Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.3s (16.4%)

Memory

-37.8MiB live, 1 504.9MiB allocated

Samples

908.0ms	6 409×	1	valid
104.0ms	1 847×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 760.0ms

ival-log1p: 274.0ms (36.1% of total)

ival-log: 228.0ms (30% of total)

adjust: 124.0ms (16.3% of total)

ival-sub: 70.0ms (9.2% of total)

ival->: 25.0ms (3.3% of total)

ival-<: 16.0ms (2.1% of total)

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

exact: 10.0ms (1.3% of total)

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

Bogosity

explain114.0ms (1.4%)

Memory

19.8MiB live, 218.0MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`	cancellation	245	5

Confusion

	Predicted +	Predicted -
+	245	0
-	0	11

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	245	0	0
-	0	5	6

Precision?

0.98

Recall?

1.0

Freqs

test

number	freq
0	11
1	245

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms	398×	1	valid
6.0ms	114×	0	valid

Compiler

Compiled 48 to 22 computations (54.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-log1p: 16.0ms (32.8% of total)

ival-log: 15.0ms (30.8% of total)

adjust: 10.0ms (20.5% of total)

ival-sub: 4.0ms (8.2% of total)

ival-add: 3.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess17.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify105.0ms (1.3%)

Memory

-28.4MiB live, 9.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (0.4%)

Memory

20.8MiB live, 57.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0	(log.f64 N)
accuracy	0.00390625	(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	47.59684340805773	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

26.0ms	199×	1	valid
3.0ms	57×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-log1p: 7.0ms (32.7% of total)

ival-log: 6.0ms (28.1% of total)

adjust: 4.0ms (18.7% of total)

ival-sub: 2.0ms (9.4% of total)

ival-add: 1.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

series58.0ms (0.7%)

Memory

-22.3MiB live, 93.9MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
28.0ms	N	@	0	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
18.0ms	N	@	-inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
9.0ms	N	@	inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))

simplify168.0ms (2%)

Memory

17.2MiB live, 144.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	330
1	250	302
2	588	301
3	1591	295
4	4186	287
5	6252	287
6	7306	287
0	8036	278

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 45

Calls

Call 1

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

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

rewrite225.0ms (2.7%)

Memory

4.5MiB live, 192.4MiB 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
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 N)))
(pow.f64 (log1p.f64 N) #s(literal 1 binary64))
(log1p.f64 N)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 (.f64 N N) N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 (.f64 N N) N)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (.f64 (.f64 N N) N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (.f64 (log1p.f64 (.f64 (.f64 N N) N)) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 (.f64 N N) N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 (.f64 N N) N)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (.f64 (.f64 N N) N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (.f64 (log1p.f64 (.f64 (.f64 N N) N)) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
(neg.f64 (neg.f64 (log1p.f64 N)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 N)) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 N)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 N #s(literal 1 binary64))) (log.f64 (fma.f64 N N #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) (log1p.f64 (.f64 (*.f64 N N) N)))
(-.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 (.f64 N N) N)) #s(literal 2 binary64)) (log.f64 (.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (log.f64 (.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))))) (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 (.f64 N N) N)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (.f64 N N) N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (.f64 (log1p.f64 (.f64 (.f64 N N) N)) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)))))) (/.f64 (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (.f64 N N) N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (.f64 (log1p.f64 (.f64 (.f64 N N) N)) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))))))
(-.f64 (log.f64 (.f64 (fma.f64 (.f64 N N) (.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)))) (log1p.f64 (.f64 N N)))
(-.f64 (log.f64 (.f64 (fma.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)))) (log.f64 (fma.f64 (.f64 N N) (*.f64 N N) (fma.f64 N N #s(literal 1 binary64)))))
(-.f64 (log.f64 (.f64 (fma.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))) (log.f64 (fma.f64 (.f64 N N) N #s(literal -1 binary64))))
(-.f64 (log.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N)) (.f64 (.f64 N N) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))) (log.f64 (fma.f64 (.f64 (.f64 N N) (.f64 (.f64 N N) N)) N (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N))))) (log.f64 (fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) N))))) (log.f64 (fma.f64 (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (.f64 (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)))))))
(-.f64 (log.f64 (.f64 (fma.f64 (.f64 N N) (.f64 N N) #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(-.f64 (log.f64 (.f64 (fma.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N N) #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 (.f64 (fma.f64 (.f64 N N) (.f64 N N) (fma.f64 N N #s(literal 1 binary64))) (-.f64 N #s(literal 1 binary64)))))
(-.f64 (log.f64 (.f64 (fma.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N N) #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 (.f64 (fma.f64 (*.f64 N N) N #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(-.f64 (log.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N)) (.f64 (.f64 N N) N) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (.f64 (fma.f64 (.f64 (.f64 N N) (.f64 (.f64 N N) N)) N (-.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 N N) (-.f64 N #s(literal 1 binary64))) (.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) (log.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))))) (log.f64 (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) #s(literal 1 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)))))
(-.f64 (log.f64 (fma.f64 (.f64 N N) (.f64 N N) #s(literal -1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))))
(-.f64 (log.f64 (fma.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N N) #s(literal -1 binary64))) (log.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 (.f64 N N) (*.f64 N N) (fma.f64 N N #s(literal 1 binary64))))))
(-.f64 (log.f64 (fma.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N N) #s(literal -1 binary64))) (log.f64 (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (fma.f64 (.f64 N N) N #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (.f64 (.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N)) (.f64 (.f64 N N) N))) (log.f64 (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (fma.f64 (.f64 (.f64 N N) (.f64 (.f64 N N) N)) N (-.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N))))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 N) N)) (log1p.f64 (neg.f64 N)))
(-.f64 (log.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64)))) (log1p.f64 (neg.f64 N)))
(-.f64 (log.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))
(-.f64 (log1p.f64 (.f64 (.f64 N N) N)) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 N)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)))) (log1p.f64 (fma.f64 N N N)))
(+.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 (*.f64 N N) N #s(literal -1 binary64)))) (log1p.f64 (fma.f64 N N N)))
(+.f64 (log.f64 (/.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N)))) (log.f64 (+.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
(+.f64 (log.f64 (/.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 N N) (.f64 (.f64 N N) N)) N (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) N))))) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (.f64 N N)) (.f64 (.f64 N N) (*.f64 N N)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 N N)))) (log1p.f64 N))
(+.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))) (log1p.f64 N))
(+.f64 (neg.f64 (log.f64 (-.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N #s(literal -1 binary64))))
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(neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) N)))
(fma.f64 (/.f64 (.f64 N N) (fma.f64 (.f64 N N) N #s(literal -1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N))))
(fma.f64 (/.f64 (*.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) N) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N))))
(fma.f64 (*.f64 N N) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N))))
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N))))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))))) (fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N))) (fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) N)))) (fma.f64 (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (.f64 (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)))))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) N))) (fma.f64 (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (.f64 (.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)))))))
(-.f64 (/.f64 (.f64 (.f64 N N) (-.f64 N #s(literal 1 binary64))) (.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))) (/.f64 (.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N)) (.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 (.f64 N N) (.f64 N N) (fma.f64 N N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 (.f64 N N) (*.f64 N N) (fma.f64 N N #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N)) (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (fma.f64 (.f64 N N) N #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (fma.f64 (*.f64 N N) N #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) N)) (neg.f64 (+.f64 #s(literal 1 binary64) N)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (neg.f64 (+.f64 #s(literal 1 binary64) N)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 N N) (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64))) (-.f64 N #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64))) (-.f64 N #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N)) (fma.f64 (.f64 N N) (.f64 N N) (fma.f64 N N #s(literal 1 binary64)))) (-.f64 N #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 N N) (*.f64 N N) (fma.f64 N N #s(literal 1 binary64)))) (-.f64 N #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N)) (fma.f64 (.f64 N N) N #s(literal -1 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N N) N #s(literal -1 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)))
(+.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N))))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 N)) #s(literal -1 binary64)))
(pow.f64 (log.f64 N) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 N))
(+.f64 (log.f64 N) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 N)))
(log.f64 N)

eval77.0ms (0.9%)

Memory: -2.4MiB live, 82.7MiB allocated
Compiler: Compiled 13 693 to 1 540 computations (88.8% saved)

prune123.0ms (1.5%)

Memory

-4.1MiB live, 156.3MiB allocated

Pruning

23 alts after pruning (23 fresh and 0 done)

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

Accuracy

99.4%

Counts

471 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.8%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	27.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.3%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.2%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.6%	(/.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))))))))
▶	25.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.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))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))
	25.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 N)) (log1p.f64 N)))))
	25.4%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	25.5%	(/.f64 (-.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 (fma.f64 N N N))))
	28.6%	(/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (log.f64 (fma.f64 N N N))))
	28.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
	25.7%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	28.6%	(.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
	28.6%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
▶	29.0%	(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N)))
	28.1%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	28.1%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))
	94.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
▶	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
	91.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	83.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 1 130 to 540 computations (52.2% saved)

simplify129.0ms (1.6%)

Memory

33.7MiB live, 142.1MiB 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 6 binary64))
cost-diff	0	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.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))) (pow.f64 (.f64 (log.f64 N) (log1p.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 #s(literal 1 binary64) N))))
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 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
cost-diff	0	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N))
cost-diff	0	(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N)
cost-diff	0	(/.f64 #s(literal 1 binary64) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
cost-diff	0	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
cost-diff	0	(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))

Rules

7 244×	`lower-fma.f32`
7 242×	`lower-fma.f64`
2 924×	`lower-*.f32`
2 914×	`lower-*.f64`
1 570×	`lower--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	349
0	84	337
1	144	324
2	274	324
3	627	324
4	1311	324
5	2545	324
6	5839	324
7	7595	324
0	8048	324

Stop Event

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

Calls

Call 1

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

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

localize366.0ms (4.5%)

Memory

-13.3MiB live, 350.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.9818844240225002	(pow.f64 (log.f64 N) #s(literal 4 binary64))
accuracy	1.194802366711652	(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
accuracy	1.269888548839689	(pow.f64 (log.f64 N) #s(literal 6 binary64))
accuracy	46.740357208499574	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
accuracy	0.23828125	(/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N))))
accuracy	0.26953125	(.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
accuracy	0.34994125976844204	(*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
accuracy	45.6569685860439	(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
accuracy	0	(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N)))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
accuracy	0.265625	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N)
accuracy	45.6569685860439	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N))
accuracy	0	(/.f64 #s(literal 1 binary64) N)
accuracy	10.689085085775586	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy	0.09375	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
accuracy	0.11328125	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.328125	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.559882433820448	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))

Samples

163.0ms	185×	1	valid
115.0ms	71×	0	valid

Compiler

Compiled 370 to 47 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-log: 27.0ms (17.3% of total)

ival-add: 23.0ms (14.8% of total)

ival-div: 22.0ms (14.1% of total)

adjust: 19.0ms (12.2% of total)

ival-pow: 16.0ms (10.3% of total)

ival-mult: 15.0ms (9.6% of total)

ival-sub: 10.0ms (6.4% of total)

const: 8.0ms (5.1% of total)

ival-log1p: 8.0ms (5.1% of total)

ival-pow2: 4.0ms (2.6% of total)

ival-neg: 3.0ms (1.9% of total)

exact: 1.0ms (0.6% of total)

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

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

series72.0ms (0.9%)

Memory

13.5MiB live, 123.3MiB allocated

Counts

23 → 276

Calls

Call 1

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

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

3 calls:

Time

Variable

Point

Expression

23.0ms

-inf

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

21.0ms

inf

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

14.0ms

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

simplify212.0ms (2.6%)

Memory

-5.9MiB live, 241.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 554×	`lower-fma.f64`
8 554×	`lower-fma.f32`
6 602×	`lower-+.f64`
6 602×	`lower-+.f32`
5 822×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	812	9347
1	2781	8507
0	8197	8165

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 274

Calls

Call 1

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

Outputs
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(/ 1 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)
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N
(* N (+ 1 (* -1 N)))
(*.f64 (-.f64 #s(literal 1 binary64) N) N)
(* N (+ 1 (* N (- N 1))))
(*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) N)
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 binary64)) N #s(literal 1 binary64)) N)
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
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(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(log N)
(log.f64 N)
(+ (log N) (* -1 N))
(-.f64 (log.f64 N) N)
(+ (log N) (* N (- (* 1/2 N) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1 binary64)) N (log.f64 N))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/2 binary64)) N #s(literal -1 binary64)) N (log.f64 N))
1
#s(literal 1 binary64)
(+ 1 (* -1 N))
(-.f64 #s(literal 1 binary64) N)
(+ 1 (* N (- N 1)))
(fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal -1 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))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(/ -1 (log N))
(/.f64 #s(literal -1 binary64) (log.f64 N))
(- (/ N (pow (log N) 2)) (/ 1 (log N)))
(-.f64 (/.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 N)))
(- (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 N) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N (/.f64 #s(literal -1 binary64) (log.f64 N)))
(- (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (pow (log N) 3)))) (* -1 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 N))) N (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) N (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N (/.f64 #s(literal -1 binary64) (log.f64 N)))
(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 #s(literal 0 binary64) N (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 (+.f64 #s(literal 0 binary64) (neg.f64 N)) N (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 (fma.f64 (-.f64 (+.f64 #s(literal 0 binary64) N) #s(literal 1 binary64)) N #s(literal 0 binary64)) N (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(log N)
(log.f64 N)
(+ N (log N))
(+.f64 (log.f64 N) N)
(+ (log N) (* N (+ 1 (* -1/2 N))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (log.f64 N))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (log.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 (* N (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 4))) (/ 1 (log N))))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (neg.f64 N) #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 4))) (/ 1 (log N))) (log N))) (+ (* -1 (/ (+ (* -1 (pow (log N) 3)) (+ (* 1/3 (pow (log N) 4)) (pow (log N) 2))) (pow (log N) 4))) (/ 1 (pow (log N) 2)))))) (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 4))) (/ 1 (log N))))))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 N)) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal 1/3 binary64))) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (log.f64 N)))) N (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 4 binary64)))))) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(* -1 (pow (log N) 6))
(neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(- (pow N 6) (pow (log N) 6))
(-.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(- (* (pow N 6) (+ 1 (* -3 N))) (pow (log N) 6))
(-.f64 (*.f64 (fma.f64 #s(literal -3 binary64) N #s(literal 1 binary64)) (pow.f64 N #s(literal 6 binary64))) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(- (* (pow N 6) (+ 1 (* N (- (* 23/4 N) 3)))) (pow (log N) 6))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 23/4 binary64) N #s(literal -3 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 6 binary64))) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(pow N 6)
(pow.f64 N #s(literal 6 binary64))
(* (pow N 6) (+ 1 (* -3 N)))
(*.f64 (fma.f64 #s(literal -3 binary64) N #s(literal 1 binary64)) (pow.f64 N #s(literal 6 binary64)))
(* (pow N 6) (+ 1 (* N (- (* 23/4 N) 3))))
(*.f64 (fma.f64 (fma.f64 #s(literal 23/4 binary64) N #s(literal -3 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 6 binary64)))
(* (pow N 6) (+ 1 (* N (- (* N (+ 23/4 (* -9 N))) 3))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) N #s(literal 23/4 binary64)) N #s(literal -3 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 6 binary64)))
N
(* N (+ 1 (* -1/2 N)))
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(+ (log -1) (* -1 (log (/ -1 N))))
(-.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 (/.f64 #s(literal 1 binary64) N) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
(-.f64 (-.f64 (log.f64 #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))
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (neg.f64 N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (neg.f64 N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (neg.f64 N))
-1/3
#s(literal -1/3 binary64)
(- (* 1/4 (/ 1 N)) 1/3)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/ -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 -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))

rewrite180.0ms (2.2%)

Memory

14.3MiB live, 208.1MiB allocated

Rules

4 010×	`lower-/.f32`
3 992×	`lower-/.f64`
3 936×	`lower-*.f32`
3 926×	`lower-*.f64`
2 526×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	225
0	84	181
1	356	177
2	2552	176
0	8338	176

Stop Event

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

Counts

23 → 870

Calls

Call 1

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

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
(.f64 (pow.f64 (/.f64 N (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (.f64 N N)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N))))
(.f64 (pow.f64 (/.f64 N (-.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))) (.f64 (.f64 N N) N)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (.f64 N N)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 1 binary64)))))
(.f64 (.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N))
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
(pow.f64 (/.f64 (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N))))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))) (.f64 (.f64 N N) N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N))) (neg.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (.f64 N N)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 N)))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 N))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (.f64 N N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (.f64 N N))) (.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N)))) (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 N N) N)))) (neg.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)) (.f64 N N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (.f64 N N)) (fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N) (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) (neg.f64 (neg.f64 (neg.f64 N))))
(/.f64 (neg.f64 (.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (.f64 N N)) #s(literal -1 binary64)) #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))))
(/.f64 (neg.f64 (.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (.f64 N N)) #s(literal -1 binary64)) #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)) N)))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))) (.f64 (.f64 N N) N)) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 N N)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 1 binary64))) (neg.f64 N))))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))) (.f64 (.f64 N N) N)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 N N)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 1 binary64))) N)))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (.f64 N #s(literal -1 binary64)))) (neg.f64 (*.f64 N N)))
(/.f64 (-.f64 (.f64 (neg.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) N) (.f64 (neg.f64 N) #s(literal -1 binary64))) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 (.f64 (neg.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) (/.f64 N #s(literal -1 binary64))) (.f64 (neg.f64 N) #s(literal 1 binary64))) (*.f64 (neg.f64 N) (/.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) (neg.f64 N)) (.f64 (neg.f64 N) #s(literal 1 binary64))) (*.f64 N N))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) (.f64 (.f64 N (neg.f64 N)) #s(literal -1 binary64))) (.f64 (*.f64 N (neg.f64 N)) N))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 N #s(literal -1 binary64))) (.f64 (.f64 N (neg.f64 N)) #s(literal 1 binary64))) (.f64 (*.f64 N (neg.f64 N)) (/.f64 N #s(literal -1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) #s(literal 1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) #s(literal 1/9 binary64)) (/.f64 #s(literal 1/12 binary64) N)) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (*.f64 N N) N)) #s(literal 1/27 binary64))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) N) #s(literal -1/3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1/4 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) N) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 N N)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))))
(-.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 N N) N)) (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) #s(literal 1/9 binary64)) (/.f64 #s(literal 1/12 binary64) N))) (/.f64 #s(literal 1/27 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 N N)) #s(literal 1/9 binary64)) (/.f64 #s(literal 1/12 binary64) N))))
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 (fma.f64 N N N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (neg.f64 (log1p.f64 N)) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 N)) (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (fma.f64 N N N)))
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (+.f64 (pow.f64 (neg.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 (neg.f64 (log1p.f64 N)) (log.f64 N)))))
(/.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) (log.f64 (fma.f64 N N N)))
(/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (neg.f64 (log.f64 (fma.f64 N N N))))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(fma.f64 (log1p.f64 N) #s(literal -1 binary64) (log.f64 N))
(fma.f64 #s(literal -1 binary64) (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (*.f64 N #s(literal -1 binary64))) (log.f64 (+.f64 (neg.f64 N) #s(literal -1 binary64))))
(-.f64 (log.f64 (neg.f64 (neg.f64 N))) (log.f64 (neg.f64 (+.f64 (neg.f64 N) #s(literal -1 binary64)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
(-.f64 (log.f64 (neg.f64 N)) (log.f64 (+.f64 (neg.f64 N) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(-.f64 (log.f64 N) (log1p.f64 N))
(+.f64 (log.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (log1p.f64 (neg.f64 N)))
(+.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 N (fma.f64 (.f64 N N) N #s(literal 1 binary64)))) (log1p.f64 (.f64 N (-.f64 N #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 N (fma.f64 (*.f64 N N) N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(+.f64 (log.f64 (neg.f64 N)) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) N))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(+.f64 (neg.f64 (log1p.f64 N)) (log.f64 N))
(+.f64 (log.f64 N) (neg.f64 (log1p.f64 N)))
(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 6 binary64)) (log.f64 (log.f64 N)))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(exp.f64 (fma.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64) (*.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64) (*.f64 (log.f64 (log.f64 N)) #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 (log.f64 N)) #s(literal 4 binary64) (*.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 N)) #s(literal 4 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 6 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (log.f64 N)))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64) (*.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 4 binary64)))

eval258.0ms (3.1%)

Memory: 7.9MiB live, 317.3MiB allocated
Compiler: Compiled 48 556 to 4 287 computations (91.2% saved)

prune390.0ms (4.8%)

Memory

-21.8MiB live, 314.2MiB allocated

Pruning

41 alts after pruning (38 fresh and 3 done)

	Pruned	Kept	Total
New	1 288	26	1 314
Fresh	6	12	18
Picked	2	3	5
Done	0	0	0
Total	1 296	41	1 337

Accuracy

99.7%

Counts

1 337 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.8%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	27.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.3%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.5%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (log.f64 (fma.f64 N N N))))))
✓	25.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.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))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))
	25.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.6%	(/.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))))))
	25.4%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	28.6%	(/.f64 (*.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (log.f64 (fma.f64 N N N))))
	25.9%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
	95.4%	(/.f64 #s(approx (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (+.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (.f64 N N))) (fma.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) N) (/.f64 (.f64 (-.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (fma.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal -1/2 binary64) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (.f64 (.f64 N N) N))) (fma.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (+.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 (.f64 N N) N)) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 N N))) (+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 N N) N)) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64))) N))))) N)) (.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))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))
	28.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
	25.7%	(-.f64 (log1p.f64 N) (log.f64 N))
	25.5%	(.f64 (+.f64 (.f64 (neg.f64 (log1p.f64 N)) (log.f64 (fma.f64 N N N))) (*.f64 (log.f64 N) (log.f64 (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
	25.5%	(.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (log (+ (* N N) N)) (-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))))
	25.3%	(.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(approx (/ 1 (neg (log (+ (* N N) N)))) (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 (.f64 N N) N))) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N)) (/.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 N)))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (.f64 N N))))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (neg.f64 (log.f64 N)) (.f64 (.f64 N N) N))) #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (.f64 (.f64 N N) N))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 N N))))))))
	28.6%	(*.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))))
▶	95.7%	(.f64 #s(approx ( (log (+ (* N N) N)) (log (/ N (+ 1 N)))) (/.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 (.f64 N N) N)) #s(literal -1/2 binary64) (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) #s(literal 2/3 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (/.f64 (log.f64 N) N))) (+.f64 (/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1 binary64) N))) N)) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
	28.6%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	29.0%	(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N)))
	28.1%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	28.1%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))
	26.6%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64)))
▶	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N N) (*.f64 N N)))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N (.f64 N N)) (.f64 (*.f64 N N) N)))
	95.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #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)) (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 N N)) #s(literal -1 binary64)))) N))
	94.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	95.8%	#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))
	94.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) #s(literal -1 binary64)) N))
▶	91.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
	95.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N))))
	95.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) N))
▶	96.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))
✓	83.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
	95.8%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) #s(literal -1 binary64))))
	95.8%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))
▶	91.5%	#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (*.f64 (log.f64 (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))) #s(literal -1 binary64))))
	95.4%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))

Compiler

Compiled 2 559 to 1 211 computations (52.7% saved)

simplify261.0ms (3.2%)

Memory

-10.9MiB live, 139.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) #s(literal 2/3 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (/.f64 (log.f64 N) N))
cost-diff	192	(.f64 #s(approx ( (log (+ (* N N) N)) (log (/ N (+ 1 N)))) (/.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 (.f64 N N) N)) #s(literal -1/2 binary64) (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) #s(literal 2/3 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (/.f64 (log.f64 N) N))) (+.f64 (/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1 binary64) N))) N)) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
cost-diff	6720	(fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) #s(literal 2/3 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))))
cost-diff	6720	(fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 (.f64 N N) N)) #s(literal -1/2 binary64) (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) #s(literal 2/3 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (/.f64 (log.f64 N) N)))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (*.f64 (log.f64 (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))) #s(literal -1 binary64))))
cost-diff	192	(*.f64 (log.f64 (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))) #s(literal -1 binary64))
cost-diff	384	(/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))
cost-diff	12928	(exp.f64 (*.f64 (log.f64 (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))) #s(literal -1 binary64)))
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 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N N) (*.f64 N N))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N N) (*.f64 N N)))
cost-diff	896	(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N N)
cost-diff	0	#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
cost-diff	0	(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
cost-diff	0	(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
cost-diff	0	(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))
cost-diff	384	(/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))

Rules

21 094×	`lower-fma.f32`
21 084×	`lower-fma.f64`
3 838×	`lower--.f32`
3 828×	`lower--.f64`
3 198×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	848
0	111	842
1	195	812
2	428	775
3	1337	761
4	5057	761
0	8306	739

Stop Event

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

Calls

Call 1

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

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

localize336.0ms (4.1%)

Memory

28.7MiB live, 225.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.30859375	(/.f64 (neg.f64 (log.f64 N)) (.f64 (.f64 N N) N))
accuracy	0.33203125	(/.f64 (neg.f64 (log.f64 N)) (*.f64 N N))
accuracy	0.3671875	(/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N))
accuracy	2.4671193514897976	#s(approx (* (log (+ (* N N) N)) (log (/ N (+ 1 N)))) (/.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 (.f64 N N) N)) #s(literal -1/2 binary64) (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) #s(literal 2/3 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (/.f64 (log.f64 N) N))) (+.f64 (/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1 binary64) N))) N))
accuracy	0.11328125	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.328125	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.559882433820448	#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (*.f64 (log.f64 (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))) #s(literal -1 binary64))))
accuracy	2.9820176825454476	(exp.f64 (*.f64 (log.f64 (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))) #s(literal -1 binary64)))
accuracy	0.11328125	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.28744125976844204	(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N N) (*.f64 N N))
accuracy	0.328125	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.559882433820448	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N N) (*.f64 N N)))
accuracy	0	(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
accuracy	0.09375	(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)
accuracy	2.559882433820448	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
accuracy	10.853850668301284	#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
accuracy	0.09375	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
accuracy	0.11328125	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.328125	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.559882433820448	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))

Samples

217.0ms	194×	1	valid
65.0ms	62×	0	valid

Compiler

Compiled 684 to 58 computations (91.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

ival-div: 40.0ms (18.4% of total)

ival-sub: 40.0ms (18.4% of total)

ival-mult: 28.0ms (12.9% of total)

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

ival-log: 24.0ms (11% of total)

adjust: 18.0ms (8.3% of total)

ival-add: 13.0ms (6% of total)

const: 12.0ms (5.5% of total)

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

ival-exp: 5.0ms (2.3% of total)

exact: 1.0ms (0.5% of total)

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

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

series71.0ms (0.9%)

Memory

-24.4MiB live, 63.6MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (patch (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) #<representation binary64>) () ())
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#s(alt (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 (.f64 N N) N)) #s(literal -1/2 binary64) (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) #s(literal 2/3 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (/.f64 (log.f64 N) N))) (patch (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 (.f64 N N) N)) #s(literal -1/2 binary64) (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) #s(literal 2/3 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (/.f64 (log.f64 N) N))) #<representation binary64>) () ())
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#s(alt (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (patch (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) #<representation binary64>) () ())
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Outputs
#s(alt (/ -1/4 (pow N 4)) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/3 N) 1/4) (pow N 4)) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow N 4) (- (* -16/3 N) 4)) (taylor 0 N) (#s(alt (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (patch (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4)) (taylor 0 N) (#s(alt (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (patch (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4)) (taylor 0 N) (#s(alt (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (patch (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (- N (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ -1/4 (pow N 3)) (taylor 0 N) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/3 N) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -2/3 (log (/ -1 N))) 1) N))) 1) N))) N)) (taylor -inf N) (#s(alt #s(approx (* (log (+ (* N N) N)) (log (/ N (+ 1 N)))) (/.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 (.f64 N N) N)) #s(literal -1/2 binary64) (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) #s(literal 2/3 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (/.f64 (log.f64 N) N))) (+.f64 (/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1 binary64) N))) N)) (patch #s(approx (* (log (+ (* N N) N)) (log (/ N (+ 1 N)))) (/.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 (.f64 N N) N)) #s(literal -1/2 binary64) (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) #s(literal 2/3 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (/.f64 (log.f64 N) N))) (+.f64 (/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1 binary64) N))) N)) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf N) (#s(alt #s(approx (* (log (+ (* N N) N)) (log (/ N (+ 1 N)))) (/.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 (.f64 N N) N)) #s(literal -1/2 binary64) (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) #s(literal 2/3 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (/.f64 (log.f64 N) N))) (+.f64 (/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1 binary64) N))) N)) (patch #s(approx (* (log (+ (* N N) N)) (log (/ N (+ 1 N)))) (/.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 (.f64 N N) N)) #s(literal -1/2 binary64) (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) #s(literal 2/3 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (/.f64 (log.f64 N) N))) (+.f64 (/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1 binary64) N))) N)) #<representation binary64>) () ())) ())
#s(alt (/ 11/12 (pow N 3)) (taylor -inf N) (#s(alt (/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N)) (patch (/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N)) #<representation binary64>) () ())) ())
#s(alt (/ 11/12 (pow N 3)) (taylor -inf N) (#s(alt (/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N)) (patch (/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N)) #<representation binary64>) () ())) ())
#s(alt (/ 11/12 (pow N 3)) (taylor -inf N) (#s(alt (/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N)) (patch (/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N)) #<representation binary64>) () ())) ())
#s(alt (/ 11/12 (pow N 3)) (taylor -inf N) (#s(alt (/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N)) (patch (/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2))) (taylor -inf N) (#s(alt (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (patch (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2))) (taylor -inf N) (#s(alt (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (patch (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2))) (taylor -inf N) (#s(alt (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (patch (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2))) (taylor -inf N) (#s(alt (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (patch (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 3))) (taylor -inf N) (#s(alt (/.f64 (neg.f64 (log.f64 N)) (.f64 (.f64 N N) N)) (patch (/.f64 (neg.f64 (log.f64 N)) (.f64 (.f64 N N) N)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 3))) (taylor -inf N) (#s(alt (/.f64 (neg.f64 (log.f64 N)) (.f64 (.f64 N N) N)) (patch (/.f64 (neg.f64 (log.f64 N)) (.f64 (.f64 N N) N)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 3))) (taylor -inf N) (#s(alt (/.f64 (neg.f64 (log.f64 N)) (.f64 (.f64 N N) N)) (patch (/.f64 (neg.f64 (log.f64 N)) (.f64 (.f64 N N) N)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 3))) (taylor -inf N) (#s(alt (/.f64 (neg.f64 (log.f64 N)) (.f64 (.f64 N N) N)) (patch (/.f64 (neg.f64 (log.f64 N)) (.f64 (.f64 N N) N)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

30.0ms

((/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (- (log (+ N 1)) (log N)) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (+ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) N) (- (log (+ N 1)) (log N)) (/ (+ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) N) (* N N)) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (exp (* (log (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) -1)) (* (log (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) -1) (- (log (+ N 1)) (log N)) (+ (* (/ (neg (log N)) (* (* N N) N)) -1/2) (+ (+ (* (/ (neg (log N)) (* N N)) 2/3) (+ (* (neg (log N)) 2) (/ 1 (* N N)))) (/ (log N) N))) (+ (* (/ (neg (log N)) (* N N)) 2/3) (+ (* (neg (log N)) 2) (/ 1 (* N N)))) (* (* (log (+ (* N N) N)) (log (/ N (+ 1 N)))) (/ 1 (neg (log (+ (* N N) N))))) (+ (+ (* (/ (neg (log N)) (* N N)) 2/3) (+ (* (neg (log N)) 2) (/ 1 (* N N)))) (/ (log N) N)) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (* (log (+ (* N N) N)) (log (/ N (+ 1 N)))) (/ 11/12 (* (* N N) N)) (/ (neg (log N)) (* N N)) (/ (neg (log N)) (* (* N N) N)))

10.0ms

inf

((/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (- (log (+ N 1)) (log N)) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (+ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) N) (- (log (+ N 1)) (log N)) (/ (+ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) N) (* N N)) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (exp (* (log (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) -1)) (* (log (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) -1) (- (log (+ N 1)) (log N)) (+ (* (/ (neg (log N)) (* (* N N) N)) -1/2) (+ (+ (* (/ (neg (log N)) (* N N)) 2/3) (+ (* (neg (log N)) 2) (/ 1 (* N N)))) (/ (log N) N))) (+ (* (/ (neg (log N)) (* N N)) 2/3) (+ (* (neg (log N)) 2) (/ 1 (* N N)))) (* (* (log (+ (* N N) N)) (log (/ N (+ 1 N)))) (/ 1 (neg (log (+ (* N N) N))))) (+ (+ (* (/ (neg (log N)) (* N N)) 2/3) (+ (* (neg (log N)) 2) (/ 1 (* N N)))) (/ (log N) N)) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (* (log (+ (* N N) N)) (log (/ N (+ 1 N)))) (/ 11/12 (* (* N N) N)) (/ (neg (log N)) (* N N)) (/ (neg (log N)) (* (* N N) N)))

10.0ms

-inf

((/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (- (log (+ N 1)) (log N)) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (+ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) N) (- (log (+ N 1)) (log N)) (/ (+ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) N) (* N N)) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (exp (* (log (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) -1)) (* (log (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) -1) (- (log (+ N 1)) (log N)) (+ (* (/ (neg (log N)) (* (* N N) N)) -1/2) (+ (+ (* (/ (neg (log N)) (* N N)) 2/3) (+ (* (neg (log N)) 2) (/ 1 (* N N)))) (/ (log N) N))) (+ (* (/ (neg (log N)) (* N N)) 2/3) (+ (* (neg (log N)) 2) (/ 1 (* N N)))) (* (* (log (+ (* N N) N)) (log (/ N (+ 1 N)))) (/ 1 (neg (log (+ (* N N) N))))) (+ (+ (* (/ (neg (log N)) (* N N)) 2/3) (+ (* (neg (log N)) 2) (/ 1 (* N N)))) (/ (log N) N)) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (* (log (+ (* N N) N)) (log (/ N (+ 1 N)))) (/ 11/12 (* (* N N) N)) (/ (neg (log N)) (* N N)) (/ (neg (log N)) (* (* N N) N)))

simplify296.0ms (3.6%)

Memory

-8.3MiB live, 148.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 760×	`lower-fma.f64`
13 760×	`lower-fma.f32`
6 842×	`lower-+.f64`
6 842×	`lower-+.f32`
5 060×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	367	3386
1	1069	3087
2	2971	2955
0	8807	2815

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 296

Calls

Call 1

Inputs
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(* -4 (pow N 4))
(* (pow N 4) (- (* -16/3 N) 4))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 2))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(* -1 (+ (log -4) (* 4 (log N))))
(+ (* -4/3 N) (* -1 (+ (log -4) (* 4 (log N)))))
(+ (* -1 (+ (log -4) (* 4 (log N)))) (* N (- (* 10/9 N) 4/3)))
(+ (* -1 (+ (log -4) (* 4 (log N)))) (* N (- (* N (+ 10/9 (* -172/81 N))) 4/3)))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(* 1/2 (/ (log N) (pow N 3)))
(/ (+ (* 1/2 (log N)) (* N (+ 1 (* -2/3 (log N))))) (pow N 3))
(/ (+ (* 1/2 (log N)) (* N (+ 1 (+ (* -2/3 (log N)) (* N (log N)))))) (pow N 3))
(/ (+ (* 1/2 (log N)) (* N (+ 1 (+ (* -2/3 (log N)) (* N (+ (log N) (* -2 (* N (log N))))))))) (pow N 3))
(/ (+ 1 (* -2/3 (log N))) (pow N 2))
(/ (+ 1 (+ (* -2 (* (pow N 2) (log N))) (* -2/3 (log N)))) (pow N 2))
(/ (+ 1 (+ (* -2 (* (pow N 2) (log N))) (* -2/3 (log N)))) (pow N 2))
(/ (+ 1 (+ (* -2 (* (pow N 2) (log N))) (* -2/3 (log N)))) (pow N 2))
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ (+ 1 (* -2/3 (log N))) (pow N 2))
(/ (+ 1 (+ (* -2/3 (log N)) (* N (log N)))) (pow N 2))
(/ (+ 1 (+ (* -2/3 (log N)) (* N (+ (log N) (* -2 (* N (log N))))))) (pow N 2))
(/ (+ 1 (+ (* -2/3 (log N)) (* N (+ (log N) (* -2 (* N (log N))))))) (pow N 2))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(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))
(/ 11/12 (pow N 3))
(/ 11/12 (pow N 3))
(/ 11/12 (pow N 3))
(/ 11/12 (pow N 3))
(* -1 (/ (log N) (pow N 2)))
(* -1 (/ (log N) (pow N 2)))
(* -1 (/ (log N) (pow N 2)))
(* -1 (/ (log N) (pow N 2)))
(* -1 (/ (log N) (pow N 3)))
(* -1 (/ (log N) (pow N 3)))
(* -1 (/ (log N) (pow N 3)))
(* -1 (/ (log N) (pow N 3)))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
N
(* 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))))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(log (/ 1 N))
(- (log (/ 1 N)) (* 1/2 (/ 1 N)))
(- (+ (log (/ 1 N)) (/ 5/24 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ (log (/ 1 N)) (/ 5/24 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3)))))
(/ 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)
(* 2 (log (/ 1 N)))
(+ (* -1 (/ (log (/ 1 N)) N)) (* 2 (log (/ 1 N))))
(+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2)))))
(+ (* -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))))))
(* 2 (log (/ 1 N)))
(+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2))))
(+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2))))
(+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(* 2 (log (/ 1 N)))
(+ (* -1 (/ (log (/ 1 N)) N)) (* 2 (log (/ 1 N))))
(+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2)))))
(+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (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
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(* 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)
(/ 11/12 (pow N 3))
(/ 11/12 (pow N 3))
(/ 11/12 (pow N 3))
(/ 11/12 (pow N 3))
(/ (log (/ 1 N)) (pow N 2))
(/ (log (/ 1 N)) (pow N 2))
(/ (log (/ 1 N)) (pow N 2))
(/ (log (/ 1 N)) (pow N 2))
(/ (log (/ 1 N)) (pow N 3))
(/ (log (/ 1 N)) (pow N 3))
(/ (log (/ 1 N)) (pow N 3))
(/ (log (/ 1 N)) (pow N 3))
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
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 (/ (- (* 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 (* 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 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
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)))
(/ -1/2 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))
N
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
(* -1 (* N (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/ -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 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 -1) (* -1 (log (/ -1 N)))))
(- (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (/ 1 N)))
(+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (- 1/2 (* 5/24 (/ 1 N))) N)))
(+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1/2 (* -1 (/ (- 5/24 (* 1/8 (/ 1 N))) N))) N)))
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(* -2 (+ (log -1) (* -1 (log (/ -1 N)))))
(+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (log (/ -1 N)) N)) (/ (log -1) N)))
(+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)))
(+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)))) N))) N)))
(* -2 (+ (log -1) (* -1 (log (/ -1 N)))))
(+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2))) (/ 1 (pow N 2))))
(+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2))) (/ 1 (pow N 2))))
(+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2))) (/ 1 (pow N 2))))
(/ 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))
(* -2 (+ (log -1) (* -1 (log (/ -1 N)))))
(+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (log (/ -1 N)) N)) (/ (log -1) N)))
(+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)))
(+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)))
(/ -1/3 N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(* 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))
(/ 11/12 (pow N 3))
(/ 11/12 (pow N 3))
(/ 11/12 (pow N 3))
(/ 11/12 (pow N 3))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 3)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 3)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 3)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 3)))

Outputs
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* -4 (pow N 4))
(*.f64 #s(literal -4 binary64) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (- (* -16/3 N) 4))
(*.f64 (fma.f64 #s(literal -16/3 binary64) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(*.f64 (fma.f64 (fma.f64 #s(literal 8/9 binary64) N #s(literal -16/3 binary64)) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -112/27 binary64) N #s(literal 8/9 binary64)) N #s(literal -16/3 binary64)) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N) N (-.f64 N (log.f64 N)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N) N (-.f64 N (log.f64 N)))
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))
(/ -1/4 (pow N 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 N N))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N N))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 2))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N N))
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N) N (-.f64 N (log.f64 N)))
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) N))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* -1 (+ (log -4) (* 4 (log N))))
(neg.f64 (fma.f64 (log.f64 N) #s(literal 4 binary64) (log.f64 #s(literal -4 binary64))))
(+ (* -4/3 N) (* -1 (+ (log -4) (* 4 (log N)))))
(fma.f64 #s(literal -4/3 binary64) N (neg.f64 (fma.f64 (log.f64 N) #s(literal 4 binary64) (log.f64 #s(literal -4 binary64)))))
(+ (* -1 (+ (log -4) (* 4 (log N)))) (* N (- (* 10/9 N) 4/3)))
(fma.f64 (fma.f64 #s(literal 10/9 binary64) N #s(literal -4/3 binary64)) N (neg.f64 (fma.f64 (log.f64 N) #s(literal 4 binary64) (log.f64 #s(literal -4 binary64)))))
(+ (* -1 (+ (log -4) (* 4 (log N)))) (* N (- (* N (+ 10/9 (* -172/81 N))) 4/3)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -172/81 binary64) N #s(literal 10/9 binary64)) N #s(literal -4/3 binary64)) N (neg.f64 (fma.f64 (log.f64 N) #s(literal 4 binary64) (log.f64 #s(literal -4 binary64)))))
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
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(*.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 N))) N) #s(literal 2 binary64))
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1) N))) N))
(/.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (neg.f64 N)))) N)) N)
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -2/3 (log (/ -1 N))) 1) N))) 1) N))) N))
(/.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal 2/3 binary64) #s(literal 1 binary64)) N) (neg.f64 (log.f64 (neg.f64 N)))) #s(literal 1 binary64)) (neg.f64 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 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -2/3 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 (log.f64 (neg.f64 N))) #s(literal -1/2 binary64) #s(literal -11/12 binary64)) N)) N) (neg.f64 (log.f64 (neg.f64 N))))) (neg.f64 N))) (neg.f64 N))
(/ 11/12 (pow N 3))
(/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N))
(/ 11/12 (pow N 3))
(/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N))
(/ 11/12 (pow N 3))
(/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N))
(/ 11/12 (pow N 3))
(/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2)))
(/.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 N))) (log.f64 #s(literal -1 binary64))) (*.f64 N N))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2)))
(/.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 N))) (log.f64 #s(literal -1 binary64))) (*.f64 N N))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2)))
(/.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 N))) (log.f64 #s(literal -1 binary64))) (*.f64 N N))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 2)))
(/.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 N))) (log.f64 #s(literal -1 binary64))) (*.f64 N N))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 3)))
(/.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 N))) (log.f64 #s(literal -1 binary64))) (.f64 (.f64 N N) N))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 3)))
(/.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 N))) (log.f64 #s(literal -1 binary64))) (.f64 (.f64 N N) N))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 3)))
(/.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 N))) (log.f64 #s(literal -1 binary64))) (.f64 (.f64 N N) N))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow N 3)))
(/.f64 (-.f64 (neg.f64 (log.f64 (neg.f64 N))) (log.f64 #s(literal -1 binary64))) (.f64 (.f64 N N) N))

rewrite205.0ms (2.5%)

Memory

26.3MiB live, 334.8MiB allocated

Rules

4 226×	`lower-*.f32`
4 218×	`lower-*.f64`
3 794×	`lower-/.f32`
3 762×	`lower-/.f64`
3 566×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	527
0	111	503
1	479	484
2	4593	480
0	9149	463

Stop Event

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

Counts

25 → 647

Calls

Call 1

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

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

eval219.0ms (2.7%)

Memory: -0.2MiB live, 396.5MiB allocated
Compiler: Compiled 47 456 to 3 970 computations (91.6% saved)

prune178.0ms (2.2%)

Memory

-10.9MiB live, 439.8MiB allocated

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	1 281	11	1 292
Fresh	13	20	33
Picked	5	0	5
Done	0	3	3
Total	1 299	34	1 333

Accuracy

99.7%

Counts

1 333 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	27.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.5%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (log.f64 (fma.f64 N N N))))))
✓	25.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.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))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))
	25.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.6%	(/.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))))))
	25.4%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
▶	25.9%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
	95.4%	(/.f64 #s(approx (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (+.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (.f64 N N))) (fma.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) N) (/.f64 (.f64 (-.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (fma.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal -1/2 binary64) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (.f64 (.f64 N N) N))) (fma.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (+.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 (.f64 N N) N)) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 N N))) (+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 N N) N)) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64))) N))))) N)) (.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))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))
	28.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
	25.7%	(-.f64 (log1p.f64 N) (log.f64 N))
	25.5%	(.f64 (+.f64 (.f64 (neg.f64 (log1p.f64 N)) (log.f64 (fma.f64 N N N))) (*.f64 (log.f64 N) (log.f64 (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
	28.6%	(*.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))))
▶	28.6%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	29.0%	(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N)))
	28.1%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	28.1%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))
	26.6%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64)))
	94.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	95.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
▶	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) #s(literal -1 binary64)) N))
	95.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) N))
	95.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 N N))) (.f64 N N)))
	91.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) N) (-.f64 N #s(literal 1/2 binary64))) (*.f64 N N)))
	94.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) N) (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (*.f64 N N)))
	96.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) #s(literal -1 binary64)))))
	95.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N #s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))))))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 N N)) N (+.f64 #s(literal 1/2 binary64) N)))))
▶	96.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N)))))
▶	92.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N))))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N))))))
✓	83.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (.f64 N N))))
	92.0%	#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (.f64 (log.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))) N)))) #s(literal -1 binary64))))

Compiler

Compiled 1 787 to 851 computations (52.4% saved)

simplify173.0ms (2.1%)

Memory

16.3MiB live, 173.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
cost-diff	64	(-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
cost-diff	192	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
cost-diff	256	(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))))
cost-diff	0	(+.f64 #s(literal 1 binary64) N)
cost-diff	0	(/.f64 N (+.f64 #s(literal 1 binary64) N))
cost-diff	0	(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
cost-diff	0	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
cost-diff	0	#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N)))
cost-diff	0	(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) #s(literal -1 binary64))
cost-diff	0	(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) #s(literal -1 binary64)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) #s(literal -1 binary64)) N))
cost-diff	0	(+.f64 #s(literal 1/2 binary64) N)
cost-diff	0	#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N)))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N)))))
cost-diff	320	(-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (*.f64 N N)))
cost-diff	960	(.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N)

Rules

7 298×	`lower-fma.f32`
7 294×	`lower-fma.f64`
5 082×	`lower-*.f32`
5 076×	`lower-*.f64`
1 670×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	521
0	81	520
1	130	486
2	228	486
3	475	486
4	952	466
5	1869	466
6	3778	456
7	5740	456
8	6835	456
9	7357	456
10	7786	456
11	7944	456
0	9053	446

Stop Event

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

Calls

Call 1

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

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

localize314.0ms (3.8%)

Memory

-5.8MiB live, 353.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.48666000976844204	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
accuracy	0.524765039073768	(pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))
accuracy	45.6569685860439	(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
accuracy	46.036522038342866	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
accuracy	0	(+.f64 #s(literal 1 binary64) N)
accuracy	0	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
accuracy	0.01171875	(/.f64 N (+.f64 #s(literal 1 binary64) N))
accuracy	45.6569685860439	(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
accuracy	0.14453125	(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64))
accuracy	0.23046875	(.f64 (.f64 N N) N)
accuracy	0.359375	(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))
accuracy	2.559882433820448	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) #s(literal -1 binary64)) N))
accuracy	0	(+.f64 #s(literal 1/2 binary64) N)
accuracy	0.05078125	(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N)))
accuracy	2.559882433820448	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N))))
accuracy	4.7809034280483065	#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N))
accuracy	0.421875	(/.f64 #s(literal 1/12 binary64) (*.f64 N N))
accuracy	0.4453125	(/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N))
accuracy	2.548834864184812	#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N)))
accuracy	2.559882433820448	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N)))))

Samples

220.0ms	199×	1	valid
45.0ms	57×	0	valid

Compiler

Compiled 348 to 49 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 201.0ms

ival-div: 51.0ms (25.4% of total)

ival-sub: 27.0ms (13.4% of total)

const: 26.0ms (12.9% of total)

ival-log: 25.0ms (12.4% of total)

adjust: 16.0ms (8% of total)

ival-pow2: 15.0ms (7.5% of total)

ival-neg: 12.0ms (6% of total)

ival-add: 10.0ms (5% of total)

ival-mult: 10.0ms (5% of total)

ival-log1p: 8.0ms (4% of total)

exact: 1.0ms (0.5% of total)

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

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

series57.0ms (0.7%)

Memory

-1.9MiB live, 44.9MiB allocated

Counts

27 → 324

Calls

Call 1

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

Outputs
#s(alt (/ 1/24 (pow N 2)) (taylor 0 N) (#s(alt (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N) (patch (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/24 (* -1/12 N)) (pow N 2)) (taylor 0 N) (#s(alt (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N) (patch (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/24 (* -1/12 N)) (pow N 2)) (taylor 0 N) (#s(alt (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N) (patch (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/24 (* -1/12 N)) (pow N 2)) (taylor 0 N) (#s(alt (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N) (patch (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N) #<representation binary64>) () ())) ())
#s(alt (/ 1/24 (pow N 3)) (taylor 0 N) (#s(alt (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) (patch (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/24 (* -1/12 N)) (pow N 3)) (taylor 0 N) (#s(alt (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) (patch (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/24 (* -1/12 N)) (pow N 3)) (taylor 0 N) (#s(alt (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) (patch (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/24 (* -1/12 N)) (pow N 3)) (taylor 0 N) (#s(alt (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) (patch (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 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) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))) #<representation binary64>) () ())) ())
#s(alt (- N (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 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 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 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 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))) #<representation binary64>) () ())) ())
#s(alt (/ -1/4 (pow N 4)) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N)))) #<representation binary64>) () ())) ())
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#s(alt (* N (+ 1 (* 1/2 (/ 1 N)))) (taylor -inf N) (#s(alt #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))) (patch #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1))) (taylor -inf N) (#s(alt #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))) (patch #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1))) (taylor -inf N) (#s(alt #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))) (patch #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))) #<representation binary64>) () ())) ())
#s(alt (/ 1/24 (pow N 3)) (taylor -inf N) (#s(alt (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (patch (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) #<representation binary64>) () ())) ())
#s(alt (/ 1/24 (pow N 3)) (taylor -inf N) (#s(alt (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (patch (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) #<representation binary64>) () ())) ())
#s(alt (/ 1/24 (pow N 3)) (taylor -inf N) (#s(alt (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (patch (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) #<representation binary64>) () ())) ())
#s(alt (/ 1/24 (pow N 3)) (taylor -inf N) (#s(alt (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (patch (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) #<representation binary64>) () ())) ())
#s(alt (/ 1/12 (pow N 2)) (taylor -inf N) (#s(alt (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (patch (/.f64 #s(literal 1/12 binary64) (.f64 N N)) #<representation binary64>) () ())) ())
#s(alt (/ 1/12 (pow N 2)) (taylor -inf N) (#s(alt (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (patch (/.f64 #s(literal 1/12 binary64) (.f64 N N)) #<representation binary64>) () ())) ())
#s(alt (/ 1/12 (pow N 2)) (taylor -inf N) (#s(alt (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (patch (/.f64 #s(literal 1/12 binary64) (.f64 N N)) #<representation binary64>) () ())) ())
#s(alt (/ 1/12 (pow N 2)) (taylor -inf N) (#s(alt (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (patch (/.f64 #s(literal 1/12 binary64) (.f64 N N)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 N) (taylor -inf N) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N)) (patch (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)) (taylor -inf N) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N)) (patch (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) (taylor -inf N) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N)) (patch (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)) (taylor -inf N) (#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N)) (patch (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N)) #<representation binary64>) () ())) ())
#s(alt (pow N 3) (taylor -inf N) (#s(alt (.f64 (.f64 N N) N) (patch (.f64 (.f64 N N) N) #<representation binary64>) () ())) ())
#s(alt (pow N 3) (taylor -inf N) (#s(alt (.f64 (.f64 N N) N) (patch (.f64 (.f64 N N) N) #<representation binary64>) () ())) ())
#s(alt (pow N 3) (taylor -inf N) (#s(alt (.f64 (.f64 N N) N) (patch (.f64 (.f64 N N) N) #<representation binary64>) () ())) ())
#s(alt (pow N 3) (taylor -inf N) (#s(alt (.f64 (.f64 N N) N) (patch (.f64 (.f64 N N) N) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (pow N 2)) (taylor -inf N) (#s(alt (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (- (* 1/3 (/ 1 N)) 1/2)) (taylor -inf N) (#s(alt (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)) (taylor -inf N) (#s(alt (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)) (taylor -inf N) (#s(alt (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow N 2)) (taylor -inf N) (#s(alt (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ 1 N)) (pow N 2)) (taylor -inf N) (#s(alt (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (- 1 (* 11/12 (/ 1 N))) N))) (pow N 2)) (taylor -inf N) (#s(alt (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 11/12 (* 5/6 (/ 1 N))) N))) N))) (pow N 2)) (taylor -inf N) (#s(alt (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

38.0ms

-inf

((* (- (/ 1/24 (* (* N N) N)) (/ 1/12 (* N N))) N) (- (/ 1/24 (* (* N N) N)) (/ 1/12 (* N N))) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg (log (/ N (+ 1 N)))) (log (/ N (+ 1 N))) (/ N (+ 1 N)) (+ 1 N) (neg (- 0 (pow (log (/ N (+ 1 N))) 2))) (log (/ (+ 1 N) N)) (- 0 (pow (log (/ N (+ 1 N))) 2)) (/ (neg (- 0 (pow (log (/ N (+ 1 N))) 2))) (log (/ (+ 1 N) N))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ 1/24 (* (* N N) N)) (/ 1/12 (* N N)) (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (* (* N N) N)) (* (* N N) N) (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow (log (/ N (+ 1 N))) 2))

3.0ms

((* (- (/ 1/24 (* (* N N) N)) (/ 1/12 (* N N))) N) (- (/ 1/24 (* (* N N) N)) (/ 1/12 (* N N))) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg (log (/ N (+ 1 N)))) (log (/ N (+ 1 N))) (/ N (+ 1 N)) (+ 1 N) (neg (- 0 (pow (log (/ N (+ 1 N))) 2))) (log (/ (+ 1 N) N)) (- 0 (pow (log (/ N (+ 1 N))) 2)) (/ (neg (- 0 (pow (log (/ N (+ 1 N))) 2))) (log (/ (+ 1 N) N))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ 1/24 (* (* N N) N)) (/ 1/12 (* N N)) (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (* (* N N) N)) (* (* N N) N) (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow (log (/ N (+ 1 N))) 2))

2.0ms

inf

((* (- (/ 1/24 (* (* N N) N)) (/ 1/12 (* N N))) N) (- (/ 1/24 (* (* N N) N)) (/ 1/12 (* N N))) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+ 1/2 N) (- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (neg (log (/ N (+ 1 N)))) (log (/ N (+ 1 N))) (/ N (+ 1 N)) (+ 1 N) (neg (- 0 (pow (log (/ N (+ 1 N))) 2))) (log (/ (+ 1 N) N)) (- 0 (pow (log (/ N (+ 1 N))) 2)) (/ (neg (- 0 (pow (log (/ N (+ 1 N))) 2))) (log (/ (+ 1 N) N))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ 1/24 (* (* N N) N)) (/ 1/12 (* N N)) (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (* (* N N) N)) (* (* N N) N) (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow (log (/ N (+ 1 N))) 2))

simplify251.0ms (3.1%)

Memory

8.9MiB live, 167.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 812×	`lower-fma.f64`
10 812×	`lower-fma.f32`
3 794×	`lower-+.f64`
3 794×	`lower-+.f32`
3 592×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	317	2895
1	913	2685
2	2338	2639
3	6834	2638
0	8278	2527

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 315

Calls

Call 1

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

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

rewrite274.0ms (3.3%)

Memory

-4.9MiB live, 189.8MiB allocated

Rules

5 296×	`lower-/.f32`
5 278×	`lower-/.f64`
2 820×	`lower-*.f32`
2 814×	`lower-*.f64`
2 136×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	446
0	81	406
1	380	402
2	3123	392
0	8651	379

Stop Event

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

Counts

27 → 893

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal 1/12 binary64)) (.f64 N N)) N)
(.f64 N (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal 1/12 binary64)) (.f64 N N)))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 N N) N) N))) N)) (neg.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)))))
(/.f64 (neg.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal 1/1728 binary64) (.f64 (.f64 N N) N))) (.f64 (.f64 N N) N)) N)) (neg.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N))) (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (*.f64 N N))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 N N) #s(literal 1/24 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (.f64 N N) N))) N)) (neg.f64 (.f64 (.f64 (.f64 (.f64 N N) N) N) N)))
(/.f64 (neg.f64 (.f64 N (-.f64 (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 N N) N) N))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)))))
(/.f64 (neg.f64 (.f64 N (/.f64 (-.f64 (/.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal 1/1728 binary64) (.f64 (.f64 N N) N))) (.f64 (.f64 N N) N)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N))) (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (*.f64 N N))))))
(/.f64 (neg.f64 (.f64 N (-.f64 (.f64 (.f64 N N) #s(literal 1/24 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (.f64 N N) N))))) (neg.f64 (.f64 (.f64 (.f64 (.f64 N N) N) N) N)))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 N N) N) N))) N) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N))))
(/.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal 1/1728 binary64) (.f64 (.f64 N N) N))) (.f64 (.f64 N N) N)) N) (fma.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N))) (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (*.f64 N N)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 N N) #s(literal 1/24 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (.f64 N N) N))) N) (.f64 (.f64 (.f64 (.f64 N N) N) N) N))
(/.f64 (.f64 N (-.f64 (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 N N) N) N)))) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N))))
(/.f64 (.f64 N (/.f64 (-.f64 (/.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal 1/1728 binary64) (.f64 (.f64 N N) N))) (.f64 (.f64 N N) N))) (fma.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N))) (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (*.f64 N N)))))
(/.f64 (.f64 N (-.f64 (.f64 (.f64 N N) #s(literal 1/24 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (.f64 N N) N)))) (.f64 (.f64 (.f64 (.f64 N N) N) N) N))
(fma.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) N (.f64 (/.f64 #s(literal -1/12 binary64) (.f64 N N)) N))
(fma.f64 N (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (.f64 N (/.f64 #s(literal -1/12 binary64) (.f64 N N))))
(+.f64 (.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) N) (.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 N N)) N))
(+.f64 (.f64 N (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N))) (.f64 N (/.f64 #s(literal -1/12 binary64) (*.f64 N N))))
(.f64 (-.f64 (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 N N) N) N))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)))))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal 1/1728 binary64) (.f64 (.f64 N N) N))) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N))) (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (*.f64 N N))))))
(.f64 (-.f64 (.f64 (.f64 N N) #s(literal 1/24 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (.f64 N N) N))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) N)))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N))) (-.f64 (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal 1/144 binary64) (.f64 (.f64 (*.f64 N N) N) N)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N))) (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N)))) (/.f64 (-.f64 (/.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal 1/1728 binary64) (.f64 (.f64 N N) N))) (.f64 (.f64 N N) N))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 N N) N) N) N) (-.f64 (.f64 (.f64 N N) #s(literal 1/24 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (*.f64 N N) N)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 (.f64 (.f64 N N) #s(literal 1/24 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (.f64 N N) N))) (.f64 (.f64 N N) N))) (.f64 (neg.f64 N) N))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 N N) N) N))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (/.f64 #s(literal 1/24 binary64) (.f64 (*.f64 N N) N))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal 1/1728 binary64) (.f64 (.f64 N N) N))) (.f64 (.f64 N N) N)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N))) (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 N N) #s(literal 1/24 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (.f64 N N) N))))) (neg.f64 (neg.f64 (.f64 (.f64 (.f64 (*.f64 N N) N) N) N))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N N)) N) (.f64 N (/.f64 #s(literal 1/12 binary64) N)))) (.f64 (neg.f64 N) N))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N N)) (.f64 (neg.f64 N) N)) (.f64 N #s(literal -1/12 binary64)))) (neg.f64 (.f64 (.f64 (neg.f64 N) N) N)))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N N)) (.f64 (.f64 N N) #s(literal 12 binary64))) N)) (neg.f64 (.f64 N (.f64 (*.f64 N N) #s(literal 12 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N N)) (.f64 N N)) (.f64 N #s(literal 1/12 binary64)))) (.f64 (.f64 (neg.f64 N) N) N))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/24 binary64) N) (.f64 (.f64 (.f64 (neg.f64 N) N) N) (/.f64 #s(literal 1/12 binary64) N)))) (neg.f64 (.f64 (.f64 (*.f64 (neg.f64 N) N) N) N)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/24 binary64) (.f64 (neg.f64 N) N)) (.f64 (.f64 (.f64 (neg.f64 N) N) N) #s(literal -1/12 binary64)))) (neg.f64 (.f64 (.f64 (.f64 (neg.f64 N) N) N) (*.f64 (neg.f64 N) N))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 N N) #s(literal 12 binary64))) (.f64 (.f64 (.f64 (neg.f64 N) N) N) #s(literal 1 binary64)))) (neg.f64 (.f64 (.f64 (.f64 (neg.f64 N) N) N) (.f64 (*.f64 N N) #s(literal 12 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/24 binary64) (.f64 N N)) (.f64 (.f64 (.f64 (neg.f64 N) N) N) #s(literal 1/12 binary64)))) (neg.f64 (.f64 (.f64 (.f64 (neg.f64 N) N) N) (*.f64 N N))))
(/.f64 (neg.f64 (-.f64 N (.f64 (.f64 (.f64 (.f64 N N) N) #s(literal 24 binary64)) (/.f64 #s(literal 1/12 binary64) N)))) (neg.f64 (.f64 (.f64 (.f64 (.f64 N N) N) #s(literal 24 binary64)) N)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 N) N)) (.f64 (.f64 (.f64 (.f64 N N) N) #s(literal 24 binary64)) #s(literal -1/12 binary64)))) (neg.f64 (.f64 (.f64 (.f64 (.f64 N N) N) #s(literal 24 binary64)) (*.f64 (neg.f64 N) N))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 N N) #s(literal 12 binary64))) (.f64 (.f64 (.f64 (.f64 N N) N) #s(literal 24 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (.f64 (.f64 (.f64 N N) N) #s(literal 24 binary64)) (.f64 (*.f64 N N) #s(literal 12 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 N N) (.f64 (.f64 (.f64 (.f64 N N) N) #s(literal 24 binary64)) #s(literal 1/12 binary64)))) (neg.f64 (.f64 (.f64 (.f64 (.f64 N N) N) #s(literal 24 binary64)) (.f64 N N))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/24 binary64) N) (.f64 (.f64 (.f64 N N) N) (/.f64 #s(literal 1/12 binary64) N)))) (neg.f64 (.f64 (.f64 (*.f64 N N) N) N)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 (neg.f64 N) N)) (.f64 (.f64 (.f64 N N) N) #s(literal -1/12 binary64)))) (neg.f64 (.f64 (.f64 (.f64 N N) N) (*.f64 (neg.f64 N) N))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) #s(literal 12 binary64))) (.f64 (.f64 N N) N))) (neg.f64 (.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) #s(literal 12 binary64)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal 1/12 binary64)) N)) (neg.f64 N))
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N N))) (neg.f64 (/.f64 #s(literal 1/12 binary64) N))) (neg.f64 N))
(/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal 1/12 binary64)) (*.f64 N N))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 N N) #s(literal 1/24 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (.f64 N N) N))) (.f64 (.f64 N N) N)) (.f64 N N))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 N N) N) N)))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) (*.f64 N N))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 N N) N) N)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (/.f64 #s(literal 1/24 binary64) (.f64 (*.f64 N N) N)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal 1/1728 binary64) (.f64 (.f64 N N) N))) (.f64 (.f64 N N) N))) (neg.f64 (+.f64 (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (-.f64 (/.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 N N) N) N)) (.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N)))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal 1/1728 binary64) (.f64 (.f64 N N) N))) (.f64 (.f64 N N) N))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N))) (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 N N) #s(literal 1/24 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (.f64 N N) N)))) (neg.f64 (.f64 (.f64 (.f64 (*.f64 N N) N) N) N)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N N)) N) (.f64 N (/.f64 #s(literal 1/12 binary64) N))) (.f64 N N))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N N)) (.f64 (neg.f64 N) N)) (.f64 N #s(literal -1/12 binary64))) (.f64 (.f64 (neg.f64 N) N) N))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N N)) (.f64 (.f64 N N) #s(literal 12 binary64))) N) (.f64 N (.f64 (*.f64 N N) #s(literal 12 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N N)) (.f64 N N)) (.f64 N #s(literal 1/12 binary64))) (.f64 (.f64 N N) N))
(/.f64 (-.f64 (.f64 #s(literal -1/24 binary64) N) (.f64 (.f64 (.f64 (neg.f64 N) N) N) (/.f64 #s(literal 1/12 binary64) N))) (.f64 (.f64 (*.f64 (neg.f64 N) N) N) N))
(/.f64 (-.f64 (.f64 #s(literal -1/24 binary64) (.f64 (neg.f64 N) N)) (.f64 (.f64 (.f64 (neg.f64 N) N) N) #s(literal -1/12 binary64))) (.f64 (.f64 (.f64 (neg.f64 N) N) N) (*.f64 (neg.f64 N) N)))
(/.f64 (-.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 N N) #s(literal 12 binary64))) (.f64 (.f64 (.f64 (neg.f64 N) N) N) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (neg.f64 N) N) N) (.f64 (*.f64 N N) #s(literal 12 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1/24 binary64) (.f64 N N)) (.f64 (.f64 (.f64 (neg.f64 N) N) N) #s(literal 1/12 binary64))) (.f64 (.f64 (.f64 (neg.f64 N) N) N) (*.f64 N N)))
(/.f64 (-.f64 N (.f64 (.f64 (.f64 (.f64 N N) N) #s(literal 24 binary64)) (/.f64 #s(literal 1/12 binary64) N))) (.f64 (.f64 (.f64 (.f64 N N) N) #s(literal 24 binary64)) N))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 N) N)) (.f64 (.f64 (.f64 (.f64 N N) N) #s(literal 24 binary64)) #s(literal -1/12 binary64))) (.f64 (.f64 (.f64 (.f64 N N) N) #s(literal 24 binary64)) (*.f64 (neg.f64 N) N)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 N N) #s(literal 12 binary64))) (.f64 (.f64 (.f64 (.f64 N N) N) #s(literal 24 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 N N) N) #s(literal 24 binary64)) (.f64 (*.f64 N N) #s(literal 12 binary64))))
(/.f64 (-.f64 (.f64 N N) (.f64 (.f64 (.f64 (.f64 N N) N) #s(literal 24 binary64)) #s(literal 1/12 binary64))) (.f64 (.f64 (.f64 (.f64 N N) N) #s(literal 24 binary64)) (.f64 N N)))
(/.f64 (-.f64 (.f64 #s(literal 1/24 binary64) N) (.f64 (.f64 (.f64 N N) N) (/.f64 #s(literal 1/12 binary64) N))) (.f64 (.f64 (*.f64 N N) N) N))
(/.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 (neg.f64 N) N)) (.f64 (.f64 (.f64 N N) N) #s(literal -1/12 binary64))) (.f64 (.f64 (.f64 N N) N) (*.f64 (neg.f64 N) N)))
(/.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) #s(literal 12 binary64))) (.f64 (.f64 N N) N)) (.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) #s(literal 12 binary64))))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal 1/12 binary64)) N) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 N N) N) N))) (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal -1/12 binary64)) (*.f64 N N)))
(/.f64 (-.f64 (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 N N) N) N))) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (/.f64 #s(literal 1/24 binary64) (.f64 (*.f64 N N) N))))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (/.f64 #s(literal 1/1728 binary64) (.f64 (.f64 N N) N))) (.f64 (.f64 N N) N)) (+.f64 (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (-.f64 (/.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 N N) N) N)) (.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N) N) (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N) #s(literal -1/4 binary64)))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N) N) (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N) #s(literal -1/64 binary64))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64))
(fma.f64 N (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) #s(literal -1/4 binary64))
(-.f64 (/.f64 #s(literal 1/16 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N))) (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N) N) (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64))) (-.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N))))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N) N) (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal 1/4 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N) #s(literal -1/4 binary64))
(+.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(pow.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64))))) (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64))))) (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64)))) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 6 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64)))) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 6 binary64))) (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64))))
(/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 6 binary64)) (neg.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64)))))
(/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64)))
(neg.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))))))) (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64)) (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))))
(+.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64) (*.f64 (log.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64) (.f64 (log.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))) (.f64 (log.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)))

eval247.0ms (3%)

Memory: 23.4MiB live, 206.9MiB allocated
Compiler: Compiled 36 278 to 3 804 computations (89.5% saved)

prune292.0ms (3.6%)

Memory

-17.2MiB live, 466.3MiB allocated

Pruning

39 alts after pruning (34 fresh and 5 done)

	Pruned	Kept	Total
New	1 454	20	1 474
Fresh	12	14	26
Picked	2	3	5
Done	1	2	3
Total	1 469	39	1 508

Accuracy

99.7%

Counts

1 508 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
	27.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.9%	(/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
	25.9%	(/.f64 (/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
	25.4%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	26.2%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
	25.3%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
	23.7%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))) (-.f64 (log1p.f64 N) (log.f64 N)))
	26.6%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64))))
	25.9%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N)) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
	25.9%	(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal -2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
	95.4%	(/.f64 #s(approx (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (+.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (.f64 N N))) (fma.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) N) (/.f64 (.f64 (-.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (fma.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal -1/2 binary64) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (.f64 (.f64 N N) N))) (fma.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (+.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 (.f64 N N) N)) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 N N))) (+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 N N) N)) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64))) N))))) N)) (.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))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))
	28.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
	25.7%	(-.f64 (log1p.f64 N) (log.f64 N))
	25.5%	(.f64 (+.f64 (.f64 (neg.f64 (log1p.f64 N)) (log.f64 (fma.f64 N N N))) (*.f64 (log.f64 N) (log.f64 (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
	25.9%	(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
	28.6%	(*.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))))
	25.9%	(neg.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64))) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))))
✓	28.6%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	29.0%	(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N)))
	28.1%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	28.1%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))
	26.6%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64)))
	94.5%	#s(approx (/ (neg (- 0 (pow (log (/ N (+ 1 N))) 2))) (log (/ (+ 1 N) N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) (pow.f64 (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal 1/12 binary64)) (*.f64 N N)) N (+.f64 #s(literal 1/2 binary64) N))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) #s(literal -1 binary64)) N))
	91.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) N) (-.f64 N #s(literal 1/2 binary64))) (*.f64 N N)))
	94.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) N) (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (*.f64 N N)))
	96.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (/.f64 (fma.f64 (.f64 N N) N #s(literal 1/8 binary64)) (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))) N)))))
	96.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (/.f64 (-.f64 (.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))) N)))))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 N N) N #s(literal 1/8 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))) N)))))
	96.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) #s(approx (* (- (/ 1/24 (* (* N N) N)) (/ 1/12 (* N N))) N) (/.f64 (fma.f64 #s(literal -1/12 binary64) N #s(literal 1/24 binary64)) (*.f64 N N)))))))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) #s(approx (* (- (/ 1/24 (* (* N N) N)) (/ 1/12 (* N N))) N) (/.f64 #s(literal -1/12 binary64) N))))))
	96.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (.f64 (fma.f64 (.f64 N N) N #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N)))))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) N))) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N)))))
✓	92.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N))))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N))))))
✓	83.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	92.0%	#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (.f64 (log.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal 1/12 binary64)) (.f64 N N)) N (+.f64 #s(literal 1/2 binary64) N)))) #s(literal -1 binary64))))

Compiler

Compiled 3 203 to 934 computations (70.8% saved)

regimes45.0ms (0.5%)

Memory

-14.5MiB live, 64.6MiB allocated

Counts

81 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) N) (-.f64 N #s(literal 1/2 binary64))) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) #s(approx (* (- (/ 1/24 (* (* N N) N)) (/ 1/12 (* N N))) N) (/.f64 #s(literal -1/12 binary64) N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) N) (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 N N)) N (+.f64 #s(literal 1/2 binary64) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) #s(approx (* (- (/ 1/24 (* (* N N) N)) (/ 1/12 (* N N))) N) (/.f64 (fma.f64 #s(literal -1/12 binary64) N #s(literal 1/24 binary64)) (*.f64 N N)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (/ (neg (- 0 (pow (log (/ N (+ 1 N))) 2))) (log (/ (+ 1 N) N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 N N))) (.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N #s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N))) #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (neg.f64 N) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N (.f64 N N)) (.f64 (*.f64 N N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (/.f64 (-.f64 (.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) N))) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (/.f64 (fma.f64 (.f64 N N) N #s(literal 1/8 binary64)) (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (.f64 (fma.f64 (.f64 N N) N #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (-.f64 N #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 N N) N #s(literal 1/8 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))) N)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #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)) (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 N N)) #s(literal -1 binary64)))) N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) #s(literal -1 binary64))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal 1/12 binary64)) (*.f64 N N)) N (+.f64 #s(literal 1/2 binary64) N))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (.f64 (log.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) N) #s(literal 1/12 binary64)) (.f64 N N)) N (+.f64 #s(literal 1/2 binary64) N)))) #s(literal -1 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (.f64 (log.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))) N)))) #s(literal -1 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (*.f64 (log.f64 (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal -1 binary64)))
(/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) 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 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (log.f64 (fma.f64 N N N))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
(.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 #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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N)) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (log (+ (* N N) N)) (-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))) (-.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 (fma.f64 N N N))))
(.f64 (+.f64 (.f64 (neg.f64 (log1p.f64 N)) (log.f64 (fma.f64 N N N))) (*.f64 (log.f64 N) (log.f64 (fma.f64 N N N)))) (/.f64 #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 #s(literal 1 binary64) N))) #s(literal 2 binary64)))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64))) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal -2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(/.f64 (/.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N)))))
(.f64 #s(approx ( (log (+ (* N N) N)) (log (/ N (+ 1 N)))) (/.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 (.f64 N N) N)) #s(literal -1/2 binary64) (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) #s(literal 2/3 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (/.f64 (log.f64 N) N))) (+.f64 (/.f64 #s(literal 11/12 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1 binary64) N))) N)) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 N N N)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (.f64 (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) (log.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) 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 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.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)) (log1p.f64 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))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.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))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(.f64 (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(approx (/ 1 (neg (log (+ (* N N) N)))) (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 (.f64 N N) N))) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N)) (/.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 N)))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (.f64 N N))))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (neg.f64 (log.f64 N)) (.f64 (.f64 N N) N))) #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (.f64 (.f64 N N) N))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 N N))))))))
(/.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))))))))
(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (log.f64 (fma.f64 N N N))))))
(/.f64 #s(approx (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (+.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (.f64 N N))) (fma.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) N) (/.f64 (.f64 (-.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (fma.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal -1/2 binary64) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (.f64 (.f64 N N) N))) (fma.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (+.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (.f64 (.f64 N N) N)) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 N N))) (+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 N N) N)) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64))) N))))) N)) (.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))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))

Outputs

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

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

Calls

2 calls:

20.0ms	N
18.0ms	(-.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)

regimes18.0ms (0.2%)

Memory

29.8MiB live, 29.8MiB allocated

Counts

36 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms	N
8.0ms	(-.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)

regimes18.0ms (0.2%)

Memory

-11.5MiB live, 27.3MiB allocated

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms	N
8.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes17.0ms (0.2%)

Memory

-10.0MiB live, 28.9MiB allocated

Counts

32 → 1

Calls

Call 1

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

Outputs

#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (+.f64 #s(literal 1/2 binary64) N) #s(approx (* (- (/ 1/24 (* (* N N) N)) (/ 1/12 (* N N))) N) (/.f64 (fma.f64 #s(literal -1/12 binary64) N #s(literal 1/24 binary64)) (*.f64 N 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
96.4%	1	`N`
96.4%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.5%	1	`N`
92.5%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

6.3MiB live, 6.3MiB 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
83.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
83.3%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch1.0ms (0%)

Memory

-38.1MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
1.0ms	0.000729037035645419	0.0027327870157103362

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.000729037035645419	0.0027327870157103362

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.000729037035645419	0.0027327870157103362

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify8.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`*-commutative_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	358
1	75	358
2	80	358
3	83	358
4	84	358

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness933.0ms (11.4%)

Memory

-1.2MiB live, 799.3MiB allocated

Rules

13 760×	`lower-fma.f64`
13 760×	`lower-fma.f32`
11 472×	`lower-fma.f64`
11 472×	`lower-fma.f32`
10 812×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	225
0	84	181
1	356	177
2	2552	176
0	8338	176
0	88	330
1	250	302
2	588	301
3	1591	295
4	4186	287
5	6252	287
6	7306	287
0	8036	278
0	317	2895
1	913	2685
2	2338	2639
3	6834	2638
0	8278	2527
0	6	16
0	10	15
1	42	15
2	269	15
3	2627	15
0	8846	12
0	367	3386
1	1069	3087
2	2971	2955
0	8807	2815

Stop Event

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

Compiler

Compiled 312 to 149 computations (52.2% saved)

preprocess89.0ms (1.1%)

Memory: -0.5MiB live, 156.0MiB allocated
Compiler: Compiled 386 to 134 computations (65.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (16.4%)

explain114.0ms (1.4%)

preprocess17.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify105.0ms (1.3%)

localize37.0ms (0.4%)

series58.0ms (0.7%)

simplify168.0ms (2%)

rewrite225.0ms (2.7%)

eval77.0ms (0.9%)

prune123.0ms (1.5%)

simplify129.0ms (1.6%)

localize366.0ms (4.5%)

series72.0ms (0.9%)

simplify212.0ms (2.6%)

rewrite180.0ms (2.2%)

eval258.0ms (3.1%)

prune390.0ms (4.8%)

simplify261.0ms (3.2%)

localize336.0ms (4.1%)

series71.0ms (0.9%)

simplify296.0ms (3.6%)

rewrite205.0ms (2.5%)

eval219.0ms (2.7%)

prune178.0ms (2.2%)

simplify173.0ms (2.1%)

localize314.0ms (3.8%)

series57.0ms (0.7%)

simplify251.0ms (3.1%)

rewrite274.0ms (3.3%)

eval247.0ms (3%)

prune292.0ms (3.6%)

regimes45.0ms (0.5%)

regimes18.0ms (0.2%)

regimes18.0ms (0.2%)

regimes17.0ms (0.2%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness933.0ms (11.4%)

preprocess89.0ms (1.1%)

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