Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.4s (16.6%)

Memory

28.3MiB live, 1 472.2MiB allocated

Samples

1.0s	6 461×	1	valid
114.0ms	1 795×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 868.0ms

ival-log1p: 297.0ms (34.2% of total)

ival-log: 284.0ms (32.7% of total)

adjust: 110.0ms (12.7% of total)

ival-sub: 97.0ms (11.2% of total)

ival-<: 32.0ms (3.7% of total)

ival->: 24.0ms (2.8% of total)

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

exact: 10.0ms (1.2% of total)

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

Bogosity

explain116.0ms (1.4%)

Memory

-0.2MiB live, 243.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
251	-	2	(24.744476438483268)	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
0	-	0	-	`N`
0	-	0	-	`(log.f64 N)`
0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	-	0	-	`(log.f64 (+.f64 N #s(literal 1 binary64)))`
0	-	0	-	`#s(literal 1 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`	cancellation	249	3

Confusion

	Predicted +	Predicted -
+	249	2
-	0	5

Precision

1.0

Recall

0.9920318725099602

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	249	2	0
-	0	1	4

Precision?

0.996031746031746

Recall?

1.0

Freqs

test

number	freq
0	7
1	249

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms	390×	1	valid
7.0ms	122×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-log: 16.0ms (36.3% of total)

ival-log1p: 13.0ms (29.5% of total)

adjust: 8.0ms (18.1% of total)

ival-sub: 4.0ms (9.1% of total)

ival-add: 2.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess18.0ms (0.2%)

Memory

-10.3MiB live, 28.6MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.1%	(-.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

9.7MiB live, 9.7MiB 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)

localize79.0ms (0.9%)

Memory

-2.6MiB live, 36.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0	(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	0	(log.f64 N)
accuracy	47.90859211466864	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

47.0ms	61×	0	valid
26.0ms	195×	1	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-log1p: 51.0ms (78.8% of total)

ival-log: 6.0ms (9.3% of total)

adjust: 5.0ms (7.7% of total)

ival-sub: 2.0ms (3.1% of total)

ival-add: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series63.0ms (0.8%)

Memory

-40.9MiB live, 97.7MiB 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
25.0ms	N	@	0	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
20.0ms	N	@	-inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
17.0ms	N	@	inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))

simplify188.0ms (2.3%)

Memory

36.1MiB live, 111.1MiB 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)))

rewrite218.0ms (2.6%)

Memory

-17.2MiB live, 134.4MiB 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
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 N)))
(pow.f64 (log1p.f64 N) #s(literal 1 binary64))
(log1p.f64 N)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.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)))) (neg.f64 (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) 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 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(/.f64 (-.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 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) 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))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
(neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))))
(neg.f64 (neg.f64 (log1p.f64 N)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 N)) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 N)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 N #s(literal 1 binary64))) (log.f64 (fma.f64 N N #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) (log1p.f64 (pow.f64 N #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #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 (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) 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 (/.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))))) (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) 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 (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) 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 (.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))) (log1p.f64 (.f64 N N)))
(-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64)))))
(-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))) (log.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))) (log.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)))) (log.f64 (fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 (.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64)))) (log.f64 (+.f64 (pow.f64 (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(-.f64 (log.f64 (.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(-.f64 (log.f64 (.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 N #s(literal 1 binary64)))))
(-.f64 (log.f64 (.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(-.f64 (log.f64 (.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 N N) (-.f64 N #s(literal 1 binary64))) (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))) (log.f64 (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))))
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal 9 binary64))) (log.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 N) N)) (log1p.f64 (neg.f64 N)))
(-.f64 (log.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64)))) (log1p.f64 (neg.f64 N)))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 N #s(literal 3 binary64)))) (log.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 N)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) (log1p.f64 (fma.f64 N N N)))
(+.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 N N N)))
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))))) (log.f64 (+.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))))) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 N N)))) (log1p.f64 N))
(+.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))) (log1p.f64 N))
(+.f64 (neg.f64 (log.f64 (-.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N #s(literal -1 binary64))))
(+.f64 (neg.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) (log1p.f64 (pow.f64 N #s(literal 3 binary64))))
(+.f64 (log1p.f64 (*.f64 (neg.f64 N) N)) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(+.f64 (log.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 N #s(literal 3 binary64)))) (log.f64 (pow.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64))))
(+.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (log.f64 (-.f64 N #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (neg.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))
(+.f64 #s(literal 0 binary64) (log1p.f64 N))
(+.f64 (log1p.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))
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(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(neg.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) N) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 N N) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 N N) (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) N)) (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N #s(literal 1 binary64))) (-.f64 N #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64)))) (-.f64 N #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 N)) #s(literal -1 binary64)))
(pow.f64 (log.f64 N) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 N))
(+.f64 (log.f64 N) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 N)))
(log.f64 N)

eval90.0ms (1.1%)

Memory: 18.0MiB live, 67.6MiB allocated
Compiler: Compiled 12 638 to 1 563 computations (87.6% saved)

prune153.0ms (1.8%)

Memory

-12.8MiB live, 100.8MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	451	19	470
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	452	19	471

Accuracy

99.6%

Counts

471 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.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)) (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))))))
	26.2%	(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)))))
	25.6%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (log.f64 N)))
	24.9%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.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)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.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))))))
	24.9%	(/.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)))
	24.9%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.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)))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
	25.2%	(/.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)))))
	24.8%	(/.f64 (-.f64 (.f64 #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))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (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)))))
	24.8%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.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)))))
▶	24.7%	(-.f64 (/.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (/.f64 (.f64 (+.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))))
	24.1%	(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (-.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) (neg.f64 (log.f64 N))))
	25.1%	(+.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
▶	24.9%	(*.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
▶	28.2%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
	27.5%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	95.7%	#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))
▶	97.0%	#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))
	92.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	83.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 1 124 to 456 computations (59.4% saved)

simplify186.0ms (2.2%)

Memory

-9.5MiB live, 108.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))
cost-diff	19776	(/.f64 (*.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)))
cost-diff	19776	(/.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
cost-diff	40320	(-.f64 (/.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (/.f64 (.f64 (+.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))))
cost-diff	0	(log.f64 N)
cost-diff	0	(+.f64 (log.f64 N) (log1p.f64 N))
cost-diff	0	(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))
cost-diff	32704	(*.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
cost-diff	0	(/.f64 N (+.f64 #s(literal 1 binary64) N))
cost-diff	0	(log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
cost-diff	704	(/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
cost-diff	0	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
cost-diff	0	(-.f64 (/.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	40	313
0	67	283
1	117	283
2	246	267
3	622	243
4	1721	243
5	6093	243
0	8191	243

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

localize250.0ms (3%)

Memory

-6.1MiB live, 236.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.5309562988422102	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.5397262695368841	(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
accuracy	0.549823779305326	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	47.54832785365142	(-.f64 (/.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (/.f64 (.f64 (+.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))))
accuracy	0.32421875	(*.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
accuracy	0.5309562988422102	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.549823779305326	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	47.688019318978064	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
accuracy	0	(+.f64 #s(literal 1 binary64) N)
accuracy	0	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
accuracy	0.00390625	(/.f64 N (+.f64 #s(literal 1 binary64) N))
accuracy	45.89946546246016	(log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
accuracy	0	(/.f64 #s(literal 1 binary64) N)
accuracy	10.439416332600377	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy	0.07421875	(/.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)
accuracy	0.17578125	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.30859375	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	1.8510869107358994	#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

163.0ms	195×	1	valid
17.0ms	61×	0	valid

Compiler

Compiled 343 to 37 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-mult: 33.0ms (24.8% of total)

ival-div: 25.0ms (18.8% of total)

ival-log: 15.0ms (11.3% of total)

adjust: 13.0ms (9.8% of total)

ival-pow2: 11.0ms (8.3% of total)

ival-sub: 11.0ms (8.3% of total)

ival-log1p: 8.0ms (6% of total)

const: 6.0ms (4.5% of total)

ival-pow: 4.0ms (3% of total)

ival-add: 3.0ms (2.3% of total)

ival-neg: 2.0ms (1.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series77.0ms (0.9%)

Memory

-0.3MiB live, 77.9MiB allocated

Counts

25 → 300

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 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) (patch (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) (patch (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 N (+.f64 #s(literal 1 binary64) N)) (patch (/.f64 N (+.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (patch (.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.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 (log.f64 N) (log1p.f64 N)) (patch (+.f64 (log.f64 N) (log1p.f64 N)) #<representation binary64>) () ())
#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (/.f64 (.f64 (+.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)))) (patch (-.f64 (/.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (/.f64 (.f64 (+.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)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (patch (/.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.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))) (patch (/.f64 (.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))) #<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 (/.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 #s(literal 1 binary64) N) (patch (+.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 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 (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 2 binary64)) (patch (pow.f64 (+.f64 (log.f64 N) (log1p.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>) () ())) ())
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#s(alt (+ (* -1 (/ (+ (* -2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -2/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)))) N))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)) (taylor -inf N) (#s(alt (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
24.0ms	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) (/ (/ N (+ 1 N)) 1) (neg (log (/ (/ N (+ 1 N)) 1))) (log (/ (/ N (+ 1 N)) 1)) (/ N (+ 1 N)) (* (pow (+ (log N) (log (+ 1 N))) -1) (- (pow (log (+ 1 N)) 2) (pow (log N) 2))) (pow (+ (log N) (log (+ 1 N))) -1) (+ (log N) (log (+ 1 N))) (log N) (- (/ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (+ (log N) (log (+ 1 N))) 2)) (/ (* (+ (log N) (log (+ 1 N))) (pow (log N) 2)) (pow (+ (log N) (log (+ 1 N))) 2))) (/ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (+ (log N) (log (+ 1 N))) 2)) (/ (* (+ (log N) (log (+ 1 N))) (pow (log N) 2)) (pow (+ (log N) (log (+ 1 N))) 2)) (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (+ 1 N) (- (pow (log (+ 1 N)) 2) (pow (log N) 2)) (pow (log N) 2) (pow (log (+ 1 N)) 2) (pow (+ (log N) (log (+ 1 N))) 2))
20.0ms	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) (/ (/ N (+ 1 N)) 1) (neg (log (/ (/ N (+ 1 N)) 1))) (log (/ (/ N (+ 1 N)) 1)) (/ N (+ 1 N)) (* (pow (+ (log N) (log (+ 1 N))) -1) (- (pow (log (+ 1 N)) 2) (pow (log N) 2))) (pow (+ (log N) (log (+ 1 N))) -1) (+ (log N) (log (+ 1 N))) (log N) (- (/ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (+ (log N) (log (+ 1 N))) 2)) (/ (* (+ (log N) (log (+ 1 N))) (pow (log N) 2)) (pow (+ (log N) (log (+ 1 N))) 2))) (/ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (+ (log N) (log (+ 1 N))) 2)) (/ (* (+ (log N) (log (+ 1 N))) (pow (log N) 2)) (pow (+ (log N) (log (+ 1 N))) 2)) (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (+ 1 N) (- (pow (log (+ 1 N)) 2) (pow (log N) 2)) (pow (log N) 2) (pow (log (+ 1 N)) 2) (pow (+ (log N) (log (+ 1 N))) 2))
10.0ms	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) (/ (/ N (+ 1 N)) 1) (neg (log (/ (/ N (+ 1 N)) 1))) (log (/ (/ N (+ 1 N)) 1)) (/ N (+ 1 N)) (* (pow (+ (log N) (log (+ 1 N))) -1) (- (pow (log (+ 1 N)) 2) (pow (log N) 2))) (pow (+ (log N) (log (+ 1 N))) -1) (+ (log N) (log (+ 1 N))) (log N) (- (/ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (+ (log N) (log (+ 1 N))) 2)) (/ (* (+ (log N) (log (+ 1 N))) (pow (log N) 2)) (pow (+ (log N) (log (+ 1 N))) 2))) (/ (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (+ (log N) (log (+ 1 N))) 2)) (/ (* (+ (log N) (log (+ 1 N))) (pow (log N) 2)) (pow (+ (log N) (log (+ 1 N))) 2)) (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (+ 1 N) (- (pow (log (+ 1 N)) 2) (pow (log N) 2)) (pow (log N) 2) (pow (log (+ 1 N)) 2) (pow (+ (log N) (log (+ 1 N))) 2))

Time

Variable

Point

Expression

24.0ms

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

20.0ms

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

10.0ms

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

simplify255.0ms (3.1%)

Memory

9.5MiB live, 200.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	879	8507
1	2830	7583
0	8145	7357

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 296

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)
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- N 1))))
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- N 1))))
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))
(* -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 (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)))
(log N)
(+ N (log N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 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) (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))))
(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)))
(* (pow N 2) (log N))
(* (pow N 2) (+ (log N) (* N (+ 1 (* -1 (log N))))))
(* (pow N 2) (+ (log N) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 11/12 (log N)) 3/2)))))))
(* (pow N 2) (+ (log N) (* N (+ 1 (+ (* -1 (log N)) (* N (- (+ (* 11/12 (log N)) (* N (+ 7/4 (* -5/6 (log N))))) 3/2)))))))
(/ 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
(+ 1 N)
(+ 1 N)
(+ 1 N)
(* -1 (pow (log N) 2))
(- (pow N 2) (pow (log N) 2))
(- (* (pow N 2) (+ 1 (* -1 N))) (pow (log N) 2))
(- (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1)))) (pow (log N) 2))
(pow (log N) 2)
(pow (log N) 2)
(pow (log N) 2)
(pow (log N) 2)
(pow N 2)
(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(pow (log N) 2)
(+ (* 2 (* N (log N))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (* -1 (log N)))))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 2/3 (log N)) 1))))))) (pow (log N) 2))
(/ 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
(- 1 (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 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)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
1
(- 1 (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))
(/ 1 N)
(/ (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)
(/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N))))))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)
(/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N))))))))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)
(/ -1/2 (log (/ 1 N)))
(* -1 (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ 1 N)) 2))))))
(- (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))))))
(- (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 3))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 3)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))))))))
(* -2 (log (/ 1 N)))
(+ (* -2 (log (/ 1 N))) (/ 1 N))
(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(/ 1 N)
(/ (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)
(/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)
(/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/16 (/ 1 (log (/ 1 N)))) (+ 1/12 (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N)))))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (+ 1/12 (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)
(* -1/2 (log (/ 1 N)))
(+ (* -1/2 (log (/ 1 N))) (* 3/4 (/ 1 N)))
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(/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))
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(* (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 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
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(/ -1/3 N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
-1/3
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N
(* N (+ 1 (/ 1 N)))
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(* -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))
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Outputs
(* -1 (log N))
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(- (* N (+ 1 (* -1/2 N))) (log N))
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(-.f64 (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 (-.f64 (fma.f64 #s(literal 4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (.f64 #s(literal -4 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) #s(literal 1 binary64)) N)) N))
(+ (* -1 (/ (+ (* -2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -2/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)))) N))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(-.f64 (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 (-.f64 (fma.f64 #s(literal 4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (.f64 #s(literal -4 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4/3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (fma.f64 #s(literal -4/3 binary64) (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64))) N)) N)) N))

rewrite327.0ms (3.9%)

Memory

26.4MiB live, 233.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	258
0	67	208
1	317	201
2	2474	189
0	8660	189

Stop Event

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

Counts

25 → 1 345

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

eval612.0ms (7.3%)

Memory: 3.1MiB live, 502.7MiB allocated
Compiler: Compiled 75 943 to 5 382 computations (92.9% saved)

prune333.0ms (4%)

Memory

-1.4MiB live, 522.9MiB allocated

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	2 049	26	2 075
Fresh	4	10	14
Picked	4	1	5
Done	0	0	0
Total	2 057	37	2 094

Accuracy

99.7%

Counts

2 094 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.4%	(fma.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	26.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.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)) (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))))))
	26.2%	(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)))))
	25.0%	(fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (pow.f64 (/.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64)))
	26.3%	(fma.f64 (.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (neg.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	26.6%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	25.6%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (log.f64 N)))
	24.7%	(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -2 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64)))) (.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal -2 binary64)))) (.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64)))))
	24.9%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.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)))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
	25.2%	(/.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)))))
	25.2%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (.f64 (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))) (.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (*.f64 (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))
	24.8%	(/.f64 (-.f64 (.f64 #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))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (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)))))
	24.8%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.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)))))
	25.0%	(-.f64 (/.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64)))
▶	25.1%	(+.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
	25.0%	(*.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
	96.7%	(.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) #s(approx (- (pow (log (+ 1 N)) 2) (pow (log N) 2)) (/.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 11/12 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 (neg.f64 (log.f64 N)) N)) (/.f64 #s(literal 1 binary64) N))) (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 N) #s(literal -1 binary64)) (.f64 N N)))) N)))
	24.9%	(*.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
	24.9%	(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
	22.9%	(.f64 (pow.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (.f64 N N)))) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
	25.1%	(neg.f64 (+.f64 (log.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (-.f64 N #s(literal 1 binary64)))))
	28.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
	95.7%	(neg.f64 #s(approx (log (/ (/ N (+ 1 N)) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N)))
	27.5%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	95.7%	#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))
	97.0%	#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))
	97.0%	#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))
	97.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) N))
	95.7%	#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))
▶	96.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.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) (neg.f64 N)) N) (.f64 N (neg.f64 N))))
	96.7%	#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) (.f64 (.f64 N (neg.f64 N)) #s(literal -1 binary64))) (.f64 (*.f64 N (neg.f64 N)) N)))
▶	92.7%	#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))
	96.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (.f64 (.f64 N (/.f64 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 binary64))) (.f64 (.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) N)))
▶	97.1%	#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)))))
✓	83.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	97.0%	#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) N) (/.f64 #s(literal -1 binary64) N)))
	97.0%	#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)))

Compiler

Compiled 2 234 to 1 046 computations (53.2% saved)

simplify94.0ms (1.1%)

Memory

7.6MiB live, 127.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (log1p.f64 N) (log.f64 N))
cost-diff	0	(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64))
cost-diff	576	(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
cost-diff	13312	(fma.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
cost-diff	0	(log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N))
cost-diff	128	(+.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
cost-diff	704	(/.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff	6336	(log.f64 (/.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) #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) (neg.f64 N)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.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) (neg.f64 N)) N) (.f64 N (neg.f64 N))))
cost-diff	128	(/.f64 (-.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) (neg.f64 N)) N) (.f64 N (neg.f64 N)))
cost-diff	1152	(*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) (neg.f64 N))
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	#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	384	(/.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: 4 (0.0ms)

Iter	Nodes	Cost
0	55	469
0	92	449
1	155	447
2	324	425
3	993	421
4	3109	420
5	6835	420
0	8122	420

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

localize241.0ms (2.9%)

Memory

-0.9MiB live, 402.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5182800781475363	(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64))
accuracy	0.5309562988422102	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.549823779305326	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	46.55509440094707	(fma.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
accuracy	0.01171875	(log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N))
accuracy	0.039424832581718174	(log.f64 (/.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy	0.13671875	(/.f64 (fma.f64 N N #s(literal -1 binary64)) N)
accuracy	47.96764583705005	(+.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (/.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
accuracy	0.26171875	(/.f64 (-.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) (neg.f64 N)) N) (.f64 N (neg.f64 N)))
accuracy	0.265625	(*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) (neg.f64 N))
accuracy	0.30859375	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	1.8510869107358994	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.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) (neg.f64 N)) N) (.f64 N (neg.f64 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	0.07421875	(/.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	1.8510869107358994	#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	10.607520904042467	#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
accuracy	0.0703125	(/.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))))
accuracy	0.17578125	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.30859375	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	1.8510869107358994	#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

156.0ms	196×	1	valid
41.0ms	60×	0	valid

Compiler

Compiled 428 to 46 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-div: 32.0ms (21.4% of total)

ival-log: 22.0ms (14.7% of total)

ival-add: 20.0ms (13.4% of total)

adjust: 16.0ms (10.7% of total)

ival-sub: 14.0ms (9.4% of total)

ival-mult: 11.0ms (7.4% of total)

ival-log1p: 9.0ms (6% of total)

ival-pow: 9.0ms (6% of total)

ival-pow2: 8.0ms (5.4% of total)

const: 8.0ms (5.4% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series54.0ms (0.6%)

Memory

-22.3MiB live, 97.7MiB allocated

Counts

25 → 300

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

Calls

3 calls:

Time

Variable

Point

Expression

15.0ms

-inf

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

14.0ms

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

11.0ms

inf

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

simplify168.0ms (2%)

Memory

12.7MiB live, 298.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	649	4814
1	1942	4304
2	5956	4222
0	8178	4022

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 296

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

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

rewrite182.0ms (2.2%)

Memory

8.2MiB live, 236.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	346
0	92	325
1	404	306
2	3022	297
0	8636	295

Stop Event

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

Counts

25 → 858

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

Outputs
(*.f64 (pow.f64 (/.f64 N (-.f64 (pow.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 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) #s(literal -1 binary64)))
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(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) N) (.f64 (*.f64 N N) #s(literal 1/3 binary64))) (pow.f64 N #s(literal 3 binary64)))
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 N #s(literal 1/3 binary64))) (.f64 (.f64 N (.f64 N #s(literal 4 binary64))) #s(literal 1 binary64))) (.f64 (.f64 N (*.f64 N #s(literal 4 binary64))) (/.f64 N #s(literal 1/3 binary64))))
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) N)) #s(literal -1/3 binary64)) (neg.f64 N))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 N)))
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(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) N) N) (.f64 N #s(literal 1/3 binary64))) (*.f64 N N))
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(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))) N))
(fma.f64 (pow.f64 N #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) N) (neg.f64 (/.f64 #s(literal 1/3 binary64) N)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) N) (pow.f64 N #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/3 binary64) N)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 N #s(literal -1 binary64)) N) (neg.f64 (/.f64 #s(literal 1/3 binary64) N)))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) N) N) (/.f64 #s(literal 1/3 binary64) N))
(+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) N) N) (neg.f64 (/.f64 #s(literal 1/3 binary64) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 N (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (pow.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/64 binary64) #s(literal -1/27 binary64)) (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64))) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/64 binary64) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) #s(literal 1/9 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 3 binary64)) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64)))) (.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64))) #s(literal 1/27 binary64))) (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64))) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (neg.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))))
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(/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)))
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(/.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/64 binary64) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/64 binary64) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64))) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/64 binary64) #s(literal -1/27 binary64))))
(fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) N) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64)) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 3 binary64)) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/9 binary64)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(*.f64 (pow.f64 (/.f64 N (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 N (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 N #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) N))
(*.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))
(*.f64 (+.f64 N #s(literal 1 binary64)) (/.f64 (-.f64 N #s(literal 1 binary64)) N))
(.f64 (+.f64 N #s(literal 1 binary64)) (.f64 (-.f64 N #s(literal 1 binary64)) (pow.f64 N #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N #s(literal -1 binary64)) N))
(pow.f64 (/.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) #s(literal -1 binary64)) N)
(/.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -1 binary64))) (fma.f64 N N #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (pow.f64 N #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64))) (neg.f64 (neg.f64 N)))
(/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64)) N)
(/.f64 (.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(/.f64 (.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64))) N))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) N)
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) N))
(neg.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (neg.f64 N)))
(exp.f64 (*.f64 (log.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))
(*.f64 (log.f64 N) (log.f64 N))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 N)))
(pow.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(exp.f64 (+.f64 (log.f64 (log.f64 N)) (log.f64 (log.f64 N))))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64)))
(*.f64 (log1p.f64 N) (log1p.f64 N))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log1p.f64 N)))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(exp.f64 (+.f64 (log.f64 (log1p.f64 N)) (log.f64 (log1p.f64 N))))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64)))

eval189.0ms (2.3%)

Memory: 19.4MiB live, 247.4MiB allocated
Compiler: Compiled 38 806 to 4 585 computations (88.2% saved)

prune177.0ms (2.1%)

Memory

3.4MiB live, 329.2MiB allocated

Pruning

38 alts after pruning (36 fresh and 2 done)

	Pruned	Kept	Total
New	1 317	19	1 336
Fresh	14	17	31
Picked	4	1	5
Done	0	1	1
Total	1 335	38	1 373

Accuracy

99.8%

Counts

1 373 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.4%	(fma.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (.f64 (+.f64 N #s(literal 1 binary64)) N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	26.2%	(fma.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 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))))
	26.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.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)) (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))))))
	26.5%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (+.f64 (log.f64 N) (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))))
	26.8%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.0%	(fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (pow.f64 (/.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64)))
	26.6%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	26.7%	(/.f64 (fma.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal -3 binary64))) (fma.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))))
	25.6%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (log.f64 N)))
	24.7%	(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -2 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64)))) (.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal -2 binary64)))) (.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64)))))
	24.9%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.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)))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
	25.2%	(/.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)))))
	25.2%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (.f64 (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))) (.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (*.f64 (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))
	24.8%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.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)))))
	25.1%	(-.f64 (neg.f64 (log.f64 (-.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))
	25.1%	(+.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))))
▶	25.7%	(+.f64 (log.f64 (*.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64))))
	25.0%	(*.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
	24.9%	(*.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
	24.9%	(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
	22.9%	(.f64 (pow.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (.f64 N N)))) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
	28.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
	27.5%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	95.7%	#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))
	97.0%	#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))
	95.7%	#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))
✓	92.7%	#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))
	95.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) (*.f64 N (neg.f64 N))))
▶	96.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N) (*.f64 N (neg.f64 N))))
	96.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (.f64 (-.f64 (neg.f64 (.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 N #s(literal 3 binary64))) (neg.f64 (pow.f64 N #s(literal -2 binary64)))) (fma.f64 N (fma.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64)) N) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) N) (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (.f64 N N))) (.f64 N (neg.f64 N))))
	83.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N))))
	93.4%	#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)) (+.f64 #s(literal 1/2 binary64) N))))
▶	97.3%	#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)) (*.f64 (-.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)) (neg.f64 N)))))
	96.1%	#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))))
✓	83.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	97.0%	#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 (+ (* (pow (+ (log (+ 1 N)) (log N)) -2) (* (pow (log (+ 1 N)) 2) (+ (log (+ 1 N)) (log N)))) (/ -1 (/ (+ (log (+ 1 N)) (log N)) (pow (log N) 2)))) #s(literal 0 binary64))

Compiler

Compiled 2 117 to 1 000 computations (52.8% saved)

simplify98.0ms (1.2%)

Memory

-6.0MiB live, 69.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64))
cost-diff	128	(*.f64 (+.f64 N #s(literal 1 binary64)) N)
cost-diff	576	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 N #s(literal 1 binary64)) N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
cost-diff	13312	(fma.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (.f64 (+.f64 N #s(literal 1 binary64)) N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
cost-diff	0	(/.f64 (fma.f64 N N #s(literal -1 binary64)) N)
cost-diff	0	(log.f64 (*.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64))))
cost-diff	0	(+.f64 (log.f64 (*.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64))))
cost-diff	6016	(*.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)))
cost-diff	0	(-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N) (*.f64 N (neg.f64 N))))
cost-diff	128	(/.f64 (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N) (*.f64 N (neg.f64 N)))
cost-diff	0	#s(approx (+ (* (pow (+ (log (+ 1 N)) (log N)) -2) (* (pow (log (+ 1 N)) 2) (+ (log (+ 1 N)) (log N)))) (/ -1 (/ (+ (log (+ 1 N)) (log N)) (pow (log N) 2)))) #s(literal 0 binary64))
cost-diff	0	#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 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (neg.f64 N)))
cost-diff	0	(/.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 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (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 (-.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)) (neg.f64 N)))))
cost-diff	1152	(*.f64 (-.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)) (neg.f64 N))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	549
0	121	545
1	198	545
2	399	515
3	1006	494
4	3223	481
5	6597	481
0	8165	476

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

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

localize287.0ms (3.4%)

Memory

24.4MiB live, 292.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.5182800781475363	(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64))
accuracy	0.5309562988422102	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.549823779305326	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	46.55509440094707	(fma.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (.f64 (+.f64 N #s(literal 1 binary64)) N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
accuracy	0.05354437160969095	(log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64)))
accuracy	0.13671875	(/.f64 (fma.f64 N N #s(literal -1 binary64)) N)
accuracy	0.33203125	(*.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64)))
accuracy	47.503401438737015	(+.f64 (log.f64 (*.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64))))
accuracy	0.17578125	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.26171875	(/.f64 (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N) (*.f64 N (neg.f64 N)))
accuracy	0.30859375	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	1.8510869107358994	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N) (*.f64 N (neg.f64 N))))
accuracy	61.901415678954805	#s(approx (+ (* (pow (+ (log (+ 1 N)) (log N)) -2) (* (pow (log (+ 1 N)) 2) (+ (log (+ 1 N)) (log N)))) (/ -1 (/ (+ (log (+ 1 N)) (log N)) (pow (log N) 2)))) #s(literal 0 binary64))
accuracy	0.30078125	(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)
accuracy	0.3359375	(/.f64 #s(literal 1/24 binary64) N)
accuracy	1.840035579226259	#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 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (neg.f64 N)))
accuracy	1.8510869107358994	#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 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (neg.f64 N)))))

Samples

212.0ms	195×	1	valid
27.0ms	61×	0	valid

Compiler

Compiled 450 to 62 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-div: 34.0ms (18.2% of total)

adjust: 26.0ms (13.9% of total)

ival-log: 25.0ms (13.4% of total)

ival-mult: 20.0ms (10.7% of total)

ival-pow: 18.0ms (9.6% of total)

ival-sub: 17.0ms (9.1% of total)

const: 13.0ms (6.9% of total)

ival-add: 13.0ms (6.9% of total)

ival-pow2: 10.0ms (5.3% of total)

ival-log1p: 10.0ms (5.3% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series62.0ms (0.7%)

Memory

-17.2MiB live, 68.3MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#s(alt (.f64 (-.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)) (neg.f64 N)) (patch (.f64 (-.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)) (neg.f64 N)) #<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 (-.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)) (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 (-.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)) (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 (-.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)) (neg.f64 N)))) (patch (/.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 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (neg.f64 N)))) #<representation binary64>) () ())
#s(alt #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 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (neg.f64 N))) (patch #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 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (neg.f64 N))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (pow (+ (log (+ 1 N)) (log N)) -2) (* (pow (log (+ 1 N)) 2) (+ (log (+ 1 N)) (log N)))) (/ -1 (/ (+ (log (+ 1 N)) (log N)) (pow (log N) 2)))) #s(literal 0 binary64)) (patch #s(approx (+ (* (pow (+ (log (+ 1 N)) (log N)) -2) (* (pow (log (+ 1 N)) 2) (+ (log (+ 1 N)) (log N)))) (/ -1 (/ (+ (log (+ 1 N)) (log N)) (pow (log N) 2)))) #s(literal 0 binary64)) #<representation binary64>) () ())
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#s(alt (/.f64 #s(literal 1/24 binary64) N) (patch (/.f64 #s(literal 1/24 binary64) N) #<representation binary64>) () ())
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Outputs
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#s(alt (* (pow N 4) (- (* -16/3 N) 4)) (taylor 0 N) (#s(alt #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 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (neg.f64 N))) (patch #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 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (neg.f64 N))) #<representation binary64>) () ())) ())
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#s(alt (* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4)) (taylor 0 N) (#s(alt #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 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (neg.f64 N))) (patch #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 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (neg.f64 N))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 2/3 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (+ (* -2 (/ (+ (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)) (* 3 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* 2 (/ (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 5))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))))) N)) (+ (* 3 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (* 2 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (taylor -inf N) (#s(alt (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) (patch (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (/ 1/12 N) (taylor -inf N) (#s(alt (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) (patch (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) (taylor -inf N) (#s(alt (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) (patch (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) (taylor -inf N) (#s(alt (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) (patch (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) (taylor -inf N) (#s(alt (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) (patch (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) #<representation binary64>) () ())) ())
#s(alt (/ -1/3 N) (taylor -inf N) (#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 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)) (taylor -inf N) (#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 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)) (taylor -inf N) (#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 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)) (taylor -inf N) (#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 -1/3 (taylor -inf N) (#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 (- (* 1/4 (/ 1 N)) 1/3) (taylor -inf N) (#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 (- (* 1/4 (/ 1 N)) 1/3) (taylor -inf N) (#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 (- (* 1/4 (/ 1 N)) 1/3) (taylor -inf N) (#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 (log (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))) (taylor -inf N) (#s(alt (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64))) (patch (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (log (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))) (* 1/2 (/ 1 (* N (pow (sqrt -1) 2))))) (taylor -inf N) (#s(alt (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64))) (patch (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))) (/ -1/2 (* N (pow (sqrt -1) 2)))) (/ 1/2 (* (pow N 2) (pow (sqrt -1) 2)))) (taylor -inf N) (#s(alt (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64))) (patch (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1/24 (/ (- (* -12 (/ (* N (- 1 (* -1/4 (/ N (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* 3 (/ (pow N 2) (pow (sqrt -1) 4)))) N)) (* 1/2 (/ N (pow (sqrt -1) 2)))) (pow N 3))) (/ -1/2 (* N (pow (sqrt -1) 2))))) (taylor -inf N) (#s(alt (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64))) (patch (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/2 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) (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 (log1p.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#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>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (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>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

22.0ms

-inf

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

15.0ms

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

11.0ms

inf

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

simplify188.0ms (2.3%)

Memory

-6.8MiB live, 182.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	923	7268
1	2784	6231
0	8557	5937

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 281

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 (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))
(* -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 (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))))))))
(/ -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))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2))
(/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 2))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2))
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2))
(* -1 (/ (sqrt -1) N))
(/ (+ (* -1 (sqrt -1)) (* 1/2 (/ N (sqrt -1)))) N)
(/ (+ (* -1 (sqrt -1)) (* N (+ (* N (+ (sqrt -1) (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))) (* 1/2 (/ 1 (sqrt -1)))))) N)
(/ (+ (* -1 (sqrt -1)) (* N (+ (* N (+ (sqrt -1) (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* N (- (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ 1 (sqrt -1)))))))) (* 1/2 (/ 1 (sqrt -1)))))) N)
(+ (log (sqrt -1)) (+ (log (* -1 (sqrt -1))) (* -1 (log N))))
(+ (log (sqrt -1)) (+ (log (* -1 (sqrt -1))) (+ (* -1 (log N)) (* -1 (/ N (pow (sqrt -1) 2))))))
(+ (log (sqrt -1)) (+ (log (* -1 (sqrt -1))) (+ (* -1 (log N)) (* N (- (* N (+ (* 1/2 (- (* -2 (/ (+ (sqrt -1) (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))) (sqrt -1))) (* 1/4 (/ 1 (pow (sqrt -1) 4))))) (* 1/2 (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4))))))) (/ 1 (pow (sqrt -1) 2)))))))
(+ (log (sqrt -1)) (+ (log (* -1 (sqrt -1))) (+ (* -1 (log N)) (* N (- (* N (+ (* 1/2 (- (* -2 (/ (+ (sqrt -1) (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))) (sqrt -1))) (* 1/4 (/ 1 (pow (sqrt -1) 4))))) (+ (* 1/2 (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4))))) (* N (+ (* 1/6 (- (+ (* -6 (/ (- (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt -1))) (* -3 (/ (+ (sqrt -1) (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))) (pow (sqrt -1) 3)))) (* 1/4 (/ 1 (pow (sqrt -1) 6))))) (* 1/6 (- (+ (* -3 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* -3/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))) (* 1/4 (/ 1 (pow (sqrt -1) 6)))))))))) (/ 1 (pow (sqrt -1) 2)))))))
(+ (log (* -1 (sqrt -1))) (* -1 (log N)))
(+ (log (* -1 (sqrt -1))) (+ (* -1 (log N)) (* -1/2 (/ N (pow (sqrt -1) 2)))))
(+ (log (* -1 (sqrt -1))) (+ (* -1 (log N)) (* N (- (* 1/2 (* N (- (* -2 (/ (+ (sqrt -1) (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))) (sqrt -1))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))))))
(+ (log (* -1 (sqrt -1))) (+ (* -1 (log N)) (* N (- (* N (+ (* 1/6 (* N (- (+ (* -6 (/ (- (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt -1))) (* -3 (/ (+ (sqrt -1) (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))) (pow (sqrt -1) 3)))) (* 1/4 (/ 1 (pow (sqrt -1) 6)))))) (* 1/2 (- (* -2 (/ (+ (sqrt -1) (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1)))) (sqrt -1))) (* 1/4 (/ 1 (pow (sqrt -1) 4))))))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))))))
(/ -1 N)
(/ (- (pow N 2) 1) N)
(/ (- (pow N 2) 1) N)
(/ (- (pow N 2) 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))))))))
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ 1/2 (/ 1 (log N))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (+ (* -1 (+ 1/2 (/ 1 (log N)))) (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))))))))
N
(* N (+ 1 N))
(* N (+ 1 N))
(* N (+ 1 N))
(/ 1 (pow (log N) 2))
(+ (* -2 (/ N (pow (log N) 3))) (/ 1 (pow (log N) 2)))
(+ (* N (- (* N (+ (/ 1 (pow (log N) 3)) (* 3 (/ 1 (pow (log N) 4))))) (* 2 (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))
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(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (+ (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 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))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (+ (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))) (/ 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)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (+ (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 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 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (+ (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))) (/ 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)) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (+ (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))) (/ 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)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (+ (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))
(* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))
(+ (* 1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(- (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)) (* 2 (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)) (* 3 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) N)) (* 2 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 2/3 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (+ (* -2 (/ (+ (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)) (* 3 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* 2 (/ (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 5))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))))) N)) (+ (* 3 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (* 2 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))
(/ 1/24 N)
(/ 1/24 N)
(/ 1/24 N)
(/ 1/24 N)
(/ 1/12 N)
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(/ -1/3 N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(log (* (sqrt (/ 1 N)) (pow (sqrt -1) 2)))
(- (log (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))) (* 1/2 (/ 1 (* N (pow (sqrt -1) 2)))))
(- (+ (log (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))) (/ -1/2 (* N (pow (sqrt -1) 2)))) (/ 1/2 (* (pow N 2) (pow (sqrt -1) 2))))
(+ (log (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1/24 (/ (- (* -12 (/ (* N (- 1 (* -1/4 (/ N (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* 3 (/ (pow N 2) (pow (sqrt -1) 4)))) N)) (* 1/2 (/ N (pow (sqrt -1) 2)))) (pow N 3))) (/ -1/2 (* N (pow (sqrt -1) 2)))))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))

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

rewrite205.0ms (2.5%)

Memory

37.7MiB live, 229.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	420
0	121	412
1	503	409
2	3599	385
0	10415	382

Stop Event

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

Counts

24 → 431

Calls

Call 1

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

Outputs
(.f64 (.f64 (-.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)) #s(literal -1 binary64)) N)
(*.f64 (neg.f64 (-.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))) N)
(*.f64 (neg.f64 N) (-.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 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (neg.f64 N))
(.f64 #s(literal -1 binary64) (.f64 (-.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)) N))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.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 2 binary64))) (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)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.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 3 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) (+.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 (neg.f64 N) (-.f64 #s(literal 1 binary64) (pow.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 2 binary64)))) (+.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)))
(/.f64 (*.f64 (neg.f64 N) (-.f64 #s(literal -1 binary64) (pow.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 3 binary64)))) (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) (+.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 (*.f64 (-.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)) N))
(fma.f64 (neg.f64 N) #s(literal -1 binary64) (*.f64 (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 #s(literal -1 binary64) (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) (neg.f64 N)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.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)) N))
(+.f64 (.f64 #s(literal -1 binary64) (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) (neg.f64 N)))
(+.f64 (.f64 (neg.f64 N) #s(literal -1 binary64)) (.f64 (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)))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (-.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)))) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (neg.f64 N) (-.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)))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (-.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)))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (neg.f64 N) (-.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)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (neg.f64 N) (-.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)))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (neg.f64 N) (-.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))))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (-.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)))))) #s(literal -1 binary64))
(pow.f64 (.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (neg.f64 N) (-.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)))) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (-.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))))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (-.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)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (-.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)))))) #s(literal -1 binary64))
(pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (-.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)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (-.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 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (-.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 #s(literal -1 binary64) (neg.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (-.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))))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (-.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))))))
(exp.f64 (.f64 (log.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (neg.f64 N) (-.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))))) #s(literal -1 binary64)))
(.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (neg.f64 N) (-.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)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (-.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)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (-.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)))) #s(literal 1 binary64))
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (-.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 (neg.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (-.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))))) #s(literal -1 binary64))
(/.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (-.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)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (-.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)))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (neg.f64 N) (-.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))))) #s(literal -1 binary64))))
#s(approx (+ (* (pow (+ (log (+ 1 N)) (log N)) -2) (* (pow (log (+ 1 N)) 2) (+ (log (+ 1 N)) (log N)))) (/ -1 (/ (+ (log (+ 1 N)) (log N)) (pow (log N) 2)))) #s(literal 0 binary64))
(.f64 (pow.f64 (/.f64 (.f64 (neg.f64 N) N) (-.f64 (pow.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 N N))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(approx ( (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (neg.f64 N) N) (-.f64 (pow.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 N (+.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N) (pow.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (neg.f64 N) #s(literal -1 binary64)) (/.f64 (-.f64 #s(approx ( (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N) N))
(.f64 (/.f64 (-.f64 #s(approx ( (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N) N) (pow.f64 (neg.f64 N) #s(literal -1 binary64)))
(.f64 (neg.f64 (pow.f64 N #s(literal -2 binary64))) (pow.f64 (pow.f64 (-.f64 #s(approx ( (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (neg.f64 (pow.f64 N #s(literal -2 binary64))) (-.f64 #s(approx ( (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N))
(.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 N) (-.f64 #s(approx ( (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N)) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 #s(approx ( (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N)) (pow.f64 N #s(literal -2 binary64)))
(.f64 (-.f64 #s(approx ( (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N) (neg.f64 (pow.f64 N #s(literal -2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 N #s(literal -2 binary64))) (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N)))
(pow.f64 (/.f64 (neg.f64 N) (/.f64 (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N) N)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 (neg.f64 N) N) (-.f64 #s(approx ( (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (neg.f64 N) N) (-.f64 #s(approx ( (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N)) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) (neg.f64 N)) (/.f64 N (neg.f64 N))) N)
(/.f64 (-.f64 (neg.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)))) (neg.f64 N)) (*.f64 N N))
(/.f64 (/.f64 (/.f64 (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N) N) #s(literal -1 binary64)) N)
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(/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 N #s(literal -3 binary64)) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 N #s(literal -3 binary64)) #s(literal -1/27 binary64)) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/12 binary64) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/12 binary64) N))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 N #s(literal -3 binary64)) #s(literal -1/27 binary64))))
(fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 (neg.f64 N) #s(literal -1 binary64)) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64)) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 3 binary64)) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/12 binary64) N)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/16 binary64) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/12 binary64) N)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/4 binary64) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/4 binary64))))
(*.f64 #s(literal -1/2 binary64) (log.f64 (-.f64 N #s(literal 1 binary64))))
(fma.f64 #s(literal -1/4 binary64) (log.f64 (-.f64 N #s(literal 1 binary64))) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal -1/4 binary64) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/4 binary64))))
(+.f64 (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/4 binary64))) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/4 binary64))))
(log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))
(*.f64 (log.f64 N) (log.f64 N))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 N)))
(pow.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(exp.f64 (+.f64 (log.f64 (log.f64 N)) (log.f64 (log.f64 N))))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64)))
(*.f64 (log1p.f64 N) (log1p.f64 N))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log1p.f64 N)))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(exp.f64 (+.f64 (log.f64 (log1p.f64 N)) (log.f64 (log1p.f64 N))))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64)))

eval140.0ms (1.7%)

Memory: -34.1MiB live, 124.1MiB allocated
Compiler: Compiled 22 173 to 3 235 computations (85.4% saved)

prune169.0ms (2%)

Memory

21.2MiB live, 230.1MiB allocated

Pruning

38 alts after pruning (35 fresh and 3 done)

	Pruned	Kept	Total
New	704	8	712
Fresh	4	27	31
Picked	4	1	5
Done	0	2	2
Total	712	38	750

Accuracy

99.8%

Counts

750 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.4%	(fma.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	26.2%	(fma.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 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))))
	26.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.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)) (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))))))
	26.5%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (+.f64 (log.f64 N) (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))))
	26.8%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.0%	(fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (pow.f64 (/.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64)))
	26.6%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	25.7%	(fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal -1/2 binary64) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1/2 binary64)) N))))
	26.7%	(/.f64 (fma.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal -3 binary64))) (fma.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))))
	25.6%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (log.f64 N)))
	24.7%	(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -2 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64)))) (.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal -2 binary64)))) (.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 1 binary64)))))
	24.9%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.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)))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
	25.2%	(/.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)))))
	25.2%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (.f64 (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))) (.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (*.f64 (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))
	24.8%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.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)))))
	25.1%	(-.f64 (neg.f64 (log.f64 (-.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))
	25.1%	(+.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))))
	25.0%	(*.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
	24.9%	(*.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
	24.9%	(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
	22.9%	(.f64 (pow.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (.f64 N N)))) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
	28.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
	27.5%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	96.7%	#s(approx (- (log (+ N 1)) (log N)) (pow.f64 (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (-.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)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	95.7%	#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))
	95.7%	#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))
✓	92.7%	#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))
	95.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) (*.f64 N (neg.f64 N))))
	96.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (+.f64 #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (.f64 N N))) #s(literal 1/2 binary64))) N) (.f64 N (neg.f64 N))))
	83.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) N) (neg.f64 N)) (*.f64 N (neg.f64 N))))
	97.4%	#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)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.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 2 binary64))) (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))))))
	93.4%	#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)) (+.f64 #s(literal 1/2 binary64) N))))
	97.3%	#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)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ (- 1/12 (/ 1/24 N)) N) (/.f64 (fma.f64 #s(literal 1/12 binary64) N #s(literal -1/24 binary64)) (.f64 N N)))) N)) (neg.f64 N)))))
	97.2%	#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)) #s(approx (* (- -1 (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N)) (neg N)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))))))
✓	83.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	97.0%	#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)))))
	92.9%	#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 #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))))) #s(literal -1 binary64))))
✓	3.3%	#s(approx (+ (* (pow (+ (log (+ 1 N)) (log N)) -2) (* (pow (log (+ 1 N)) 2) (+ (log (+ 1 N)) (log N)))) (/ -1 (/ (+ (log (+ 1 N)) (log N)) (pow (log N) 2)))) #s(literal 0 binary64))

Compiler

Compiled 2 978 to 922 computations (69% saved)

regimes47.0ms (0.6%)

Memory

-11.2MiB live, 70.4MiB allocated

Counts

73 → 2

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	N
20.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.5%	2	`N`
99.5%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes21.0ms (0.3%)

Memory

-0.2MiB live, 36.2MiB allocated

Counts

33 → 2

Calls

Call 1

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

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)))))

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

Calls

2 calls:

12.0ms	N
7.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes17.0ms (0.2%)

Memory

-1.7MiB live, 35.7MiB allocated

Counts

27 → 1

Calls

Call 1

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

Calls

2 calls:

10.0ms	N
6.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
97.3%	1	`N`
97.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes10.0ms (0.1%)

Memory

24.8MiB live, 24.8MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.2%	1	`N`
97.2%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.1%)

Memory

-34.2MiB live, 15.7MiB allocated

Counts

8 → 1

Calls

Call 1

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

5.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
3.0ms	N

Results

Accuracy	Segments	Branch
95.7%	1	`N`
95.7%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

14.4MiB live, 14.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs

#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) (*.f64 N (neg.f64 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
95.4%	1	`N`
95.4%	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

-26.8MiB live, 12.8MiB allocated

Counts

6 → 1

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
93.4%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
93.4%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (pow (+ (log (+ 1 N)) (log N)) -2) (* (pow (log (+ 1 N)) 2) (+ (log (+ 1 N)) (log N)))) (/ -1 (/ (+ (log (+ 1 N)) (log N)) (pow (log N) 2)))) #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
83.7%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
83.7%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
#s(approx (+ (* (pow (+ (log (+ 1 N)) (log N)) -2) (* (pow (log (+ 1 N)) 2) (+ (log (+ 1 N)) (log N)))) (/ -1 (/ (+ (log (+ 1 N)) (log N)) (pow (log N) 2)))) #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	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
3.3%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0011158131711406227	0.002107769189758635

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0003742638787844754	0.0007509193423205218

Compiler

Compiled 10 to 10 computations (0% saved)

simplify176.0ms (2.1%)

Memory

19.7MiB live, 59.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	118	357
1	157	357
2	226	357
3	294	355
4	408	354
5	528	354
6	638	354
7	800	354
8	1006	354
9	1185	354
10	1290	354
11	1328	354
12	1334	354

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/576460752303423488 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 #s(literal 1 binary64) (pow.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 2 binary64))) (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)))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 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))))) (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)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ (- 1/12 (/ 1/24 N)) N) (/.f64 (fma.f64 #s(literal 1/12 binary64) N #s(literal -1/24 binary64)) (.f64 N N)))) N)) (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 (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N)) (neg N)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) (*.f64 N (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 #s(literal 1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (+ (* (pow (+ (log (+ 1 N)) (log N)) -2) (* (pow (log (+ 1 N)) 2) (+ (log (+ 1 N)) (log N)))) (/ -1 (/ (+ (log (+ 1 N)) (log N)) (pow (log N) 2)))) #s(literal 0 binary64))

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/576460752303423488 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 #s(literal 1 binary64) (pow.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 2 binary64))) (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)))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(if (<=.f64 (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) #s(literal 1152921504606847/576460752303423488 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 (pow.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 2 binary64)) #s(literal 1 binary64)) 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)))))) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 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))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(if (<=.f64 (-.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 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))))) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ (- 1/12 (/ 1/24 N)) N) (/.f64 (fma.f64 #s(literal 1/12 binary64) N #s(literal -1/24 binary64)) (.f64 N N)))) N)) (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) #s(approx (/ (- 1/12 (/ 1/24 N)) N) (/.f64 (fma.f64 #s(literal 1/12 binary64) N #s(literal -1/24 binary64)) (.f64 N 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)) #s(approx (* (- -1 (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N)) (neg N)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) N) (*.f64 N (neg.f64 N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg N)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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 #s(literal 1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (+ (* (pow (+ (log (+ 1 N)) (log N)) -2) (* (pow (log (+ 1 N)) 2) (+ (log (+ 1 N)) (log N)))) (/ -1 (/ (+ (log (+ 1 N)) (log N)) (pow (log N) 2)))) #s(literal 0 binary64))

soundness1.2s (14.9%)

Memory

8.7MiB live, 795.2MiB allocated

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
0	78	420
0	121	412
1	503	409
2	3599	385
0	10415	382
0	40	258
0	67	208
1	317	201
2	2474	189
0	8660	189
0	923	7268
1	2784	6231
0	8557	5937
0	6	16
0	10	15
1	42	15
2	269	15
3	2627	15
0	8846	12
0	649	4814
1	1942	4304
2	5956	4222
0	8178	4022

Stop Event

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

Compiler

Compiled 356 to 236 computations (33.7% saved)

preprocess190.0ms (2.3%)

Memory: -16.4MiB live, 179.7MiB allocated
Compiler: Compiled 392 to 216 computations (44.9% 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%)

sample1.4s (16.6%)

explain116.0ms (1.4%)

preprocess18.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize79.0ms (0.9%)

series63.0ms (0.8%)

simplify188.0ms (2.3%)

rewrite218.0ms (2.6%)

eval90.0ms (1.1%)

prune153.0ms (1.8%)

simplify186.0ms (2.2%)

localize250.0ms (3%)

series77.0ms (0.9%)

simplify255.0ms (3.1%)

rewrite327.0ms (3.9%)

eval612.0ms (7.3%)

prune333.0ms (4%)

simplify94.0ms (1.1%)

localize241.0ms (2.9%)

series54.0ms (0.6%)

simplify168.0ms (2%)

rewrite182.0ms (2.2%)

eval189.0ms (2.3%)

prune177.0ms (2.1%)

simplify98.0ms (1.2%)

localize287.0ms (3.4%)

series62.0ms (0.7%)

simplify188.0ms (2.3%)

rewrite205.0ms (2.5%)

eval140.0ms (1.7%)

prune169.0ms (2%)

regimes47.0ms (0.6%)

regimes21.0ms (0.3%)

regimes17.0ms (0.2%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify176.0ms (2.1%)

soundness1.2s (14.9%)

preprocess190.0ms (2.3%)

end0.0ms (0%)

Profiling

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

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