Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.4s (13.7%)

Memory

43.1MiB live, 1 546.1MiB allocated

Samples

1.0s	6 422×	1	valid
108.0ms	1 834×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 821.0ms

ival-log1p: 345.0ms (42% of total)

ival-log: 203.0ms (24.7% of total)

adjust: 129.0ms (15.7% of total)

ival-sub: 82.0ms (10% of total)

ival->: 23.0ms (2.8% of total)

ival-<: 16.0ms (1.9% of total)

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

exact: 9.0ms (1.1% of total)

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

Bogosity

explain130.0ms (1.3%)

Memory

-7.4MiB live, 192.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
253	1	(65.84417666314376)	1	(8.696738664379646)	`(-.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	253	0

Confusion

	Predicted +	Predicted -
+	252	1
-	1	2

Precision

0.9960474308300395

Recall

0.9960474308300395

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	252	0	1
-	1	0	2

Precision?

0.9960474308300395

Recall?

0.9960474308300395

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms	404×	1	valid
6.0ms	108×	0	valid

Compiler

Compiled 48 to 22 computations (54.2% saved)

Precisions

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

ival-log1p: 16.0ms (32.2% of total)

ival-log: 14.0ms (28.2% of total)

adjust: 13.0ms (26.1% of total)

ival-sub: 4.0ms (8% 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)

preprocess21.0ms (0.2%)

Memory

-2.0MiB live, 36.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.9%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify7.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize77.0ms (0.8%)

Memory

-30.8MiB live, 51.6MiB 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	49.36999649496968	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

42.0ms	202×	1	valid
3.0ms	54×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-log: 20.0ms (54.7% of total)

ival-log1p: 8.0ms (21.9% of total)

adjust: 5.0ms (13.7% of total)

ival-sub: 2.0ms (5.5% of total)

ival-add: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.5%)

Memory

20.4MiB live, 96.1MiB 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
25.0ms	N	@	0	(log N)
18.0ms	N	@	-inf	(log N)
6.0ms	N	@	inf	(log N)
0.0ms	N	@	-inf	(- (log (+ N 1)) (log N))
0.0ms	N	@	0	(log (+ N 1))

simplify234.0ms (2.4%)

Memory

13.3MiB live, 284.9MiB 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)))

rewrite249.0ms (2.5%)

Memory

22.1MiB live, 378.4MiB 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))

eval100.0ms (1%)

Memory: -20.0MiB live, 107.9MiB allocated
Compiler: Compiled 13 693 to 1 544 computations (88.7% saved)

prune84.0ms (0.8%)

Memory

-0.1MiB live, 190.9MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	452	18	470
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	453	18	471

Accuracy

99.5%

Counts

471 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.4%	(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))))))
	20.9%	(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)))))
	22.9%	(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)))))
	24.4%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))))) (.f64 (log.f64 N) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64))))))))
	22.8%	(/.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)))))
▶	22.9%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	22.8%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
	22.9%	(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
	26.1%	(/.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))))
	25.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
▶	26.1%	(.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)))))
▶	26.1%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	25.3%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	25.4%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
	93.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	97.5%	#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))
	96.3%	#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))
▶	85.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 866 to 408 computations (52.9% saved)

simplify167.0ms (1.7%)

Memory

-23.5MiB live, 157.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

4 632×	`lower-fma.f32`
4 630×	`lower-fma.f64`
2 372×	`lower-*.f32`
2 366×	`lower-*.f64`
1 480×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	292
0	71	274
1	116	273
2	197	273
3	374	273
4	691	273
5	1270	273
6	2634	273
7	4245	273
8	6355	273
9	7815	273
0	8010	273

Stop Event

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

Calls

Call 1

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

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

localize245.0ms (2.5%)

Memory

-3.4MiB live, 233.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.533535009768442	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	0.8974917970327537	(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
accuracy	0.9476856447171741	(pow.f64 (log.f64 N) #s(literal 4 binary64))
accuracy	48.5506218082802	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
accuracy	0.2890625	(/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))
accuracy	0.3125	(*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
accuracy	0.33203125	(.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	47.28615091383357	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
accuracy	0	(/.f64 N (+.f64 N #s(literal 1 binary64)))
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
accuracy	47.28615091383357	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
accuracy	0	(/.f64 #s(literal 1 binary64) N)
accuracy	9.333532963353344	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy	0.07421875	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
accuracy	0.140625	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
accuracy	0.34375	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
accuracy	1.5600018532431918	#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

119.0ms	192×	1	valid
59.0ms	64×	0	valid

Compiler

Compiled 301 to 39 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-log: 20.0ms (18% of total)

ival-div: 18.0ms (16.2% of total)

adjust: 14.0ms (12.6% of total)

ival-mult: 11.0ms (9.9% of total)

ival-log1p: 10.0ms (9% of total)

ival-pow2: 8.0ms (7.2% of total)

ival-add: 8.0ms (7.2% of total)

ival-pow: 7.0ms (6.3% of total)

ival-sub: 6.0ms (5.4% of total)

const: 6.0ms (5.4% of total)

ival-neg: 3.0ms (2.7% of total)

exact: 1.0ms (0.9% of total)

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

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

series34.0ms (0.3%)

Memory

0.7MiB live, 38.5MiB 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 (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (patch (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 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 (/.f64 N (+.f64 N #s(literal 1 binary64))) (patch (/.f64 N (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<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 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (patch (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (log1p.f64 N) (patch (log1p.f64 N) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) (patch (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (patch (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 N) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())

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

Calls

66 calls:

Time	Variable		Point	Expression
5.0ms	N	@	-inf	(/ (- (pow (log (+ 1 N)) 4) (pow (log N) 4)) (* (log (+ (* N N) N)) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))
4.0ms	N	@	inf	(/ (- (pow (log (+ 1 N)) 4) (pow (log N) 4)) (* (log (+ (* N N) N)) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))
1.0ms	N	@	inf	(/ 1 (neg (log (+ (* N N) N))))
1.0ms	N	@	0	(/ (- (pow (log (+ 1 N)) 4) (pow (log N) 4)) (* (log (+ (* N N) N)) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))
1.0ms	N	@	-inf	(/ 1 (neg (log (+ (* N N) N))))

simplify304.0ms (3.1%)

Memory

14.8MiB live, 336.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 396×	`lower-fma.f64`
8 396×	`lower-fma.f32`
4 730×	`lower-*.f64`
4 730×	`lower-*.f32`
4 706×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	695	5790
1	2186	5155
2	7487	5147
0	8269	4937

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 260

Calls

Call 1

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

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

rewrite319.0ms (3.2%)

Memory

8.8MiB live, 344.6MiB allocated

Rules

4 474×	`lower-*.f32`
4 468×	`lower-*.f64`
4 384×	`lower-/.f32`
4 368×	`lower-/.f64`
2 470×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	203
0	71	172
1	298	170
2	2097	170
0	8491	170

Stop Event

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

Counts

22 → 756

Calls

Call 1

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

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

eval260.0ms (2.6%)

Memory: 10.0MiB live, 259.0MiB allocated
Compiler: Compiled 37 768 to 3 594 computations (90.5% saved)

prune214.0ms (2.2%)

Memory

1.9MiB live, 468.5MiB allocated

Pruning

40 alts after pruning (37 fresh and 3 done)

	Pruned	Kept	Total
New	1 235	26	1 261
Fresh	2	11	13
Picked	2	3	5
Done	0	0	0
Total	1 239	40	1 279

Accuracy

99.7%

Counts

1 279 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.6%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))
	24.4%	(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))))))
	20.9%	(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)))))
	22.9%	(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)))))
	24.4%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64)))))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))))) (.f64 (log.f64 N) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64))))))))
	23.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))
	22.8%	(/.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)))))
▶	20.9%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
✓	22.9%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	23.4%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (log.f64 (fma.f64 N N N))) (.f64 (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (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)))))) (.f64 (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (fma.f64 N N N))))
	22.8%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
	23.9%	(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 4 binary64) (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	22.9%	(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
	23.1%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
	97.2%	(/.f64 #s(approx (- (pow (log (+ 1 N)) 4) (pow (log N) 4)) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (log.f64 N)) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (.f64 N N)) (fma.f64 #s(literal -4 binary64) (fma.f64 (neg.f64 (log.f64 N)) (/.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (.f64 N (.f64 N N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 (log.f64 N) #s(literal -1/2 binary64) #s(literal 11/12 binary64))) (.f64 N (.f64 N N))) (fma.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) N) (.f64 (fma.f64 (log.f64 N) #s(literal 2/3 binary64) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 N N)))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 2 binary64)) (.f64 N (.f64 N N)))))))) N)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	25.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
▶	26.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
	26.1%	(.f64 (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N))))
▶	26.1%	(.f64 (.f64 (-.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (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)))))
	26.1%	(.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)) (log1p.f64 (-.f64 (*.f64 N N) N))))))
	26.1%	(.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 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))))
	26.1%	(.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 N) (.f64 N (.f64 N (.f64 N N)))))))))))
	24.5%	(.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 #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.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)))))))
	24.5%	(.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) #s(approx (/ 1 (neg (log (+ (* N N) N)))) (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 N)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 N N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))))) (/.f64 #s(literal 1/12 binary64) (.f64 (.f64 N (.f64 N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 N (.f64 N N)) (neg.f64 (log.f64 N)))) (/.f64 #s(literal 1/16 binary64) (.f64 N (.f64 (.f64 N N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))))))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 N N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))
	97.0%	(.f64 #s(approx ( (log (+ (* N N) N)) (log (/ N (+ N 1)))) (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 N) N) (+.f64 (+.f64 (/.f64 (.f64 (log.f64 N) #s(literal 1/2 binary64)) (.f64 N (.f64 N N))) (fma.f64 (log.f64 N) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (/.f64 (.f64 #s(literal -2/3 binary64) (log.f64 N)) (.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 11/12 binary64) (.f64 N (.f64 N N))))) N)) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
✓	26.1%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	97.5%	(neg.f64 #s(approx (log (/ N (+ N 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N))) N)))
	25.3%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	25.4%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
	24.1%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
	97.5%	#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))
	97.5%	#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))
	96.3%	#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))
▶	93.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	97.5%	#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))
	97.3%	#s(approx (- (log (+ N 1)) (log 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)))) (/.f64 #s(literal 1 binary64) (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))
	97.3%	#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))
▶	97.5%	#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)))))
✓	85.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	97.4%	#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 2 721 to 1 258 computations (53.8% saved)

simplify219.0ms (2.2%)

Memory

-14.5MiB live, 320.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log1p.f64 N)
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
cost-diff	0	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
cost-diff	512	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
cost-diff	0	(-.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
cost-diff	0	(.f64 (-.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64)))) (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	320	(.f64 (.f64 (-.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (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)))))
cost-diff	0	(/.f64 N (+.f64 N #s(literal 1 binary64)))
cost-diff	0	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
cost-diff	0	(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 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

13 362×	`lower-fma.f32`
13 358×	`lower-fma.f64`
4 124×	`lower-*.f32`
4 114×	`lower-*.f64`
2 504×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	492
0	103	486
1	170	482
2	355	478
3	1134	473
4	4702	471
0	8531	471

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

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

localize414.0ms (4.2%)

Memory

-17.5MiB live, 470.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.9476856447171741	(pow.f64 (log.f64 N) #s(literal 4 binary64))
accuracy	47.28615091383359	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
accuracy	47.77791181864948	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
accuracy	48.5506218082802	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
accuracy	0.3125	(.f64 (-.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
accuracy	0.33203125	(.f64 (.f64 (-.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (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)))))
accuracy	0.5625	(-.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
accuracy	47.28615091383359	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0.046875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
accuracy	0.203125	(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
accuracy	47.28615091383359	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
accuracy	0	(/.f64 #s(literal 1/2 binary64) N)
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
accuracy	0.0546875	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
accuracy	4.077799145582228	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
accuracy	0.07421875	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
accuracy	0.140625	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
accuracy	0.34375	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
accuracy	1.5600018532431918	#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

177.0ms	191×	1	valid
28.0ms	64×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 502 to 56 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-log: 35.0ms (21.1% of total)

ival-div: 31.0ms (18.7% of total)

ival-mult: 25.0ms (15.1% of total)

adjust: 19.0ms (11.5% of total)

ival-add: 12.0ms (7.2% of total)

ival-sub: 9.0ms (5.4% of total)

ival-log1p: 9.0ms (5.4% of total)

ival-pow2: 8.0ms (4.8% of total)

const: 7.0ms (4.2% of total)

ival-pow: 7.0ms (4.2% of total)

ival-neg: 3.0ms (1.8% of total)

exact: 1.0ms (0.6% of total)

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

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

series44.0ms (0.4%)

Memory

15.5MiB live, 54.5MiB allocated

Counts

26 → 312

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

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

Calls

78 calls:

Time	Variable		Point	Expression
10.0ms	N	@	-inf	(/ (- (pow (log (+ 1 N)) 4) (pow (log N) 4)) (* (/ (neg (* (log (+ (* N N) N)) (log (/ (+ N 1) N)))) (log (/ N (+ N 1)))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))
5.0ms	N	@	inf	(/ (- (pow (log (+ 1 N)) 4) (pow (log N) 4)) (* (/ (neg (* (log (+ (* N N) N)) (log (/ (+ N 1) N)))) (log (/ N (+ N 1)))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))
2.0ms	N	@	inf	(* (* (- (log (* (+ (* N N) -1) N)) (log (+ N -1))) (log (/ N (+ N 1)))) (/ 1 (neg (log (+ (* N N) N)))))
2.0ms	N	@	-inf	(* (* (- (log (* (+ (* N N) -1) N)) (log (+ N -1))) (log (/ N (+ N 1)))) (/ 1 (neg (log (+ (* N N) N)))))
2.0ms	N	@	0	(/ (- (pow (log (+ 1 N)) 4) (pow (log N) 4)) (* (/ (neg (* (log (+ (* N N) N)) (log (/ (+ N 1) N)))) (log (/ N (+ N 1)))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))

simplify416.0ms (4.2%)

Memory

20.1MiB live, 291.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 132×	`lower-fma.f64`
9 132×	`lower-fma.f32`
6 766×	`lower-+.f64`
6 766×	`lower-+.f32`
5 140×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	965	8833
1	3165	7817
0	8629	7478

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 304

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

rewrite433.0ms (4.4%)

Memory

-3.1MiB live, 281.6MiB allocated

Rules

5 758×	`lower-*.f32`
5 748×	`lower-*.f64`
3 794×	`lower-/.f32`
3 766×	`lower-/.f64`
3 536×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	287
0	103	214
1	426	196
2	3224	196
0	9375	196

Stop Event

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

Counts

26 → 1 064

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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
(/.f64 N (+.f64 N #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (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 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))
(.f64 (-.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(-.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
(log1p.f64 N)
(/.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 N #s(literal 1 binary64))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(pow.f64 (log.f64 N) #s(literal 4 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 (/.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))
(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 (/.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 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))
(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)))))
(/.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 #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 #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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(pow.f64 (/.f64 (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 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 #s(literal 1 binary64) N) N)) (log.f64 (fma.f64 N N N)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (log.f64 (fma.f64 N N N)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64))
(.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (log.f64 (fma.f64 N N N)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N N)))))
(*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (/.f64 (log.f64 (fma.f64 N N N)) (neg.f64 (log.f64 (fma.f64 N N N)))))
(*.f64 (log.f64 (fma.f64 N N N)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (fma.f64 N N N))))
(*.f64 (neg.f64 (log.f64 (fma.f64 N N N))) (/.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (fma.f64 N N N))))
(.f64 (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (fma.f64 N N N))))
(.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))))
(.f64 (.f64 (log.f64 (/.f64 N (+.f64 #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 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (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 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (pow.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (fma.f64 N N N))) (log.f64 (fma.f64 N N N)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (log.f64 (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (fma.f64 N N N))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (log.f64 (fma.f64 N N N))))
(*.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N N))) (log.f64 (fma.f64 N N N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (log.f64 (fma.f64 N N N)) (*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (log.f64 (fma.f64 N N N))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (fma.f64 N N N))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (log.f64 (fma.f64 N N N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))
(.f64 (pow.f64 (/.f64 (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 12 binary64)) (pow.f64 (log.f64 N) #s(literal 12 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 8 binary64)) (pow.f64 (log.f64 N) #s(literal 8 binary64))) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 4 binary64)))))
(.f64 (pow.f64 (/.f64 (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 8 binary64)) (pow.f64 (log.f64 N) #s(literal 8 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (log.f64 N))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 N))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (log.f64 N)) (*.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64) (log.f64 (log.f64 N))))
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (log.f64 N)))
(*.f64 (log.f64 N) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (log.f64 N))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 N)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (log.f64 N)) #s(literal 4 binary64)))

eval328.0ms (3.3%)

Memory: -2.4MiB live, 338.4MiB allocated
Compiler: Compiled 57 172 to 5 065 computations (91.1% saved)

prune509.0ms (5.1%)

Memory

6.7MiB live, 497.8MiB allocated

Pruning

54 alts after pruning (48 fresh and 6 done)

	Pruned	Kept	Total
New	1 681	25	1 706
Fresh	9	23	32
Picked	2	3	5
Done	0	3	3
Total	1 692	54	1 746

Accuracy

99.8%

Counts

1 746 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.6%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))
	20.9%	(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)))))
	22.9%	(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)))))
	25.3%	(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	23.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))
	22.8%	(/.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)))))
	21.8%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	22.0%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	21.9%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	21.9%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 8 binary64)) (pow.f64 (log.f64 N) #s(literal 8 binary64))) (.f64 (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	21.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	21.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	22.1%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (/.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)))) (/.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))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	21.9%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (pow.f64 (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	21.9%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (-.f64 (log1p.f64 N) (log.f64 N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	20.3%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) (-.f64 (log.f64 N) (log1p.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	20.1%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) (+.f64 (log.f64 (/.f64 N (fma.f64 N (.f64 N N) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (.f64 N N) N)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
✓	20.9%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
✓	22.9%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	23.4%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (log.f64 (fma.f64 N N N))) (.f64 (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (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)))))) (.f64 (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (fma.f64 N N N))))
	22.8%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
	20.4%	(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 4 binary64) (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	23.9%	(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 4 binary64) (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	22.9%	(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
	23.1%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
▶	25.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
✓	26.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
	94.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))
	97.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (.f64 N (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))))
▶	97.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ 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)))))
	96.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ 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)))))
	26.1%	(.f64 (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N))))
	26.1%	(.f64 (+.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (.f64 N (fma.f64 N N #s(literal -1 binary64))))) (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (neg.f64 (log.f64 (+.f64 N #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
	26.1%	(.f64 (.f64 (-.f64 (/.f64 (pow.f64 (log.f64 (.f64 N (fma.f64 N N #s(literal -1 binary64)))) #s(literal 2 binary64)) (log.f64 (.f64 (.f64 N (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 (*.f64 N (fma.f64 N N #s(literal -1 binary64))) (+.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)))))
	26.1%	(.f64 (.f64 (-.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N N))))
▶	24.1%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (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)))))
	26.1%	(.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)) (log1p.f64 (-.f64 (*.f64 N N) N))))))
	26.1%	(.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 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))))
	26.1%	(.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 N) (.f64 N (.f64 N (.f64 N N)))))))))))
	24.5%	(.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 #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.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)))))))
✓	26.1%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	25.3%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	25.4%	(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))
	24.1%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
	96.3%	#s(approx (/ 1 (/ -1 (log (/ N (+ N 1))))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
	97.5%	#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))
	96.3%	#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))
✓	93.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	97.5%	#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))
	97.3%	#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))
	97.5%	#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))))))))
✓	85.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	97.4%	#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))))
▶	93.3%	#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 3 916 to 1 742 computations (55.5% saved)

simplify183.0ms (1.8%)

Memory

-4.1MiB live, 113.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
cost-diff	0	(log1p.f64 N)
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
cost-diff	13184	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (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 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (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	15936	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (fma.f64 N N N))))
cost-diff	0	(/.f64 (+.f64 N #s(literal 1 binary64)) N)
cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
cost-diff	192	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) 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 (/ -1 (log (/ 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)))))
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	128	(neg.f64 (fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N)))
cost-diff	1024	(fma.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N)) (neg.f64 N))

Rules

3 474×	`lower-*.f32`
3 462×	`lower-*.f64`
2 902×	`lower-fma.f32`
2 896×	`lower-fma.f64`
2 028×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	535
0	109	577
1	196	473
2	446	465
3	1339	437
4	4149	437
5	6595	437
0	8101	431

Stop Event

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

Calls

Call 1

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

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

localize377.0ms (3.8%)

Memory

18.8MiB live, 336.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.49904252930532605	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.533535009768442	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	0.9476856447171741	(pow.f64 (log.f64 N) #s(literal 4 binary64))
accuracy	47.428973346642806	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))
accuracy	0.3125	(*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (fma.f64 N N N)))
accuracy	0.33203125	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (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	47.28615091383356	(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
accuracy	47.28615091383356	(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0.046875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
accuracy	0.203125	(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
accuracy	47.77791181864948	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
accuracy	0	(*.f64 N N)
accuracy	0	#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))
accuracy	0.265625	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
accuracy	4.077799145582228	#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	0.10546875	(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
accuracy	0.33203125	(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
accuracy	0.3671875	(/.f64 #s(literal -1/24 binary64) N)
accuracy	1.3350194498450563	#s(approx (/ -1 (log (/ 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))))

Samples

271.0ms	200×	1	valid
24.0ms	55×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 521 to 60 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-log: 60.0ms (23.2% of total)

ival-neg: 51.0ms (19.7% of total)

ival-div: 40.0ms (15.4% of total)

ival-mult: 37.0ms (14.3% of total)

adjust: 18.0ms (7% of total)

ival-add: 14.0ms (5.4% of total)

ival-pow2: 10.0ms (3.9% of total)

const: 10.0ms (3.9% of total)

ival-log1p: 7.0ms (2.7% of total)

ival-sub: 5.0ms (1.9% of total)

ival-pow: 4.0ms (1.5% of total)

exact: 1.0ms (0.4% of total)

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

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

series55.0ms (0.6%)

Memory

-16.1MiB live, 59.5MiB allocated

Counts

31 → 372

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
8.0ms	N	@	-inf	(/ (+ N 1) N)
8.0ms	N	@	-inf	(+ (* (pow (log (+ 1 N)) 2) (/ (pow (log (+ 1 N)) 2) (* (log (+ (* N N) N)) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))) (neg (/ (pow (log N) 4) (* (log (+ (* N N) N)) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))))
7.0ms	N	@	inf	(+ (* (pow (log (+ 1 N)) 2) (/ (pow (log (+ 1 N)) 2) (* (log (+ (* N N) N)) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))) (neg (/ (pow (log N) 4) (* (log (+ (* N N) N)) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))))
2.0ms	N	@	-inf	(/ (pow (log (+ 1 N)) 2) (* (log (+ (* N N) N)) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))
2.0ms	N	@	inf	(/ (pow (log (+ 1 N)) 2) (* (log (+ (* N N) N)) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))

simplify543.0ms (5.5%)

Memory

-150.1MiB live, 376.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 328×	`lower-fma.f64`
8 328×	`lower-fma.f32`
6 304×	`lower-+.f64`
6 304×	`lower-+.f32`
5 570×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	934	10973
1	3082	10061
0	8333	9720

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 361

Calls

Call 1

Inputs
(/ -1/24 (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 2))
(/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 2))
(* -1 N)
(* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))
(* N (- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N)))))
(* N (- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3)))))))
(* -1 N)
(* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))
(* -1 (* N (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))))
(* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N)))))
(/ 1/24 (pow N 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 (* -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 (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 (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 (* -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))
(- (* -1 (/ N (pow (log N) 2))) (/ 1 (log N)))
(- (* N (- (* N (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(- (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* N (- (* 1/2 (/ 1 (pow (log N) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (* 1/3 (/ 1 (pow (log N) 2))))))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
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 N)
(/ (+ 1 N) N)
(/ (+ 1 N) N)
(/ (+ 1 N) N)
1
(+ 1 (/ 1 N))
(+ 1 (/ 1 N))
(+ 1 (/ 1 N))
1
(+ 1 (/ 1 N))
(+ 1 (/ 1 N))
(+ 1 (/ 1 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 (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))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* N (- (+ 1/3 (+ (* -1 (/ (+ (log N) (* -1/2 (pow (log N) 2))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) 1/2)))) (log N))
(/ 1 N)
(/ (- (+ 1 (+ (* -1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 3)))) (* 1/64 (/ (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) 2) (* N (pow (log (/ 1 N)) 5)))))) (* -1/4 (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (- 1 (* 1/16 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))))) (* N (pow (log (/ 1 N)) 3))))) N)
(/ (- (+ 1 (+ (* -1/4 (/ (+ (* -4 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* 2 (* (pow (log (/ 1 N)) 2) (- (* -2/3 (log (/ 1 N))) 1)))) (* (pow N 2) (pow (log (/ 1 N)) 3)))) (+ (* -1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 3)))) (+ (* 1/64 (/ (* (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1 (pow (log (/ 1 N)) 2)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (pow (log (/ 1 N)) 5)))) (+ (* 1/64 (/ (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) 2) (* N (pow (log (/ 1 N)) 5)))) (* 1/4 (/ (* (+ (* 1/64 (/ (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) 2) (pow (log (/ 1 N)) 5))) (* 1/16 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1 (pow (log (/ 1 N)) 2)))) (pow (log (/ 1 N)) 2)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (pow (log (/ 1 N)) 3))))))))) (+ (* -1/4 (/ (* (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1 (pow (log (/ 1 N)) 2)))) (- 1 (* 1/16 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))))) (* (pow N 2) (pow (log (/ 1 N)) 3)))) (+ (* -1/4 (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (- 1 (* 1/16 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))))) (* N (pow (log (/ 1 N)) 3)))) (* -1/4 (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (- (* -1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 3))) (+ (* -1/4 (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (- 1 (* 1/16 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))))) (pow (log (/ 1 N)) 3))) (* 1/16 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1 (pow (log (/ 1 N)) 2)))) (pow (log (/ 1 N)) 2)))))) (* (pow N 2) (pow (log (/ 1 N)) 3))))))) N)
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(/ (- (+ (* -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))
(pow (log N) 4)
(pow (log N) 4)
(pow (log N) 4)
(pow (log N) 4)
(pow (log (/ 1 N)) 4)
(pow (log (/ 1 N)) 4)
(pow (log (/ 1 N)) 4)
(pow (log (/ 1 N)) 4)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(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)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)

Outputs
(/ -1/24 (pow N 2))
(/.f64 #s(literal -1/24 binary64) (*.f64 N N))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 2))
(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (*.f64 N N))
(/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 2))
(/.f64 (fma.f64 N (fma.f64 N (+.f64 (neg.f64 N) #s(literal -1/2 binary64)) #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (*.f64 N N))
(* -1 N)
(neg.f64 N)
(* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))
(*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
(* N (- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N)))))
(.f64 N (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(* N (- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3)))))))
(.f64 N (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))))))
(* -1 N)
(neg.f64 N)
(* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))
(*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
(* -1 (* N (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))))
(neg.f64 (fma.f64 N (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) N) #s(literal 1/2 binary64)) N) N))
(* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N)))))
(neg.f64 (fma.f64 N (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) N) #s(literal -1/2 binary64)) (neg.f64 N)) N))
(/ 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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
(.f64 N (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.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)))
(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))
(/.f64 #s(literal -1/24 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/12 N) 1/24) (pow N 3))
(/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/.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)))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/.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)))
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ (- (* 1/12 (/ 1 N)) 1/2) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N)
(/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 N N))) N)
(/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 N N))) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (neg.f64 N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (neg.f64 N))
(* -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 #s(literal 1 binary64) (-.f64 (/.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 (neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) N)) #s(literal -1 binary64)) (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 #s(literal 1 binary64) (-.f64 (/.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 (neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) N)) #s(literal -1 binary64)) (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 (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
#s(literal -1/2 binary64)
(- N 1/2)
(+.f64 N #s(literal -1/2 binary64))
(- N 1/2)
(+.f64 N #s(literal -1/2 binary64))
(- N 1/2)
(+.f64 N #s(literal -1/2 binary64))
N
(* N (- 1 (* 1/2 (/ 1 N))))
(+.f64 N (*.f64 N (/.f64 #s(literal -1/2 binary64) N)))
(* N (- 1 (* 1/2 (/ 1 N))))
(+.f64 N (*.f64 N (/.f64 #s(literal -1/2 binary64) N)))
(* N (- 1 (* 1/2 (/ 1 N))))
(+.f64 N (*.f64 N (/.f64 #s(literal -1/2 binary64) N)))
N
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(*.f64 N (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)))
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(*.f64 N (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)))
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(*.f64 N (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 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 #s(literal 1 binary64) (-.f64 (/.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 (neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) N)) #s(literal -1 binary64)) (neg.f64 N))
(* -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 #s(literal 1 binary64) (-.f64 (/.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 (neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) N)) #s(literal -1 binary64)) (neg.f64 N))
(/ -1 (log N))
(/.f64 #s(literal -1 binary64) (log.f64 N))
(- (* -1 (/ N (pow (log N) 2))) (/ 1 (log N)))
(+.f64 (/.f64 (neg.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 N)))
(- (* N (- (* N (- (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
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(fma.f64 N (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (fma.f64 N (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (log.f64 N)))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (log.f64 N)))
N
(* 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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (.f64 N N))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
(.f64 N (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.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)))
(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 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ -1/24 (pow N 2))
(/.f64 #s(literal -1/24 binary64) (*.f64 N N))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) (*.f64 N N))
(/ 1/12 N)
(/.f64 #s(literal 1/12 binary64) N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
(/ 1/12 N)
(/.f64 #s(literal 1/12 binary64) N)
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) N)
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) N)
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) N)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
(/ (- (* 1/12 N) 1/24) N)
(/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) N)
(/ (- (* 1/12 N) 1/24) N)
(/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) N)
(/ (- (* 1/12 N) 1/24) N)
(/.f64 (fma.f64 N #s(literal 1/12 binary64) #s(literal -1/24 binary64)) N)
1/12
#s(literal 1/12 binary64)
(- 1/12 (* 1/24 (/ 1 N)))
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
(- 1/12 (* 1/24 (/ 1 N)))
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
(- 1/12 (* 1/24 (/ 1 N)))
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
1/12
#s(literal 1/12 binary64)
(- 1/12 (* 1/24 (/ 1 N)))
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
(- 1/12 (* 1/24 (/ 1 N)))
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
(- 1/12 (* 1/24 (/ 1 N)))
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 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) (* -1 N))
(-.f64 (log.f64 N) N)
(+ (log N) (* N (- (* 1/2 N) 1)))
(fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 N))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(fma.f64 N (fma.f64 N (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 N))
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))))) N)
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (neg.f64 N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) (neg.f64 N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (neg.f64 N))
(log N)
(log.f64 N)
(+ (log N) (* -1 N))
(-.f64 (log.f64 N) N)
(+ (log N) (* N (- (* 1/2 N) 1)))
(fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 N))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(fma.f64 N (fma.f64 N (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 N))
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))))) N)
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (neg.f64 N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) (neg.f64 N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (neg.f64 N))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(+ (* N (+ (log N) (* -1 (log N)))) (pow (log N) 2))
(fma.f64 N #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1))))) (pow (log N) 2))
(fma.f64 N (+.f64 (neg.f64 N) #s(literal 0 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(+ (* 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))
(fma.f64 N (fma.f64 N (+.f64 (+.f64 N #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(* 2 (/ (log (/ 1 N)) N))
(/.f64 (neg.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))) N)
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (* 2 (log (/ 1 N)))) (/ 1 N)) N)
(/.f64 (+.f64 (/.f64 (log.f64 N) N) (fma.f64 #s(literal 2 binary64) (neg.f64 (log.f64 N)) (/.f64 #s(literal -1 binary64) 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)
(/.f64 (+.f64 (fma.f64 #s(literal 2/3 binary64) (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (fma.f64 #s(literal 2 binary64) (neg.f64 (log.f64 N)) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (+.f64 (/.f64 (log.f64 N) N) (/.f64 #s(literal -1 binary64) 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)
(/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 2/3 binary64) (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (fma.f64 #s(literal 2 binary64) (neg.f64 (log.f64 N)) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 N)) (.f64 N (.f64 N N))) (/.f64 (log.f64 N) N))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 11/12 binary64) (.f64 N (.f64 N N))))) N)
(* 2 (/ (log (/ -1 N)) N))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) N)
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1) N))) N))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)) N)) (neg.f64 N))
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -2/3 (log (/ -1 N))) 1) N))) 1) N))) N))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2/3 binary64) #s(literal -1 binary64)) N)) #s(literal -1 binary64)) N)) (neg.f64 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))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -11/12 binary64)) (neg.f64 N)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2/3 binary64) #s(literal -1 binary64))) N)) #s(literal -1 binary64)) N)) (neg.f64 N))
(pow (log N) 4)
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(pow (log N) 4)
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(pow (log N) 4)
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(pow (log N) 4)
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(pow (log (/ 1 N)) 4)
(pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64))
(pow (log (/ 1 N)) 4)
(pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64))
(pow (log (/ 1 N)) 4)
(pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64))
(pow (log (/ 1 N)) 4)
(pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow (log (/ 1 N)) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow (log (/ 1 N)) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow (log (/ 1 N)) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow (log (/ 1 N)) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))

rewrite362.0ms (3.6%)

Memory

-8.1MiB live, 463.9MiB allocated

Rules

5 436×	`lower-*.f32`
5 424×	`lower-*.f64`
4 438×	`lower-fma.f32`
4 432×	`lower-fma.f64`
4 152×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	395
0	109	358
1	447	286
2	3036	282
0	9410	282

Stop Event

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

Counts

31 → 1 604

Calls

Call 1

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

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

eval373.0ms (3.8%)

Memory: 45.1MiB live, 694.1MiB allocated
Compiler: Compiled 102 975 to 6 794 computations (93.4% saved)

prune422.0ms (4.3%)

Memory

-17.3MiB live, 787.6MiB allocated

Pruning

60 alts after pruning (52 fresh and 8 done)

	Pruned	Kept	Total
New	2 309	20	2 329
Fresh	11	32	43
Picked	2	3	5
Done	1	5	6
Total	2 323	60	2 383

Accuracy

99.8%

Counts

2 383 → 60

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	24.6%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))
	24.9%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))
	20.9%	(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)))))
	22.9%	(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)))))
	25.3%	(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	25.2%	(/.f64 (fma.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)))) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (log.f64 (fma.f64 N N N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64))))) (.f64 (log.f64 (fma.f64 N N N)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
	24.7%	(/.f64 (fma.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 (log.f64 (fma.f64 N N N)) (/.f64 (neg.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)))))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
	24.8%	(/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64))) (log.f64 (fma.f64 N N N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	24.6%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal -4 binary64))) #s(literal -3 binary64))) (log.f64 (fma.f64 N N N)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal -4 binary64))) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))) (/.f64 (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)))))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal -4 binary64))) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))) (log.f64 (fma.f64 N N N))))
	24.2%	(/.f64 (fma.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal -4 binary64))) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))) (.f64 (.f64 (log.f64 (fma.f64 N N N)) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal -4 binary64))) #s(literal -3 binary64))))) (.f64 (.f64 (log.f64 (fma.f64 N N N)) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal -4 binary64))) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))))))
	23.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))
	22.8%	(/.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)))))
	21.8%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	22.0%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	21.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	21.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	22.1%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (/.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)))) (/.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))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	21.9%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (pow.f64 (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	21.9%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (-.f64 (log1p.f64 N) (log.f64 N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	20.3%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) (-.f64 (log.f64 N) (log1p.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	20.1%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) (+.f64 (log.f64 (/.f64 N (fma.f64 N (.f64 N N) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (.f64 N N) N)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
✓	22.9%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	22.8%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
	20.4%	(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 4 binary64) (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	23.9%	(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 4 binary64) (log.f64 (log1p.f64 N)))) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	22.9%	(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
	23.1%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
✓	25.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
✓	26.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
	94.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (log (/ (+ N 1) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))
	97.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (log (/ (+ N 1) N))) (.f64 N (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.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))))))
	97.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (fma.f64 N #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)))) (neg.f64 N)))))
	96.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N)) (neg.f64 N)))))
	97.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (/.f64 (fma.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (+.f64 #s(literal 0 binary64) N) (.f64 N (.f64 N (neg.f64 N)))) (.f64 N (+.f64 #s(literal 0 binary64) N))))))
	97.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (/.f64 (fma.f64 (.f64 N (neg.f64 N)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 (+.f64 #s(literal 0 binary64) N) N)) (*.f64 (+.f64 #s(literal 0 binary64) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))))
	97.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))))
	94.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))))))
	97.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))
	26.1%	(.f64 (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N N))))
	26.1%	(.f64 (+.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (.f64 N (fma.f64 N N #s(literal -1 binary64))))) (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (neg.f64 (log.f64 (+.f64 N #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
	26.1%	(.f64 (.f64 (-.f64 (/.f64 (pow.f64 (log.f64 (.f64 N (fma.f64 N N #s(literal -1 binary64)))) #s(literal 2 binary64)) (log.f64 (.f64 (.f64 N (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 (*.f64 N (fma.f64 N N #s(literal -1 binary64))) (+.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)))))
	26.1%	(.f64 (.f64 (-.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N N))))
	20.8%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 N) (log1p.f64 N))) (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (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)))))
	24.1%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (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))))
	26.1%	(.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)) (log1p.f64 (-.f64 (*.f64 N N) N))))))
	26.1%	(.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 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))))
	26.1%	(.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 N) (.f64 N (.f64 N (.f64 N N)))))))))))
	24.5%	(.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 #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.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)))))))
✓	26.1%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	25.3%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	25.4%	(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))
	24.1%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
	93.3%	(exp.f64 (.f64 (log.f64 #s(approx (/ -1 (log (/ N (+ N 1)))) (+.f64 N (/.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)))) #s(literal -1 binary64)))
	96.3%	#s(approx (/ 1 (/ 1 (log (/ (+ N 1) 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))
	96.3%	#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))
✓	93.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	97.5%	#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))
✓	85.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
✓	93.3%	#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))))
	93.2%	#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 5 804 to 1 555 computations (73.2% saved)

regimes60.0ms (0.6%)

Memory

9.0MiB live, 79.5MiB allocated

Counts

90 → 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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (log (/ (+ N 1) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) 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(literal -1/3 binary64) N)) N)) N))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))
#s(approx (/ 1 (/ -1 (log (/ N (+ N 1))))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (/ 1 (/ 1 (log (/ (+ N 1) 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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N)) (neg.f64 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 (+.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 (log (/ 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)))))
#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) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (fma.f64 N #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)))) (neg.f64 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) (/.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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ 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)))))
#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)))))
(neg.f64 #s(approx (log (/ N (+ N 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N))) N)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (.f64 N (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (log (/ (+ N 1) N))) (.f64 N (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.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))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (/.f64 (fma.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (+.f64 #s(literal 0 binary64) N) (.f64 N (.f64 N (neg.f64 N)))) (.f64 N (+.f64 #s(literal 0 binary64) N))))))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (/.f64 (fma.f64 (.f64 N (neg.f64 N)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 (+.f64 #s(literal 0 binary64) N) N)) (*.f64 (+.f64 #s(literal 0 binary64) 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) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log 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)))) (/.f64 #s(literal 1 binary64) (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))
(exp.f64 (.f64 (log.f64 #s(approx (/ -1 (log (/ N (+ N 1)))) (+.f64 N (/.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
(/.f64 (*.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 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(.f64 (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (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 (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 #s(approx (log (+ (* N N) N)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (+.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)))))))
(.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 N) (.f64 N (.f64 N (.f64 N N)))))))))))
(.f64 (.f64 (-.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 N N N))))
(.f64 (.f64 (-.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (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 (.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)) (log1p.f64 (-.f64 (*.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 (-.f64 (log.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))))
(.f64 (+.f64 (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (.f64 N (fma.f64 N N #s(literal -1 binary64))))) (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (neg.f64 (log.f64 (+.f64 N #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (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))))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (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)))))
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
(.f64 #s(approx ( (log (+ (* N N) N)) (log (/ N (+ N 1)))) (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 N) N) (+.f64 (+.f64 (/.f64 (.f64 (log.f64 N) #s(literal 1/2 binary64)) (.f64 N (.f64 N N))) (fma.f64 (log.f64 N) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (/.f64 (.f64 #s(literal -2/3 binary64) (log.f64 N)) (.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 11/12 binary64) (.f64 N (.f64 N N))))) N)) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
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(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal -4 binary64))) #s(literal -3 binary64))) (log.f64 (fma.f64 N N N)) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal -4 binary64))) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))) (/.f64 (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)))))) (.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal -4 binary64))) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))) (log.f64 (fma.f64 N N N))))
(/.f64 (fma.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal -4 binary64))) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))) (.f64 (.f64 (log.f64 (fma.f64 N N N)) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal -4 binary64))) #s(literal -3 binary64))))) (.f64 (.f64 (log.f64 (fma.f64 N N N)) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal -4 binary64))) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (.f64 (/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 N N N)) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))

Outputs

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

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

Calls

2 calls:

31.0ms	N
24.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes27.0ms (0.3%)

Memory

-3.7MiB live, 33.3MiB allocated

Counts

39 → 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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (log (/ (+ N 1) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) 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(literal -1/3 binary64) N)) N)) N))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))
#s(approx (/ 1 (/ -1 (log (/ N (+ N 1))))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (/ 1 (/ 1 (log (/ (+ N 1) 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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N)) (neg.f64 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 (+.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 (log (/ 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)))))
#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) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (fma.f64 N #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)))) (neg.f64 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) (/.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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ 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)))))
#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)))))
(neg.f64 #s(approx (log (/ N (+ N 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N))) N)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (.f64 N (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (log (/ (+ N 1) N))) (.f64 N (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.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))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (/.f64 (fma.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (+.f64 #s(literal 0 binary64) N) (.f64 N (.f64 N (neg.f64 N)))) (.f64 N (+.f64 #s(literal 0 binary64) N))))))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (/.f64 (fma.f64 (.f64 N (neg.f64 N)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 (+.f64 #s(literal 0 binary64) N) N)) (*.f64 (+.f64 #s(literal 0 binary64) 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) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log 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)))) (/.f64 #s(literal 1 binary64) (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))
(exp.f64 (.f64 (log.f64 #s(approx (/ -1 (log (/ N (+ N 1)))) (+.f64 N (/.f64 (.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) N)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))

Outputs

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

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

Calls

2 calls:

17.0ms	N
9.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes17.0ms (0.2%)

Memory

30.3MiB live, 30.3MiB allocated

Counts

32 → 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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (log (/ (+ N 1) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) 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(literal -1/3 binary64) N)) N)) N))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))
#s(approx (/ 1 (/ -1 (log (/ N (+ N 1))))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (/ 1 (/ 1 (log (/ (+ N 1) 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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N)) (neg.f64 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 (+.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 (log (/ 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)))))
#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) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (fma.f64 N #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)))) (neg.f64 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) (/.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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ 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)))))
#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)))))
(neg.f64 #s(approx (log (/ N (+ N 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N))) N)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (.f64 N (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (log (/ (+ N 1) N))) (.f64 N (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.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))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (/.f64 (fma.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (+.f64 #s(literal 0 binary64) N) (.f64 N (.f64 N (neg.f64 N)))) (.f64 N (+.f64 #s(literal 0 binary64) N))))))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (/.f64 (fma.f64 (.f64 N (neg.f64 N)) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (.f64 (+.f64 #s(literal 0 binary64) N) N)) (*.f64 (+.f64 #s(literal 0 binary64) N) (/.f64 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))))

Outputs

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

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

Calls

2 calls:

9.0ms	N
7.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes56.0ms (0.6%)

Memory

-19.1MiB live, 30.1MiB allocated

Counts

30 → 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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (log (/ (+ N 1) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) 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(literal -1/3 binary64) N)) N)) N))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))
#s(approx (/ 1 (/ -1 (log (/ N (+ N 1))))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (/ 1 (/ 1 (log (/ (+ N 1) 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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N)) (neg.f64 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 (+.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 (log (/ 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)))))
#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) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (fma.f64 N #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)))) (neg.f64 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) (/.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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ 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)))))
#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)))))
(neg.f64 #s(approx (log (/ N (+ N 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N))) N)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (.f64 N (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/12 binary64) (.f64 N N)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (log (/ (+ N 1) N))) (.f64 N (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.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))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (/.f64 (fma.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (+.f64 #s(literal 0 binary64) N) (.f64 N (.f64 N (neg.f64 N)))) (.f64 N (+.f64 #s(literal 0 binary64) N))))))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.9%	1	`N`
97.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes38.0ms (0.4%)

Memory

-18.9MiB live, 19.4MiB allocated

Counts

17 → 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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (log (/ (+ N 1) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) 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(literal -1/3 binary64) N)) N)) N))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))
#s(approx (/ 1 (/ -1 (log (/ N (+ N 1))))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (/ 1 (/ 1 (log (/ (+ N 1) 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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (fma.f64 N #s(approx (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N)) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N)) (neg.f64 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 (+.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 (log (/ 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)))))
#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

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

Calls

2 calls:

33.0ms	N
4.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
97.7%	1	`N`
97.7%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB 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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (log (/ (+ N 1) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) 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(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:

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

Results

Accuracy	Segments	Branch
96.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
96.3%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB 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))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (log (/ (+ N 1) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 #s(approx (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))))))

Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (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
94.2%	1	`N`
94.2%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Memory

-25.4MiB live, 12.5MiB 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:

5.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
2.0ms	N

Results

Accuracy	Segments	Branch
93.6%	1	`N`
93.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Memory

10.9MiB live, 10.9MiB 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
2.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

8.1MiB live, 8.1MiB 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
85.4%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
85.4%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0006953220857202069	0.001124008531720122

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch8.0ms (0.1%)

Memory

-18.9MiB live, 19.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	889.173055909204	1437.682478058561

Samples

5.0ms

64×

valid

Compiler

Compiled 155 to 104 computations (32.9% saved)

Precisions

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

ival-log: 1.0ms (56.6% of total)

ival-log1p: 1.0ms (56.6% of total)

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

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

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

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	889.173055909204	1437.682478058561

Compiler

Compiled 143 to 96 computations (32.9% saved)

simplify13.0ms (0.1%)

Memory

-14.9MiB live, 29.4MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative_binary64`
18×	`sub-neg_binary64`
16×	`*-commutative_binary64`
14×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	85	343
1	105	342
2	121	342
3	131	342
4	136	342
5	138	342

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)) (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (fma.f64 N #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)))) (neg.f64 N))))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64))))
(if (<=.f64 N #s(literal 1100 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (fma.f64 N #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)))) (neg.f64 N))))))
(if (<=.f64 N #s(literal 1100 binary64)) (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (fma.f64 N #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)))) (neg.f64 N))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (fma.f64 N #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)))) (neg.f64 N)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (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)) (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (fma.f64 N #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)))) (neg.f64 N))))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (fma.f64 N #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)))) (neg.f64 N))))) (exp.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))))))
(if (<=.f64 N #s(literal 1100 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (fma.f64 N #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)))) (neg.f64 N))))))
(if (<=.f64 N #s(literal 1100 binary64)) (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (fma.f64 N #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)))) (neg.f64 N))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (neg.f64 (fma.f64 N #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)))) (neg.f64 N)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) #s(approx (neg (+ (* N (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (neg N))) (neg N))) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (/ N (+ N 1)))) (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))

soundness1.0s (10.4%)

Memory

2.7MiB live, 742.5MiB allocated

Rules

11 472×	`lower-fma.f64`
11 472×	`lower-fma.f32`
9 132×	`lower-fma.f64`
9 132×	`lower-fma.f32`
8 328×	`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	934	10973
1	3082	10061
0	8333	9720
0	965	8833
1	3165	7817
0	8629	7478
0	6	16
0	10	15
1	42	15
2	269	15
3	2627	15
0	8846	12
0	41	203
0	71	172
1	298	170
2	2097	170
0	8491	170

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×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 370 to 170 computations (54.1% saved)

preprocess103.0ms (1%)

Memory: 18.9MiB live, 210.2MiB allocated
Compiler: Compiled 484 to 180 computations (62.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (13.7%)

explain130.0ms (1.3%)

preprocess21.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize77.0ms (0.8%)

series53.0ms (0.5%)

simplify234.0ms (2.4%)

rewrite249.0ms (2.5%)

eval100.0ms (1%)

prune84.0ms (0.8%)

simplify167.0ms (1.7%)

localize245.0ms (2.5%)

series34.0ms (0.3%)

simplify304.0ms (3.1%)

rewrite319.0ms (3.2%)

eval260.0ms (2.6%)

prune214.0ms (2.2%)

simplify219.0ms (2.2%)

localize414.0ms (4.2%)

series44.0ms (0.4%)

simplify416.0ms (4.2%)

rewrite433.0ms (4.4%)

eval328.0ms (3.3%)

prune509.0ms (5.1%)

simplify183.0ms (1.8%)

localize377.0ms (3.8%)

series55.0ms (0.6%)

simplify543.0ms (5.5%)

rewrite362.0ms (3.6%)

eval373.0ms (3.8%)

prune422.0ms (4.3%)

regimes60.0ms (0.6%)

regimes27.0ms (0.3%)

regimes17.0ms (0.2%)

regimes56.0ms (0.6%)

regimes38.0ms (0.4%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch8.0ms (0.1%)

bsearch1.0ms (0%)

simplify13.0ms (0.1%)

soundness1.0s (10.4%)

preprocess103.0ms (1%)

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