Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB 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 (12.2%)

Memory

26.7MiB live, 1 558.9MiB allocated

Samples

911.0ms	6 408×	1	valid
110.0ms	1 848×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 799.0ms

ival-log1p: 284.0ms (35.5% of total)

ival-log: 203.0ms (25.4% of total)

adjust: 116.0ms (14.5% of total)

ival-sub: 114.0ms (14.3% of total)

ival-<: 37.0ms (4.6% of total)

ival->: 23.0ms (2.9% of total)

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

exact: 10.0ms (1.3% of total)

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

Bogosity

explain118.0ms (1.1%)

Memory

-3.5MiB live, 204.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
246	2	(31.633961198587233)	4	(18.062536879119367)	`(-.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	244	5

Confusion

	Predicted +	Predicted -
+	242	4
-	2	8

Precision

0.9918032786885246

Recall

0.983739837398374

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	242	4	0
-	2	1	7

Precision?

0.9879518072289156

Recall?

1.0

Freqs

test

number	freq
0	12
1	244

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms	388×	1	valid
9.0ms	124×	0	valid

Compiler

Compiled 48 to 22 computations (54.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-log: 17.0ms (33.7% of total)

adjust: 13.0ms (25.8% of total)

ival-log1p: 13.0ms (25.8% of total)

ival-sub: 4.0ms (7.9% of total)

ival-add: 2.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess25.0ms (0.2%)

Memory

8.3MiB live, 43.6MiB 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

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.7%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify10.0ms (0.1%)

Memory

-23.0MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (0.4%)

Memory

28.8MiB live, 74.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0	(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	0	(log.f64 N)
accuracy	46.93171075197002	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

27.0ms	194×	1	valid
4.0ms	62×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

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

adjust: 6.0ms (26.6% of total)

ival-log: 6.0ms (26.6% of total)

ival-sub: 2.0ms (8.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series52.0ms (0.5%)

Memory

-7.3MiB live, 69.9MiB 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 (/ 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 (+ (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 (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 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 (/ 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 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 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 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 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 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 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

12 calls:

Time	Variable		Point	Expression
23.0ms	N	@	0	(log N)
20.0ms	N	@	-inf	(log N)
5.0ms	N	@	inf	(log N)
2.0ms	N	@	-inf	(log (+ N 1))
0.0ms	N	@	-inf	(- (log (+ N 1)) (log N))

simplify322.0ms (2.9%)

Memory

11.8MiB live, 359.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 45

Calls

Call 1

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

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

rewrite330.0ms (3%)

Memory

-21.2MiB live, 387.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 425

Calls

Call 1

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

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

eval93.0ms (0.9%)

Memory: -5.3MiB live, 110.9MiB allocated
Compiler: Compiled 13 693 to 1 544 computations (88.7% saved)

prune116.0ms (1.1%)

Memory

-12.9MiB live, 157.6MiB allocated

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	445	25	470
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	445	26	471

Accuracy

99.5%

Counts

471 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.9%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
▶	27.6%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	28.1%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (fma.f64 N N N)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	28.1%	(fma.f64 (/.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 N) (log.f64 (fma.f64 N N N))) #s(literal 3 binary64)))) (fma.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) (-.f64 (*.f64 (log.f64 N) (log.f64 (fma.f64 N N 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 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.4%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (log.f64 N) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
▶	24.8%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	26.6%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	27.5%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)))
	26.5%	(/.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)))))
	26.6%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
	30.2%	(/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (log.f64 (fma.f64 N N N))))
	26.6%	(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (fma.f64 N N N))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (fma.f64 N N N))))
	26.3%	(-.f64 (/.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64))) (/.f64 (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64))))
	26.7%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	26.7%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
	29.4%	(.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (log.f64 N) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	30.2%	(.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
	29.4%	(*.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))))
▶	29.8%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
	30.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	30.0%	(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) N)))
	29.4%	(log.f64 (/.f64 (+.f64 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))
▶	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N))
	93.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
▶	82.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 1 426 to 638 computations (55.3% saved)

simplify276.0ms (2.5%)

Memory

19.0MiB live, 371.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N 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 3/2 binary64))
cost-diff	13184	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
cost-diff	0	(log1p.f64 N)
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
cost-diff	0	(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))))
cost-diff	22400	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
cost-diff	0	(-.f64 (*.f64 N N) N)
cost-diff	0	(log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))
cost-diff	0	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
cost-diff	704	(/.f64 (-.f64 (*.f64 N N) N) (fma.f64 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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N))

Rules

7 682×	`lower-fma.f32`
7 672×	`lower-fma.f64`
3 630×	`lower-*.f32`
3 626×	`lower-*.f64`
2 330×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	50	410
0	89	406
1	145	401
2	253	389
3	522	387
4	1063	372
5	2779	368
6	5611	368
0	8347	368

Stop Event

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

Calls

Call 1

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

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

localize299.0ms (2.7%)

Memory

-0.7MiB live, 436.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.39453125	(pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))
accuracy	0.5185737793053261	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.739467822358587	(pow.f64 (log.f64 N) #s(literal 3 binary64))
accuracy	45.23289799040836	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
accuracy	0.5162887695368841	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	0.5185737793053261	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	45.143575815955586	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
accuracy	45.417227703041846	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
accuracy	0	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
accuracy	0.13119125976844204	(-.f64 (*.f64 N N) N)
accuracy	0.20607377930532605	(/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))
accuracy	44.67360956083591	(log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))
accuracy	0	(/.f64 #s(literal 1 binary64) N)
accuracy	11.330221698918141	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy	0.09375	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
accuracy	0.13671875	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
accuracy	0.3671875	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
accuracy	2.9935704848054994	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N))

Samples

205.0ms	203×	1	valid
20.0ms	53×	0	valid

Compiler

Compiled 452 to 50 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-log: 42.0ms (24% of total)

ival-div: 29.0ms (16.6% of total)

adjust: 23.0ms (13.2% of total)

ival-pow: 15.0ms (8.6% of total)

ival-add: 15.0ms (8.6% of total)

ival-mult: 12.0ms (6.9% of total)

ival-log1p: 10.0ms (5.7% of total)

ival-pow2: 8.0ms (4.6% of total)

const: 7.0ms (4% of total)

ival-sub: 6.0ms (3.4% of total)

ival-neg: 6.0ms (3.4% of total)

exact: 1.0ms (0.6% of total)

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

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

series127.0ms (1.2%)

Memory

9.2MiB live, 120.5MiB allocated

Counts

22 → 264

Calls

Call 1

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

Calls

66 calls:

Time	Variable		Point	Expression
27.0ms	N	@	-inf	(pow (log (+ 1 N)) 3/2)
12.0ms	N	@	-inf	(+ (* (pow (log (+ 1 N)) 3/2) (/ (pow (log (+ 1 N)) 3/2) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))) (neg (/ (pow (log N) 3) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))))
10.0ms	N	@	inf	(+ (* (pow (log (+ 1 N)) 3/2) (/ (pow (log (+ 1 N)) 3/2) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))) (neg (/ (pow (log N) 3) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))))
5.0ms	N	@	-inf	(/ (pow (log (+ 1 N)) 3/2) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))
5.0ms	N	@	inf	(/ (pow (log (+ 1 N)) 3/2) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))

simplify534.0ms (4.9%)

Memory

18.9MiB live, 426.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 486×	`lower-*.f64`
6 486×	`lower-*.f32`
6 468×	`lower-fma.f64`
6 468×	`lower-fma.f32`
4 700×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1182	15830
1	4081	14525
0	8798	13985

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 262

Calls

Call 1

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

rewrite412.0ms (3.8%)

Memory

-21.3MiB live, 210.1MiB allocated

Rules

4 096×	`lower-/.f32`
4 074×	`lower-/.f64`
3 038×	`lower-*.f32`
3 034×	`lower-*.f64`
2 308×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	259
0	89	209
1	366	195
2	3024	190
0	8140	190

Stop Event

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

Counts

22 → 964

Calls

Call 1

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

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

eval345.0ms (3.1%)

Memory: 4.0MiB live, 196.3MiB allocated
Compiler: Compiled 75 136 to 4 748 computations (93.7% saved)

prune339.0ms (3.1%)

Memory

0.6MiB live, 294.7MiB allocated

Pruning

39 alts after pruning (35 fresh and 4 done)

	Pruned	Kept	Total
New	1 565	24	1 589
Fresh	9	11	20
Picked	2	3	5
Done	0	1	1
Total	1 576	39	1 615

Accuracy

99.7%

Counts

1 615 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.9%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.9%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.7%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (-.f64 (log1p.f64 (.f64 N (.f64 N N))) (log1p.f64 (fma.f64 N N (neg.f64 N)))) #s(literal 2 binary64))))))
✓	27.6%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	28.1%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 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)))))
	28.4%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (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)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	24.7%	(fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	28.1%	(fma.f64 (/.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 N) (log.f64 (fma.f64 N N N))) #s(literal 3 binary64)))) (fma.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) (-.f64 (*.f64 (log.f64 N) (log.f64 (fma.f64 N N 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 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.5%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)))
	24.6%	(/.f64 (fma.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) (log.f64 (fma.f64 N N N)) (.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))) (log.f64 (fma.f64 N N N))))
	24.6%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) (log.f64 (fma.f64 N N N))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))) (log.f64 (fma.f64 N N N))))
	27.0%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	26.9%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))))
	26.6%	(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (fma.f64 N N N))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (fma.f64 N N N))))
	26.7%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	26.7%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
	30.2%	(.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
▶	29.4%	(*.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))))
▶	25.8%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N (neg.f64 N))) #s(literal 3 binary64)) (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 (neg.f64 N))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N (neg.f64 N))) (log.f64 (fma.f64 N N #s(literal -1 binary64))))))))
	25.8%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N (neg.f64 N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N (neg.f64 N)) (fma.f64 N N #s(literal -1 binary64))))))
	30.1%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (fma.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (fma.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))))
	29.8%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))
✓	29.8%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
	30.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	30.0%	(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) N)))
	29.4%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
▶	95.2%	#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))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))) N))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N))
▶	91.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	93.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N))
	93.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))) N))
	82.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))))) N))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
▶	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
✓	82.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))) #s(literal -1 binary64))))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))

Compiler

Compiled 2 251 to 1 013 computations (55% saved)

simplify304.0ms (2.8%)

Memory

-6.2MiB live, 229.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N (neg.f64 N))) #s(literal 3 binary64)) (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 (neg.f64 N))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N (neg.f64 N))) (log.f64 (fma.f64 N N #s(literal -1 binary64)))))))
cost-diff	128	(+.f64 (pow.f64 (log.f64 (fma.f64 N N (neg.f64 N))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N (neg.f64 N))) (log.f64 (fma.f64 N N #s(literal -1 binary64))))))
cost-diff	128	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N (neg.f64 N))) #s(literal 3 binary64)) (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 (neg.f64 N))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N (neg.f64 N))) (log.f64 (fma.f64 N N #s(literal -1 binary64))))))))
cost-diff	6464	(+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N (neg.f64 N))) (log.f64 (fma.f64 N N #s(literal -1 binary64)))))
cost-diff	0	(/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N)))
cost-diff	0	(fma.f64 N N N)
cost-diff	0	(log.f64 (fma.f64 N N N))
cost-diff	14592	(*.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) N)
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
cost-diff	320	(-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) N)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))
cost-diff	0	(/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))

Rules

6 706×	`lower-fma.f32`
6 700×	`lower-fma.f64`
1 970×	`lower-*.f32`
1 964×	`lower-*.f64`
1 952×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	520
0	94	530
1	156	522
2	275	513
3	639	493
4	1651	489
5	3652	489
6	5259	489
7	7693	489
0	8058	480

Stop Event

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

Calls

Call 1

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

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

localize343.0ms (3.1%)

Memory

37.4MiB live, 513.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5403900390737681	(pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))
accuracy	0.6951715332848188	(pow.f64 (log.f64 (fma.f64 N N (neg.f64 N))) #s(literal 3 binary64))
accuracy	0.775951611432355	(pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64))
accuracy	46.754594177031564	(-.f64 (pow.f64 (log.f64 (fma.f64 N N (neg.f64 N))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)))
accuracy	0.01171875	(log.f64 (fma.f64 N N N))
accuracy	0.2959175293053261	(*.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))))
accuracy	0.32421875	(/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N)))
accuracy	45.143575815955586	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
accuracy	0.12109375	(-.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	0.13671875	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
accuracy	0.32650375976844204	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))
accuracy	2.9935704848054994	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
accuracy	0	(/.f64 #s(literal 1/2 binary64) N)
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
accuracy	0.08984375	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
accuracy	5.635849765403502	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
accuracy	0.09375	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
accuracy	0.13671875	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
accuracy	0.3671875	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
accuracy	2.9935704848054994	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))

Samples

250.0ms	194×	1	valid
25.0ms	62×	0	valid

Compiler

Compiled 514 to 53 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-mult: 43.0ms (22.1% of total)

ival-log: 38.0ms (19.5% of total)

ival-div: 32.0ms (16.4% of total)

adjust: 22.0ms (11.3% of total)

ival-add: 15.0ms (7.7% of total)

ival-sub: 11.0ms (5.7% of total)

ival-pow2: 8.0ms (4.1% of total)

ival-log1p: 8.0ms (4.1% of total)

ival-pow: 8.0ms (4.1% of total)

const: 7.0ms (3.6% of total)

ival-neg: 3.0ms (1.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series92.0ms (0.8%)

Memory

-6.4MiB live, 150.5MiB allocated

Counts

29 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
14.0ms	N	@	inf	(neg (/ (- (pow (log (+ (* N N) (neg N))) 3) (pow (log (+ (* N N) -1)) 3)) (+ (pow (log (+ (* N N) (neg N))) 2) (+ (pow (log (+ (* N N) -1)) 2) (* (log (+ (* N N) (neg N))) (log (+ (* N N) -1)))))))
13.0ms	N	@	-inf	(/ (- (pow (log (+ (* N N) (neg N))) 3) (pow (log (+ (* N N) -1)) 3)) (+ (pow (log (+ (* N N) (neg N))) 2) (+ (pow (log (+ (* N N) -1)) 2) (* (log (+ (* N N) (neg N))) (log (+ (* N N) -1))))))
10.0ms	N	@	-inf	(neg (/ (- (pow (log (+ (* N N) (neg N))) 3) (pow (log (+ (* N N) -1)) 3)) (+ (pow (log (+ (* N N) (neg N))) 2) (+ (pow (log (+ (* N N) -1)) 2) (* (log (+ (* N N) (neg N))) (log (+ (* N N) -1)))))))
7.0ms	N	@	0	(neg (/ (- (pow (log (+ (* N N) (neg N))) 3) (pow (log (+ (* N N) -1)) 3)) (+ (pow (log (+ (* N N) (neg N))) 2) (+ (pow (log (+ (* N N) -1)) 2) (* (log (+ (* N N) (neg N))) (log (+ (* N N) -1)))))))
5.0ms	N	@	inf	(/ (- (pow (log (+ (* N N) (neg N))) 3) (pow (log (+ (* N N) -1)) 3)) (+ (pow (log (+ (* N N) (neg N))) 2) (+ (pow (log (+ (* N N) -1)) 2) (* (log (+ (* N N) (neg N))) (log (+ (* N N) -1))))))

simplify445.0ms (4.1%)

Memory

5.1MiB live, 710.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 244×	`lower-fma.f64`
8 244×	`lower-fma.f32`
6 318×	`lower-+.f64`
6 318×	`lower-+.f32`
5 946×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1442	16794
1	4778	16070
0	9057	15249

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 345

Calls

Call 1

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

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

rewrite362.0ms (3.3%)

Memory

0.9MiB live, 475.9MiB allocated

Rules

4 286×	`lower-/.f32`
4 260×	`lower-/.f64`
3 210×	`lower-*.f32`
3 204×	`lower-*.f64`
2 840×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	417
0	94	392
1	412	318
2	3411	309
0	8932	302

Stop Event

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

Counts

29 → 1 231

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(+.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N)))
(+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N)))
(+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) (/.f64 #s(literal 1 binary64) N))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N))
(fma.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1 binary64) N) (neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal -1 binary64)) N)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1 binary64) N) (.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N))) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1 binary64) N) (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(fma.f64 (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1/2 binary64) N) (neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal -1 binary64)) N)))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1/2 binary64) N) (.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N))) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1/2 binary64) N) (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) (neg.f64 N)))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))) N))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))) (neg.f64 N))
(/.f64 (/.f64 #s(literal 1 binary64) N) (/.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 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (.f64 N (.f64 N N)))) (*.f64 N (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 N (.f64 N N))) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64))))) (.f64 N (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N))) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 N 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)) (-.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 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)))) (.f64 N (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N))) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1/2 binary64) N) N) (.f64 N (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)))) (.f64 N N))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (.f64 N (.f64 N N)))) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 1 binary64)) #s(literal 1 binary64)) N))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 N (.f64 N N))) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64))))) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N))) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 N N))) N))
(/.f64 (.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)) (-.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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N))
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(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (.f64 N (.f64 N N))))) (.f64 N (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (-.f64 (/.f64 (-.f64 #s(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))))
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(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (.f64 (fma.f64 N N N) (fma.f64 N N #s(literal -1 binary64))))) #s(literal 2 binary64))) (log.f64 (/.f64 (fma.f64 N N N) (fma.f64 N N #s(literal -1 binary64))))) (-.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 9 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 9 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 6 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 6 binary64))) (pow.f64 (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N N))) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 6 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (.f64 (fma.f64 N N N) (fma.f64 N N #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 6 binary64))) (log.f64 (/.f64 (fma.f64 N N N) (fma.f64 N N #s(literal -1 binary64)))))) (neg.f64 (fma.f64 (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (.f64 (fma.f64 N N N) (fma.f64 N N #s(literal -1 binary64))))) (-.f64 (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N #s(literal -1 binary64))))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (.f64 (fma.f64 N N N) (fma.f64 N N #s(literal -1 binary64))))) #s(literal 2 binary64))) (log.f64 (/.f64 (fma.f64 N N N) (fma.f64 N N #s(literal -1 binary64)))))) (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N #s(literal -1 binary64))))))))
(pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 6 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 6 binary64))) (pow.f64 (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N N))) #s(literal 3 binary64))) (-.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 9 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 9 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 3 binary64)) (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 N)) #s(literal 6 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 6 binary64)))) #s(literal -1 binary64))
(.f64 (fma.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (.f64 (fma.f64 N N N) (fma.f64 N N #s(literal -1 binary64)))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64))) (log.f64 (/.f64 (fma.f64 N N N) (fma.f64 N N #s(literal -1 binary64)))))
(.f64 (log.f64 (/.f64 (fma.f64 N N N) (fma.f64 N N #s(literal -1 binary64)))) (fma.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (.f64 (fma.f64 N N N) (fma.f64 N N #s(literal -1 binary64)))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 9 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 6 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 6 binary64))) (pow.f64 (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N N))) #s(literal 3 binary64)))))
(*.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 6 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3/2 binary64))) (-.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64)))) #s(literal 3/2 binary64) (*.f64 (log.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64)))) #s(literal 3/2 binary64))))
(pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64)))))
(*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (log.f64 (fma.f64 N N #s(literal -1 binary64))))
(*.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3/2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (fma.f64 N N N)))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 (fma.f64 N N N)))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (fma.f64 N N N))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (log.f64 (fma.f64 N N N))) #s(literal 3/2 binary64) (*.f64 (log.f64 (log.f64 (fma.f64 N N N))) #s(literal 3/2 binary64))))
(pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log.f64 (fma.f64 N N N))))
(*.f64 (log.f64 (fma.f64 N N N)) (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)) (log.f64 (fma.f64 N N N)))
(*.f64 (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (fma.f64 N N N))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (log.f64 (fma.f64 N N N))) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))))) #s(literal 1 binary64)))
(pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64)))))
(*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N #s(literal -1 binary64))))

eval265.0ms (2.4%)

Memory: -1.2MiB live, 350.3MiB allocated
Compiler: Compiled 70 347 to 5 654 computations (92% saved)

prune257.0ms (2.3%)

Memory

18.5MiB live, 408.4MiB allocated

Pruning

45 alts after pruning (38 fresh and 7 done)

	Pruned	Kept	Total
New	1 725	14	1 739
Fresh	6	24	30
Picked	2	3	5
Done	0	4	4
Total	1 733	45	1 778

Accuracy

99.7%

Counts

1 778 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.9%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.9%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.7%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (-.f64 (log1p.f64 (.f64 N (.f64 N N))) (log1p.f64 (fma.f64 N N (neg.f64 N)))) #s(literal 2 binary64))))))
✓	27.6%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	28.1%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 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)))))
	28.4%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (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)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	24.7%	(fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
▶	27.5%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)))
	24.6%	(/.f64 (fma.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) (log.f64 (fma.f64 N N N)) (.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))) (log.f64 (fma.f64 N N N))))
	24.6%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) (log.f64 (fma.f64 N N N))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))) (log.f64 (fma.f64 N N N))))
	27.0%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	26.9%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))))
	26.6%	(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (fma.f64 N N N))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (fma.f64 N N N))))
	26.7%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	26.7%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
	27.0%	(.f64 (/.f64 (neg.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (fma.f64 N N N)))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))))
▶	30.2%	(.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
	30.2%	(*.f64 (log.f64 (fma.f64 N N N)) (/.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (fma.f64 N N N))))
	28.3%	(.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (neg.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (fma.f64 N N N)))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
	29.5%	(.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (-.f64 (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N)) (log.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
✓	29.4%	(*.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))))
	29.4%	(.f64 (log.f64 (fma.f64 N N N)) (exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64))))
✓	25.8%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N (neg.f64 N))) #s(literal 3 binary64)) (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 (neg.f64 N))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N (neg.f64 N))) (log.f64 (fma.f64 N N #s(literal -1 binary64))))))))
	25.8%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N (neg.f64 N))) #s(literal 3 binary64)) (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 (neg.f64 N))) #s(literal 2 binary64)) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64)))))) (.f64 (log.f64 (fma.f64 N N (neg.f64 N))) (log.f64 (fma.f64 N N #s(literal -1 binary64))))))))
	25.8%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N (neg.f64 N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N (neg.f64 N)) (fma.f64 N N #s(literal -1 binary64))))))
	30.1%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (fma.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (fma.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))))
	29.8%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))
✓	29.8%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
	30.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	30.0%	(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) N)))
	29.4%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	93.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 #s(approx (/ (+ (/ 1/4 N) -1/3) (* N N)) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N)))) #s(literal 1 binary64))) N))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N))
✓	91.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	93.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))) N))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
▶	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))))))
	91.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
▶	95.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 (+.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)))))
	94.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 (+.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)))))
✓	82.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
▶	90.9%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))

Compiler

Compiled 2 441 to 1 121 computations (54.1% saved)

simplify302.0ms (2.8%)

Memory

-11.1MiB live, 354.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))
cost-diff	0	(-.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)))
cost-diff	6592	(fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
cost-diff	20608	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)))
cost-diff	0	(log.f64 (fma.f64 N N N))
cost-diff	0	(*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
cost-diff	128	(/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))
cost-diff	14784	(.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
cost-diff	0	(+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))))
cost-diff	0	(/.f64 N (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))))))
cost-diff	0	(+.f64 N #s(literal -1/2 binary64))
cost-diff	0	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
cost-diff	0	#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) 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))))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.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

11 020×	`lower-fma.f32`
11 010×	`lower-fma.f64`
2 898×	`lower--.f32`
2 894×	`lower--.f64`
2 792×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	677
0	123	663
1	212	655
2	419	647
3	926	630
4	2253	601
5	6823	600
0	8329	593

Stop Event

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

Calls

Call 1

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

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

localize369.0ms (3.4%)

Memory

9.3MiB live, 394.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5162887695368841	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	0.5319137695368841	(pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))
accuracy	0.5403900390737681	(pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))
accuracy	46.18331467391212	(fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
accuracy	0.2578125	(/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))
accuracy	0.33984375	(.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
accuracy	0.37109375	(*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
accuracy	44.67360956083591	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
accuracy	0.1640625	(fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64))
accuracy	0.2734375	(.f64 N (.f64 N N))
accuracy	0.3756637695368841	(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
accuracy	2.9935704848054994	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))))))
accuracy	0	(*.f64 N N)
accuracy	0	#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))
accuracy	0.23828125	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
accuracy	5.635849765403502	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
accuracy	0.37890625	(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
accuracy	0.46875	(/.f64 #s(literal -1/24 binary64) N)
accuracy	2.965933869814068	#s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) 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)))
accuracy	2.9935704848054994	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 (+.f64 (/.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

228.0ms	192×	1	valid
37.0ms	64×	0	valid

Compiler

Compiled 522 to 70 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 218.0ms

ival-log: 56.0ms (25.7% of total)

ival-div: 36.0ms (16.5% of total)

adjust: 27.0ms (12.4% of total)

ival-mult: 27.0ms (12.4% of total)

ival-add: 20.0ms (9.2% of total)

const: 17.0ms (7.8% of total)

ival-pow2: 12.0ms (5.5% of total)

ival-sub: 9.0ms (4.1% of total)

ival-log1p: 8.0ms (3.7% of total)

ival-neg: 4.0ms (1.8% of total)

exact: 1.0ms (0.5% of total)

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

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

series310.0ms (2.8%)

Memory

-178.9MiB live, 90.4MiB allocated

Counts

30 → 360

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

Calls

90 calls:

Time	Variable		Point	Expression
20.0ms	N	@	0	(/ (+ (* (- (pow (log (+ (* N N) -1)) 2) (pow (log (+ N -1)) 2)) (log N)) (* (log (* (+ (* N N) -1) (+ N -1))) (neg (pow (log N) 2)))) (* (log (* (+ (* N N) -1) (+ N -1))) (log N)))
7.0ms	N	@	inf	(/ (+ (* (- (pow (log (+ (* N N) -1)) 2) (pow (log (+ N -1)) 2)) (log N)) (* (log (* (+ (* N N) -1) (+ N -1))) (neg (pow (log N) 2)))) (* (log (* (+ (* N N) -1) (+ N -1))) (log N)))
5.0ms	N	@	-inf	(/ (+ (* (- (pow (log (+ (* N N) -1)) 2) (pow (log (+ N -1)) 2)) (log N)) (* (log (* (+ (* N N) -1) (+ N -1))) (neg (pow (log N) 2)))) (* (log (* (+ (* N N) -1) (+ N -1))) (log N)))
1.0ms	N	@	inf	(/ 1 (neg (log (+ (* N N) N))))
1.0ms	N	@	-inf	(+ (* (- (pow (log (+ (* N N) -1)) 2) (pow (log (+ N -1)) 2)) (log N)) (* (log (* (+ (* N N) -1) (+ N -1))) (neg (pow (log N) 2))))

simplify497.0ms (4.5%)

Memory

32.3MiB live, 576.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 980×	`lower-fma.f64`
9 980×	`lower-fma.f32`
6 114×	`lower-+.f64`
6 114×	`lower-+.f32`
4 654×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	883	7412
1	2721	6809
0	8565	6495

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 352

Calls

Call 1

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

rewrite369.0ms (3.4%)

Memory

-17.9MiB live, 502.4MiB allocated

Rules

3 802×	`lower-*.f32`
3 786×	`lower-*.f64`
3 150×	`lower-/.f32`
3 128×	`lower-/.f64`
2 684×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	512
0	123	495
1	535	485
2	4169	485
0	8170	469

Stop Event

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

Counts

30 → 536

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

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

eval176.0ms (1.6%)

Memory: -1.6MiB live, 257.2MiB allocated
Compiler: Compiled 30 457 to 3 088 computations (89.9% saved)

prune210.0ms (1.9%)

Memory

2.9MiB live, 395.0MiB allocated

Pruning

52 alts after pruning (43 fresh and 9 done)

	Pruned	Kept	Total
New	928	20	948
Fresh	10	23	33
Picked	3	2	5
Done	0	7	7
Total	941	52	993

Accuracy

99.7%

Counts

993 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.9%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.9%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.7%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (-.f64 (log1p.f64 (.f64 N (.f64 N N))) (log1p.f64 (fma.f64 N N (neg.f64 N)))) #s(literal 2 binary64))))))
✓	27.6%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	28.1%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3/4 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 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)))))
	24.7%	(fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
✓	27.5%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)))
	24.6%	(/.f64 (fma.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) (log.f64 (fma.f64 N N N)) (.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))) (log.f64 (fma.f64 N N N))))
	28.0%	(/.f64 (fma.f64 (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log1p.f64 N)) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)))
	24.6%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))) (log.f64 (fma.f64 N N N))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))) (log.f64 (fma.f64 N N N))))
	27.0%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	26.6%	(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (fma.f64 N N N))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (fma.f64 N N N))))
	26.7%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	26.7%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
	27.0%	(.f64 (/.f64 (neg.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (fma.f64 N N N)))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))))
	30.2%	(*.f64 (/.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (neg.f64 (log.f64 (fma.f64 N N N)))) (log.f64 (fma.f64 N N N)))
	30.2%	(.f64 (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
	30.2%	(.f64 (.f64 (-.f64 (log.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (log.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (.f64 N N)))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
	30.2%	(.f64 (.f64 (-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N)) (log.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
	30.2%	(.f64 (.f64 (-.f64 (log.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
	30.2%	(.f64 (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
	30.2%	(.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (log.f64 (fma.f64 N (.f64 N N) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (log.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (.f64 N N)))))))))
	30.2%	(.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N)) (log.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))))))
	30.2%	(.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (log.f64 (.f64 (fma.f64 N N N) (-.f64 (.f64 N N) N))) (log.f64 (-.f64 (*.f64 N N) N))))))
	30.2%	(.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (log.f64 (/.f64 (fma.f64 N (-.f64 N (.f64 N N)) (.f64 N (.f64 N (.f64 N N)))) (fma.f64 N (.f64 N N) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))))))))
	26.5%	(.f64 (.f64 #s(approx (log (+ (* N N) N)) (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N (.f64 N N))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
	29.5%	(.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (-.f64 (log.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N)) (log.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
✓	29.4%	(*.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N N))))
	29.4%	(.f64 (log.f64 (fma.f64 N N N)) (exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64))))
✓	25.8%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N (neg.f64 N))) #s(literal 3 binary64)) (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 (neg.f64 N))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N (neg.f64 N))) (log.f64 (fma.f64 N N #s(literal -1 binary64))))))))
	25.8%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N (neg.f64 N))) #s(literal 3 binary64)) (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 (neg.f64 N))) #s(literal 2 binary64)) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64)))))) (.f64 (log.f64 (fma.f64 N N (neg.f64 N))) (log.f64 (fma.f64 N N #s(literal -1 binary64))))))))
	25.8%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N (neg.f64 N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N (neg.f64 N)) (fma.f64 N N #s(literal -1 binary64))))))
	30.1%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (fma.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (fma.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))))
	29.8%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))
✓	29.8%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
	30.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	30.0%	(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) N)))
	29.4%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (pow.f64 (pow.f64 #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (neg.f64 N) N)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	91.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	93.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
	95.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 (/.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))))
	91.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
	95.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (/.f64 (.f64 (+.f64 #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)) (.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 (.f64 N N)))) (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)) (+.f64 #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)) N) #s(literal -1 binary64))))))))
	95.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (.f64 (+.f64 #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (.f64 N (*.f64 N N)))) #s(literal -1 binary64)) (neg.f64 N)))))
	91.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 (+.f64 #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) (neg.f64 N)))))
	94.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) -1) (neg N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))))))
✓	82.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
✓	90.9%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
	90.8%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))))

Compiler

Compiled 4 050 to 1 157 computations (71.4% saved)

regimes94.0ms (0.9%)

Memory

-9.7MiB live, 107.9MiB allocated

Counts

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

Outputs

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

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

Calls

2 calls:

69.0ms	N
21.0ms	(-.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)

regimes40.0ms (0.4%)

Memory

-1.3MiB live, 37.1MiB allocated

Counts

52 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

25.0ms	N
12.0ms	(-.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)

regimes58.0ms (0.5%)

Memory

13.2MiB live, 50.0MiB allocated

Counts

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

Outputs

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

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

Calls

2 calls:

44.0ms	N
11.0ms	(-.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)

regimes30.0ms (0.3%)

Memory

-8.6MiB live, 41.9MiB allocated

Counts

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

Outputs

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

Calls

2 calls:

16.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
12.0ms	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)

regimes19.0ms (0.2%)

Memory

11.6MiB live, 48.7MiB allocated

Counts

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

Outputs

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

Calls

2 calls:

10.0ms	N
7.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes18.0ms (0.2%)

Memory

6.2MiB live, 43.3MiB 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)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 (+.f64 #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) -1) (neg N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.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)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (.f64 (+.f64 #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (.f64 N (*.f64 N N)))) #s(literal -1 binary64)) (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 #s(approx (/ (+ (/ 1/4 N) -1/3) (* N N)) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N)))) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (neg.f64 N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))) N))

Outputs

#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 (/.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	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
8.0ms	N

Results

Accuracy	Segments	Branch
95.8%	1	`N`
95.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes14.0ms (0.1%)

Memory

1.7MiB live, 38.9MiB 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)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 (+.f64 #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) -1) (neg N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.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)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (.f64 (+.f64 #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (.f64 N (*.f64 N N)))) #s(literal -1 binary64)) (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 #s(approx (/ (+ (/ 1/4 N) -1/3) (* N N)) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N)))) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))

Outputs

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

Calls

2 calls:

7.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
6.0ms	N

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes14.0ms (0.1%)

Memory

-10.9MiB live, 35.3MiB 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)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 (+.f64 #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) #s(approx (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) -1) (neg N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.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)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N))

Outputs

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

Calls

2 calls:

9.0ms	N
5.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes10.0ms (0.1%)

Memory

-18.2MiB live, 18.3MiB 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)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 (+.f64 #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))

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

Calls

2 calls:

6.0ms	N
3.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
93.9%	1	`N`
93.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB 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)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 (+.f64 #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))))) N))

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

Calls

2 calls:

3.0ms	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

12.4MiB live, 12.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
91.1%	1	`N`
91.1%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes49.0ms (0.4%)

Memory

-29.9MiB live, 9.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
90.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
90.9%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

7.8MiB live, 7.8MiB 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:

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

Results

Accuracy	Segments	Branch
82.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
82.3%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0008095068930584759	0.0014610248490054545

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0008095068930584759	0.0014610248490054545

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0008095068930584759	0.0014610248490054545

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0008095068930584759	0.0014610248490054545

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0008095068930584759	0.0014610248490054545

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify37.0ms (0.3%)

Memory

-0.6MiB live, 38.3MiB allocated

Algorithm

1×	egg-herbie

Rules

210×	`unsub-neg_binary64`
140×	`neg-mul-1_binary64`
82×	`+-commutative_binary64`
82×	`distribute-neg-out_binary64`
74×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	605
1	166	605
2	214	605
3	265	603
4	322	603
5	358	603
6	393	603
7	498	603
8	608	603
9	620	603
10	622	603

Stop Event

1×

saturated

Calls

Call 1

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

soundness1.4s (12.7%)

Memory

-2.0MiB live, 1 117.1MiB allocated

Rules

11 472×	`lower-fma.f64`
11 472×	`lower-fma.f32`
9 980×	`lower-fma.f64`
9 980×	`lower-fma.f32`
8 244×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	348
1	250	302
2	588	301
3	1587	295
4	4201	287
5	6272	287
6	7327	287
0	8056	278
0	883	7412
1	2721	6809
0	8565	6495
0	1442	16794
1	4778	16070
0	9057	15249
0	76	512
0	123	495
1	535	485
2	4169	485
0	8170	469
0	50	259
0	89	209
1	366	195
2	3024	190
0	8140	190
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

Compiler

Compiled 830 to 370 computations (55.4% saved)

preprocess98.0ms (0.9%)

Memory: 3.2MiB live, 275.5MiB allocated
Compiler: Compiled 780 to 230 computations (70.5% 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	122	605
1	166	605
2	214	605
3	265	603
4	322	603
5	358	603
6	393	603
7	498	603
8	608	603
9	620	603
10	622	603

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	122	605
1	166	605
2	214	605
3	265	603
4	322	603
5	358	603
6	393	603
7	498	603
8	608	603
9	620	603
10	622	603

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (12.2%)

explain118.0ms (1.1%)

preprocess25.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize39.0ms (0.4%)

series52.0ms (0.5%)

simplify322.0ms (2.9%)

rewrite330.0ms (3%)

eval93.0ms (0.9%)

prune116.0ms (1.1%)

simplify276.0ms (2.5%)

localize299.0ms (2.7%)

series127.0ms (1.2%)

simplify534.0ms (4.9%)

rewrite412.0ms (3.8%)

eval345.0ms (3.1%)

prune339.0ms (3.1%)

simplify304.0ms (2.8%)

localize343.0ms (3.1%)

series92.0ms (0.8%)

simplify445.0ms (4.1%)

rewrite362.0ms (3.3%)

eval265.0ms (2.4%)

prune257.0ms (2.3%)

simplify302.0ms (2.8%)

localize369.0ms (3.4%)

series310.0ms (2.8%)

simplify497.0ms (4.5%)

rewrite369.0ms (3.4%)

eval176.0ms (1.6%)

prune210.0ms (1.9%)

regimes94.0ms (0.9%)

regimes40.0ms (0.4%)

regimes58.0ms (0.5%)

regimes30.0ms (0.3%)

regimes19.0ms (0.2%)

regimes18.0ms (0.2%)

regimes14.0ms (0.1%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes49.0ms (0.4%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify37.0ms (0.3%)

soundness1.4s (12.7%)

preprocess98.0ms (0.9%)

end0.0ms (0%)

Profiling

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

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

Iter	Nodes	Cost
0	122	605
1	166	605
2	214	605
3	265	603
4	322	603
5	358	603
6	393	603
7	498	603
8	608	603
9	620	603
10	622	603