Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample1.6s (19.6%)

Memory

28.4MiB live, 1 528.0MiB allocated

Samples

1.1s	6 452×	1	valid
102.0ms	1 804×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

adjust: 329.0ms (32.3% of total)

ival-log1p: 301.0ms (29.5% of total)

ival-log: 256.0ms (25.1% of total)

ival-sub: 70.0ms (6.9% of total)

ival->: 22.0ms (2.2% of total)

ival-<: 16.0ms (1.6% of total)

ival-and: 11.0ms (1.1% of total)

exact: 10.0ms (1% of total)

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

Bogosity

explain122.0ms (1.5%)

Memory

-3.6MiB live, 154.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
245	1	(95.00653918337457)	1	(27.006163676580567)	`(-.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	245	3

Confusion

	Predicted +	Predicted -
+	244	1
-	1	10

Precision

0.9959183673469387

Recall

0.9959183673469387

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	244	1	0
-	1	2	8

Precision?

0.9879032258064516

Recall?

1.0

Freqs

test

number	freq
0	11
1	245

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms	392×	1	valid
7.0ms	120×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-log: 21.0ms (40.5% of total)

ival-log1p: 14.0ms (27% of total)

adjust: 8.0ms (15.4% of total)

ival-sub: 6.0ms (11.6% of total)

ival-add: 2.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess26.0ms (0.3%)

Memory

-17.1MiB live, 20.4MiB allocated

Algorithm

1×	egg-herbie

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 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.6%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB 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)))

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

localize47.0ms (0.6%)

Memory

-7.5MiB live, 66.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0	(log.f64 N)
accuracy	0.00390625	(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	47.60256443219358	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

33.0ms	196×	1	valid
4.0ms	60×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-log1p: 13.0ms (48.4% of total)

ival-log: 6.0ms (22.3% of total)

adjust: 4.0ms (14.9% of total)

ival-sub: 2.0ms (7.4% of total)

ival-add: 1.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series60.0ms (0.7%)

Memory

-0.1MiB live, 119.4MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#s(alt N (taylor 0 N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (* -1/2 N))) (taylor 0 N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (taylor 0 N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))) (taylor 0 N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log N)) (taylor 0 N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt (- N (log N)) (taylor 0 N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt (- (* N (+ 1 (* -1/2 N))) (log N)) (taylor 0 N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) (taylor 0 N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (log N) (taylor 0 N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (log N) (taylor 0 N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (log N) (taylor 0 N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (log N) (taylor 0 N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 N))) (taylor inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 N))) (/ 1 N)) (taylor inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))) (taylor inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))) (taylor inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 N) (taylor inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* 1/2 (/ 1 N))) N) (taylor inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) (taylor inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (taylor inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt N (taylor inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 N))) (taylor inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 N))) (taylor inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 N))) (taylor inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 N))) (taylor inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 N)))) (taylor -inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N))) (taylor -inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) (taylor -inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) (taylor -inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 N) (taylor -inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) (taylor -inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) (taylor -inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) (taylor -inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt N (taylor -inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 N)))) (taylor -inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 N)))) (taylor -inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 N)))) (taylor -inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 N)))) (taylor -inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
27.0ms	N	@	0	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
19.0ms	N	@	-inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
7.0ms	N	@	inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))

simplify145.0ms (1.8%)

Memory

29.5MiB live, 199.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	330
1	250	302
2	588	301
3	1591	295
4	4186	287
5	6252	287
6	7306	287
0	8036	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 N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
(log N)
(log N)
(log N)
(log N)
(* -1 (log (/ 1 N)))
(+ (* -1 (log (/ 1 N))) (/ 1 N))
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 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))) (/ 1 N)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
(/ 1 N)
(* -1 (/ (- (* 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))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 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)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N)
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N)
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N)
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N) N (-.f64 N (log.f64 N)))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(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))) (/ 1 N))
(-.f64 (log.f64 N) (/.f64 #s(literal -1 binary64) N))
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(-.f64 (log.f64 N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) 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 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) 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 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (-.f64 (/.f64 (-.f64 #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)) N)
N
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) 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 (neg.f64 N)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))
(-.f64 (+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(-.f64 (+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
(-.f64 (+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) 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 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 (-.f64 (/.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)) N)
N
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(+ (log -1) (* -1 (log (/ -1 N))))
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64)))

rewrite228.0ms (2.8%)

Memory

1.3MiB live, 191.3MiB allocated

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
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eval65.0ms (0.8%)

Memory: -26.7MiB live, 97.9MiB allocated
Compiler: Compiled 12 638 to 1 563 computations (87.6% saved)

prune29.0ms (0.4%)

Memory

17.2MiB live, 56.5MiB allocated

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	447	23	470
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	448	23	471

Accuracy

99.7%

Counts

471 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.0%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	26.6%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.3%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))))) (.f64 (log.f64 N) (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))))
	25.5%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))) (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	25.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))
	25.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.7%	(/.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 N) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 N)) (log1p.f64 N)))))
	25.6%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
▶	25.6%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	25.4%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	25.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	25.6%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
	25.5%	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
▶	25.6%	(-.f64 (log1p.f64 N) (log.f64 N))
	24.8%	(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))
	25.6%	(.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
	28.9%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
	28.2%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	25.6%	(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
▶	96.2%	#s(approx (- (log (+ N 1)) (log 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) #s(literal -1 binary64)) N))
	92.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	83.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 1 196 to 542 computations (54.7% saved)

simplify179.0ms (2.2%)

Memory

-13.5MiB live, 176.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
cost-diff	12864	(-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N)))
cost-diff	41024	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
cost-diff	0	(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))
cost-diff	0	(log1p.f64 N)
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
cost-diff	19776	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
cost-diff	0	(log.f64 N)
cost-diff	0	(log1p.f64 N)
cost-diff	0	(-.f64 (log1p.f64 N) (log.f64 N))
cost-diff	0	(/.f64 #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 (/.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))
cost-diff	0	(/.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) #s(literal -1 binary64)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log 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) #s(literal -1 binary64)) N))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	307
0	61	288
1	109	288
2	254	284
3	743	268
4	3708	268
0	9026	268

Stop Event

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

Calls

Call 1

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

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

localize228.0ms (2.8%)

Memory

4.3MiB live, 220.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.38671875	(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
accuracy	0.526386279305326	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.549160009768442	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	47.23277692617797	(-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N)))
accuracy	0.46322250976844204	(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))
accuracy	0.526386279305326	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.549160009768442	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	46.31394898167037	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
accuracy	0	(log.f64 N)
accuracy	0.00390625	(log1p.f64 N)
accuracy	47.60256443219358	(-.f64 (log1p.f64 N) (log.f64 N))
accuracy	0	(/.f64 #s(literal 1 binary64) N)
accuracy	10.711635615672385	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy	0.07421875	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
accuracy	0.18359375	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.2890625	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.391767744698251	#s(approx (- (log (+ N 1)) (log 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) #s(literal -1 binary64)) N))

Samples

121.0ms	195×	1	valid
69.0ms	61×	0	valid

Compiler

Compiled 344 to 33 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-div: 65.0ms (44.4% of total)

ival-log1p: 12.0ms (8.2% of total)

ival-add: 12.0ms (8.2% of total)

adjust: 11.0ms (7.5% of total)

ival-sub: 10.0ms (6.8% of total)

ival-pow2: 8.0ms (5.5% of total)

ival-mult: 7.0ms (4.8% of total)

ival-log: 7.0ms (4.8% of total)

const: 6.0ms (4.1% of total)

ival-pow: 4.0ms (2.7% of total)

ival-neg: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series79.0ms (1%)

Memory

6.2MiB live, 92.9MiB allocated

Counts

20 → 240

Calls

Call 1

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

Outputs
#s(alt (* -1 (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log 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) #s(literal -1 binary64)) N)) (patch #s(approx (- (log (+ N 1)) (log 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) #s(literal -1 binary64)) N)) #<representation binary64>) () ())) ())
#s(alt (- N (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log 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) #s(literal -1 binary64)) N)) (patch #s(approx (- (log (+ N 1)) (log 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) #s(literal -1 binary64)) N)) #<representation binary64>) () ())) ())
#s(alt (- (* N (+ 1 (* -1/2 N))) (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log 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) #s(literal -1 binary64)) N)) (patch #s(approx (- (log (+ N 1)) (log 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) #s(literal -1 binary64)) N)) #<representation binary64>) () ())) ())
#s(alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log 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) #s(literal -1 binary64)) N)) (patch #s(approx (- (log (+ N 1)) (log 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) #s(literal -1 binary64)) N)) #<representation binary64>) () ())) ())
#s(alt (/ -1/4 (pow N 4)) (taylor 0 N) (#s(alt (/.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) #s(literal -1 binary64)) N) (patch (/.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) #s(literal -1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/3 N) 1/4) (pow N 4)) (taylor 0 N) (#s(alt (/.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) #s(literal -1 binary64)) N) (patch (/.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) #s(literal -1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) (taylor 0 N) (#s(alt (/.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) #s(literal -1 binary64)) N) (patch (/.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) #s(literal -1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) (taylor 0 N) (#s(alt (/.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) #s(literal -1 binary64)) N) (patch (/.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) #s(literal -1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (/ -1/4 (pow N 3)) (taylor 0 N) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/3 N) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1/4 (pow N 3)) (taylor 0 N) (#s(alt (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) (patch (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/3 N) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) (patch (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #<representation binary64>) () ())) ())
#s(alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) (patch (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #<representation binary64>) () ())) ())
#s(alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) (patch (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #<representation binary64>) () ())) ())
#s(alt (* -1 (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())) ())
#s(alt (- N (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())) ())
#s(alt (- (* N (+ 1 (* -1/2 N))) (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())) ())
#s(alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())) ())
#s(alt (/ 1 N) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) N) (patch (/.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())) ())
#s(alt (/ 1 N) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) N) (patch (/.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())) ())
#s(alt (/ 1 N) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) N) (patch (/.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())) ())
#s(alt (/ 1 N) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) N) (patch (/.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())) ())
#s(alt (* -1 (log N)) (taylor 0 N) (#s(alt (-.f64 (log1p.f64 N) (log.f64 N)) (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt (- N (log N)) (taylor 0 N) (#s(alt (-.f64 (log1p.f64 N) (log.f64 N)) (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt (- (* N (+ 1 (* -1/2 N))) (log N)) (taylor 0 N) (#s(alt (-.f64 (log1p.f64 N) (log.f64 N)) (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) (taylor 0 N) (#s(alt (-.f64 (log1p.f64 N) (log.f64 N)) (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt N (taylor 0 N) (#s(alt (log1p.f64 N) (patch (log1p.f64 N) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (* -1/2 N))) (taylor 0 N) (#s(alt (log1p.f64 N) (patch (log1p.f64 N) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (taylor 0 N) (#s(alt (log1p.f64 N) (patch (log1p.f64 N) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))) (taylor 0 N) (#s(alt (log1p.f64 N) (patch (log1p.f64 N) #<representation binary64>) () ())) ())
#s(alt (log N) (taylor 0 N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (log N) (taylor 0 N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (log N) (taylor 0 N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (log N) (taylor 0 N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (* -1 (log N)) (taylor 0 N) (#s(alt (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))) (patch (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))) #<representation binary64>) () ())) ())
#s(alt (- N (log N)) (taylor 0 N) (#s(alt (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))) (patch (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))) #<representation binary64>) () ())) ())
#s(alt (- (* N (+ 1 (* -1/2 N))) (log N)) (taylor 0 N) (#s(alt (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))) (patch (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))) #<representation binary64>) () ())) ())
#s(alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) (taylor 0 N) (#s(alt (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))) (patch (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))) #<representation binary64>) () ())) ())
#s(alt (pow N 2) (taylor 0 N) (#s(alt (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (* -1 N))) (taylor 0 N) (#s(alt (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1)))) (taylor 0 N) (#s(alt (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1)))) (taylor 0 N) (#s(alt (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (log N)) (taylor 0 N) (#s(alt (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ N (pow (log N) 2))) (/ 1 (log N))) (taylor 0 N) (#s(alt (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* N (- (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N))) (taylor 0 N) (#s(alt (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* N (- (* N (+ (* -1 (* N (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (/ 1 (pow (log N) 3)) (/ 1 (pow (log N) 4)))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N))) (taylor 0 N) (#s(alt (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log N)) (taylor 0 N) (#s(alt (/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (patch (/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (taylor -inf N) (#s(alt (pow.f64 (log.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (taylor -inf N) (#s(alt (pow.f64 (log.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (taylor -inf N) (#s(alt (pow.f64 (log.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (taylor -inf N) (#s(alt (pow.f64 (log.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (taylor -inf N) (#s(alt (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (patch (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (taylor -inf N) (#s(alt (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (patch (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (taylor -inf N) (#s(alt (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (patch (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (taylor -inf N) (#s(alt (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (patch (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (taylor -inf N) (#s(alt (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (patch (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* 2 (/ (log -1) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (/ 1 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (taylor -inf N) (#s(alt (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (patch (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (* 2 (/ (log -1) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (taylor -inf N) (#s(alt (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (patch (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (* 2 (/ (log -1) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (taylor -inf N) (#s(alt (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (patch (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
32.0ms	N	@	inf	((- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (+ (* (pow (log (+ 1 N)) 2) (pow (+ (log N) (log (+ 1 N))) -1)) (neg (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))))) (pow (log (+ 1 N)) 2) (pow (+ (log N) (log (+ 1 N))) -1) (/ (- (* (pow (log (+ 1 N)) 2) (/ (+ (log N) (log (+ 1 N))) (pow (log N) 2))) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (/ (+ (log N) (log (+ 1 N))) (pow (log N) 2)))) (- (* (pow (log (+ 1 N)) 2) (/ (+ (log N) (log (+ 1 N))) (pow (log N) 2))) (+ (log N) (log (+ 1 N)))) (* (pow (log (+ 1 N)) 2) (/ (+ (log N) (log (+ 1 N))) (pow (log N) 2))) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (pow (log N) 2) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) (/ (+ (log N) (log (+ 1 N))) (pow (log N) 2)))
25.0ms	N	@	-inf	((- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (+ (* (pow (log (+ 1 N)) 2) (pow (+ (log N) (log (+ 1 N))) -1)) (neg (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))))) (pow (log (+ 1 N)) 2) (pow (+ (log N) (log (+ 1 N))) -1) (/ (- (* (pow (log (+ 1 N)) 2) (/ (+ (log N) (log (+ 1 N))) (pow (log N) 2))) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (/ (+ (log N) (log (+ 1 N))) (pow (log N) 2)))) (- (* (pow (log (+ 1 N)) 2) (/ (+ (log N) (log (+ 1 N))) (pow (log N) 2))) (+ (log N) (log (+ 1 N)))) (* (pow (log (+ 1 N)) 2) (/ (+ (log N) (log (+ 1 N))) (pow (log N) 2))) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (pow (log N) 2) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) (/ (+ (log N) (log (+ 1 N))) (pow (log N) 2)))
11.0ms	N	@	0	((- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (+ (* (pow (log (+ 1 N)) 2) (pow (+ (log N) (log (+ 1 N))) -1)) (neg (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))))) (pow (log (+ 1 N)) 2) (pow (+ (log N) (log (+ 1 N))) -1) (/ (- (* (pow (log (+ 1 N)) 2) (/ (+ (log N) (log (+ 1 N))) (pow (log N) 2))) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (/ (+ (log N) (log (+ 1 N))) (pow (log N) 2)))) (- (* (pow (log (+ 1 N)) 2) (/ (+ (log N) (log (+ 1 N))) (pow (log N) 2))) (+ (log N) (log (+ 1 N)))) (* (pow (log (+ 1 N)) 2) (/ (+ (log N) (log (+ 1 N))) (pow (log N) 2))) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (pow (log N) 2) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) (/ (+ (log N) (log (+ 1 N))) (pow (log N) 2)))

Time

Variable

Point

Expression

32.0ms

inf

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

25.0ms

-inf

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

11.0ms

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

simplify220.0ms (2.7%)

Memory

-28.0MiB live, 285.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	870	8409
1	2829	7807
0	8237	7427

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 239

Calls

Call 1

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

rewrite295.0ms (3.6%)

Memory

21.5MiB live, 210.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	229
0	61	174
1	288	174
2	2300	174
0	8844	174

Stop Event

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

Counts

20 → 1 367

Calls

Call 1

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

Outputs
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eval367.0ms (4.5%)

Memory: 0.1MiB live, 632.4MiB allocated
Compiler: Compiled 94 183 to 5 972 computations (93.7% saved)

prune123.0ms (1.5%)

Memory

30.4MiB live, 223.2MiB allocated

Pruning

41 alts after pruning (39 fresh and 2 done)

	Pruned	Kept	Total
New	2 249	27	2 276
Fresh	6	12	18
Picked	3	2	5
Done	0	0	0
Total	2 258	41	2 299

Accuracy

99.8%

Counts

2 299 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.1%	(fma.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
	27.0%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	27.3%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
	27.1%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶	25.5%	(fma.f64 (log.f64 N) (/.f64 (log.f64 N) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
	26.6%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal -2 binary64))))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))))
	25.6%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	25.5%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))) (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	25.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))
	25.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.7%	(/.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 N) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 N)) (log1p.f64 N)))))
	26.1%	(/.f64 (-.f64 (-.f64 (.f64 (.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log1p.f64 N)) (log.f64 N)) (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))
	25.6%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (fma.f64 N N (neg.f64 N))))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	25.4%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	26.6%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (exp.f64 (neg.f64 (fma.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64) (.f64 (log.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal -1 binary64)))))) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	25.4%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) (.f64 (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (log.f64 N) (log1p.f64 N))))) (.f64 (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	25.4%	(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))) (.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
	25.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) (.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 1 binary64))) (.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	25.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
▶	25.5%	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
	95.8%	(/.f64 #s(approx (- (* (pow (log (+ 1 N)) 2) (/ (+ (log N) (log (+ 1 N))) (pow (log N) 2))) (+ (log N) (log (+ 1 N)))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 11/12 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) N) (/.f64 (+.f64 (log.f64 N) #s(literal -1 binary64)) (log.f64 N)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) (log.f64 N)) (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 N) #s(literal -1 binary64)) (.f64 N N)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (neg.f64 (log.f64 N)) N) N)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N) N))))))) #s(literal 4 binary64)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 N #s(literal 3 binary64))) (neg.f64 (log.f64 N))) (/.f64 (/.f64 #s(literal 2 binary64) N) (neg.f64 (log.f64 N)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) N)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
✓	25.6%	(-.f64 (log1p.f64 N) (log.f64 N))
	24.8%	(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N (neg.f64 N))))
	25.6%	(.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
	28.9%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
▶	28.2%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	25.6%	(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N N) (*.f64 N N)))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (neg.f64 (neg.f64 N)) (.f64 N N)) (.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	96.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
	96.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	92.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
	95.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) N))
▶	96.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64)))))
✓	83.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	96.1%	#s(approx (- (log (+ N 1)) (log 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) N) (/.f64 #s(literal -1 binary64) N)))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.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) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
	91.6%	#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (*.f64 (log.f64 (/.f64 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) #s(literal -1 binary64)))) #s(literal -1 binary64))))
	95.7%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))

Compiler

Compiled 2 477 to 1 158 computations (53.2% saved)

simplify100.0ms (1.2%)

Memory

-8.3MiB live, 74.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
cost-diff	0	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
cost-diff	0	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
cost-diff	6080	(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
cost-diff	0	(neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))
cost-diff	0	(/.f64 (log.f64 N) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
cost-diff	0	(log.f64 N)
cost-diff	0	(fma.f64 (log.f64 N) (/.f64 (log.f64 N) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
cost-diff	0	(+.f64 #s(literal 1 binary64) N)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) N) N)
cost-diff	0	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
cost-diff	0	#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
cost-diff	0	(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
cost-diff	0	(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
cost-diff	0	(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))
cost-diff	0	(/.f64 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) #s(literal -1 binary64)))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	409
0	90	405
1	138	405
2	240	397
3	458	397
4	1101	397
5	3552	397
6	6878	397
0	8331	397

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 (/.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 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64))))
#s(literal 1 binary64)
(/.f64 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) #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) #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)
#s(literal 1/3 binary64)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)
(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
(/.f64 #s(literal -1/2 binary64) N)
#s(literal -1/2 binary64)
N
#s(literal -1 binary64)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
(fma.f64 (log.f64 N) (/.f64 (log.f64 N) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
(log.f64 N)
N
(/.f64 (log.f64 N) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))
(+.f64 (log.f64 N) (log1p.f64 N))
(log1p.f64 N)
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (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 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
(log1p.f64 N)
N
#s(literal 6 binary64)
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(log.f64 N)
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))
(+.f64 (log.f64 N) (log1p.f64 N))
#s(literal -1 binary64)
(+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
(*.f64 (log.f64 N) (log1p.f64 N))
#s(literal 2 binary64)

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

localize273.0ms (3.3%)

Memory

-19.2MiB live, 382.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.9375881349487319	(pow.f64 (log.f64 N) #s(literal 4 binary64))
accuracy	1.185642296524361	(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
accuracy	1.2341512562922985	(pow.f64 (log.f64 N) #s(literal 6 binary64))
accuracy	46.529258314595424	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
accuracy	0.17025375976844204	(/.f64 (log.f64 N) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
accuracy	0.43978500976844204	(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))
accuracy	0.526386279305326	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	47.27589110268653	(fma.f64 (log.f64 N) (/.f64 (log.f64 N) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
accuracy	0	(/.f64 (+.f64 #s(literal 1 binary64) N) N)
accuracy	0	(+.f64 #s(literal 1 binary64) N)
accuracy	45.95529978018302	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
accuracy	0	(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
accuracy	0.0625	(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)
accuracy	2.391767744698251	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
accuracy	10.876094635110467	#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
accuracy	0.07421875	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
accuracy	0.18359375	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.2890625	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.391767744698251	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64)))))

Samples

175.0ms	195×	1	valid
22.0ms	61×	0	valid

Compiler

Compiled 416 to 46 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-div: 27.0ms (17.1% of total)

adjust: 25.0ms (15.9% of total)

ival-pow: 22.0ms (14% of total)

ival-pow2: 19.0ms (12.1% of total)

ival-log: 16.0ms (10.1% of total)

ival-log1p: 12.0ms (7.6% of total)

ival-sub: 10.0ms (6.3% of total)

ival-add: 9.0ms (5.7% of total)

ival-mult: 8.0ms (5.1% of total)

const: 7.0ms (4.4% of total)

ival-neg: 2.0ms (1.3% of total)

exact: 1.0ms (0.6% of total)

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

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

series139.0ms (1.7%)

Memory

4.7MiB live, 89.7MiB allocated

Counts

26 → 312

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64))))) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 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) #s(literal -1 binary64))) (patch (/.f64 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) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) (patch (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) (patch (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) (patch #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) N) N) (patch (/.f64 (+.f64 #s(literal 1 binary64) N) N) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) N) (patch (+.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())
#s(alt (fma.f64 (log.f64 N) (/.f64 (log.f64 N) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) (patch (fma.f64 (log.f64 N) (/.f64 (log.f64 N) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) #<representation binary64>) () ())
#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 N) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (patch (/.f64 (log.f64 N) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) #<representation binary64>) () ())
#s(alt (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (patch (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (patch (.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (patch (/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (patch (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) (patch (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (patch (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) (patch (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #<representation binary64>) () ())
#s(alt (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (patch (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 N) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 N) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 4 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ -1/4 (pow N 4)) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/3 N) 1/4) (pow N 4)) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (- N (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64))))) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (* N (+ 1 (* -1/2 N))) (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64))))) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64))))) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -4 (pow N 4)) (taylor 0 N) (#s(alt (/.f64 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) #s(literal -1 binary64))) (patch (/.f64 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) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 4) (- (* -16/3 N) 4)) (taylor 0 N) (#s(alt (/.f64 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) #s(literal -1 binary64))) (patch (/.f64 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) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4)) (taylor 0 N) (#s(alt (/.f64 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) #s(literal -1 binary64))) (patch (/.f64 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) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4)) (taylor 0 N) (#s(alt (/.f64 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) #s(literal -1 binary64))) (patch (/.f64 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) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1/4 (pow N 3)) (taylor 0 N) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/3 N) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) #<representation binary64>) () ())) ())
#s(alt (- N (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) #<representation binary64>) () ())) ())
#s(alt (- (* N (+ 1 (* -1/2 N))) (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) #<representation binary64>) () ())) ())
#s(alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) #<representation binary64>) () ())) ())
#s(alt (/ -1/4 (pow N 4)) (taylor 0 N) (#s(alt (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) (patch (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/3 N) 1/4) (pow N 4)) (taylor 0 N) (#s(alt (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) (patch (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) (taylor 0 N) (#s(alt (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) (patch (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) (taylor 0 N) (#s(alt (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) (patch (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (/ -1/4 (pow N 3)) (taylor 0 N) (#s(alt (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) (patch (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/3 N) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) (patch (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) (patch (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) (patch (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1/4 (pow N 3)) (taylor 0 N) (#s(alt #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) (patch #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/3 N) 1/4) (pow N 3)) (taylor 0 N) (#s(alt #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) (patch #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) (taylor 0 N) (#s(alt #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) (patch #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log N)) (taylor 0 N) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (taylor 0 N) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #<representation binary64>) () ())) ())
#s(alt (/ 1 N) (taylor 0 N) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) N) N) (patch (/.f64 (+.f64 #s(literal 1 binary64) N) N) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 N) N) (taylor 0 N) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) N) N) (patch (/.f64 (+.f64 #s(literal 1 binary64) N) N) #<representation binary64>) () ())) ())
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#s(alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6) (taylor -inf N) (#s(alt (pow.f64 (log.f64 N) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (taylor -inf N) (#s(alt (pow.f64 (log.f64 N) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (taylor -inf N) (#s(alt (pow.f64 (log.f64 N) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (taylor -inf N) (#s(alt (pow.f64 (log.f64 N) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (taylor -inf N) (#s(alt (pow.f64 (log.f64 N) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 4 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

54.0ms

inf

((/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (- (log (+ N 1)) (log N)) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ 1 N) (+ (* (log N) (/ (log N) (neg (+ (log N) (log (+ 1 N)))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N))))) (log N) (/ (log N) (neg (+ (log N) (log (+ 1 N))))) (neg (+ (log N) (log (+ 1 N)))) (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (/ (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (+ (pow (log (+ 1 N)) 4) (pow (log N) 4)) (pow (* (log N) (log (+ 1 N))) 2))) (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (log (+ 1 N)) 6) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (pow (log (+ 1 N)) 2) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (log N) 6) (pow (log N) 4))

26.0ms

-inf

((/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (- (log (+ N 1)) (log N)) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ 1 N) (+ (* (log N) (/ (log N) (neg (+ (log N) (log (+ 1 N)))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N))))) (log N) (/ (log N) (neg (+ (log N) (log (+ 1 N))))) (neg (+ (log N) (log (+ 1 N)))) (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (/ (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (+ (pow (log (+ 1 N)) 4) (pow (log N) 4)) (pow (* (log N) (log (+ 1 N))) 2))) (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (log (+ 1 N)) 6) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (pow (log (+ 1 N)) 2) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (log N) 6) (pow (log N) 4))

14.0ms

((/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (- (log (+ N 1)) (log N)) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ 1 N) (+ (* (log N) (/ (log N) (neg (+ (log N) (log (+ 1 N)))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N))))) (log N) (/ (log N) (neg (+ (log N) (log (+ 1 N))))) (neg (+ (log N) (log (+ 1 N)))) (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (/ (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (+ (pow (log (+ 1 N)) 4) (pow (log N) 4)) (pow (* (log N) (log (+ 1 N))) 2))) (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (log (+ 1 N)) 6) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (pow (log (+ 1 N)) 2) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (log N) 6) (pow (log N) 4))

simplify348.0ms (4.2%)

Memory

18.6MiB live, 208.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1100	15094
1	3790	13964
0	9400	13281

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 308

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 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(* -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))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 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 (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 N) N)
(/ (+ 1 N) N)
(/ (+ 1 N) N)
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* N (+ (* -1 (+ 1/2 (/ 1 (log N)))) (/ 1 (log N)))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (+ (* -1 (+ 1/2 (/ 1 (log N)))) (+ (* 1/3 N) (/ 1 (log N))))))))
(log N)
(log N)
(log N)
(log N)
-1
(- (/ N (log N)) 1)
(- (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) 1)
(- (* N (+ (* N (+ (* -1 (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2)))) (* N (+ (* 1/3 (/ 1 (log N))) (+ (/ 1 (pow (log N) 2)) (/ 1 (pow (log N) 3))))))) (/ 1 (log N)))) 1)
(* -1 (log N))
(- (* -1 N) (log N))
(- (* N (- (* 1/2 N) 1)) (log N))
(- (* N (- (* N (+ 1/2 (* -1/3 N))) 1)) (log N))
(* -1 (pow (log N) 5))
(+ (* -1 (pow (log N) 5)) (* N (pow (log N) 4)))
(+ (* -1 (pow (log N) 5)) (* N (- (* -1 (* N (+ (* 1/2 (pow (log N) 4)) (pow (log N) 3)))) (* -1 (pow (log N) 4)))))
(+ (* -1 (pow (log N) 5)) (* N (- (* N (- (* -1 (* N (+ (* -1 (/ (+ (* 1/2 (pow (log N) 4)) (pow (log N) 3)) (log N))) (+ (* -1/2 (pow (log N) 3)) (* -1/3 (pow (log N) 4)))))) (+ (* 1/2 (pow (log N) 4)) (pow (log N) 3)))) (* -1 (pow (log N) 4)))))
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 4))) (/ 1 (log N))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 4))) (/ 1 (log N))) (log N))) (+ (* -1 (/ (+ (* -1 (pow (log N) 3)) (+ (* 1/3 (pow (log N) 4)) (pow (log N) 2))) (pow (log N) 4))) (/ 1 (pow (log N) 2)))))) (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 4))) (/ 1 (log N))))))))
(* -1 (pow (log N) 6))
(- (pow N 6) (pow (log N) 6))
(- (* (pow N 6) (+ 1 (* -3 N))) (pow (log N) 6))
(- (* (pow N 6) (+ 1 (* N (- (* 23/4 N) 3)))) (pow (log N) 6))
(pow N 6)
(* (pow N 6) (+ 1 (* -3 N)))
(* (pow N 6) (+ 1 (* N (- (* 23/4 N) 3))))
(* (pow N 6) (+ 1 (* N (- (* N (+ 23/4 (* -9 N))) 3))))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ -1/4 (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))
(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 N 2) (log N))
(* (pow N 2) (+ (* -1 (* N (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 11/12 (/ 1 (log N)))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (+ (* 11/12 (/ 1 (log N))) (* N (- (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))) (+ (* 5/6 (/ 1 (log N))) (* 11/12 (/ 1 (pow (log N) 2))))))))))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(pow (log N) 6)
(pow (log N) 6)
(pow (log N) 6)
(pow (log N) 6)
(pow (log N) 4)
(pow (log N) 4)
(pow (log N) 4)
(pow (log 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))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
N
(* 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))))
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ -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 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
1
(+ 1 (/ 1 N))
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N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(+ (* -1/2 (log (/ 1 N))) (* 1/2 (log (/ 1 N))))
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(- (+ (* -1 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (pow N 2))) (+ (* -1 (/ (- (* 1/16 (/ 1 (log (/ 1 N)))) (+ 1/12 (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (pow N 3))) (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/2 (log (/ 1 N))) (+ (/ 1/8 (pow N 2)) (+ (/ 1 N) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 3/16 (* (pow N 3) (log (/ 1 N)))) (* 1/12 (/ 1 (pow N 3))))))
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
-1/2
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(+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1/2 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) N)) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)

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 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(* -4 (pow N 4))
(*.f64 #s(literal -4 binary64) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (- (* -16/3 N) 4))
(*.f64 (fma.f64 #s(literal -16/3 binary64) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(*.f64 (fma.f64 (fma.f64 #s(literal 8/9 binary64) N #s(literal -16/3 binary64)) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -112/27 binary64) N #s(literal 8/9 binary64)) N #s(literal -16/3 binary64)) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (log N))
(neg.f64 (log.f64 N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (+ 1 N) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(/ (+ 1 N) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(/ (+ 1 N) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
1
#s(literal 1 binary64)
(+ 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 (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* N (+ (* -1 (+ 1/2 (/ 1 (log N)))) (/ 1 (log N)))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1/2 binary64))) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(+ (* -1 (log N)) (* N (+ 1 (* N (+ (* -1 (+ 1/2 (/ 1 (log N)))) (+ (* 1/3 N) (/ 1 (log N))))))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) N (/.f64 #s(literal 1 binary64) (log.f64 N))) (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1/2 binary64))) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(log N)
(log.f64 N)
(log N)
(log.f64 N)
(log N)
(log.f64 N)
(log N)
(log.f64 N)
-1
#s(literal -1 binary64)
(- (/ N (log N)) 1)
(-.f64 (/.f64 N (log.f64 N)) #s(literal 1 binary64))
(- (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) 1)
(fma.f64 (fma.f64 (neg.f64 N) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 N))) (/.f64 #s(literal 1 binary64) (log.f64 N))) N #s(literal -1 binary64))
(- (* N (+ (* N (+ (* -1 (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2)))) (* N (+ (* 1/3 (/ 1 (log N))) (+ (/ 1 (pow (log N) 2)) (/ 1 (pow (log N) 3))))))) (/ 1 (log N)))) 1)
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 1/3 binary64) (log.f64 N))) N (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 N))))) N (/.f64 #s(literal 1 binary64) (log.f64 N))) N #s(literal -1 binary64))
(* -1 (log N))
(neg.f64 (log.f64 N))
(- (* -1 N) (log N))
(neg.f64 (+.f64 N (log.f64 N)))
(- (* N (- (* 1/2 N) 1)) (log N))
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1 binary64)) N) (log.f64 N))
(- (* N (- (* N (+ 1/2 (* -1/3 N))) 1)) (log N))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/2 binary64)) N #s(literal -1 binary64)) N) (log.f64 N))
(* -1 (pow (log N) 5))
(neg.f64 (pow.f64 (log.f64 N) #s(literal 5 binary64)))
(+ (* -1 (pow (log N) 5)) (* N (pow (log N) 4)))
(fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) N (neg.f64 (pow.f64 (log.f64 N) #s(literal 5 binary64))))
(+ (* -1 (pow (log N) 5)) (* N (- (* -1 (* N (+ (* 1/2 (pow (log N) 4)) (pow (log N) 3)))) (* -1 (pow (log N) 4)))))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (neg.f64 N) (pow.f64 (log.f64 N) #s(literal 4 binary64))) N (neg.f64 (pow.f64 (log.f64 N) #s(literal 5 binary64))))
(+ (* -1 (pow (log N) 5)) (* N (- (* N (- (* -1 (* N (+ (* -1 (/ (+ (* 1/2 (pow (log N) 4)) (pow (log N) 3)) (log N))) (+ (* -1/2 (pow (log N) 3)) (* -1/3 (pow (log N) 4)))))) (+ (* 1/2 (pow (log N) 4)) (pow (log N) 3)))) (* -1 (pow (log N) 4)))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (log.f64 N))) N (fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) N (pow.f64 (log.f64 N) #s(literal 4 binary64))) N (neg.f64 (pow.f64 (log.f64 N) #s(literal 5 binary64))))
(* -1 (log N))
(neg.f64 (log.f64 N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 4))) (/ 1 (log N))))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (neg.f64 N) #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 4))) (/ 1 (log N))) (log N))) (+ (* -1 (/ (+ (* -1 (pow (log N) 3)) (+ (* 1/3 (pow (log N) 4)) (pow (log N) 2))) (pow (log N) 4))) (/ 1 (pow (log N) 2)))))) (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 4))) (/ 1 (log N))))))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 N)) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (log.f64 N)))) N (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 4 binary64)))))) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(* -1 (pow (log N) 6))
(neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(- (pow N 6) (pow (log N) 6))
(-.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(- (* (pow N 6) (+ 1 (* -3 N))) (pow (log N) 6))
(-.f64 (*.f64 (fma.f64 #s(literal -3 binary64) N #s(literal 1 binary64)) (pow.f64 N #s(literal 6 binary64))) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(- (* (pow N 6) (+ 1 (* N (- (* 23/4 N) 3)))) (pow (log N) 6))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 23/4 binary64) N #s(literal -3 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 6 binary64))) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(pow N 6)
(pow.f64 N #s(literal 6 binary64))
(* (pow N 6) (+ 1 (* -3 N)))
(*.f64 (fma.f64 #s(literal -3 binary64) N #s(literal 1 binary64)) (pow.f64 N #s(literal 6 binary64)))
(* (pow N 6) (+ 1 (* N (- (* 23/4 N) 3))))
(*.f64 (fma.f64 (fma.f64 #s(literal 23/4 binary64) N #s(literal -3 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 6 binary64)))
(* (pow N 6) (+ 1 (* N (- (* N (+ 23/4 (* -9 N))) 3))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) N #s(literal 23/4 binary64)) N #s(literal -3 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 6 binary64)))
(/ 1/4 (pow N 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))
(/ 1/4 N)
(/.f64 #s(literal 1/4 binary64) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (* -1 N)))
(.f64 (-.f64 #s(literal 1 binary64) N) (.f64 N N))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
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(fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) N) #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(-.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 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64)) N)) (neg.f64 N))) N))
(/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))
(/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) N))
(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -2 binary64) (fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) N) #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))) N))
(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1/2 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) N)) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -2 binary64) (fma.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) N)) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) N) #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))) N))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))

rewrite245.0ms (3%)

Memory

0.5MiB live, 157.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	311
0	90	306
1	382	282
2	2846	282
0	8744	282

Stop Event

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

Counts

26 → 730

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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) #s(literal -1 binary64)))))
(/.f64 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) #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)) N) #s(literal -1 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)
(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(+.f64 #s(literal 1 binary64) N)
(fma.f64 (log.f64 N) (/.f64 (log.f64 N) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
(log.f64 N)
(/.f64 (log.f64 N) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N))))
(neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.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)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 6 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 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(pow.f64 (log.f64 N) #s(literal 4 binary64))

Outputs
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eval309.0ms (3.7%)

Memory: -19.9MiB live, 148.5MiB allocated
Compiler: Compiled 42 113 to 4 300 computations (89.8% saved)

prune101.0ms (1.2%)

Memory

-0.3MiB live, 89.7MiB allocated

Pruning

40 alts after pruning (35 fresh and 5 done)

	Pruned	Kept	Total
New	1 149	15	1 164
Fresh	14	20	34
Picked	2	3	5
Done	0	2	2
Total	1 165	40	1 205

Accuracy

99.9%

Counts

1 205 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.1%	(fma.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
	27.0%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
▶	27.3%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))))
	27.1%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
✓	25.5%	(fma.f64 (log.f64 N) (/.f64 (log.f64 N) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
	26.0%	(fma.f64 (log.f64 N) (/.f64 (log.f64 N) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	25.4%	(fma.f64 (log.f64 N) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (log.f64 N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
	27.6%	(/.f64 (fma.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
	26.6%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal -2 binary64))))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))))
	25.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.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)))))
	25.6%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
▶	25.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))
	25.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.7%	(/.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 N) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 N)) (log1p.f64 N)))))
	26.1%	(/.f64 (-.f64 (-.f64 (.f64 (.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log1p.f64 N)) (log.f64 N)) (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))
	25.6%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (fma.f64 N N (neg.f64 N))))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	25.4%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	25.4%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) (.f64 (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (log.f64 N) (log1p.f64 N))))) (.f64 (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	25.5%	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (exp.f64 (.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
	95.4%	(/.f64 (.f64 #s(approx (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (/.f64 (fma.f64 (.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) N) (/.f64 #s(literal -2 binary64) N) (fma.f64 (.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) N)) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 (-.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (fma.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (pow.f64 N #s(literal 3 binary64))) #s(literal -2 binary64) (fma.f64 (.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 N #s(literal 3 binary64)))) #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))))) N) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N) (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64))) N))))))) N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
✓	25.6%	(-.f64 (log1p.f64 N) (log.f64 N))
	24.8%	(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N (neg.f64 N))))
	25.6%	(.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
	28.9%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))
✓	28.2%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	25.6%	(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N N) (*.f64 N N)))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (neg.f64 (neg.f64 N)) (.f64 N N)) (.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	96.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	92.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
▶	96.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)))))
	93.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))))
▶	96.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (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) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))
✓	83.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.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) #s(literal -1 binary64)))))
▶	3.3%	#s(approx (+ (* (log N) (/ (log N) (neg (+ (log N) (log (+ 1 N)))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N))))) #s(literal 0 binary64))

Compiler

Compiled 2 332 to 1 113 computations (52.3% saved)

simplify173.0ms (2.1%)

Memory

0.8MiB live, 157.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (log.f64 N) #s(literal 6 binary64))
cost-diff	0	(log1p.f64 N)
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
cost-diff	0	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 N) (log.f64 N)))
cost-diff	0	(log.f64 N)
cost-diff	0	(pow.f64 (log.f64 N) #s(literal 2 binary64))
cost-diff	192	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))))
cost-diff	0	(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64))
cost-diff	0	(/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64))))
cost-diff	0	#s(approx (+ (* (log N) (/ (log N) (neg (+ (log N) (log (+ 1 N)))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N))))) #s(literal 0 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (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) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (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) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))))
cost-diff	192	(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) #s(literal -1 binary64) #s(literal -1 binary64))
cost-diff	1152	(*.f64 (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) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	76	583
0	120	578
1	210	578
2	420	567
3	1020	563
4	2702	547
0	8407	547

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

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

localize387.0ms (4.7%)

Memory

7.5MiB live, 281.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.9313968751802899	(pow.f64 (log.f64 N) #s(literal 4 binary64))
accuracy	1.179451036755919	(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
accuracy	1.2279599965238566	(pow.f64 (log.f64 N) #s(literal 6 binary64))
accuracy	46.28721098738697	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
accuracy	0.43587875976844204	(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N)))
accuracy	0.522480029305326	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.545253759768442	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	46.10145713784887	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))))
accuracy	0.07421875	(/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N)
accuracy	0.328125	(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))
accuracy	0.3359375	(fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))
accuracy	2.391767744698251	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)))))
accuracy	61.658580131442484	#s(approx (+ (* (log N) (/ (log N) (neg (+ (log N) (log (+ 1 N)))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N))))) #s(literal 0 binary64))
accuracy	0.2890625	(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)
accuracy	0.359375	(/.f64 #s(literal 1/24 binary64) N)
accuracy	2.372134546764547	#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (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) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
accuracy	2.391767744698251	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (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) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))))

Samples

220.0ms	194×	1	valid
67.0ms	61×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 493 to 64 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 245.0ms

ival-div: 96.0ms (39.2% of total)

adjust: 24.0ms (9.8% of total)

ival-mult: 23.0ms (9.4% of total)

ival-add: 22.0ms (9% of total)

const: 19.0ms (7.8% of total)

ival-sub: 14.0ms (5.7% of total)

ival-pow: 14.0ms (5.7% of total)

ival-pow2: 12.0ms (4.9% of total)

ival-log1p: 9.0ms (3.7% of total)

ival-log: 7.0ms (2.9% of total)

ival-neg: 3.0ms (1.2% of total)

exact: 1.0ms (0.4% of total)

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

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

series93.0ms (1.1%)

Memory

13.3MiB live, 58.3MiB allocated

Counts

26 → 312

Calls

Call 1

Inputs
#s(alt (.f64 (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) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) (patch (.f64 (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) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) #<representation binary64>) () ())
#s(alt (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) #s(literal -1 binary64) #s(literal -1 binary64)) (patch (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) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (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) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (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) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (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) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (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) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (log N) (/ (log N) (neg (+ (log N) (log (+ 1 N)))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N))))) #s(literal 0 binary64)) (patch #s(approx (+ (* (log N) (/ (log N) (neg (+ (log N) (log (+ 1 N)))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N))))) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (.f64 N N)))) N) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (.f64 N N)))) N) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (.f64 N N)))) N) #s(literal -1 binary64))))) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (.f64 N N)))) N) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (.f64 N N)))) N) #s(literal -1 binary64))) (patch (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (.f64 N N)))) N) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (.f64 N N)))) N) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (.f64 N N)))) N) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N)))) (patch (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N)))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 N) (log.f64 N))) (patch (/.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 N) (log.f64 N))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (patch (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) #<representation binary64>) () ())
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#s(alt (log1p.f64 N) (patch (log1p.f64 N) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 N) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (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) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (patch #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (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) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/24 binary64) N) (patch (/.f64 #s(literal 1/24 binary64) N) #<representation binary64>) () ())
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#s(alt (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (.f64 N N)) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (.f64 N N)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (.f64 N N)))) N) (patch (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (.f64 N N)))) N) #<representation binary64>) () ())
#s(alt (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (patch (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 N) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 4 binary64)) #<representation binary64>) () ())

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

Calls

3 calls:

Time

Variable

Point

Expression

58.0ms

inf

((* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (+ (* (log N) (/ (log N) (neg (+ (log N) (log (+ 1 N)))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N))))) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (- (log (+ N 1)) (log N)) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (+ (* (pow (log N) 2) (/ -1 (+ (log (+ 1 N)) (log N)))) (/ (pow (log (+ 1 N)) 2) (+ (log (+ 1 N)) (log N)))) (pow (log N) 2) (log N) (/ -1 (+ (log (+ 1 N)) (log N))) (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (log (+ 1 N)) 6) (log (+ 1 N)) (pow (log N) 6) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ 1/24 N) (/ (- 1/12 (/ 1/24 N)) N) (+ (* -1/3 N) 1/4) (/ (+ (* -1/3 N) 1/4) (* N N)) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (pow (log (+ 1 N)) 2) (/ (pow (log (+ 1 N)) 2) (+ (log (+ 1 N)) (log N))) (pow (log N) 4))

10.0ms

-inf

((* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (+ (* (log N) (/ (log N) (neg (+ (log N) (log (+ 1 N)))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N))))) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (- (log (+ N 1)) (log N)) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (+ (* (pow (log N) 2) (/ -1 (+ (log (+ 1 N)) (log N)))) (/ (pow (log (+ 1 N)) 2) (+ (log (+ 1 N)) (log N)))) (pow (log N) 2) (log N) (/ -1 (+ (log (+ 1 N)) (log N))) (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (log (+ 1 N)) 6) (log (+ 1 N)) (pow (log N) 6) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ 1/24 N) (/ (- 1/12 (/ 1/24 N)) N) (+ (* -1/3 N) 1/4) (/ (+ (* -1/3 N) 1/4) (* N N)) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (pow (log (+ 1 N)) 2) (/ (pow (log (+ 1 N)) 2) (+ (log (+ 1 N)) (log N))) (pow (log N) 4))

9.0ms

((* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (+ (* (log N) (/ (log N) (neg (+ (log N) (log (+ 1 N)))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N))))) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (- (log (+ N 1)) (log N)) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (+ (* (pow (log N) 2) (/ -1 (+ (log (+ 1 N)) (log N)))) (/ (pow (log (+ 1 N)) 2) (+ (log (+ 1 N)) (log N)))) (pow (log N) 2) (log N) (/ -1 (+ (log (+ 1 N)) (log N))) (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (log (+ 1 N)) 6) (log (+ 1 N)) (pow (log N) 6) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ 1/24 N) (/ (- 1/12 (/ 1/24 N)) N) (+ (* -1/3 N) 1/4) (/ (+ (* -1/3 N) 1/4) (* N N)) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (pow (log (+ 1 N)) 2) (/ (pow (log (+ 1 N)) 2) (+ (log (+ 1 N)) (log N))) (pow (log N) 4))

simplify271.0ms (3.3%)

Memory

1.3MiB live, 231.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	752	7688
1	2346	6596
0	8265	6371

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 305

Calls

Call 1

Inputs
(/ 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))
(/ -1/24 (pow N 3))
(/ (- (* 1/12 N) 1/24) (pow N 3))
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(+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1/2 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) N)) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)

Outputs
(/ 1/24 (pow N 2))
(/.f64 (/.f64 #s(literal 1/24 binary64) N) N)
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) N #s(literal 1/24 binary64)) N) N)
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N)
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N)
(/ -1/24 (pow N 3))
(/.f64 #s(literal -1/24 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/12 N) 1/24) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/12 binary64) N #s(literal -1/24 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/12 binary64)) N #s(literal -1/24 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 3))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1/2 binary64)) N #s(literal 1/12 binary64)) N #s(literal -1/24 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N))
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* -1 (log N))
(neg.f64 (log.f64 N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* N (+ (* -1 (+ 1/2 (/ 1 (log N)))) (/ 1 (log N)))))))
(-.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1/2 binary64)) N (/.f64 N (log.f64 N))) N N) (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* N (+ (* -1 (+ 1/2 (/ 1 (log N)))) (+ (* 1/3 N) (/ 1 (log N))))))))
(-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N (+.f64 (/.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1/2 binary64))) N (/.f64 N (log.f64 N))) N N) (log.f64 N))
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N))
(* -4 (pow N 4))
(*.f64 #s(literal -4 binary64) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (- (* -16/3 N) 4))
(*.f64 (fma.f64 #s(literal -16/3 binary64) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(*.f64 (fma.f64 (fma.f64 #s(literal 8/9 binary64) N #s(literal -16/3 binary64)) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -112/27 binary64) N #s(literal 8/9 binary64)) N #s(literal -16/3 binary64)) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (log N))
(neg.f64 (log.f64 N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* N (+ (* -1 (+ 1/2 (/ 1 (log N)))) (/ 1 (log N)))))))
(-.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1/2 binary64)) N (/.f64 N (log.f64 N))) N N) (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* N (+ (* -1 (+ 1/2 (/ 1 (log N)))) (+ (* 1/3 N) (/ 1 (log N))))))))
(-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N (+.f64 (/.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1/2 binary64))) N (/.f64 N (log.f64 N))) N N) (log.f64 N))
(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))
(log N)
(log.f64 N)
(log N)
(log.f64 N)
(log N)
(log.f64 N)
(log N)
(log.f64 N)
(/ -1 (log N))
(/.f64 #s(literal -1 binary64) (log.f64 N))
(- (/ N (pow (log N) 2)) (/ 1 (log N)))
(-.f64 (/.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 N)))
(- (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (fma.f64 (/.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 N (pow.f64 (log.f64 N) #s(literal 3 binary64))))) N (/.f64 #s(literal -1 binary64) (log.f64 N)))
(- (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (pow (log N) 3)))) (* -1 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 N))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) N (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N (/.f64 #s(literal -1 binary64) (log.f64 N)))
(* -1 (pow (log N) 6))
(neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(- (pow N 6) (pow (log N) 6))
(-.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(- (* (pow N 6) (+ 1 (* -3 N))) (pow (log N) 6))
(-.f64 (*.f64 (fma.f64 #s(literal -3 binary64) N #s(literal 1 binary64)) (pow.f64 N #s(literal 6 binary64))) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(- (* (pow N 6) (+ 1 (* N (- (* 23/4 N) 3)))) (pow (log N) 6))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 23/4 binary64) N #s(literal -3 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 6 binary64))) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(pow N 6)
(pow.f64 N #s(literal 6 binary64))
(* (pow N 6) (+ 1 (* -3 N)))
(*.f64 (fma.f64 #s(literal -3 binary64) N #s(literal 1 binary64)) (pow.f64 N #s(literal 6 binary64)))
(* (pow N 6) (+ 1 (* N (- (* 23/4 N) 3))))
(*.f64 (fma.f64 (fma.f64 #s(literal 23/4 binary64) N #s(literal -3 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 6 binary64)))
(* (pow N 6) (+ 1 (* N (- (* N (+ 23/4 (* -9 N))) 3))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) N #s(literal 23/4 binary64)) N #s(literal -3 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 6 binary64)))
N
(* N (+ 1 (* -1/2 N)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N)
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N)
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N)
(pow (log N) 6)
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(pow (log N) 6)
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(pow (log N) 6)
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(pow (log N) 6)
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(* -4 (pow N 4))
(*.f64 #s(literal -4 binary64) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (- (* -16/3 N) 4))
(*.f64 (fma.f64 #s(literal -16/3 binary64) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(*.f64 (fma.f64 (fma.f64 #s(literal 8/9 binary64) N #s(literal -16/3 binary64)) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -112/27 binary64) N #s(literal 8/9 binary64)) N #s(literal -16/3 binary64)) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ 1/24 N)
(/.f64 #s(literal 1/24 binary64) N)
(/ 1/24 N)
(/.f64 #s(literal 1/24 binary64) N)
(/ 1/24 N)
(/.f64 #s(literal 1/24 binary64) N)
(/ 1/24 N)
(/.f64 #s(literal 1/24 binary64) N)
(/ -1/24 (pow N 2))
(/.f64 #s(literal -1/24 binary64) (*.f64 N N))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) N #s(literal -1/24 binary64)) N) N)
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) N #s(literal -1/24 binary64)) N) N)
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) N #s(literal -1/24 binary64)) N) N)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/3 N))
(fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))
(+ 1/4 (* -1/3 N))
(fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))
(+ 1/4 (* -1/3 N))
(fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))
(/ 1/4 (pow N 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N)
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N)
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N)
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (* -1 N)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) N) N) N)
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 11/12 binary64) N #s(literal -1 binary64)) N #s(literal 1 binary64)) N) N)
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/6 binary64) N #s(literal 11/12 binary64)) N #s(literal -1 binary64)) N #s(literal 1 binary64)) N) N)
(/ (pow N 2) (log N))
(*.f64 (/.f64 N (log.f64 N)) N)
(* (pow N 2) (+ (* -1 (* N (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (+.f64 (/.f64 N (log.f64 N)) (/.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 N N))
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(/ 1/24 N)
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(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
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(+ (* -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))
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(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64)) N)) (neg.f64 N))) N))
(/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))
(/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.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)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
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(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (neg.f64 (-.f64 (/.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64)) (pow.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 3 binary64))))))) N) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))))) N))
(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1/2 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) N)) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64)) (pow.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (neg.f64 (-.f64 (/.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64)) (pow.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 3 binary64))))))) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))))) N)) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (neg.f64 (-.f64 (/.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64)) (pow.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 3 binary64))))))) N) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))))) N))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))

rewrite167.0ms (2%)

Memory

-8.4MiB live, 232.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	68	387
0	103	382
1	500	373
2	3815	373
0	8996	373

Stop Event

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

Counts

26 → 547

Calls

Call 1

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

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eval208.0ms (2.5%)

Memory: 20.6MiB live, 493.6MiB allocated
Compiler: Compiled 40 897 to 4 959 computations (87.9% saved)

prune77.0ms (0.9%)

Memory

3.4MiB live, 244.4MiB allocated

Pruning

45 alts after pruning (37 fresh and 8 done)

	Pruned	Kept	Total
New	1 213	11	1 224
Fresh	4	26	30
Picked	2	3	5
Done	0	5	5
Total	1 219	45	1 264

Accuracy

99.9%

Counts

1 264 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.1%	(fma.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
	27.0%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
✓	27.3%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))))
	27.1%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
✓	25.5%	(fma.f64 (log.f64 N) (/.f64 (log.f64 N) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
	26.0%	(fma.f64 (log.f64 N) (/.f64 (log.f64 N) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	25.4%	(fma.f64 (log.f64 N) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (log.f64 N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
	27.6%	(/.f64 (fma.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
	27.3%	(/.f64 (fma.f64 (pow.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))
	26.6%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal -2 binary64))))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))))
	25.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.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)))))
	25.6%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	27.0%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))
✓	25.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))
	26.4%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (pow.f64 (sqrt.f64 (log.f64 N)) #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (log.f64 N)) #s(literal 6 binary64)))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))
	25.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.7%	(/.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 N) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 N)) (log1p.f64 N)))))
	26.1%	(/.f64 (-.f64 (-.f64 (.f64 (.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log1p.f64 N)) (log.f64 N)) (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))
	25.6%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (fma.f64 N N (neg.f64 N))))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	25.4%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	25.4%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) (.f64 (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (log.f64 N) (log1p.f64 N))))) (.f64 (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	25.5%	(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (exp.f64 (.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
	95.4%	(/.f64 (.f64 #s(approx (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (/.f64 (fma.f64 (.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) N) (/.f64 #s(literal -2 binary64) N) (fma.f64 (.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) N)) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 (-.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (fma.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (pow.f64 N #s(literal 3 binary64))) #s(literal -2 binary64) (fma.f64 (.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 N #s(literal 3 binary64)))) #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N))))) N) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N) (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64))) N))))))) N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
	95.5%	(/.f64 #s(approx (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 N) #s(literal -1 binary64)) (log.f64 N) (+.f64 (fma.f64 #s(literal -2 binary64) (log.f64 N) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64))) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (.f64 N N))) (fma.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) N) (/.f64 (.f64 (+.f64 (fma.f64 (fma.f64 (log.f64 N) #s(literal -1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64) (fma.f64 (log.f64 N) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 4/3 binary64) (log.f64 N) #s(literal -1 binary64))) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (pow.f64 N #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 N) #s(literal -1 binary64)) (log.f64 N) (+.f64 (fma.f64 #s(literal -2 binary64) (log.f64 N) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64))) (pow.f64 N #s(literal 3 binary64))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N) N))) (+.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)) N))))) N)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))
✓	25.6%	(-.f64 (log1p.f64 N) (log.f64 N))
	24.8%	(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N (neg.f64 N))))
	25.6%	(.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
	28.9%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))
✓	28.2%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	25.6%	(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
	96.4%	#s(approx (- (log (+ N 1)) (log N)) (pow.f64 (.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (neg.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 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.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(literal -1/2 binary64)))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	96.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	92.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (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) (neg.f64 N) (*.f64 #s(literal -1 binary64) (neg.f64 N))))))
	93.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) N))))
	96.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.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)) (neg.f64 N)))))
	93.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 #s(approx (+ ( (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))) (neg.f64 N)))))
	96.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N)))))
✓	83.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.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) #s(literal -1 binary64)))))
	92.0%	#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (.f64 (log.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (neg.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(literal -1 binary64))))
✓	3.3%	#s(approx (+ (* (log N) (/ (log N) (neg (+ (log N) (log (+ 1 N)))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N))))) #s(literal 0 binary64))

Compiler

Compiled 4 161 to 1 235 computations (70.3% saved)

regimes47.0ms (0.6%)

Memory

-15.6MiB live, 110.8MiB allocated

Counts

77 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

21.0ms	N
20.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.6%	2	`N`
99.6%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes16.0ms (0.2%)

Memory

5.9MiB live, 45.0MiB allocated

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.6%	2	`N`
99.6%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes15.0ms (0.2%)

Memory

-3.2MiB live, 36.0MiB allocated

Counts

25 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

7.0ms	N
7.0ms	(-.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 8 to 7 computations (12.5% saved)

regimes14.0ms (0.2%)

Memory

-7.8MiB live, 34.6MiB allocated

Counts

23 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

8.0ms	N
5.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
96.5%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
96.5%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes11.0ms (0.1%)

Memory

-12.7MiB live, 26.8MiB allocated

Counts

16 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.4%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
96.4%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.6%	1	`N`
95.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

-24.8MiB live, 14.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
93.3%	1	`N`
93.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.6%	1	`N`
92.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0%)

Memory

-28.8MiB live, 10.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (log N) (/ (log N) (neg (+ (log N) (log (+ 1 N)))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 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	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
83.3%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
#s(approx (+ (* (log N) (/ (log N) (neg (+ (log N) (log (+ 1 N)))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 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 8 to 7 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0008062058546531858	0.00596964700636704

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0008062058546531858	0.00596964700636704

Compiler

Compiled 10 to 10 computations (0% saved)

simplify45.0ms (0.5%)

Memory

-6.6MiB live, 113.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	106	407
1	136	401
2	176	401
3	253	401
4	418	401
5	656	400
6	889	400
7	994	400
8	1018	400
9	1018	400

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

soundness1.3s (15.3%)

Memory

11.2MiB live, 1 086.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	752	7688
1	2346	6596
0	8265	6371
0	88	330
1	250	302
2	588	301
3	1591	295
4	4186	287
5	6252	287
6	7306	287
0	8036	278
0	36	229
0	61	174
1	288	174
2	2300	174
0	8844	174
0	6	16
0	10	15
1	42	15
2	269	15
3	2627	15
0	8846	12
0	1100	15094
1	3790	13964
0	9400	13281
0	68	387
0	103	382
1	500	373
2	3815	373
0	8996	373

Stop Event

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

Compiler

Compiled 457 to 298 computations (34.8% saved)

preprocess76.0ms (0.9%)

Memory: -5.3MiB live, 108.5MiB allocated
Compiler: Compiled 424 to 194 computations (54.2% 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	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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (19.6%)

explain122.0ms (1.5%)

preprocess26.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize47.0ms (0.6%)

series60.0ms (0.7%)

simplify145.0ms (1.8%)

rewrite228.0ms (2.8%)

eval65.0ms (0.8%)

prune29.0ms (0.4%)

simplify179.0ms (2.2%)

localize228.0ms (2.8%)

series79.0ms (1%)

simplify220.0ms (2.7%)

rewrite295.0ms (3.6%)

eval367.0ms (4.5%)

prune123.0ms (1.5%)

simplify100.0ms (1.2%)

localize273.0ms (3.3%)

series139.0ms (1.7%)

simplify348.0ms (4.2%)

rewrite245.0ms (3%)

eval309.0ms (3.7%)

prune101.0ms (1.2%)

simplify173.0ms (2.1%)

localize387.0ms (4.7%)

series93.0ms (1.1%)

simplify271.0ms (3.3%)

rewrite167.0ms (2%)

eval208.0ms (2.5%)

prune77.0ms (0.9%)

regimes47.0ms (0.6%)

regimes16.0ms (0.2%)

regimes15.0ms (0.2%)

regimes14.0ms (0.2%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify45.0ms (0.5%)

soundness1.3s (15.3%)

preprocess76.0ms (0.9%)

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