)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
	96.2%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
	91.7%	#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) #s(literal -1 binary64))))
	95.8%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))

Compiler

Compiled 2 719 to 1 239 computations (54.4% saved)

simplify288.0ms (3%)

Memory

-4.6MiB live, 193.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (fma.f64 N N N))
cost-diff	0	(*.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))))
cost-diff	0	(.f64 (/.f64 (.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))) (*.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
cost-diff	26048	(/.f64 (.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))) (.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))
cost-diff	0	(pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))
cost-diff	0	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
cost-diff	64	(-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))
cost-diff	256	(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)) N)))
cost-diff	384	(/.f64 (/.f64 #s(literal -1/2 binary64) N) N)
cost-diff	640	(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)) N))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) N)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))
cost-diff	0	(/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))

Rules

4 774×	`lower-fma.f32`
4 772×	`lower-fma.f64`
3 594×	`lower-*.f32`
3 586×	`lower-*.f64`
1 524×	`lower-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	454
0	97	443
1	149	437
2	300	411
3	848	407
4	2339	407
5	6855	407
0	8132	407

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
#s(literal 1 binary64)
(/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
N
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
(-.f64 #s(literal -1/2 binary64) (/.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)
#s(literal -1/3 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
#s(literal 1 binary64)
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)) N)))
(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)) N))
(/.f64 (/.f64 #s(literal -1/2 binary64) N) N)
(/.f64 #s(literal -1/2 binary64) N)
#s(literal -1/2 binary64)
N
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)) N)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N 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)
#s(literal -1/3 binary64)
(*.f64 N N)
#s(literal 1 binary64)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))
#s(literal 0 binary64)
(pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))
(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
(/.f64 N (+.f64 N #s(literal 1 binary64)))
N
(+.f64 N #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(/.f64 (+.f64 N #s(literal 1 binary64)) N)
(.f64 (/.f64 (.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))) (*.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(/.f64 (.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))) (.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))
(*.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))))
(log.f64 (fma.f64 N N N))
(fma.f64 N N N)
N
(-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))
(pow.f64 (log.f64 N) #s(literal -2 binary64))
(log.f64 N)
#s(literal -2 binary64)
(pow.f64 (log1p.f64 N) #s(literal -2 binary64))
(log1p.f64 N)
(*.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))
(pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))

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

localize342.0ms (3.6%)

Memory

1.9MiB live, 195.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5355263183790943	(pow.f64 (log.f64 N) #s(literal -2 binary64))
accuracy	0.5622062988422102	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.5794525390737681	(pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64))
accuracy	47.53164871523693	(-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))
accuracy	0.542011279305326	(pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))
accuracy	0.5420112793053261	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
accuracy	45.81975542716329	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
accuracy	46.26473264711155	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
accuracy	0.1328125	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
accuracy	0.26953125	(/.f64 (/.f64 #s(literal -1/2 binary64) N) N)
accuracy	0.4375	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))
accuracy	2.330029710854541	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)) N)))
accuracy	0	(/.f64 #s(literal 1/2 binary64) N)
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
accuracy	0.078125	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
accuracy	5.929729346268419	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
accuracy	0.078125	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
accuracy	0.1328125	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
accuracy	0.33984375	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
accuracy	2.330029710854541	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))

Samples

169.0ms	181×	1	valid
49.0ms	75×	0	valid

Compiler

Compiled 435 to 52 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-div: 53.0ms (29.3% of total)

ival-log: 30.0ms (16.6% of total)

ival-pow2: 27.0ms (14.9% of total)

adjust: 16.0ms (8.8% of total)

ival-sub: 13.0ms (7.2% of total)

ival-log1p: 9.0ms (5% of total)

ival-mult: 9.0ms (5% of total)

ival-pow: 8.0ms (4.4% of total)

ival-add: 7.0ms (3.9% of total)

const: 7.0ms (3.9% of total)

ival-neg: 2.0ms (1.1% of total)

exact: 1.0ms (0.6% of total)

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

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

series40.0ms (0.4%)

Memory

1.9MiB live, 39.1MiB allocated

Counts

29 → 348

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))>
#<alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))>
#<alt (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))>
#<alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))>
#<alt (/.f64 #s(literal 1/2 binary64) N)>
#<alt (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)) N))>
#<alt (/.f64 (/.f64 #s(literal -1/2 binary64) N) N)>
#<alt #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)) N)))>
#<alt (/.f64 #s(literal -1/2 binary64) N)>
#<alt (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))))>
#<alt (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))>
#<alt (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))>
#<alt (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))>
#<alt (/.f64 (.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))) (.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))>
#<alt (.f64 (/.f64 (.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))) (*.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))>
#<alt (*.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))))>
#<alt (log.f64 (fma.f64 N N N))>
#<alt (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)>
#<alt (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))>
#<alt (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))>
#<alt (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))>
#<alt (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))>
#<alt (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))>
#<alt (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64))>
#<alt (pow.f64 (log1p.f64 N) #s(literal 2 binary64))>
#<alt (pow.f64 (log.f64 N) #s(literal -2 binary64))>

Outputs
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (* -4 (pow N 4))>
#<alt (* (pow N 4) (- (* -16/3 N) 4))>
#<alt (* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))>
#<alt (* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))>
#<alt (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))>
#<alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (/ -1/2 N)>
#<alt (/ (- N 1/2) N)>
#<alt (/ (- N 1/2) N)>
#<alt (/ (- N 1/2) N)>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ -1/2 (pow N 2))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (pow (log N) 2)>
#<alt (+ (* -2 (* N (log N))) (pow (log N) 2))>
#<alt (+ (* N (+ (* -2 (log N)) (* N (+ 1 (log N))))) (pow (log N) 2))>
#<alt (+ (* N (+ (* -2 (log N)) (* N (+ 1 (+ (log N) (* N (- (* -2/3 (log N)) 1))))))) (pow (log N) 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ (- 1 (/ 1 N)) (pow N 2))>
#<alt (/ (- (+ 1 (/ 11/12 (pow N 2))) (/ 1 N)) (pow N 2))>
#<alt (/ (- (+ 1 (/ 11/12 (pow N 2))) (+ (/ 1 N) (* 5/6 (/ 1 (pow N 3))))) (pow N 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ (- 1 (/ 1 N)) (pow N 2))>
#<alt (/ (+ 1 (* -1 (/ (- 1 (* 11/12 (/ 1 N))) N))) (pow N 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 11/12 (* 5/6 (/ 1 N))) N))) N))) (pow N 2))>
#<alt (* -1 (pow (log N) 2))>
#<alt (- (* 2 (* N (log N))) (pow (log N) 2))>
#<alt (- (* N (- (* -1 (* N (+ 1 (log N)))) (* -2 (log N)))) (pow (log N) 2))>
#<alt (- (* N (- (* N (- (* N (- 1 (* -2/3 (log N)))) (+ 1 (log N)))) (* -2 (log N)))) (pow (log N) 2))>
#<alt (/ -1 (pow N 2))>
#<alt (/ (- (/ 1 N) 1) (pow N 2))>
#<alt (/ (- (/ 1 N) (+ 1 (/ 11/12 (pow N 2)))) (pow N 2))>
#<alt (/ (- (+ (/ 1 N) (* 5/6 (/ 1 (pow N 3)))) (+ 1 (/ 11/12 (pow N 2)))) (pow N 2))>
#<alt (/ -1 (pow N 2))>
#<alt (/ (- (/ 1 N) 1) (pow N 2))>
#<alt (/ (- (* -1 (/ (- (* 11/12 (/ 1 N)) 1) N)) 1) (pow N 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (* 5/6 (/ 1 N)) 11/12) N)) 1) N)) 1) (pow N 2))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (+ 1/2 (+ (* -1 (/ (+ 1 (log N)) (log N))) (/ 1 (log N))))))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (+ 1/2 (+ (* -1 (/ (+ 1 (log N)) (log N))) (+ (* N (- (* -1 (/ (- (* -2/3 (log N)) 1) (log N))) (+ 1/3 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1 (log N)) (log N))) (/ 1 (log N)))) (log N))) (* 1/2 (/ 1 (log N))))))) (/ 1 (log N)))))))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (pow (log N) 2)>
#<alt (+ (* -2 (* N (log N))) (pow (log N) 2))>
#<alt (+ (* N (+ (* -2 (log N)) (* N (+ 1 (log N))))) (pow (log N) 2))>
#<alt (+ (* N (+ (* -2 (log N)) (* N (+ 1 (+ (log N) (* N (- (* -2/3 (log N)) 1))))))) (pow (log N) 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ (- 1 (/ 1 N)) (pow N 2))>
#<alt (/ (- (+ 1 (/ 11/12 (pow N 2))) (/ 1 N)) (pow N 2))>
#<alt (/ (- (+ 1 (/ 11/12 (pow N 2))) (+ (/ 1 N) (* 5/6 (/ 1 (pow N 3))))) (pow N 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ (- 1 (/ 1 N)) (pow N 2))>
#<alt (/ (+ 1 (* -1 (/ (- 1 (* 11/12 (/ 1 N))) N))) (pow N 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 11/12 (* 5/6 (/ 1 N))) N))) N))) (pow N 2))>
#<alt (* -1 (/ (log N) (pow N 2)))>
#<alt (/ (+ (* -1 (log N)) (* N (+ 1 (* -1 (log N))))) (pow N 2))>
#<alt (/ (+ (* -1 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (+ 1/2 (* (log N) (- (/ 1 (pow (log N) 2)) 1/12))) (/ 1 (log N)))))))) (pow N 2))>
#<alt (/ (+ (* -1 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (+ 1/2 (+ (* N (- 5/12 (+ (* -1/2 (/ (+ 1 (* -1 (log N))) (log N))) (* 1/2 (/ 1 (log N)))))) (* (log N) (- (/ 1 (pow (log N) 2)) 1/12)))) (/ 1 (log N)))))))) (pow N 2))>
#<alt (/ 1 (* N (pow (log (/ 1 N)) 2)))>
#<alt (/ (+ (* -1/2 (/ (* (log (/ 1 N)) (- (/ 1 (pow (log (/ 1 N)) 3)) (* 3 (/ 1 (pow (log (/ 1 N)) 4))))) N)) (+ (/ 1/2 (* N (pow (log (/ 1 N)) 3))) (/ 1 (pow (log (/ 1 N)) 2)))) N)>
#<alt (/ (- (+ (* -1/2 (/ (* (log (/ 1 N)) (- (+ (* -2 (/ (- (* 3 (/ 1 (pow (log (/ 1 N)) 4))) (/ 1 (pow (log (/ 1 N)) 3))) (log (/ 1 N)))) (* 2 (/ (+ 1 (log (/ 1 N))) (pow (log (/ 1 N)) 5)))) (+ (* 2/3 (/ 1 (pow (log (/ 1 N)) 3))) (/ 1 (pow (log (/ 1 N)) 4))))) (pow N 2))) (+ (* -1/2 (/ (* (log (/ 1 N)) (- (/ 1 (pow (log (/ 1 N)) 3)) (* 3 (/ 1 (pow (log (/ 1 N)) 4))))) N)) (+ (/ 1/2 (* N (pow (log (/ 1 N)) 3))) (/ 1 (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (+ (* -1/2 (* (log (/ 1 N)) (- (/ 1 (pow (log (/ 1 N)) 3)) (* 3 (/ 1 (pow (log (/ 1 N)) 4)))))) (* 1/2 (/ 1 (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))))) N)>
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#<alt (/ (+ (* -1 (log N)) (* N (- (+ (* -1 (log N)) (* N (- (* (log N) (- (/ 1 (pow (log N) 2)) 1/12)) 1/2))) 1))) (pow N 2))>
#<alt (/ (+ (* -1 (log N)) (* N (- (+ (* -1 (log N)) (* N (- (+ (* N (+ 1/12 (/ 1 (pow (log N) 2)))) (* (log N) (- (/ 1 (pow (log N) 2)) 1/12))) 1/2))) 1))) (pow N 2))>
#<alt (/ 4 (* N (pow (log (/ 1 N)) 2)))>
#<alt (/ (- (+ (* -2 (/ (* (log (/ 1 N)) (- (/ 1 (pow (log (/ 1 N)) 3)) (* 3 (/ 1 (pow (log (/ 1 N)) 4))))) N)) (* 4 (/ 1 (pow (log (/ 1 N)) 2)))) (/ 2 (* N (pow (log (/ 1 N)) 3)))) N)>
#<alt (/ (- (+ (* -2 (/ (* (log (/ 1 N)) (- (+ (* -2 (/ (- (* 3 (/ 1 (pow (log (/ 1 N)) 4))) (/ 1 (pow (log (/ 1 N)) 3))) (log (/ 1 N)))) (* 2 (/ (+ 1 (log (/ 1 N))) (pow (log (/ 1 N)) 5)))) (+ (* 2/3 (/ 1 (pow (log (/ 1 N)) 3))) (/ 1 (pow (log (/ 1 N)) 4))))) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (- (/ 1 (pow (log (/ 1 N)) 3)) (* 3 (/ 1 (pow (log (/ 1 N)) 4))))) N)) (+ (* 2 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))) (* 4 (/ 1 (pow (log (/ 1 N)) 2)))))) (+ (* 3 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 4)))) (/ 2 (* N (pow (log (/ 1 N)) 3))))) N)>
#<alt (/ (- (+ (* -2 (/ (* (log (/ 1 N)) (+ (* -2 (/ (- (+ (* 2/3 (/ 1 (pow (log (/ 1 N)) 3))) (/ 1 (pow (log (/ 1 N)) 4))) (+ (* -2 (/ (- (* 3 (/ 1 (pow (log (/ 1 N)) 4))) (/ 1 (pow (log (/ 1 N)) 3))) (log (/ 1 N)))) (* 2 (/ (+ 1 (log (/ 1 N))) (pow (log (/ 1 N)) 5))))) (log (/ 1 N)))) (+ (* 1/2 (/ 1 (pow (log (/ 1 N)) 3))) (+ (* 11/12 (/ 1 (pow (log (/ 1 N)) 4))) (+ (* 2 (/ (- (* -2/3 (log (/ 1 N))) 1) (pow (log (/ 1 N)) 5))) (/ (* (+ 1 (log (/ 1 N))) (- (* 3 (/ 1 (pow (log (/ 1 N)) 4))) (/ 1 (pow (log (/ 1 N)) 3)))) (pow (log (/ 1 N)) 2))))))) (pow N 3))) (+ (* -2 (/ (* (log (/ 1 N)) (- (+ (* -2 (/ (- (* 3 (/ 1 (pow (log (/ 1 N)) 4))) (/ 1 (pow (log (/ 1 N)) 3))) (log (/ 1 N)))) (* 2 (/ (+ 1 (log (/ 1 N))) (pow (log (/ 1 N)) 5)))) (+ (* 2/3 (/ 1 (pow (log (/ 1 N)) 3))) (/ 1 (pow (log (/ 1 N)) 4))))) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (- (/ 1 (pow (log (/ 1 N)) 3)) (* 3 (/ 1 (pow (log (/ 1 N)) 4))))) N)) (+ (* -2 (/ (- (* 3 (/ 1 (pow (log (/ 1 N)) 4))) (/ 1 (pow (log (/ 1 N)) 3))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (- (/ 1 (pow (log (/ 1 N)) 3)) (* 3 (/ 1 (pow (log (/ 1 N)) 4)))) (pow N 3))) (+ (* 2 (/ (+ 1 (log (/ 1 N))) (* (pow N 3) (pow (log (/ 1 N)) 5)))) (+ (* 2 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))) (* 4 (/ 1 (pow (log (/ 1 N)) 2)))))))))) (+ (* 3 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 4)))) (+ (/ 1 (* (pow N 3) (pow (log (/ 1 N)) 4))) (+ (/ 4/3 (* (pow N 3) (pow (log (/ 1 N)) 3))) (/ 2 (* N (pow (log (/ 1 N)) 3))))))) N)>
#<alt (* -4 (/ (log (/ -1 N)) (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))>
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#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (log (/ -1 N)) (- (+ (* -2 (/ (+ (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* 2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 5))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))) (* 2/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))))) (+ (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))))) N)) (+ (* 2 (* (log (/ -1 N)) (+ (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))) N)) (* 4 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) N))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (log (/ -1 N)) (- (+ (* -2 (/ (+ (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* 2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 5))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))) (* 2/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))))) (+ (* -1 (/ (+ (* -2 (* (log (/ -1 N)) (- (+ (* -2 (/ (- (* 2/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (+ (* -2 (/ (+ (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* 2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 5))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* 11/12 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (+ (* 2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 5))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))))) (+ (* -1 (- (+ (* -2 (/ (+ (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* 2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 5))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))) (* 2/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))) (+ (* 1/2 (+ (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))))) (* 2/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))))) N)) (+ (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))))) N)) (+ (* 2 (* (log (/ -1 N)) (+ (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))) N)) (* 4 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) N))>
#<alt (log N)>
#<alt (+ N (log N))>
#<alt (+ (log N) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (* -2 (log (/ 1 N)))>
#<alt (+ (* -2 (log (/ 1 N))) (/ 1 N))>
#<alt (- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))>
#<alt (- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))>
#<alt (* -2 (log (/ -1 N)))>
#<alt (+ (* -2 (log (/ -1 N))) (/ 1 N))>
#<alt (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))>
#<alt (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))>
#<alt (/ 1/4 (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ -1/3 N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ -1/3 N)>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (/ 1/4 N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (/ 1/4 (pow N 3))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 3))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 3))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 3))>
#<alt (/ -1/3 (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (/ -1/3 (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* 1/2 N) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))>
#<alt (/ -1 N)>
#<alt (/ (- (* 1/2 (/ 1 N)) 1) N)>
#<alt (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ -1 N)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))>
#<alt (/ -1 (pow N 2))>
#<alt (/ (- (* -1 N) 1) (pow N 2))>
#<alt (/ (- (* N (- (* N (- (/ 1 (pow (log N) 2)) 1/12)) 1)) 1) (pow N 2))>
#<alt (/ (- (* N (- (* N (- (+ (* 1/240 (pow N 2)) (/ 1 (pow (log N) 2))) 1/12)) 1)) 1) (pow N 2))>
#<alt (/ -2 (* N (pow (log (/ 1 N)) 3)))>
#<alt (/ (- (/ 1 (* N (pow (log (/ 1 N)) 3))) (+ (* 2 (/ 1 (pow (log (/ 1 N)) 3))) (/ 3 (* N (pow (log (/ 1 N)) 4))))) N)>
#<alt (/ (- (+ (* -2 (/ (- (* 3 (/ 1 (pow (log (/ 1 N)) 4))) (/ 1 (pow (log (/ 1 N)) 3))) (* (pow N 2) (log (/ 1 N))))) (+ (* 2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (pow (log (/ 1 N)) 5)))) (/ 1 (* N (pow (log (/ 1 N)) 3))))) (+ (* 2 (/ 1 (pow (log (/ 1 N)) 3))) (+ (* 2/3 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))) (+ (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 4))) (/ 3 (* N (pow (log (/ 1 N)) 4))))))) N)>
#<alt (/ (- (+ (* -2 (/ (- (* 3 (/ 1 (pow (log (/ 1 N)) 4))) (/ 1 (pow (log (/ 1 N)) 3))) (* (pow N 2) (log (/ 1 N))))) (+ (* -2 (/ (- (+ (* 2/3 (/ 1 (pow (log (/ 1 N)) 3))) (/ 1 (pow (log (/ 1 N)) 4))) (+ (* -2 (/ (- (* 3 (/ 1 (pow (log (/ 1 N)) 4))) (/ 1 (pow (log (/ 1 N)) 3))) (log (/ 1 N)))) (* 2 (/ (+ 1 (log (/ 1 N))) (pow (log (/ 1 N)) 5))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (pow (log (/ 1 N)) 5)))) (+ (* 2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 3) (pow (log (/ 1 N)) 5)))) (+ (/ 1/2 (* (pow N 3) (pow (log (/ 1 N)) 3))) (+ (/ 11/12 (* (pow N 3) (pow (log (/ 1 N)) 4))) (+ (/ 1 (* N (pow (log (/ 1 N)) 3))) (/ (* (+ 1 (log (/ 1 N))) (- (* 3 (/ 1 (pow (log (/ 1 N)) 4))) (/ 1 (pow (log (/ 1 N)) 3)))) (* (pow N 3) (pow (log (/ 1 N)) 2)))))))))) (+ (* 2 (/ 1 (pow (log (/ 1 N)) 3))) (+ (* 2/3 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))) (+ (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 4))) (/ 3 (* N (pow (log (/ 1 N)) 4))))))) N)>
#<alt (/ 2 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))>
#<alt (* -1 (/ (- (+ (/ 1 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (/ 3 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (+ (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* 2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 5))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))) (* 2/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) N)) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) N)) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (+ (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (- (+ (* -2 (/ (- (* 2/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (+ (* -2 (/ (+ (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* 2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 5))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* 11/12 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (+ (* 2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 5))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) N)) (+ (* 2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 5))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))))) (* 2/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) N)) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) N)) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) N))>
#<alt (pow (log N) 2)>
#<alt (+ (* 2 (* N (log N))) (pow (log N) 2))>
#<alt (+ (* N (+ (* 2 (log N)) (* N (+ 1 (* -1 (log N)))))) (pow (log N) 2))>
#<alt (+ (* N (+ (* 2 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 2/3 (log N)) 1))))))) (pow (log N) 2))>
#<alt (* 4 (pow (log (/ 1 N)) 2))>
#<alt (+ (* -4 (/ (log (/ 1 N)) N)) (* 4 (pow (log (/ 1 N)) 2)))>
#<alt (+ (* -4 (/ (log (/ 1 N)) N)) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))>
#<alt (- (+ (* -4 (/ (log (/ 1 N)) N)) (+ (* -4/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))) (/ 1 (pow N 3)))>
#<alt (* 4 (pow (log (/ -1 N)) 2))>
#<alt (+ (* -4 (/ (log (/ -1 N)) N)) (* 4 (pow (log (/ -1 N)) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 2 (log (/ -1 N)))) N)) (* 4 (log (/ -1 N)))) N)) (* 4 (pow (log (/ -1 N)) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* 4/3 (log (/ -1 N)))) N)) (* 2 (log (/ -1 N))))) N)) (* 4 (log (/ -1 N)))) N)) (* 4 (pow (log (/ -1 N)) 2)))>
#<alt (pow N 2)>
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#<alt (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))>
#<alt (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))>
#<alt (- (+ (* -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)))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (+ (* -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))>
#<alt (+ (* -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))>
#<alt (/ 1 (pow (log N) 2))>
#<alt (/ 1 (pow (log N) 2))>
#<alt (/ 1 (pow (log N) 2))>
#<alt (/ 1 (pow (log N) 2))>
#<alt (/ 1 (pow (log (/ 1 N)) 2))>
#<alt (/ 1 (pow (log (/ 1 N)) 2))>
#<alt (/ 1 (pow (log (/ 1 N)) 2))>
#<alt (/ 1 (pow (log (/ 1 N)) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>

Calls

87 calls:

Time	Variable		Point	Expression
4.0ms	N	@	-inf	(/ (* (log (+ (* N N) N)) (- (pow (log N) -2) (pow (log (+ 1 N)) -2))) (* (pow (log (+ (* N N) N)) 2) (pow (log N) -2)))
3.0ms	N	@	-inf	(* (/ (* (log (+ (* N N) N)) (- (pow (log N) -2) (pow (log (+ 1 N)) -2))) (* (pow (log (+ (* N N) N)) 2) (pow (log N) -2))) (pow (log (+ 1 N)) 2))
3.0ms	N	@	inf	(/ (* (log (+ (* N N) N)) (- (pow (log N) -2) (pow (log (+ 1 N)) -2))) (* (pow (log (+ (* N N) N)) 2) (pow (log N) -2)))
3.0ms	N	@	inf	(* (/ (* (log (+ (* N N) N)) (- (pow (log N) -2) (pow (log (+ 1 N)) -2))) (* (pow (log (+ (* N N) N)) 2) (pow (log N) -2))) (pow (log (+ 1 N)) 2))
2.0ms	N	@	inf	(* (log (+ (* N N) N)) (- (pow (log N) -2) (pow (log (+ 1 N)) -2)))

simplify534.0ms (5.6%)

Memory

22.8MiB live, 462.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 154×	`lower-fma.f64`
8 154×	`lower-fma.f32`
6 360×	`lower-+.f64`
6 360×	`lower-+.f32`
4 742×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	959	9765
1	2982	9154
0	8266	8854

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 346

Calls

Call 1

Inputs
(/ -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 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 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 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
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(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(/ -1 N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ -1 N)
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(/ -1 (pow N 2))
(/ (- (* -1 N) 1) (pow N 2))
(/ (- (* N (- (* N (- (/ 1 (pow (log N) 2)) 1/12)) 1)) 1) (pow N 2))
(/ (- (* N (- (* N (- (+ (* 1/240 (pow N 2)) (/ 1 (pow (log N) 2))) 1/12)) 1)) 1) (pow N 2))
(/ -2 (* N (pow (log (/ 1 N)) 3)))
(/ (- (/ 1 (* N (pow (log (/ 1 N)) 3))) (+ (* 2 (/ 1 (pow (log (/ 1 N)) 3))) (/ 3 (* N (pow (log (/ 1 N)) 4))))) N)
(/ (- (+ (* -2 (/ (- (* 3 (/ 1 (pow (log (/ 1 N)) 4))) (/ 1 (pow (log (/ 1 N)) 3))) (* (pow N 2) (log (/ 1 N))))) (+ (* 2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (pow (log (/ 1 N)) 5)))) (/ 1 (* N (pow (log (/ 1 N)) 3))))) (+ (* 2 (/ 1 (pow (log (/ 1 N)) 3))) (+ (* 2/3 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))) (+ (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 4))) (/ 3 (* N (pow (log (/ 1 N)) 4))))))) N)
(/ (- (+ (* -2 (/ (- (* 3 (/ 1 (pow (log (/ 1 N)) 4))) (/ 1 (pow (log (/ 1 N)) 3))) (* (pow N 2) (log (/ 1 N))))) (+ (* -2 (/ (- (+ (* 2/3 (/ 1 (pow (log (/ 1 N)) 3))) (/ 1 (pow (log (/ 1 N)) 4))) (+ (* -2 (/ (- (* 3 (/ 1 (pow (log (/ 1 N)) 4))) (/ 1 (pow (log (/ 1 N)) 3))) (log (/ 1 N)))) (* 2 (/ (+ 1 (log (/ 1 N))) (pow (log (/ 1 N)) 5))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (pow (log (/ 1 N)) 5)))) (+ (* 2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 3) (pow (log (/ 1 N)) 5)))) (+ (/ 1/2 (* (pow N 3) (pow (log (/ 1 N)) 3))) (+ (/ 11/12 (* (pow N 3) (pow (log (/ 1 N)) 4))) (+ (/ 1 (* N (pow (log (/ 1 N)) 3))) (/ (* (+ 1 (log (/ 1 N))) (- (* 3 (/ 1 (pow (log (/ 1 N)) 4))) (/ 1 (pow (log (/ 1 N)) 3)))) (* (pow N 3) (pow (log (/ 1 N)) 2)))))))))) (+ (* 2 (/ 1 (pow (log (/ 1 N)) 3))) (+ (* 2/3 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))) (+ (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 4))) (/ 3 (* N (pow (log (/ 1 N)) 4))))))) N)
(/ 2 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))
(* -1 (/ (- (+ (/ 1 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (/ 3 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (+ (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* 2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 5))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))) (* 2/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) N)) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) N)) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (+ (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (- (+ (* -2 (/ (- (* 2/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (+ (* -2 (/ (+ (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* 2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 5))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* 11/12 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (+ (* 2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 5))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) N)) (+ (* 2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 5))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))))) (* 2/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) N)) (+ (* 3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) N)) (* 2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) N))
(pow (log N) 2)
(+ (* 2 (* N (log N))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (* -1 (log N)))))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 2/3 (log N)) 1))))))) (pow (log N) 2))
(* 4 (pow (log (/ 1 N)) 2))
(+ (* -4 (/ (log (/ 1 N)) N)) (* 4 (pow (log (/ 1 N)) 2)))
(+ (* -4 (/ (log (/ 1 N)) N)) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))
(- (+ (* -4 (/ (log (/ 1 N)) N)) (+ (* -4/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))) (/ 1 (pow N 3)))
(* 4 (pow (log (/ -1 N)) 2))
(+ (* -4 (/ (log (/ -1 N)) N)) (* 4 (pow (log (/ -1 N)) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 2 (log (/ -1 N)))) N)) (* 4 (log (/ -1 N)))) N)) (* 4 (pow (log (/ -1 N)) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* 4/3 (log (/ -1 N)))) N)) (* 2 (log (/ -1 N))))) N)) (* 4 (log (/ -1 N)))) N)) (* 4 (pow (log (/ -1 N)) 2)))
(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))))
(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)))
(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))
(/ 1 (pow (log N) 2))
(/ 1 (pow (log N) 2))
(/ 1 (pow (log N) 2))
(/ 1 (pow (log N) 2))
(/ 1 (pow (log (/ 1 N)) 2))
(/ 1 (pow (log (/ 1 N)) 2))
(/ 1 (pow (log (/ 1 N)) 2))
(/ 1 (pow (log (/ 1 N)) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))

Outputs
(/ -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 N #s(literal 1/3 binary64) #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 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #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 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 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 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (-.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (neg.f64 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)) (neg.f64 N)) #s(literal -1 binary64)) (neg.f64 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 (fma.f64 N (*.f64 N #s(literal -1/2 binary64)) N) (log.f64 N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(-.f64 (fma.f64 (*.f64 N N) (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/2 binary64)) N) (log.f64 N))
(/ 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 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (-.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (neg.f64 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)) (neg.f64 N)) #s(literal -1 binary64)) (neg.f64 N))
(* -4 (pow N 4))
(*.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -4 binary64))
(* (pow N 4) (- (* -16/3 N) 4))
(*.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N #s(literal -16/3 binary64) #s(literal -4 binary64)))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(*.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N (fma.f64 N #s(literal 8/9 binary64) #s(literal -16/3 binary64)) #s(literal -4 binary64)))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(*.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N (fma.f64 N (fma.f64 N #s(literal -112/27 binary64) #s(literal 8/9 binary64)) #s(literal -16/3 binary64)) #s(literal -4 binary64)))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
(.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal 1/12 binary64) (.f64 N N)))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (neg.f64 N)) (neg.f64 N)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 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 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (-.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 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 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) 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 (fma.f64 N (*.f64 N #s(literal -1/2 binary64)) N) (log.f64 N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(-.f64 (fma.f64 (*.f64 N N) (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/2 binary64)) N) (log.f64 N))
(/ 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 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (-.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (neg.f64 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)) (neg.f64 N)) #s(literal -1 binary64)) (neg.f64 N))
(/ -1/2 (pow N 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 N N))
(/ (- N 1/2) (pow N 2))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ (- N 1/2) (pow N 2))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ (- N 1/2) (pow N 2))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/ 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 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ (- N 1/2) N)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(/ (- N 1/2) N)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(/ (- N 1/2) N)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 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 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(- 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 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 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
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(fma.f64 (log.f64 N) (fma.f64 #s(literal 2 binary64) N (log.f64 N)) (.f64 N (fma.f64 N (-.f64 (.f64 N (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64))) (log.f64 N)) N)))
(* 4 (pow (log (/ 1 N)) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(+ (* -4 (/ (log (/ 1 N)) N)) (* 4 (pow (log (/ 1 N)) 2)))
(fma.f64 #s(literal 4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 N)) N))
(+ (* -4 (/ (log (/ 1 N)) N)) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (log.f64 N)) N) (fma.f64 #s(literal -2 binary64) (/.f64 (log.f64 N) (.f64 N N)) (fma.f64 #s(literal 4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))))
(- (+ (* -4 (/ (log (/ 1 N)) N)) (+ (* -4/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))) (/ 1 (pow N 3)))
(+.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (log.f64 N) (.f64 N N)) (fma.f64 #s(literal 4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (/.f64 (.f64 #s(literal 4/3 binary64) (log.f64 N)) (.f64 N (.f64 N N)))) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (log.f64 N)) N) (/.f64 #s(literal -1 binary64) (.f64 N (.f64 N N)))))
(* 4 (pow (log (/ -1 N)) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))
(+ (* -4 (/ (log (/ -1 N)) N)) (* 4 (pow (log (/ -1 N)) 2)))
(fma.f64 #s(literal 4 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) N))
(+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 2 (log (/ -1 N)))) N)) (* 4 (log (/ -1 N)))) N)) (* 4 (pow (log (/ -1 N)) 2)))
(-.f64 (.f64 #s(literal 4 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 1 binary64)) N)) N))
(+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* 4/3 (log (/ -1 N)))) N)) (* 2 (log (/ -1 N))))) N)) (* 4 (log (/ -1 N)))) N)) (* 4 (pow (log (/ -1 N)) 2)))
(-.f64 (.f64 #s(literal 4 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 4/3 binary64) #s(literal 1 binary64)) N))) N)) 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 N N) (fma.f64 N (fma.f64 N #s(literal 11/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(.f64 (.f64 N N) (fma.f64 N (fma.f64 N (fma.f64 N #s(literal -5/6 binary64) #s(literal 11/12 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(pow (log (/ 1 N)) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))
(+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) N))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (.f64 N N))) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) N)))
(- (+ (* -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)))
(+.f64 (/.f64 (.f64 #s(literal 2 binary64) (log.f64 N)) N) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (.f64 N N)))) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (.f64 N (*.f64 N 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 #s(literal 2 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) N) (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))
(-.f64 (pow.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 -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N)) N))
(+ (* -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 (pow.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 -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.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 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 1 binary64)) N)) N)) N))
(/ 1 (pow (log N) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(/ 1 (pow (log N) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(/ 1 (pow (log N) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(/ 1 (pow (log N) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(/ 1 (pow (log (/ 1 N)) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(/ 1 (pow (log (/ 1 N)) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(/ 1 (pow (log (/ 1 N)) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(/ 1 (pow (log (/ 1 N)) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(/.f64 #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 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(/.f64 #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 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(/.f64 #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 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(/.f64 #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)))

rewrite342.0ms (3.6%)

Memory

-25.7MiB live, 533.1MiB allocated

Rules

4 592×	`lower-/.f32`
4 562×	`lower-/.f64`
3 084×	`lower-*.f32`
3 076×	`lower-*.f64`
2 216×	`lower-pow.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	339
0	97	311
1	408	299
2	3349	281
0	8759	281

Stop Event

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

Counts

29 → 1 099

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
(/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)) N))
(/.f64 (/.f64 #s(literal -1/2 binary64) N) N)
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)) N)))
(/.f64 #s(literal -1/2 binary64) N)
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))) (.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))) (*.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(*.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))))
(log.f64 (fma.f64 N N N))
(/.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 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
(-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))
(pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(pow.f64 (log.f64 N) #s(literal -2 binary64))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N)))
(+.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(+.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N)))
(+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N)) (/.f64 #s(literal -1/2 binary64) (.f64 N N)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) (/.f64 #s(literal 1 binary64) N))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) N))
(+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N))
(-.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) N (neg.f64 N)) (*.f64 N N)))
(-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N))))) (fma.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) N (neg.f64 N))) (.f64 N N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N (.f64 N N)))))) (/.f64 (/.f64 (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)))) (.f64 N (.f64 N N))) (fma.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) N (neg.f64 N))) (.f64 N N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N (.f64 N N)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N (.f64 N N)))) (/.f64 (+.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) N (neg.f64 N))) (.f64 N N))) (/.f64 (/.f64 (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64))) (.f64 N N)) (/.f64 (+.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) N (neg.f64 N))) (*.f64 N N))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N)))
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N))
(fma.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1 binary64) (neg.f64 N)) (neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal -1 binary64)) N)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1 binary64) N) (neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal -1 binary64)) N)))
(fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal -1/2 binary64) (.f64 N N)))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N) (/.f64 #s(literal -1/2 binary64) (.f64 N N)))
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(/.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) (log.f64 (fma.f64 N N N)))
(/.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) (neg.f64 (neg.f64 (log.f64 (fma.f64 N N N)))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(/.f64 (neg.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) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))) (neg.f64 (log.f64 (fma.f64 N N N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 (fma.f64 N N N))))
(pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))
(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (sqrt.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (neg.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) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) (log.f64 (fma.f64 N N N)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64))))
(+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (pow.f64 (log.f64 N) #s(literal -2 binary64)))
(-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal -6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal -4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal -4 binary64)) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal -2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal -6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal -4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal -4 binary64)) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal -2 binary64))))))
(-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal -4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal -4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 N)) (neg.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 N))) (pow.f64 (log.f64 N) #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 #s(literal 1 binary64) (log.f64 N)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 N))) (/.f64 #s(literal 1 binary64) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal -4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal -4 binary64)) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal -2 binary64)))) (-.f64 (pow.f64 (log.f64 N) #s(literal -6 binary64)) (pow.f64 (log1p.f64 N) #s(literal -6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (-.f64 (pow.f64 (log.f64 N) #s(literal -4 binary64)) (pow.f64 (log1p.f64 N) #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal -4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal -4 binary64)) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal -2 binary64)))) (-.f64 (pow.f64 (log.f64 N) #s(literal -6 binary64)) (pow.f64 (log1p.f64 N) #s(literal -6 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (-.f64 (pow.f64 (log.f64 N) #s(literal -4 binary64)) (pow.f64 (log1p.f64 N) #s(literal -4 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal -6 binary64)) (pow.f64 (log1p.f64 N) #s(literal -6 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal -4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal -4 binary64)) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal -6 binary64)) (pow.f64 (log1p.f64 N) #s(literal -6 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal -4 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal -4 binary64)) (*.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal -4 binary64)) (pow.f64 (log1p.f64 N) #s(literal -4 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal -4 binary64)) (pow.f64 (log1p.f64 N) #s(literal -4 binary64))) (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal -6 binary64)) (pow.f64 (log1p.f64 N) #s(literal -6 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal -4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal -4 binary64)) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal -6 binary64)) (pow.f64 (log1p.f64 N) #s(literal -6 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal -4 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal -4 binary64)) (*.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal -4 binary64)) (pow.f64 (log1p.f64 N) #s(literal -4 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal -4 binary64)) (pow.f64 (log1p.f64 N) #s(literal -4 binary64)))) (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal -6 binary64)) (pow.f64 (log1p.f64 N) #s(literal -6 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal -4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal -4 binary64)) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal -4 binary64)) (pow.f64 (log1p.f64 N) #s(literal -4 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal -4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal -4 binary64)) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal -2 binary64)))) (-.f64 (pow.f64 (log.f64 N) #s(literal -6 binary64)) (pow.f64 (log1p.f64 N) #s(literal -6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (-.f64 (pow.f64 (log.f64 N) #s(literal -4 binary64)) (pow.f64 (log1p.f64 N) #s(literal -4 binary64)))) #s(literal -1 binary64))
(.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal -6 binary64)) (pow.f64 (log1p.f64 N) #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 N) #s(literal -4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal -4 binary64)) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal -2 binary64))))))
(*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal -4 binary64)) (pow.f64 (log1p.f64 N) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 #s(literal 1 binary64) (log1p.f64 N))) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 #s(literal 1 binary64) (log1p.f64 N))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 (fma.f64 N N N)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (log.f64 (fma.f64 N N N))) (log.f64 (log.f64 (fma.f64 N N N)))))
(pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 (fma.f64 N N N))))
(*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (log1p.f64 N)) (log.f64 (log1p.f64 N))))
(pow.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 (exp.f64 #s(literal 2 binary64)) (log.f64 (log1p.f64 N)))
(*.f64 (log1p.f64 N) (log1p.f64 N))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 N))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 N)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (log.f64 N)) #s(literal -1 binary64) (*.f64 (log.f64 (log.f64 N)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (log.f64 N) #s(literal -2 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (log.f64 N)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 #s(literal 1 binary64) (log.f64 N)))

eval206.0ms (2.1%)

Memory: 41.0MiB live, 469.1MiB allocated
Compiler: Compiled 49 836 to 4 762 computations (90.4% saved)

prune261.0ms (2.7%)

Memory

-49.5MiB live, 495.7MiB allocated

Pruning

48 alts after pruning (45 fresh and 3 done)

	Pruned	Kept	Total
New	1 523	28	1 551
Fresh	19	17	36
Picked	4	1	5
Done	0	2	2
Total	1 546	48	1 594

Accuracy

99.6%

Counts

1 594 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.1%	(fma.f64 (/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (/.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))
▶	25.3%	(fma.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	26.3%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	25.1%	(fma.f64 (log1p.f64 N) (/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))))) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	27.1%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)) (*.f64 (log.f64 (fma.f64 N N N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
	25.6%	(/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
	25.6%	(/.f64 (/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
	24.9%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	24.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))
	24.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64))))
	24.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	26.4%	(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
	24.9%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 6 binary64)) (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64))))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
	24.9%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
▶	22.5%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
	24.8%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))))
	22.3%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 (*.f64 N N) N))))
	25.8%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (*.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))))
	26.4%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
	25.1%	(-.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
	24.8%	(.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))))
	25.6%	(*.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
	24.9%	(.f64 (/.f64 (.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))) (.f64 (pow.f64 (-.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
	24.9%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (log.f64 (fma.f64 N N N)))))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
	25.6%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (pow.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal -2 binary64)) #s(literal -1 binary64)))
	24.9%	(.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (log.f64 (fma.f64 N N N))))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
	24.9%	(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))) (log1p.f64 N)) (log1p.f64 N))
✓	28.3%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	27.8%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	27.8%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
	94.2%	#s(approx (/ (neg (- 0 (pow (log (/ N (+ N 1))) 2))) (log (/ (+ N 1) N))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
	90.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N (.f64 N N))))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
▶	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
✓	90.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	96.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) N (neg.f64 N))) (.f64 N N)))
	94.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N))
	94.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))) N))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (/ 1/4 N) -1/3) N) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)))) N)))))
	91.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
	96.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal 1/12 binary64) (.f64 N N))))))))
▶	96.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))))))
	94.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (neg.f64 N)) (neg.f64 N))))))
✓	83.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	96.2%	#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))
	90.7%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
▶	90.4%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))

Compiler

Compiled 2 198 to 1 245 computations (43.4% saved)

simplify200.0ms (2.1%)

Memory

22.2MiB live, 376.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 N N #s(literal -1 binary64))
cost-diff	0	(log.f64 (fma.f64 N N #s(literal -1 binary64)))
cost-diff	0	(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64))))
cost-diff	0	(fma.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
cost-diff	0	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
cost-diff	64	(-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
cost-diff	192	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
cost-diff	256	(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) N)
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
cost-diff	320	(-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)))
cost-diff	0	(+.f64 N #s(literal -1/2 binary64))
cost-diff	0	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
cost-diff	0	#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))))))
cost-diff	128	(neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))
cost-diff	320	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N))
cost-diff	832	(fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))

Rules

5 346×	`lower-fma.f32`
5 338×	`lower-fma.f64`
2 312×	`lower-*.f32`
2 310×	`lower-*.f64`
1 412×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	511
0	115	498
1	194	484
2	366	482
3	1139	462
4	3796	462
5	6332	462
6	7487	462
0	8012	458

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))
#s(literal 1 binary64)
#s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))))
(neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))
(fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))
N
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N))
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))
#s(literal 1/2 binary64)
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
#s(literal 1/12 binary64)
(/.f64 #s(literal -1/24 binary64) N)
#s(literal -1/24 binary64)
(neg.f64 N)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(+.f64 N #s(literal -1/2 binary64))
N
#s(literal -1/2 binary64)
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
(-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)))
(/.f64 #s(literal -1/2 binary64) N)
#s(literal -1/2 binary64)
N
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N 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)
#s(literal -1/3 binary64)
(*.f64 N N)
#s(literal 1 binary64)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
#s(literal 0 binary64)
(pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
(-.f64 (log.f64 N) (log1p.f64 N))
(log.f64 N)
N
(log1p.f64 N)
#s(literal 2 binary64)
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(/.f64 (+.f64 N #s(literal 1 binary64)) N)
(+.f64 N #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
(-.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))
N
#s(literal -1 binary64)
(log.f64 (+.f64 N #s(literal -1 binary64)))
(+.f64 N #s(literal -1 binary64))
(/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N)))
(log1p.f64 N)
(log.f64 (fma.f64 N N N))
(fma.f64 N N N)
(neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(log.f64 N)
#s(literal 2 binary64)

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))
#s(literal 1 binary64)
#s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))))
#s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))
(neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))
(+.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))
(fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))
(+.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N) (-.f64 #s(literal -1/2 binary64) N))
N
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N))
(/.f64 (+.f64 #s(literal 1/12 binary64) (fma.f64 N #s(literal -1/2 binary64) (/.f64 #s(literal -1/24 binary64) N))) (*.f64 N N))
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))
#s(literal 1/2 binary64)
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
#s(literal 1/12 binary64)
(/.f64 #s(literal -1/24 binary64) N)
#s(literal -1/24 binary64)
(neg.f64 N)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(+.f64 N #s(literal -1/2 binary64))
N
#s(literal -1/2 binary64)
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N))
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)
(-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 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 #s(literal -1/2 binary64) N)
#s(literal -1/2 binary64)
N
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))
(+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 N N)) #s(literal -1 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))
(/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 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)
#s(literal -1/3 binary64)
(*.f64 N N)
#s(literal 1 binary64)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(/.f64 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) (log1p.f64 (/.f64 #s(literal 1 binary64) N)))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
(pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
#s(literal 0 binary64)
(pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
(-.f64 (log.f64 N) (log1p.f64 N))
(log.f64 N)
N
(log1p.f64 N)
#s(literal 2 binary64)
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 (+.f64 N #s(literal 1 binary64)) N)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(+.f64 N #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
(-.f64 (*.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))
(-.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))
N
#s(literal -1 binary64)
(log.f64 (+.f64 N #s(literal -1 binary64)))
(+.f64 N #s(literal -1 binary64))
(/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N)))
(log1p.f64 N)
(log.f64 (fma.f64 N N N))
(fma.f64 N N N)
(neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (log.f64 (fma.f64 N N N))))
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(log.f64 N)
#s(literal 2 binary64)

localize337.0ms (3.5%)

Memory

14.6MiB live, 485.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15625	(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64))))
accuracy	0.4921875	(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))
accuracy	0.5332413086106522	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	47.790580302942125	(fma.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
accuracy	0.542011279305326	(pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
accuracy	0.5420112793053261	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
accuracy	46.26473264711155	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
accuracy	48.00575271800666	(-.f64 (log.f64 N) (log1p.f64 N))
accuracy	0.125	(-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)))
accuracy	0.1328125	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
accuracy	0.4375	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))
accuracy	2.330029710854541	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
accuracy	0	(*.f64 N N)
accuracy	0	#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))
accuracy	0.28515625	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
accuracy	5.929729346268419	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
accuracy	0.3359375	(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
accuracy	0.38671875	(/.f64 #s(literal -1/24 binary64) N)
accuracy	2.3151929958772155	#s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))))
accuracy	2.330029710854541	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))))))

Samples

221.0ms	193×	1	valid
30.0ms	63×	0	valid

Compiler

Compiled 431 to 65 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 210.0ms

ival-div: 44.0ms (21% of total)

ival-log: 36.0ms (17.2% of total)

ival-add: 30.0ms (14.3% of total)

adjust: 27.0ms (12.9% of total)

ival-sub: 18.0ms (8.6% of total)

const: 14.0ms (6.7% of total)

ival-log1p: 13.0ms (6.2% of total)

ival-mult: 10.0ms (4.8% of total)

ival-pow2: 9.0ms (4.3% of total)

ival-neg: 6.0ms (2.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series24.0ms (0.2%)

Memory

-11.4MiB live, 26.0MiB allocated

Counts

30 → 360

Calls

Call 1

Inputs
#<alt (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))>
#<alt (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N))>
#<alt (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))>
#<alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))))))>
#<alt #s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))>
#<alt #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))>
#<alt (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))>
#<alt (+.f64 N #s(literal -1/2 binary64))>
#<alt (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)))>
#<alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)>
#<alt (/.f64 #s(literal -1/2 binary64) N)>
#<alt (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))>
#<alt (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))>
#<alt (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))>
#<alt (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))>
#<alt (fma.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))>
#<alt (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64))))>
#<alt (log.f64 (fma.f64 N N #s(literal -1 binary64)))>
#<alt (fma.f64 N N #s(literal -1 binary64))>
#<alt #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))))>
#<alt (/.f64 #s(literal -1/24 binary64) N)>
#<alt (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)>
#<alt (*.f64 N N)>
#<alt (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))>
#<alt (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))>
#<alt (-.f64 (log.f64 N) (log1p.f64 N))>
#<alt (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))>
#<alt (pow.f64 (log.f64 N) #s(literal 2 binary64))>
#<alt (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))>

Outputs
#<alt (/ -1/24 (pow N 2))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 2))>
#<alt (/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 2))>
#<alt (/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 2))>
#<alt (* -1 N)>
#<alt (* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))>
#<alt (* N (- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N)))))>
#<alt (* N (- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3)))))))>
#<alt (* -1 N)>
#<alt (* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))>
#<alt (* -1 (* N (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))))>
#<alt (* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N)))))>
#<alt (/ -1/24 (pow N 3))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 3))>
#<alt (/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))>
#<alt (/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))>
#<alt (/ -1/2 N)>
#<alt (/ (- (* 1/12 (/ 1 N)) 1/2) N)>
#<alt (/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)>
#<alt (/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)>
#<alt (/ -1/2 N)>
#<alt (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N))>
#<alt (/ 1/24 (pow N 2))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))>
#<alt (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))>
#<alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
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#<alt (/ (- (* 1/12 N) 1/24) (pow N 2))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 2))>
#<alt (/ 1/12 N)>
#<alt (/ (- 1/12 (* 1/24 (/ 1 N))) N)>
#<alt (/ (- 1/12 (* 1/24 (/ 1 N))) N)>
#<alt (/ (- 1/12 (* 1/24 (/ 1 N))) N)>
#<alt (/ 1/12 N)>
#<alt (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))>
#<alt (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))>
#<alt (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (/ 1/4 (pow N 3))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 3))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 3))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 3))>
#<alt (/ -1/3 (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (/ -1/3 (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))>
#<alt (/ 1/4 N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* 1/2 N) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))>
#<alt (/ -1 N)>
#<alt (/ (- (* 1/2 (/ 1 N)) 1) N)>
#<alt (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ -1 N)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))>
#<alt (pow (log N) 2)>
#<alt (+ (* -2 (* N (log N))) (pow (log N) 2))>
#<alt (+ (* N (+ (* -2 (log N)) (* N (+ 1 (log N))))) (pow (log N) 2))>
#<alt (+ (* N (+ (* -2 (log N)) (* N (+ 1 (+ (log N) (* N (- (* -2/3 (log N)) 1))))))) (pow (log N) 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ (- 1 (/ 1 N)) (pow N 2))>
#<alt (/ (- (+ 1 (/ 11/12 (pow N 2))) (/ 1 N)) (pow N 2))>
#<alt (/ (- (+ 1 (/ 11/12 (pow N 2))) (+ (/ 1 N) (* 5/6 (/ 1 (pow N 3))))) (pow N 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ (- 1 (/ 1 N)) (pow N 2))>
#<alt (/ (+ 1 (* -1 (/ (- 1 (* 11/12 (/ 1 N))) N))) (pow N 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 11/12 (* 5/6 (/ 1 N))) N))) N))) (pow N 2))>
#<alt (pow (log N) 2)>
#<alt (pow (log N) 2)>
#<alt (pow (log N) 2)>
#<alt (pow (log N) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1)))>
#<alt (* -1/2 (log (/ 1 N)))>
#<alt (- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))>
#<alt (- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))>
#<alt (- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))>
#<alt (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))>
#<alt (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))))>
#<alt (+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>

Calls

90 calls:

Time	Variable		Point	Expression
8.0ms	N	@	-inf	(+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N)))))
2.0ms	N	@	inf	(+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N)))))
0.0ms	N	@	inf	(+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))
0.0ms	N	@	0	(+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))
0.0ms	N	@	inf	(log (+ (* N N) -1))

simplify345.0ms (3.6%)

Memory

26.9MiB live, 619.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 782×	`lower-fma.f64`
6 782×	`lower-fma.f32`
4 052×	`lower-+.f64`
4 052×	`lower-+.f32`
3 888×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	621	5133
1	1925	4751
2	6277	4531
0	8559	4347

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 353

Calls

Call 1

Inputs
(/ -1/24 (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 2))
(/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 2))
(* -1 N)
(* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))
(* N (- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N)))))
(* N (- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3)))))))
(* -1 N)
(* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))
(* -1 (* N (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))))
(* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N)))))
(/ -1/24 (pow N 3))
(/ (- (* 1/12 N) 1/24) (pow N 3))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/ -1/2 N)
(/ (- (* 1/12 (/ 1 N)) 1/2) N)
(/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)
(/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)
(/ -1/2 N)
(* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N))
(/ 1/24 (pow N 2))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 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 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 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))
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
-1/2
(- N 1/2)
(- N 1/2)
(- N 1/2)
N
(* N (- 1 (* 1/2 (/ 1 N))))
(* N (- 1 (* 1/2 (/ 1 N))))
(* N (- 1 (* 1/2 (/ 1 N))))
N
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(/ -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
(- 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
(- 1 (* 1/2 (/ 1 N)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 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))
(/ -1/4 (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 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 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))
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(pow (log N) 2)
(+ (* -2 (* N (log N))) (pow (log N) 2))
(+ (* N (+ (* -2 (log N)) (* N (+ 1 (log N))))) (pow (log N) 2))
(+ (* N (+ (* -2 (log N)) (* N (+ 1 (+ (log N) (* N (- (* -2/3 (log N)) 1))))))) (pow (log N) 2))
(/ 1 (pow N 2))
(/ (- 1 (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 11/12 (pow N 2))) (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 11/12 (pow N 2))) (+ (/ 1 N) (* 5/6 (/ 1 (pow N 3))))) (pow N 2))
(/ 1 (pow N 2))
(/ (- 1 (/ 1 N)) (pow N 2))
(/ (+ 1 (* -1 (/ (- 1 (* 11/12 (/ 1 N))) N))) (pow N 2))
(/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 11/12 (* 5/6 (/ 1 N))) N))) N))) (pow N 2))
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 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)
(/ 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))
(* -1 (pow (log N) 2))
(- (* 2 (* N (log N))) (pow (log N) 2))
(- (* N (- (* -1 (* N (+ 1 (log N)))) (* -2 (log N)))) (pow (log N) 2))
(- (* N (- (* N (- (* N (- 1 (* -2/3 (log N)))) (+ 1 (log N)))) (* -2 (log N)))) (pow (log N) 2))
(/ -1 (pow N 2))
(/ (- (/ 1 N) 1) (pow N 2))
(/ (- (/ 1 N) (+ 1 (/ 11/12 (pow N 2)))) (pow N 2))
(/ (- (+ (/ 1 N) (* 5/6 (/ 1 (pow N 3)))) (+ 1 (/ 11/12 (pow N 2)))) (pow N 2))
(/ -1 (pow N 2))
(/ (- (/ 1 N) 1) (pow N 2))
(/ (- (* -1 (/ (- (* 11/12 (/ 1 N)) 1) N)) 1) (pow N 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 5/6 (/ 1 N)) 11/12) N)) 1) N)) 1) (pow N 2))
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* N (+ 1/2 (+ (* -1 (/ (+ 1 (log N)) (log N))) (/ 1 (log N))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (+ 1/2 (+ (* -1 (/ (+ 1 (log N)) (log N))) (+ (* N (- (* -1 (/ (- (* -2/3 (log N)) 1) (log N))) (+ 1/3 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1 (log N)) (log N))) (/ 1 (log N)))) (log N))) (* 1/2 (/ 1 (log N))))))) (/ 1 (log N)))))))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 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 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(- (* 1/2 (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (* -1/2 (log (/ 1 N))))
(- (+ (* 1/2 (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (* 5/4 (/ 1 N))) (+ (* -1/2 (log (/ 1 N))) (* -1/4 (/ (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (* N (log (/ 1 N)))))))
(- (+ (* -1/2 (/ (+ 1 (+ (* -1/2 (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (* 1/2 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/2 (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (+ (* 5/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))) (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (- 1 (* -1/4 (/ (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (* N (log (/ 1 N))))) (+ (* 1/8 (/ (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (/ 1/8 (pow N 2)))))))
(- (+ (* -1/2 (/ (+ 1 (+ (* -1/2 (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (* 1/2 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (- (+ (* -1/3 (log (/ 1 N))) (* 1/3 (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) 1) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/2 (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (+ (* 5/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3))))))))) (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (- 1 (* -1/4 (/ (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (+ 1 (+ (* -1/2 (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (* 1/2 (log (/ 1 N))))) (log (/ 1 N)))) (+ (* -1/2 (/ (- 1 (* -1/4 (/ (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (log (/ 1 N))))) (log (/ 1 N)))) (* 1/8 (/ (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/4 (/ (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (* N (log (/ 1 N))))) (+ (* -1/12 (/ (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/8 (/ (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/4 (/ (- 1 (* -1/4 (/ (- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))))))))))
(- (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N))))))) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) (* -1/4 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
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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))))
(- (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))
(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (* -1 (log (/ 1 N))))
(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (+ (* -1 (log (/ 1 N))) (/ 1/2 (pow N 2))))
(- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (+ (* -1 (log (/ 1 N))) (/ 1/2 (pow N 2))))
(- (* -2 (log (/ -1 N))) (+ (log -1) (* -1 (log (/ -1 N)))))
(- (+ (* -2 (log (/ -1 N))) (/ 1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))
(- (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))) (+ (log -1) (* -1 (log (/ -1 N)))))
(- (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))) (+ (log -1) (* -1 (log (/ -1 N)))))
(log -1)
(+ (log -1) (* -1 (pow N 2)))
(+ (log -1) (* (pow N 2) (- (* -1/2 (pow N 2)) 1)))
(+ (log -1) (* (pow N 2) (- (* (pow N 2) (- (* -1/3 (pow N 2)) 1/2)) 1)))
(* -2 (log (/ 1 N)))
(- (* -2 (log (/ 1 N))) (/ 1 (pow N 2)))
(+ (* -2 (log (/ 1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow N 2)))) (pow N 2))))
(- (+ (* -2 (log (/ 1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow N 2)))) (pow N 4)))) (/ 1 (pow N 2)))
(* -2 (log (/ -1 N)))
(- (* -2 (log (/ -1 N))) (/ 1 (pow N 2)))
(+ (* -2 (log (/ -1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow N 2)))) (pow N 2))))
(- (+ (* -2 (log (/ -1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow N 2)))) (pow N 4)))) (/ 1 (pow N 2)))
-1
(- (pow N 2) 1)
(- (pow N 2) 1)
(- (pow N 2) 1)
(pow N 2)
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(pow N 2)
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(* -4 (pow N 4))
(* (pow N 4) (- (* -16/3 N) 4))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
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(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ 1/12 N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(/ 1/12 N)
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(/ 1/4 (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ -1/3 (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ -1/3 (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(/ -1 N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ -1 N)
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(pow (log N) 2)
(+ (* -2 (* N (log N))) (pow (log N) 2))
(+ (* N (+ (* -2 (log N)) (* N (+ 1 (log N))))) (pow (log N) 2))
(+ (* N (+ (* -2 (log N)) (* N (+ 1 (+ (log N) (* N (- (* -2/3 (log N)) 1))))))) (pow (log N) 2))
(/ 1 (pow N 2))
(/ (- 1 (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 11/12 (pow N 2))) (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 11/12 (pow N 2))) (+ (/ 1 N) (* 5/6 (/ 1 (pow N 3))))) (pow N 2))
(/ 1 (pow N 2))
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(/ (+ 1 (* -1 (/ (- 1 (* 11/12 (/ 1 N))) N))) (pow N 2))
(/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 11/12 (* 5/6 (/ 1 N))) N))) N))) (pow N 2))
(pow (log N) 2)
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(pow (log N) 2)
(pow (log N) 2)
(pow (log (/ 1 N)) 2)
(pow (log (/ 1 N)) 2)
(pow (log (/ 1 N)) 2)
(pow (log (/ 1 N)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1)))
(* -1/2 (log (/ 1 N)))
(- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))
(- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))
(- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))
(+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))))
(+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))

Outputs
(/ -1/24 (pow N 2))
(/.f64 #s(literal -1/24 binary64) (*.f64 N N))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 2))
(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (*.f64 N N))
(/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 2))
(/.f64 (fma.f64 N (fma.f64 N (-.f64 #s(literal -1/2 binary64) N) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (*.f64 N N))
(* -1 N)
(neg.f64 N)
(* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))
(-.f64 #s(literal -1/2 binary64) N)
(* N (- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N)))))
(+.f64 (/.f64 #s(literal 1/12 binary64) N) (-.f64 #s(literal -1/2 binary64) N))
(* N (- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3)))))))
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(* -1 N)
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(* -1 (* N (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))))
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(* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N)))))
(fma.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))) N) (neg.f64 N))
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(/ (- (* 1/12 N) 1/24) (pow N 3))
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(/ -1/2 N)
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(* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N))
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(* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N))
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(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
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(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))
(/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
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(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
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N
(* N (+ 1 (* 1/2 (/ 1 N))))
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(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(neg.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) (-.f64 #s(literal -1/2 binary64) N)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))) N) N)
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
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(- (* N (+ 1 (* -1/2 N))) (log N))
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(-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64))) (neg.f64 (log.f64 (neg.f64 N)))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) (.f64 N (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64))) (.f64 N (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal 3 binary64)))))) N))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) #s(literal -1/8 binary64)) (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal 2 binary64)))) (.f64 N (neg.f64 (log.f64 (neg.f64 N))))) (fma.f64 #s(literal -1/12 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) (.f64 N (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) (.f64 N (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal 2 binary64))) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal 3 binary64)))))))) N) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 2 binary64))) (pow.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal 2 binary64)))) N))

rewrite382.0ms (4%)

Memory

-24.3MiB live, 578.3MiB allocated

Rules

3 790×	`lower-*.f32`
3 788×	`lower-*.f64`
3 716×	`lower-/.f32`
3 690×	`lower-/.f64`
3 210×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	71	373
0	115	322
1	536	303
2	4575	303
0	8972	303

Stop Event

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

Counts

30 → 989

Calls

Call 1

Inputs
(fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N))
(neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(+.f64 N #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
(/.f64 #s(literal -1/2 binary64) N)
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(fma.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
(-.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(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))))
(/.f64 #s(literal -1/24 binary64) N)
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
(*.f64 N N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(-.f64 (log.f64 N) (log1p.f64 N))
(pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))

Outputs
(+.f64 (neg.f64 N) (*.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
(+.f64 (*.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) (neg.f64 N))
(-.f64 #s(literal 0 binary64) (+.f64 N (/.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)))
(-.f64 (*.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) N)
(-.f64 (/.f64 (/.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N N)) (fma.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) N)) (/.f64 (*.f64 N N) (fma.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) N)))
(-.f64 (fma.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal 0 binary64)) N)
(fma.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (neg.f64 N))
(fma.f64 N #s(literal -1 binary64) (*.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (*.f64 (/.f64 #s(literal -1 binary64) N) N) (neg.f64 N))
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) N (neg.f64 N))
(fma.f64 #s(literal -1 binary64) N (*.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
(fma.f64 (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (/.f64 #s(literal -1 binary64) N) (neg.f64 N))
(fma.f64 (/.f64 N #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (neg.f64 N))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 N) (-.f64 (neg.f64 N) (.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (/.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N N))) (fma.f64 N (.f64 N N) (/.f64 (.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N (*.f64 N N))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) N) (-.f64 (/.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N N)) (*.f64 N N))))
(/.f64 (fma.f64 N (.f64 N N) (/.f64 (.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N (.f64 N N)))) (fma.f64 (neg.f64 N) (-.f64 (neg.f64 N) (.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (/.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N N))))
(/.f64 (fma.f64 N (.f64 N N) (/.f64 (.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N (.f64 N N)))) (fma.f64 N N (-.f64 (/.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N N)) (.f64 N (/.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N N)) (*.f64 N N)) (fma.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) N))
(/.f64 (neg.f64 (fma.f64 N (.f64 N N) (/.f64 (.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N (.f64 N N))))) (neg.f64 (fma.f64 (neg.f64 N) (-.f64 (neg.f64 N) (.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (/.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N N)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N N)) (*.f64 N N))) (neg.f64 (fma.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) N)))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N (.f64 N N))) (.f64 N (.f64 N N))) (+.f64 (/.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N N)) (fma.f64 N N (.f64 (*.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) N))))
(/.f64 (-.f64 (.f64 N N) (/.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N N))) (-.f64 (neg.f64 N) (.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))
(pow.f64 (/.f64 (fma.f64 (neg.f64 N) (-.f64 (neg.f64 N) (.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (/.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N N))) (fma.f64 N (.f64 N N) (/.f64 (.f64 (.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (.f64 N (*.f64 N N))))) #s(literal -1 binary64))
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(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) (*.f64 (fma.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))
(/.f64 (.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (*.f64 (log.f64 (fma.f64 N N N)) (fma.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 6 binary64)))) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 4 binary64)))) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 6 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))))
(/.f64 (*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(/.f64 (.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) (log.f64 (fma.f64 N N N)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 6 binary64)))) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 4 binary64)))) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (fma.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (fma.f64 N N N)))
(pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)))
(*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 N))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (log.f64 N)) (log.f64 (log.f64 N))))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 N)))
(*.f64 (log.f64 N) (log.f64 N))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (log.f64 (fma.f64 N N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))))
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))
(/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (neg.f64 (log.f64 (fma.f64 N N N))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (log.f64 (fma.f64 N N N)))))
(/.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (fma.f64 N N N)))
(pow.f64 (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))
(.f64 (log.f64 N) (.f64 (log.f64 N) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))))
(*.f64 (log.f64 N) (/.f64 (log.f64 N) (log.f64 (fma.f64 N N N))))
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))))
(*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (pow.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) #s(literal -1 binary64)))

eval171.0ms (1.8%)

Memory: 22.3MiB live, 281.6MiB allocated
Compiler: Compiled 38 670 to 3 809 computations (90.1% saved)

prune229.0ms (2.4%)

Memory

10.1MiB live, 347.6MiB allocated

Pruning

46 alts after pruning (42 fresh and 4 done)

	Pruned	Kept	Total
New	1 349	19	1 368
Fresh	17	23	40
Picked	3	2	5
Done	1	2	3
Total	1 370	46	1 416

Accuracy

99.7%

Counts

1 416 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.1%	(fma.f64 (/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (/.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))
	26.7%	(fma.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 #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)))) (neg.f64 (log.f64 N)))
✓	25.3%	(fma.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	26.3%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	25.1%	(fma.f64 (log1p.f64 N) (/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))))) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	27.1%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)) (*.f64 (log.f64 (fma.f64 N N N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
	25.6%	(/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
	25.6%	(/.f64 (/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
	24.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))
	24.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64))))
	24.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	22.8%	(/.f64 (+.f64 (.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 N)) (.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (neg.f64 (log1p.f64 N)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
	26.4%	(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	24.9%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 6 binary64)) (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64))))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
	24.9%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
✓	22.5%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
	24.8%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))))
	22.3%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 (*.f64 N N) N))))
	25.8%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (*.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))))
	26.4%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
	25.1%	(-.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
	24.8%	(.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))))
	25.6%	(*.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
	24.9%	(.f64 (/.f64 (.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))) (.f64 (pow.f64 (-.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
	24.9%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (log.f64 (fma.f64 N N N)))))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
	25.6%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) (pow.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal -2 binary64)) #s(literal -1 binary64)))
	24.9%	(.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (log.f64 (fma.f64 N N N))))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
	24.9%	(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))) (log1p.f64 N)) (log1p.f64 N))
✓	28.3%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	27.8%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	27.8%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
	94.2%	#s(approx (/ (neg (- 0 (pow (- (log N) (log (+ 1 N))) 2))) (log (/ (+ N 1) N))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
	90.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N (.f64 N N))))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))) N))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
	96.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))) N) N))))
	91.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(literal 1/2 binary64)))))
	94.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) (-.f64 #s(literal -1/2 binary64) N))))))
	96.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))))))
	96.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (+.f64 (/.f64 #s(literal 1/12 binary64) N) (.f64 N (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N)))))))))))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))))))
✓	83.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	90.7%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
	90.3%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))))
	83.0%	#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) (+.f64 (+.f64 (/.f64 #s(literal 5/4 binary64) N) #s(literal 0 binary64)) (/.f64 #s(literal -1/4 binary64) N)))
	3.3%	#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) #s(literal 0 binary64))

Compiler

Compiled 3 745 to 1 077 computations (71.2% saved)

regimes58.0ms (0.6%)

Memory

-18.4MiB live, 100.8MiB allocated

Counts

100 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) (+.f64 (+.f64 (/.f64 #s(literal 5/4 binary64) N) #s(literal 0 binary64)) (/.f64 #s(literal -1/4 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) (-.f64 #s(literal -1/2 binary64) N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (/ (neg (- 0 (pow (- (log N) (log (+ 1 N))) 2))) (log (/ (+ N 1) N))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N))
#s(approx (/ (neg (- 0 (pow (log (/ N (+ N 1))) 2))) (log (/ (+ N 1) N))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (neg.f64 N)) (neg.f64 N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (/ 1/4 N) -1/3) N) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)))) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) N (neg.f64 N))) (.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (/ 1/4 N) -1/3) N) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)))) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (+.f64 (/.f64 #s(literal 1/12 binary64) N) (.f64 N (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N)))))))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal 1/12 binary64) (.f64 N N))))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N (.f64 N N))))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))) (.f64 N N))))) N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (.f64 (pow.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))) (*.f64 N N)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
(/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(*.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
(*.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(.f64 (log.f64 (fma.f64 N N N)) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (pow.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) (pow.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 (*.f64 N N) N))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))))
(/.f64 (/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(/.f64 (/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(/.f64 (+.f64 (.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 N)) (.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (neg.f64 (log1p.f64 N)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (*.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
(fma.f64 (log1p.f64 N) (/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))))) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
(.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))))
(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))) (log1p.f64 N)) (log1p.f64 N))
(fma.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 6 binary64)) (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64))))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)) (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)) (*.f64 (log.f64 (fma.f64 N N N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (log.f64 (fma.f64 N N N))))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (log.f64 (fma.f64 N N N)))))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(fma.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 #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)))) (neg.f64 (log.f64 N)))
(.f64 (.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -2 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) (.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))))
(/.f64 (.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))) (.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (log.f64 N) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)))
(.f64 (/.f64 (.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))) (*.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(fma.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -2 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))) (.f64 (pow.f64 (-.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(fma.f64 (/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (/.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (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)))))) (.f64 (log.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 N) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (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))))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 9 binary64)) (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N 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) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(/.f64 #s(approx (- (* 1 (/ (log (+ (* N N) N)) (pow (log N) 2))) (* (/ (log (+ (* N N) N)) (pow (log (+ 1 N)) 2)) 1)) (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (.f64 (.f64 N N) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)))) (fma.f64 #s(literal -3 binary64) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2/3 binary64) #s(literal -1 binary64)) (.f64 (.f64 N (.f64 N N)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 N)) #s(literal 11/12 binary64)) (.f64 (.f64 N (.f64 N N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (.f64 N (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2/3 binary64) #s(literal -1 binary64)) (.f64 (.f64 N N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (fma.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 6 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (log.f64 N)) (/.f64 (fma.f64 (neg.f64 (.f64 (log.f64 N) #s(literal -2/3 binary64))) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))))) (.f64 (.f64 N (.f64 N N)) (neg.f64 (log.f64 N)))) (fma.f64 (+.f64 #s(literal -1 binary64) (log.f64 N)) (/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 6 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (.f64 (.f64 N (.f64 N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 6 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (.f64 (.f64 N N) (neg.f64 (log.f64 N)))) (/.f64 #s(literal 4 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 6 binary64) (.f64 N (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))))))))))) N)) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))

Outputs

#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))) N) N))))

(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))

Calls

2 calls:

28.0ms	N
24.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.4%	2	`N`
99.4%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes37.0ms (0.4%)

Memory

-12.0MiB live, 70.9MiB allocated

Counts

68 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) (+.f64 (+.f64 (/.f64 #s(literal 5/4 binary64) N) #s(literal 0 binary64)) (/.f64 #s(literal -1/4 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) (-.f64 #s(literal -1/2 binary64) N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (/ (neg (- 0 (pow (- (log N) (log (+ 1 N))) 2))) (log (/ (+ N 1) N))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N))
#s(approx (/ (neg (- 0 (pow (log (/ N (+ N 1))) 2))) (log (/ (+ N 1) N))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (neg.f64 N)) (neg.f64 N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (/ 1/4 N) -1/3) N) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)))) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) N (neg.f64 N))) (.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (/ 1/4 N) -1/3) N) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)))) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (+.f64 (/.f64 #s(literal 1/12 binary64) N) (.f64 N (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N)))))))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal 1/12 binary64) (.f64 N N))))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N (.f64 N N))))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))) (.f64 N N))))) N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (.f64 (pow.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))) (*.f64 N N)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
(/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(*.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
(*.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(.f64 (log.f64 (fma.f64 N N N)) (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (pow.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) (pow.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 (*.f64 N N) N))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))))
(/.f64 (/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(/.f64 (/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(/.f64 (+.f64 (.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 N)) (.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (neg.f64 (log1p.f64 N)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (*.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))))

Outputs

(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))

#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))) N) N))))

Calls

2 calls:

17.0ms	N
15.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.4%	2	`N`
99.4%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes29.0ms (0.3%)

Memory

13.1MiB live, 51.4MiB allocated

Counts

49 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) (+.f64 (+.f64 (/.f64 #s(literal 5/4 binary64) N) #s(literal 0 binary64)) (/.f64 #s(literal -1/4 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) (-.f64 #s(literal -1/2 binary64) N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (/ (neg (- 0 (pow (- (log N) (log (+ 1 N))) 2))) (log (/ (+ N 1) N))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N))
#s(approx (/ (neg (- 0 (pow (log (/ N (+ N 1))) 2))) (log (/ (+ N 1) N))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (neg.f64 N)) (neg.f64 N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (/ 1/4 N) -1/3) N) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)))) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) N (neg.f64 N))) (.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (/ 1/4 N) -1/3) N) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)))) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (+.f64 (/.f64 #s(literal 1/12 binary64) N) (.f64 N (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N)))))))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal 1/12 binary64) (.f64 N N))))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N (.f64 N N))))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))) (.f64 N N))))) N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (.f64 (pow.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))) (*.f64 N N)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
(/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))

Outputs

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

#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))) N) N))))

Calls

2 calls:

14.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
12.0ms	N

Results

Accuracy	Segments	Branch
99.4%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
99.4%	2	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes21.0ms (0.2%)

Memory

-5.6MiB live, 32.2MiB allocated

Counts

38 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) (+.f64 (+.f64 (/.f64 #s(literal 5/4 binary64) N) #s(literal 0 binary64)) (/.f64 #s(literal -1/4 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) (-.f64 #s(literal -1/2 binary64) N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (/ (neg (- 0 (pow (- (log N) (log (+ 1 N))) 2))) (log (/ (+ N 1) N))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N))
#s(approx (/ (neg (- 0 (pow (log (/ N (+ N 1))) 2))) (log (/ (+ N 1) N))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (neg.f64 N)) (neg.f64 N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (/ 1/4 N) -1/3) N) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)))) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) N (neg.f64 N))) (.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (/ 1/4 N) -1/3) N) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)))) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (+.f64 (/.f64 #s(literal 1/12 binary64) N) (.f64 N (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N)))))))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal 1/12 binary64) (.f64 N N))))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N (.f64 N N))))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))

Outputs

#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))) N) N))))

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

Calls

2 calls:

11.0ms	N
8.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes21.0ms (0.2%)

Memory

-2.9MiB live, 35.9MiB allocated

Counts

37 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) (+.f64 (+.f64 (/.f64 #s(literal 5/4 binary64) N) #s(literal 0 binary64)) (/.f64 #s(literal -1/4 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) (-.f64 #s(literal -1/2 binary64) N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (/ (neg (- 0 (pow (- (log N) (log (+ 1 N))) 2))) (log (/ (+ N 1) N))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N))
#s(approx (/ (neg (- 0 (pow (log (/ N (+ N 1))) 2))) (log (/ (+ N 1) N))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (neg.f64 N)) (neg.f64 N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (/ 1/4 N) -1/3) N) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)))) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) N (neg.f64 N))) (.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (/ 1/4 N) -1/3) N) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)))) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (+.f64 (/.f64 #s(literal 1/12 binary64) N) (.f64 N (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N)))))))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal 1/12 binary64) (.f64 N N))))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N (.f64 N N))))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))

Outputs

#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))) N) N))))

Calls

2 calls:

11.0ms	N
8.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
96.8%	1	`N`
96.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes12.0ms (0.1%)

Memory

18.7MiB live, 18.6MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) (+.f64 (+.f64 (/.f64 #s(literal 5/4 binary64) N) #s(literal 0 binary64)) (/.f64 #s(literal -1/4 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) (-.f64 #s(literal -1/2 binary64) N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (/ (neg (- 0 (pow (- (log N) (log (+ 1 N))) 2))) (log (/ (+ N 1) N))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N))
#s(approx (/ (neg (- 0 (pow (log (/ N (+ N 1))) 2))) (log (/ (+ N 1) N))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (neg.f64 N)) (neg.f64 N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (/ 1/4 N) -1/3) N) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)))) N)) N))

Outputs

#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))))))

Calls

2 calls:

6.0ms	N
5.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
96.6%	1	`N`
96.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) (+.f64 (+.f64 (/.f64 #s(literal 5/4 binary64) N) #s(literal 0 binary64)) (/.f64 #s(literal -1/4 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) (-.f64 #s(literal -1/2 binary64) N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (/ (neg (- 0 (pow (- (log N) (log (+ 1 N))) 2))) (log (/ (+ N 1) N))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.9%	1	`N`
94.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes48.0ms (0.5%)

Memory

-31.8MiB live, 10.3MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) (+.f64 (+.f64 (/.f64 #s(literal 5/4 binary64) N) #s(literal 0 binary64)) (/.f64 #s(literal -1/4 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))

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

Calls

2 calls:

45.0ms	N
3.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
91.4%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
91.4%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) (+.f64 (+.f64 (/.f64 #s(literal 5/4 binary64) N) #s(literal 0 binary64)) (/.f64 #s(literal -1/4 binary64) N)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
91.4%	1	`N`
91.4%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) #s(literal 0 binary64))

#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:

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

Results

Accuracy	Segments	Branch
83.3%	1	`N`
83.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) #s(literal 0 binary64))

Outputs
#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) #s(literal 0 binary64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
3.3%	1	`N`
3.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0008450875903038835	0.0011823937483912417

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch6.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	845.2420532415734	1182.8093646003256

Samples

3.0ms

64×

valid

Compiler

Compiled 167 to 100 computations (40.1% saved)

Precisions

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

ival-log: 1.0ms (53.8% of total)

ival-log1p: 1.0ms (53.8% of total)

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

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

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

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	845.2420532415734	1182.8093646003256

Compiler

Compiled 131 to 88 computations (32.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0008450875903038835	0.0011823937483912417

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify28.0ms (0.3%)

Memory

-19.4MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Rules

178×	`distribute-lft-neg-in_binary64`
120×	`neg-mul-1_binary64`
112×	`neg-sub0_binary64`
92×	`sub-neg_binary64`
80×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	113	493
1	150	491
2	209	491
3	285	490
4	375	489
5	487	489
6	582	489
7	659	489
8	705	489
9	721	489
10	724	489

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (.f64 N N))) N) N)))) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(if (<=.f64 N #s(literal 1150 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))) N) N)))))
(if (<=.f64 N #s(literal 1150 binary64)) (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))) N) N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))) N) N)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) (-.f64 #s(literal -1/2 binary64) N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) #s(literal 0 binary64))

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (.f64 N N))) N) N)))) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (.f64 N N))) N) N)))) (/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))))
(if (<=.f64 N #s(literal 1150 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))) N) N)))))
(if (<=.f64 N #s(literal 1150 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))) N) N)))))
(if (<=.f64 N #s(literal 1150 binary64)) (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))) N) N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))) N) N)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (neg.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) (-.f64 #s(literal -1/2 binary64) N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (-.f64 (-.f64 N #s(literal -1/2 binary64)) (/.f64 #s(literal 1/12 binary64) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (+ (* (- (log (+ (* N N) -1)) (log (+ N -1))) (/ (log (+ 1 N)) (log (+ (* N N) N)))) (neg (/ (pow (log N) 2) (log (+ (* N N) N))))) #s(literal 0 binary64))

soundness1.2s (12.7%)

Memory

28.0MiB live, 1 092.9MiB allocated

Rules

11 472×	`lower-fma.f64`
11 472×	`lower-fma.f32`
8 154×	`lower-fma.f64`
8 154×	`lower-fma.f32`
6 782×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	339
0	97	311
1	408	299
2	3349	281
0	8759	281
0	41	269
0	73	197
1	320	185
2	2604	185
0	8849	185
0	88	348
1	250	302
2	588	301
3	1587	295
4	4201	287
5	6272	287
6	7327	287
0	8056	278
0	6	16
0	10	15
1	42	15
2	269	15
3	2627	15
0	8846	12
0	959	9765
1	2982	9154
0	8266	8854
0	621	5133
1	1925	4751
2	6277	4531
0	8559	4347

Stop Event

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

Compiler

Compiled 640 to 286 computations (55.3% saved)

preprocess126.0ms (1.3%)

Memory: 13.9MiB live, 168.9MiB allocated
Compiler: Compiled 558 to 178 computations (68.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	5

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	14

Iter	Nodes	Cost
0	113	493
1	150	491
2	209	491
3	285	490
4	375	489
5	487	489
6	582	489
7	659	489
8	705	489
9	721	489
10	724	489

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	5

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	14

Iter	Nodes	Cost
0	113	493
1	150	491
2	209	491
3	285	490
4	375	489
5	487	489
6	582	489
7	659	489
8	705	489
9	721	489
10	724	489

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (14.5%)

explain111.0ms (1.2%)

preprocess21.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize59.0ms (0.6%)

series60.0ms (0.6%)

simplify284.0ms (3%)

rewrite336.0ms (3.5%)

eval60.0ms (0.6%)

prune73.0ms (0.8%)

simplify192.0ms (2%)

localize221.0ms (2.3%)

series62.0ms (0.6%)

simplify382.0ms (4%)

rewrite364.0ms (3.8%)

eval276.0ms (2.9%)

prune354.0ms (3.7%)

simplify288.0ms (3%)

localize342.0ms (3.6%)

series40.0ms (0.4%)

simplify534.0ms (5.6%)

rewrite342.0ms (3.6%)

eval206.0ms (2.1%)

prune261.0ms (2.7%)

simplify200.0ms (2.1%)

localize337.0ms (3.5%)

series24.0ms (0.2%)

simplify345.0ms (3.6%)

rewrite382.0ms (4%)

eval171.0ms (1.8%)

prune229.0ms (2.4%)

regimes58.0ms (0.6%)

regimes37.0ms (0.4%)

regimes29.0ms (0.3%)

regimes21.0ms (0.2%)

regimes21.0ms (0.2%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes48.0ms (0.5%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify28.0ms (0.3%)

soundness1.2s (12.7%)

preprocess126.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	5

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	14

Iter	Nodes	Cost
0	113	493
1	150	491
2	209	491
3	285	490
4	375	489
5	487	489
6	582	489
7	659	489
8	705	489
9	721	489
10	724	489