Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample1.3s (14.7%)

Memory

27.8MiB live, 1 507.8MiB allocated

Samples

883.0ms	6 406×	1	valid
136.0ms	1 850×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 797.0ms

ival-log1p: 291.0ms (36.5% of total)

ival-log: 237.0ms (29.7% of total)

adjust: 127.0ms (15.9% of total)

ival-sub: 72.0ms (9% of total)

ival->: 24.0ms (3% of total)

ival-<: 20.0ms (2.5% of total)

ival-and: 11.0ms (1.4% of total)

exact: 11.0ms (1.4% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain117.0ms (1.3%)

Memory

-16.9MiB live, 155.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
245	2	(34.702321066452036)	2	(13.972308900622869)	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
0	0	-	0	-	`N`
0	0	-	0	-	`(log.f64 N)`
0	0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	0	-	0	-	`(log.f64 (+.f64 N #s(literal 1 binary64)))`
0	0	-	0	-	`#s(literal 1 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`	cancellation	245	6

Confusion

	Predicted +	Predicted -
+	243	2
-	2	9

Precision

0.9918367346938776

Recall

0.9918367346938776

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	243	2	0
-	2	4	5

Precision?

0.9760956175298805

Recall?

1.0

Freqs

test

number	freq
0	11
1	245

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms	402×	1	valid
7.0ms	110×	0	valid

Compiler

Compiled 48 to 22 computations (54.2% saved)

Precisions

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

ival-log: 14.0ms (30.2% of total)

ival-log1p: 14.0ms (30.2% of total)

adjust: 11.0ms (23.7% of total)

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

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

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

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

exact: 0.0ms (0% of total)

preprocess23.0ms (0.3%)

Memory

-5.3MiB live, 36.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.6%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify7.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 N)
cost-diff	0	(+.f64 N #s(literal 1 binary64))
cost-diff	0	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
cost-diff	192	(log.f64 (+.f64 N #s(literal 1 binary64)))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize40.0ms (0.5%)

Memory

24.5MiB live, 61.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0	(log.f64 N)
accuracy	0.00390625	(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	48.87266890001501	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

31.0ms	201×	1	valid
3.0ms	55×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-log1p: 11.0ms (44% of total)

ival-log: 6.0ms (24% of total)

adjust: 4.0ms (16% of total)

ival-sub: 2.0ms (8% of total)

ival-add: 1.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

series60.0ms (0.7%)

Memory

-10.3MiB live, 104.6MiB 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
29.0ms	N	@	0	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
23.0ms	N	@	-inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
7.0ms	N	@	inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))

simplify163.0ms (1.8%)

Memory

12.4MiB live, 167.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	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)))

rewrite214.0ms (2.4%)

Memory

-19.4MiB live, 190.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 425

Calls

Call 1

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

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

eval64.0ms (0.7%)

Memory: -7.9MiB live, 116.6MiB allocated
Compiler: Compiled 13 693 to 1 540 computations (88.8% saved)

prune89.0ms (1%)

Memory

24.7MiB live, 182.0MiB allocated

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	445	25	470
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	446	25	471

Accuracy

99.4%

Counts

471 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
▶	26.1%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (fma.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (-.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	24.4%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log1p.f64 (.f64 (.f64 N N) N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
	25.3%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
	23.7%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))))
	23.7%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	23.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))))
	23.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
▶	23.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	23.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	23.6%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	23.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 (/.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	23.7%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
	23.6%	(/.f64 (-.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 (fma.f64 N N N))))
	26.8%	(/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (log.f64 (fma.f64 N N N))))
	23.6%	(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (fma.f64 N N N))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (fma.f64 N N N))))
	23.6%	(-.f64 (log1p.f64 N) (log.f64 N))
	26.2%	(.f64 (log.f64 (fma.f64 N N N)) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))))
	26.8%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
	26.2%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
▶	26.2%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))
	93.7%	#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))
▶	95.3%	#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))
	91.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	84.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 1 844 to 678 computations (63.2% saved)

simplify201.0ms (2.3%)

Memory

20.4MiB live, 236.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(log1p.f64 N)
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
cost-diff	0	(/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))))
cost-diff	0	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (fma.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (-.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
cost-diff	0	(log1p.f64 N)
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
cost-diff	0	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
cost-diff	448	(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64))
cost-diff	576	(log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
cost-diff	12800	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) 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))

Rules

26 350×	`lower-fma.f32`
26 342×	`lower-fma.f64`
5 538×	`lower-*.f32`
5 532×	`lower-*.f64`
5 050×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	496
0	99	492
1	182	491
2	382	481
3	953	481
4	2994	481
0	8148	481

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

localize400.0ms (4.5%)

Memory

-21.1MiB live, 391.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.7528078125901447	(pow.f64 (log.f64 N) #s(literal 3 binary64))
accuracy	0.911201855643406	(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
accuracy	1.198912279302805	(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
accuracy	46.95015724050716	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (fma.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (-.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
accuracy	0.5006637695368841	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	0.9063381349487319	(pow.f64 (log.f64 N) #s(literal 4 binary64))
accuracy	0.911201855643406	(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
accuracy	48.18997421605259	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
accuracy	0.01953125	(log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
accuracy	0.16015625	(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
accuracy	3.106903090713605	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))
accuracy	47.331310072876946	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
accuracy	0	(/.f64 #s(literal 1 binary64) N)
accuracy	9.931062277360523	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy	0.08203125	(/.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	0.1328125	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.30078125	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.935363319280907	#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

249.0ms	199×	1	valid
47.0ms	57×	0	valid

Compiler

Compiled 559 to 56 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 255.0ms

adjust: 48.0ms (18.8% of total)

ival-sub: 40.0ms (15.7% of total)

ival-div: 34.0ms (13.3% of total)

ival-log: 33.0ms (12.9% of total)

ival-mult: 30.0ms (11.7% of total)

ival-pow: 23.0ms (9% of total)

ival-log1p: 13.0ms (5.1% of total)

ival-add: 12.0ms (4.7% of total)

ival-pow2: 8.0ms (3.1% of total)

const: 7.0ms (2.7% of total)

ival-exp: 5.0ms (2% of total)

ival-neg: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series119.0ms (1.3%)

Memory

14.2MiB live, 171.6MiB allocated

Counts

24 → 288

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

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

3 calls:

Time

Variable

Point

Expression

44.0ms

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

37.0ms

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

19.0ms

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

simplify234.0ms (2.6%)

Memory

1.9MiB live, 270.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 030×	`lower-fma.f64`
7 030×	`lower-fma.f32`
5 858×	`lower-*.f64`
5 858×	`lower-*.f32`
3 938×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1369	22030
1	4733	18988
0	8145	18240

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 285

Calls

Call 1

Inputs
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(log (/ -1 (log N)))
(+ (log (/ -1 (log N))) (/ N (log N)))
(+ (log (/ -1 (log N))) (* N (+ (* 1/2 (* N (- (* -2 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))))
(+ (log (/ -1 (log N))) (* N (+ (* N (+ (* 1/6 (* N (+ (* -6 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (* 1/3 (/ 1 (pow (log N) 2))))))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 6 (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))))))) (* 1/2 (- (* -2 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))))) (/ 1 (log N)))))
(* -1 (log (/ -1 (log N))))
(+ (* -1 (log (/ -1 (log N)))) (* -1 (/ N (log N))))
(+ (* -1 (log (/ -1 (log N)))) (* N (- (* -1/2 (* N (- (* -2 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))))
(+ (* -1 (log (/ -1 (log N)))) (* N (- (* N (+ (* -1/2 (- (* -2 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (* -1/6 (* N (+ (* -6 (* (log N) (- (* 1/2 (/ 1 (pow (log N) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (* 1/3 (/ 1 (pow (log N) 2))))))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 6 (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))))))))) (/ 1 (log N)))))
(/ -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 (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* N (- (* 1/2 (/ 1 (pow (log N) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (* 1/3 (/ 1 (pow (log N) 2))))))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ (log N) (* -1/2 (pow (log N) 2))) (pow (log N) 2))) (/ 1 (log N))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (+ (* -1 (log N)) (* 1/3 (pow (log N) 2)))) (pow (log N) 2))) (+ (* -1 (/ (+ (* -1 (/ (+ (log N) (* -1/2 (pow (log N) 2))) (pow (log N) 2))) (/ 1 (log N))) (log N))) (/ 1 (pow (log N) 2)))))) (+ (* -1 (/ (+ (log N) (* -1/2 (pow (log N) 2))) (pow (log N) 2))) (/ 1 (log N))))))))
(* -1 (pow (log N) 4))
(- (pow N 4) (pow (log N) 4))
(- (* (pow N 4) (+ 1 (* -2 N))) (pow (log N) 4))
(- (* (pow N 4) (+ 1 (* N (- (* 17/6 N) 2)))) (pow (log N) 4))
(pow N 4)
(* (pow N 4) (+ 1 (* -2 N)))
(* (pow N 4) (+ 1 (* N (- (* 17/6 N) 2))))
(* (pow N 4) (+ 1 (* N (- (* N (+ 17/6 (* -7/2 N))) 2))))
N
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* N (- (+ 1/3 (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 2))) (/ 1 (pow (log N) 2)))) (* 1/2 (/ 1 (log N))))) 1/2)))) (log N))
(/ (pow N 3) (pow (log N) 6))
(* (pow N 3) (+ (* -1 (* N (+ (* 3/2 (/ 1 (pow (log N) 6))) (* 3 (/ 1 (pow (log N) 7)))))) (/ 1 (pow (log N) 6))))
(* (pow N 3) (+ (* N (- (* N (- (+ (* 3/2 (/ 1 (pow (log N) 7))) (* 7/4 (/ 1 (pow (log N) 6)))) (+ (* -1 (/ (* (+ (* 3/2 (/ 1 (pow (log N) 6))) (* 3 (/ 1 (pow (log N) 7)))) (+ (* 2 (pow (log N) 2)) (pow (log N) 2))) (pow (log N) 3))) (* 3 (/ 1 (pow (log N) 8)))))) (+ (* 3/2 (/ 1 (pow (log N) 6))) (* 3 (/ 1 (pow (log N) 7)))))) (/ 1 (pow (log N) 6))))
(* (pow N 3) (+ (* N (- (* N (- (+ (* 3/2 (/ 1 (pow (log N) 7))) (+ (* 7/4 (/ 1 (pow (log N) 6))) (* N (- (* 3 (/ 1 (pow (log N) 8))) (+ (* -1 (/ (* (+ (* -1/2 (pow (log N) 2)) (+ (* 2 (log N)) (* (log N) (+ 1 (* -1 (log N)))))) (+ (* 3/2 (/ 1 (pow (log N) 6))) (* 3 (/ 1 (pow (log N) 7))))) (pow (log N) 3))) (+ (* 1/3 (/ 1 (pow (log N) 7))) (+ (* 2/3 (/ 1 (pow (log N) 7))) (+ (* 15/8 (/ 1 (pow (log N) 6))) (+ (/ 1 (pow (log N) 9)) (/ (* (+ (* 2 (pow (log N) 2)) (pow (log N) 2)) (- (+ (* 3/2 (/ 1 (pow (log N) 7))) (* 7/4 (/ 1 (pow (log N) 6)))) (+ (* -1 (/ (* (+ (* 3/2 (/ 1 (pow (log N) 6))) (* 3 (/ 1 (pow (log N) 7)))) (+ (* 2 (pow (log N) 2)) (pow (log N) 2))) (pow (log N) 3))) (* 3 (/ 1 (pow (log N) 8)))))) (pow (log N) 3))))))))))) (+ (* -1 (/ (* (+ (* 3/2 (/ 1 (pow (log N) 6))) (* 3 (/ 1 (pow (log N) 7)))) (+ (* 2 (pow (log N) 2)) (pow (log N) 2))) (pow (log N) 3))) (* 3 (/ 1 (pow (log N) 8)))))) (+ (* 3/2 (/ 1 (pow (log N) 6))) (* 3 (/ 1 (pow (log N) 7)))))) (/ 1 (pow (log N) 6))))
(pow N 3)
(* (pow N 3) (+ 1 (* -3/2 N)))
(* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))
(* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -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 (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)))))
(pow (log N) 4)
(pow (log N) 4)
(pow (log N) 4)
(pow (log N) 4)
(pow (log N) 2)
(pow (log N) 2)
(pow (log N) 2)
(pow (log N) 2)
(pow N 6)
(* (pow N 6) (+ 1 (* -3 N)))
(* (pow N 6) (+ 1 (* N (- (* 23/4 N) 3))))
(* (pow N 6) (+ 1 (* N (- (* N (+ 23/4 (* -9 N))) 3))))
(pow (log N) 3)
(pow (log N) 3)
(pow (log N) 3)
(pow (log N) 3)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(* -1 (log (/ 1 N)))
(+ (* -1 (log (/ 1 N))) (* 1/2 (/ 1 N)))
(- (+ (* -1 (log (/ 1 N))) (* 1/2 (/ 1 N))) (/ 5/24 (pow N 2)))
(- (+ (* -1 (log (/ 1 N))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))) (/ 5/24 (pow N 2)))
(log (/ 1 N))
(- (log (/ 1 N)) (* 1/2 (/ 1 N)))
(- (+ (log (/ 1 N)) (/ 5/24 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ (log (/ 1 N)) (/ 5/24 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3)))))
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 (* -1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 3))))) (* -1/4 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 3))))) N)
(/ (- (+ 1 (+ (* -1/4 (/ (+ (* -4 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* 2 (* (pow (log (/ 1 N)) 2) (- (* -2/3 (log (/ 1 N))) 1)))) (* (pow N 2) (pow (log (/ 1 N)) 3)))) (* -1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 3)))))) (+ (* -1/4 (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (- (* -1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 3))) (* -1/4 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 3))))) (* (pow N 2) (pow (log (/ 1 N)) 3)))) (+ (* -1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (pow (log (/ 1 N)) 3)))) (* -1/4 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 3))))))) N)
(/ (- (+ 1 (+ (* -1/4 (/ (+ (* -4 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* 2 (* (pow (log (/ 1 N)) 2) (- (* -2/3 (log (/ 1 N))) 1)))) (* (pow N 2) (pow (log (/ 1 N)) 3)))) (+ (* -1/4 (/ (+ (* -4 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 11/12 (* 1/2 (log (/ 1 N)))))) (pow (+ 1 (log (/ 1 N))) 2))) (* (pow N 3) (pow (log (/ 1 N)) 3)))) (* -1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 3))))))) (+ (* -1/4 (/ (* (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1 (pow (log (/ 1 N)) 2)))) (- (* -1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 3))) (* -1/4 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 3))))) (* (pow N 3) (pow (log (/ 1 N)) 3)))) (+ (* -1/4 (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (- (* -1/4 (/ (+ (* -4 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* 2 (* (pow (log (/ 1 N)) 2) (- (* -2/3 (log (/ 1 N))) 1)))) (pow (log (/ 1 N)) 3))) (+ (* -1/4 (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (- (* -1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 3))) (* -1/4 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 3))))) (pow (log (/ 1 N)) 3))) (* -1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1 (pow (log (/ 1 N)) 2)))) (pow (log (/ 1 N)) 3)))))) (* (pow N 3) (pow (log (/ 1 N)) 3)))) (+ (* -1/4 (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (- (* -1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 3))) (* -1/4 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 3))))) (* (pow N 2) (pow (log (/ 1 N)) 3)))) (+ (* -1/4 (/ (+ 1 (+ (* -2 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (+ (* 2/3 (pow (log (/ 1 N)) 2)) (* 2 (log (/ 1 N)))))) (* (pow N 3) (pow (log (/ 1 N)) 3)))) (+ (* -1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (pow (log (/ 1 N)) 3)))) (* -1/4 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 3)))))))))) N)
(* -4 (/ (pow (log (/ 1 N)) 3) N))
(/ (+ (* -4 (pow (log (/ 1 N)) 3)) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N)))) N)) (* 4 (/ (pow (log (/ 1 N)) 2) N)))) N)
(/ (+ (* -4 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -4 (pow (log (/ 1 N)) 3)) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N)))) N)) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 2))) (* 4 (/ (pow (log (/ 1 N)) 2) N)))))) N)
(/ (+ (* -4 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -4 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3))) (+ (* -4 (pow (log (/ 1 N)) 3)) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (+ 11/12 (* 1/2 (log (/ 1 N))))) (pow N 3))) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N)))) N)) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 2))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (+ 1 (log (/ 1 N))) 2) (pow N 3))))))))) N)
(pow (log (/ 1 N)) 4)
(+ (* -4 (/ (pow (log (/ 1 N)) 3) N)) (pow (log (/ 1 N)) 4))
(+ (* -4 (/ (pow (log (/ 1 N)) 3) N)) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (pow (log (/ 1 N)) 4))))
(+ (* -4 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 3))) (+ (* -4 (/ (pow (log (/ 1 N)) 3) N)) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (pow (log (/ 1 N)) 4))))))
(* -1 (log (/ 1 N)))
(+ (* -1 (log (/ 1 N))) (/ 1 N))
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
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(- (* 1/4 (/ 1 N)) 1/3)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 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)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(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)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(+ (* -2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))
(fma.f64 (/.f64 (.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) N) #s(literal -2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2)) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64))) N)) N))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))))))) N)) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2))) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64)) (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (-.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) (.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64))))) N)) (neg.f64 N))) N))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))

rewrite258.0ms (2.9%)

Memory

8.0MiB live, 289.3MiB allocated

Rules

3 948×	`lower-/.f32`
3 928×	`lower-/.f64`
3 718×	`lower-*.f32`
3 712×	`lower-*.f64`
3 600×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	279
0	99	254
1	441	241
2	3456	239
0	9365	239

Stop Event

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

Counts

24 → 1 055

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

eval279.0ms (3.1%)

Memory: 9.8MiB live, 479.0MiB allocated
Compiler: Compiled 80 903 to 5 374 computations (93.4% saved)

prune326.0ms (3.7%)

Memory

-30.3MiB live, 429.5MiB allocated

Pruning

52 alts after pruning (49 fresh and 3 done)

	Pruned	Kept	Total
New	1 565	35	1 600
Fresh	6	14	20
Picked	2	3	5
Done	0	0	0
Total	1 573	52	1 625

Accuracy

99.7%

Counts

1 625 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
▶	25.2%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (.f64 (fma.f64 (-.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)))))
	25.6%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) #s(literal 6 binary64)))) (fma.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (-.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
✓	26.1%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (fma.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (-.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	24.6%	(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log1p.f64 N))) (+.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (fma.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (-.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	24.9%	(fma.f64 (/.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (fma.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (-.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.3%	(fma.f64 (-.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64))))) (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 7 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.3%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	25.2%	(/.f64 (fma.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 4 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.7%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.8%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	24.4%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log1p.f64 (.f64 (.f64 N N) N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
	24.9%	(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	23.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))))
	23.7%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	23.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))))
	23.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
✓	23.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	23.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	23.6%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	24.9%	(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64)))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64))) (.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64)))))
	23.7%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
▶	23.6%	(/.f64 (-.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 (fma.f64 N N N))))
	26.8%	(/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (log.f64 (fma.f64 N N N))))
	95.1%	(/.f64 #s(approx (- (pow (log (+ 1 N)) 4) (pow (log N) 4)) (/.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (neg.f64 (log.f64 N))) (.f64 N N)) #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (fma.f64 (neg.f64 (log.f64 N)) (/.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (.f64 (.f64 N N) N)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 (.f64 N N) N)) #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) N) (/.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 N N))) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N) #s(literal 4 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 2 binary64)) (.f64 (.f64 N N) N))))))) N)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	26.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
	23.6%	(-.f64 (log1p.f64 N) (log.f64 N))
	26.8%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
	26.2%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	26.2%	(exp.f64 (-.f64 (log.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) (log.f64 (log.f64 (fma.f64 N N N)))))
	24.7%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))))) #s(literal -1 binary64)))
	23.6%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))))))) #s(literal -1 binary64)))
	23.7%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))
	24.8%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64)))
	91.3%	(exp.f64 (.f64 (log.f64 #s(approx (/ 1 (log (/ (+ 1 N) N))) (.f64 (neg.f64 N) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (neg.f64 N)) #s(literal 1 binary64))))) #s(literal -1 binary64)))
	26.2%	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
	90.9%	(exp.f64 #s(approx (* (log (/ 1 (log (/ (+ 1 N) N)))) -1) (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 5/24 binary64) (.f64 N N)) (log.f64 N)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 N N) N)))))
	93.7%	#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))
	94.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.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)) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 N N) N))) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (.f64 N N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (.f64 N N)) (fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N) (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))))))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
	95.3%	#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) (.f64 (*.f64 N N) N))) N))
	93.7%	#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))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) #s(literal -1 binary64)) N))
	84.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N))) #s(literal -1 binary64)) N))
▶	91.1%	#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))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N))))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) N))
▶	95.4%	#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)))))
✓	84.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))
▶	94.8%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))

Compiler

Compiled 3 819 to 1 564 computations (59% saved)

simplify136.0ms (1.5%)

Memory

4.4MiB live, 42.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (log.f64 N) (neg.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
cost-diff	0	(log.f64 N)
cost-diff	0	(pow.f64 (log.f64 N) #s(literal 2 binary64))
cost-diff	6720	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (.f64 (fma.f64 (-.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)))))
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
cost-diff	0	(neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
cost-diff	128	(/.f64 (-.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 (fma.f64 N N N))))
cost-diff	256	(-.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
cost-diff	0	(/.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)))
cost-diff	0	#s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))
cost-diff	5504	(pow.f64 N #s(literal 4 binary64))
cost-diff	0	#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
cost-diff	0	(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
cost-diff	0	(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
cost-diff	0	(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))
cost-diff	0	(/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))

Rules

6 848×	`lower-fma.f32`
6 836×	`lower-fma.f64`
3 358×	`lower-*.f32`
3 354×	`lower-*.f64`
1 670×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	665
0	117	659
1	195	655
2	413	647
3	1139	647
4	3651	647
5	7574	647
0	8298	647

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

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

localize370.0ms (4.2%)

Memory

-17.5MiB live, 137.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.7163240235163767	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
accuracy	0.911201855643406	(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
accuracy	1.198912279302805	(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
accuracy	46.87836049201433	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (.f64 (fma.f64 (-.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)))))
accuracy	0.3991012695368841	(/.f64 (-.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 (fma.f64 N N N))))
accuracy	0.4756050293053261	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.5006637695368841	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	48.46844857653275	(-.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
accuracy	0.01171875	(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))
accuracy	0.23828125	(fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64))
accuracy	0.324882519536884	(/.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)))
accuracy	2.935363319280907	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))
accuracy	0.00390625	(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
accuracy	0.08203125	(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)
accuracy	2.935363319280907	#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	10.075812267263887	#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
accuracy	0.0625	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
accuracy	0.1328125	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.30078125	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.935363319280907	#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

247.0ms	199×	1	valid
34.0ms	57×	0	valid

Compiler

Compiled 669 to 60 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

adjust: 59.0ms (30.9% of total)

ival-div: 27.0ms (14.1% of total)

ival-pow: 17.0ms (8.9% of total)

ival-mult: 16.0ms (8.4% of total)

ival-log: 14.0ms (7.3% of total)

ival-sub: 13.0ms (6.8% of total)

ival-add: 13.0ms (6.8% of total)

ival-log1p: 9.0ms (4.7% of total)

ival-pow2: 8.0ms (4.2% of total)

const: 7.0ms (3.7% of total)

ival-neg: 7.0ms (3.7% of total)

exact: 1.0ms (0.5% of total)

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

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

series87.0ms (1%)

Memory

2.7MiB live, 41.3MiB allocated

Counts

28 → 336

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

16.0ms

-inf

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

15.0ms

inf

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

9.0ms

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

simplify287.0ms (3.2%)

Memory

35.6MiB live, 112.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 462×	`lower-fma.f64`
11 462×	`lower-fma.f32`
6 944×	`lower-+.f64`
6 944×	`lower-+.f32`
5 124×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1154	16946
1	3972	14440
0	8848	13845

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 334

Calls

Call 1

Inputs
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(* -4 (pow N 4))
(* (pow N 4) (- (* -16/3 N) 4))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(pow N 4)
(pow N 4)
(pow N 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 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 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))
(pow (log N) 2)
(+ (* -1 (pow N 2)) (pow (log N) 2))
(+ (* (pow N 2) (- N 1)) (pow (log N) 2))
(+ (* (pow N 2) (- (* N (+ 1 (* -11/12 N))) 1)) (pow (log N) 2))
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(* -1 (pow N 2))
(* (pow N 2) (- N 1))
(* (pow N 2) (- (* N (+ 1 (* -11/12 N))) 1))
(* (pow N 2) (- (* N (+ 1 (* N (- (* 5/6 N) 11/12)))) 1))
(pow N 2)
(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (+ (* -1 (- (* 1/2 (/ 1 (log N))) (+ 1/3 (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 2)))))) (/ 1 (pow (log N) 2)))) 1/2)))))
(pow (log N) 2)
(pow (log N) 2)
(pow (log N) 2)
(pow (log N) 2)
(log N)
(log N)
(log N)
(log N)
(/ -1 (log N))
(- (/ N (pow (log N) 2)) (/ 1 (log N)))
(- (* N (+ (* -1/2 (/ N (pow (log N) 2))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(- (* N (+ (* N (- (* -1 (* N (- (* 1/2 (/ 1 (pow (log N) 3))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 4))) (* 1/3 (/ 1 (pow (log N) 2))))))) (* 1/2 (/ 1 (pow (log N) 2))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ -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
(- (* 1/3 N) 1/4)
(- (* N (+ 1/3 (* -1/2 N))) 1/4)
(- (* N (+ 1/3 (* N (- N 1/2)))) 1/4)
1/3
(+ 1/3 (* -1/2 N))
(+ 1/3 (* N (- N 1/2)))
(+ 1/3 (* N (- N 1/2)))
(pow N 6)
(* (pow N 6) (+ 1 (* -3 N)))
(* (pow N 6) (+ 1 (* N (- (* 23/4 N) 3))))
(* (pow N 6) (+ 1 (* N (- (* N (+ 23/4 (* -9 N))) 3))))
(pow N 4)
(* (pow N 4) (+ 1 (* -2 N)))
(* (pow N 4) (+ 1 (* N (- (* 17/6 N) 2))))
(* (pow N 4) (+ 1 (* N (- (* N (+ 17/6 (* -7/2 N))) 2))))
(pow N 3)
(* (pow N 3) (+ 1 (* -3/2 N)))
(* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))
(* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
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(+ (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (* N (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))
(+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) 2)) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 3))) (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (log -1) (* -1 (log (/ -1 N))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) N)) (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) N)))
(+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) 2)) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 3))) (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 3))) (+ (* -1 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) 2)) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 3))) (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (log -1) (* -1 (log (/ -1 N))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ (* (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (log -1) (* -1 (log (/ -1 N))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) N)) (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (log -1) (* -1 (log (/ -1 N))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) N)) (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) 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)
(/ -1/2 N)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(pow N 3)
(* -1 (* (pow N 3) (- (* 1/2 (/ 1 N)) 1)))
(* -1 (* (pow N 3) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
(* -1 (* (pow N 3) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
(pow N 2)
(* (pow N 2) (- 1 (* 1/2 (/ 1 N))))
(* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
(* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(+ (* -2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2)) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))))))) N)) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2))) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(+ (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
(+ (* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
(+ (* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 2 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))

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

rewrite343.0ms (3.9%)

Memory

3.3MiB live, 161.1MiB allocated

Rules

6 574×	`lower-*.f32`
6 570×	`lower-*.f64`
5 496×	`lower-fma.f32`
5 484×	`lower-fma.f64`
3 892×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	408
0	117	398
1	494	382
2	3690	382
0	10767	381

Stop Event

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

Counts

28 → 763

Calls

Call 1

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

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

eval252.0ms (2.8%)

Memory: -7.7MiB live, 341.6MiB allocated
Compiler: Compiled 76 415 to 4 306 computations (94.4% saved)

prune230.0ms (2.6%)

Memory

9.9MiB live, 576.5MiB allocated

Pruning

51 alts after pruning (46 fresh and 5 done)

	Pruned	Kept	Total
New	1 289	15	1 304
Fresh	13	31	44
Picked	3	2	5
Done	0	3	3
Total	1 305	51	1 356

Accuracy

99.7%

Counts

1 356 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	25.1%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (.f64 (fma.f64 (-.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)))))
✓	25.2%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (.f64 (fma.f64 (-.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)))))
	25.6%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) #s(literal 6 binary64)))) (fma.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (-.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
✓	26.1%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (fma.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (-.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	24.6%	(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log1p.f64 N))) (+.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (fma.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (-.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	24.9%	(fma.f64 (/.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (fma.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (-.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.3%	(fma.f64 (-.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64))))) (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 7 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.3%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	25.2%	(/.f64 (fma.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 4 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.7%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.8%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.6%	(/.f64 (fma.f64 (neg.f64 (log1p.f64 N)) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (neg.f64 (log.f64 (fma.f64 N N N))))
	23.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))))
	23.7%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	23.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))))
▶	23.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
✓	23.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	23.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	23.6%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	24.9%	(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64)))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64))) (.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64)))))
	23.7%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
	23.6%	(/.f64 (-.f64 (neg.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))
	26.8%	(/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (log.f64 (fma.f64 N N N))))
	23.6%	(-.f64 (log1p.f64 N) (log.f64 N))
	26.8%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	26.2%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	26.2%	(exp.f64 (-.f64 (log.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) (log.f64 (log.f64 (fma.f64 N N N)))))
	24.7%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))))) #s(literal -1 binary64)))
	23.6%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))))))) #s(literal -1 binary64)))
▶	23.7%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))
	24.8%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64)))
	91.3%	(exp.f64 (.f64 (log.f64 #s(approx (/ 1 (log (/ (+ 1 N) N))) (.f64 (neg.f64 N) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (neg.f64 N)) #s(literal 1 binary64))))) #s(literal -1 binary64)))
	26.2%	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N (.f64 N N)) (.f64 (*.f64 N N) N)))
	93.7%	#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))
▶	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
	93.7%	#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))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) #s(literal -1 binary64)) N))
✓	91.1%	#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))
▶	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))))
	94.3%	#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 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))))
	95.9%	#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 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))
▶	91.7%	#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 1/2 binary64) N) #s(literal 1 binary64)) N))))
✓	84.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))
	94.9%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 (*.f64 N N) N) N))))
	94.7%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) (*.f64 N N)))))
	94.9%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 N N)) (.f64 N N))))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (*.f64 N N) N) N) (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64))))))
	94.8%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 N N) N) N)))))

Compiler

Compiled 3 318 to 1 393 computations (58% saved)

simplify119.0ms (1.3%)

Memory

-29.7MiB live, 206.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))
cost-diff	0	(pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)))
cost-diff	54208	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))
cost-diff	448	(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))
cost-diff	576	(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))
cost-diff	12800	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) N)
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
cost-diff	320	(-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) 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 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))))
cost-diff	1024	(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N))))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))))
cost-diff	128	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (neg.f64 N))
cost-diff	1152	(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N))

Rules

7 322×	`lower-fma.f32`
7 320×	`lower-fma.f64`
2 690×	`lower-*.f32`
2 682×	`lower-*.f64`
2 322×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	588
0	105	576
1	176	575
2	332	556
3	783	555
4	2764	499
5	7995	499
0	8003	499

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

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

localize268.0ms (3%)

Memory

25.2MiB live, 663.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4967575195368841	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	0.510761279305326	(pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))
accuracy	0.5107612793053261	(pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))
accuracy	47.9044587000025	(-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)))
accuracy	0.015625	(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))
accuracy	0.15625	(/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))
accuracy	3.086708071176721	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))
accuracy	48.630783011420895	(-.f64 (log1p.f64 N) (log.f64 N))
accuracy	0.10546875	(-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)))
accuracy	0.125	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.36328125	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N))
accuracy	2.7482333853905327	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
accuracy	0.04296875	(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
accuracy	0.0859375	(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)
accuracy	2.7482333853905327	#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 1/2 binary64) N) #s(literal 1 binary64)) N))))
accuracy	5.05565801654114	#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
accuracy	0.30078125	(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)
accuracy	0.359375	(/.f64 #s(literal 1/24 binary64) N)
accuracy	2.7346104877164965	#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
accuracy	2.7482333853905327	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))))

Samples

187.0ms	192×	1	valid
30.0ms	62×	0	valid
3.0ms	2×	5	exit

Compiler

Compiled 500 to 55 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-div: 43.0ms (23.8% of total)

ival-sub: 32.0ms (17.7% of total)

adjust: 21.0ms (11.6% of total)

ival-log: 21.0ms (11.6% of total)

ival-pow2: 17.0ms (9.4% of total)

const: 15.0ms (8.3% of total)

ival-log1p: 12.0ms (6.7% of total)

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

ival-exp: 5.0ms (2.8% of total)

ival-add: 5.0ms (2.8% of total)

exact: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

series115.0ms (1.3%)

Memory

-18.4MiB live, 224.4MiB allocated

Counts

28 → 336

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

46.0ms

-inf

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

27.0ms

inf

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

15.0ms

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

simplify204.0ms (2.3%)

Memory

33.8MiB live, 263.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 884×	`lower-fma.f64`
5 884×	`lower-fma.f32`
5 420×	`lower-*.f64`
5 420×	`lower-*.f32`
4 716×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1096	13507
1	3613	12623
0	8256	12073

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 326

Calls

Call 1

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

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

rewrite228.0ms (2.6%)

Memory

-10.7MiB live, 395.4MiB allocated

Rules

3 842×	`lower-*.f32`
3 834×	`lower-*.f64`
3 512×	`lower-/.f32`
3 484×	`lower-/.f64`
3 342×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	463
0	105	413
1	492	393
2	4041	391
0	8684	383

Stop Event

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

Counts

28 → 1 028

Calls

Call 1

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

Outputs
(.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 1 binary64)) #s(literal -1 binary64)) N)
(*.f64 (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 1 binary64))) N)
(.f64 #s(literal -1 binary64) (.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 1 binary64)) N))
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 1 binary64)) (neg.f64 N))
(*.f64 (neg.f64 N) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) (*.f64 N N)) #s(literal 1 binary64)) (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 (-.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) (.f64 (.f64 N N) N)) #s(literal 1 binary64)) (neg.f64 N)) (+.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) (*.f64 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 (.f64 (neg.f64 N) (-.f64 (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) (*.f64 N N)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)))
(/.f64 (.f64 (neg.f64 N) (-.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) (.f64 (.f64 N N) N)) #s(literal 1 binary64))) (+.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) (*.f64 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)))
(neg.f64 (*.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 1 binary64)) 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) (neg.f64 N) N)
(fma.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) (*.f64 (neg.f64 N) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 1 binary64)) N))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (neg.f64 N)) N)
(+.f64 (.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)) (.f64 (neg.f64 N) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (neg.f64 N) (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N))) (*.f64 N N)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (/.f64 (neg.f64 N) (-.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N))) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N))) (.f64 (*.f64 N N) N)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) (+.f64 (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) N) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) N) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)))
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (/.f64 #s(literal 1 binary64) 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) (/.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))
(.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (.f64 (/.f64 #s(literal -1 binary64) N) #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)) (/.f64 #s(literal -1 binary64) N))
(pow.f64 (/.f64 (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) #s(literal -1 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) #s(literal -1 binary64)) N)
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N))) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)) (+.f64 (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) #s(literal 1/2 binary64)))
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(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) N))) (log.f64 (neg.f64 N)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(-.f64 (/.f64 (log1p.f64 N) #s(literal 1 binary64)) (/.f64 (log.f64 N) #s(literal 1 binary64)))
(-.f64 (log1p.f64 (.f64 (neg.f64 N) N)) (log.f64 (.f64 N (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (*.f64 N (-.f64 N #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (.f64 (.f64 N N) N)) (log.f64 (*.f64 N (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (.f64 (.f64 N N) N)) (log.f64 (*.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(-.f64 (/.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(+.f64 (/.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (neg.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(.f64 (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))
(.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)))
(.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 N) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 (log.f64 (fma.f64 N N N)))))
(pow.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))) (neg.f64 (log.f64 (fma.f64 N N N))))
(/.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))) (log.f64 (fma.f64 N N N)))
(/.f64 (*.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 (fma.f64 N N N))))
(/.f64 (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 1 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))
(/.f64 (*.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))
(/.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 (neg.f64 (log.f64 (fma.f64 N N N))) (log.f64 (fma.f64 N N N))))
(/.f64 (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (neg.f64 (log.f64 (fma.f64 N N N))) (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))))
(/.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (log.f64 (fma.f64 N N N)) (neg.f64 (log.f64 (fma.f64 N N N)))))
(/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
(/.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (neg.f64 (log.f64 (fma.f64 N N N)))))
(/.f64 (.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (log.f64 (fma.f64 N N N))))
(/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (-.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 (log.f64 (fma.f64 N N N)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (-.f64 (.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64)) (log.f64 (log.f64 (fma.f64 N N N)))) #s(literal 2 binary64)))
(*.f64 (log.f64 N) (log.f64 N))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 N)))
(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 (.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64)))

eval206.0ms (2.3%)

Memory: 7.6MiB live, 350.9MiB allocated
Compiler: Compiled 57 448 to 4 537 computations (92.1% saved)

prune241.0ms (2.7%)

Memory

-0.1MiB live, 361.9MiB allocated

Pruning

58 alts after pruning (50 fresh and 8 done)

	Pruned	Kept	Total
New	1 396	19	1 415
Fresh	10	31	41
Picked	2	3	5
Done	0	5	5
Total	1 408	58	1 466

Accuracy

99.8%

Counts

1 466 → 58

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	25.1%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (.f64 (fma.f64 (-.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)))))
✓	25.2%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (.f64 (fma.f64 (-.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)))))
	21.7%	(fma.f64 (/.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (neg.f64 (/.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))
	25.6%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) #s(literal 6 binary64)))) (fma.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (-.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
✓	26.1%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (fma.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (-.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.3%	(fma.f64 (-.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64))))) (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 7 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.1%	(fma.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) #s(literal 1/2 binary64)) (log1p.f64 N)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) #s(literal 1/2 binary64)) (log1p.f64 N)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	25.3%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	25.2%	(/.f64 (fma.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 4 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.7%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -2 binary64)) (neg.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	25.7%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.6%	(/.f64 (fma.f64 (neg.f64 (log1p.f64 N)) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (neg.f64 (log.f64 (fma.f64 N N N))))
	23.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N))))))
	23.7%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
✓	23.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	23.5%	(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal -3 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -3 binary64))) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -2 binary64)) (fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -2 binary64)) (/.f64 (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64))))))
	23.5%	(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal -4 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -4 binary64))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)))))
✓	23.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	23.7%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	23.6%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	24.9%	(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64)))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 3 binary64))) (.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64)))))
	23.7%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N 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 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
	24.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (log.f64 (fma.f64 N N N))))
	23.6%	(/.f64 (-.f64 (neg.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))
	26.8%	(/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (log.f64 (fma.f64 N N N))))
	23.6%	(-.f64 (log1p.f64 N) (log.f64 N))
	23.5%	(.f64 (pow.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal -4 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)))))
	26.8%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	26.2%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	26.2%	(exp.f64 (-.f64 (log.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) (log.f64 (log.f64 (fma.f64 N N N)))))
	24.9%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))))))) #s(literal -1 binary64)))
	21.7%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (neg.f64 (/.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))))) #s(literal -1 binary64)))
	24.7%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))))) #s(literal -1 binary64)))
	23.6%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))))))) #s(literal -1 binary64)))
	21.4%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 (fma.f64 N N N)))))) #s(literal -1 binary64)))
✓	23.7%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))
	24.8%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64)))
	23.5%	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal -4 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -4 binary64)))) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -2 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64))))) #s(literal -1 binary64)))
	26.2%	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (pow.f64 (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (neg.f64 N) N)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	93.7%	#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))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) #s(literal -1 binary64)) N))
✓	91.1%	#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))
	91.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (neg.f64 N) N))) #s(literal -1 binary64))))))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (neg.f64 N) N))))
	95.9%	#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 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) (.f64 (.f64 N N) N)) #s(literal 1 binary64)) (neg.f64 N)) (+.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) (*.f64 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))))))
	95.9%	#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 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))
	95.9%	#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(approx (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) (neg N)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/12 binary64)) N #s(literal -1/24 binary64)) (.f64 (*.f64 N N) N))) #s(literal 1 binary64)) (neg.f64 N)))))
✓	91.7%	#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 1/2 binary64) N) #s(literal 1 binary64)) N))))
	95.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (- (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) (neg N)) 1) (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))))))
	91.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (/ 1/2 N) 1) N) (+.f64 #s(literal 1/2 binary64) N)))))
✓	84.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	91.3%	#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)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (neg.f64 N) N))) #s(literal -1 binary64))))
	94.9%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 (*.f64 N N) N) N))))
	94.7%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) (*.f64 N N)))))
	94.9%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 N N)) (.f64 N N))))
	94.8%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 N N) N) N)))))

Compiler

Compiled 5 563 to 1 404 computations (74.8% saved)

regimes53.0ms (0.6%)

Memory

16.8MiB live, 96.6MiB allocated

Counts

95 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

26.0ms	N
22.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes25.0ms (0.3%)

Memory

-32.5MiB live, 45.9MiB allocated

Counts

45 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (/ 1/2 N) 1) N) (+.f64 #s(literal 1/2 binary64) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.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) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N))) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 (*.f64 N N) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (- (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) (neg N)) 1) (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 #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)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 N N) N) N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 N N)) (.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.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)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (*.f64 N N) N) N) (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
#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(approx (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) (neg N)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/12 binary64)) N #s(literal -1/24 binary64)) (.f64 (*.f64 N N) N))) #s(literal 1 binary64)) (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (neg.f64 N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.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 N)) (.f64 (*.f64 N N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (+.f64 (/.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) (.f64 (*.f64 N N) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 N 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 N (+.f64 N #s(literal 1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (neg.f64 N) 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)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (neg.f64 N) N))) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 #s(approx (/ 1 (log (/ (+ 1 N) N))) (.f64 (neg.f64 N) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (neg.f64 N)) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(exp.f64 #s(approx (* (log (/ 1 (log (/ (+ 1 N) N)))) -1) (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 5/24 binary64) (.f64 N N)) (log.f64 N)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 N N) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (neg.f64 N) N))) #s(literal -1 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) (.f64 (.f64 N N) N)) #s(literal 1 binary64)) (neg.f64 N)) (+.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))) (*.f64 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))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))

Outputs

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

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

Calls

2 calls:

12.0ms	N
10.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes16.0ms (0.2%)

Memory

33.4MiB live, 33.4MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes16.0ms (0.2%)

Memory

-19.3MiB live, 19.6MiB allocated

Counts

28 → 1

Calls

Call 1

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

Calls

2 calls:

8.0ms	N
7.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes12.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes12.0ms (0.1%)

Memory

-26.6MiB live, 14.3MiB allocated

Counts

18 → 1

Calls

Call 1

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

Outputs

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

7.0ms	N
4.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 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 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.7%	1	`N`
94.7%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
93.7%	1	`N`
93.7%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

6 → 1

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
91.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
91.8%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Memory

-34.0MiB live, 4.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
84.5%	1	`N`
84.5%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0008555228165487705	0.0020479381405671404

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0008555228165487705	0.0020479381405671404

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0008555228165487705	0.0020479381405671404

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify11.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`+-commutative_binary64`
36×	`sub-neg_binary64`
30×	`*-commutative_binary64`
24×	`neg-sub0_binary64`
22×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	106	482
1	133	481
2	163	481
3	190	481
4	204	481
5	209	481
6	210	481

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.6s (17.9%)

Memory

-17.0MiB live, 947.8MiB allocated

Rules

11 472×	`lower-fma.f64`
11 472×	`lower-fma.f32`
11 462×	`lower-fma.f64`
11 462×	`lower-fma.f32`
7 030×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1369	22030
1	4733	18988
0	8145	18240
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	69	408
0	117	398
1	494	382
2	3690	382
0	10767	381
0	1096	13507
1	3613	12623
0	8256	12073
0	1154	16946
1	3972	14440
0	8848	13845
0	65	463
0	105	413
1	492	393
2	4041	391
0	8684	383
0	56	279
0	99	254
1	441	241
2	3456	239
0	9365	239
0	6	16
0	10	15
1	42	15
2	269	15
3	2627	15
0	8846	12

Stop Event

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

Compiler

Compiled 576 to 295 computations (48.8% saved)

preprocess142.0ms (1.6%)

Memory: 26.3MiB live, 147.2MiB allocated
Compiler: Compiled 564 to 198 computations (64.9% 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%)

sample1.3s (14.7%)

explain117.0ms (1.3%)

preprocess23.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize40.0ms (0.5%)

series60.0ms (0.7%)

simplify163.0ms (1.8%)

rewrite214.0ms (2.4%)

eval64.0ms (0.7%)

prune89.0ms (1%)

simplify201.0ms (2.3%)

localize400.0ms (4.5%)

series119.0ms (1.3%)

simplify234.0ms (2.6%)

rewrite258.0ms (2.9%)

eval279.0ms (3.1%)

prune326.0ms (3.7%)

simplify136.0ms (1.5%)

localize370.0ms (4.2%)

series87.0ms (1%)

simplify287.0ms (3.2%)

rewrite343.0ms (3.9%)

eval252.0ms (2.8%)

prune230.0ms (2.6%)

simplify119.0ms (1.3%)

localize268.0ms (3%)

series115.0ms (1.3%)

simplify204.0ms (2.3%)

rewrite228.0ms (2.6%)

eval206.0ms (2.3%)

prune241.0ms (2.7%)

regimes53.0ms (0.6%)

regimes25.0ms (0.3%)

regimes16.0ms (0.2%)

regimes16.0ms (0.2%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

soundness1.6s (17.9%)

preprocess142.0ms (1.6%)

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