Metrics for 2log (problem 3.3.6)

analyze0.0ms (0%)

Memory

0.6MiB live, 0.7MiB 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)

sample1.5s (14.4%)

Memory

39.2MiB live, 1 611.9MiB allocated

Samples

1.1s	6 456×	1	valid
100.0ms	1 800×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 944.0ms

ival-log: 455.0ms (48.2% of total)

ival-log1p: 249.0ms (26.4% of total)

adjust: 104.0ms (11% of total)

ival-sub: 69.0ms (7.3% of total)

ival->: 24.0ms (2.5% of total)

ival-<: 20.0ms (2.1% of total)

ival-and: 11.0ms (1.2% of total)

exact: 9.0ms (1% of total)

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

Bogosity

preprocess22.0ms (0.2%)

Memory

-7.2MiB live, 30.5MiB 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))

explain117.0ms (1.1%)

Memory

15.5MiB live, 177.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
252	-	1	(20.46519210535351)	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
0	-	0	-	`N`
0	-	0	-	`(log.f64 N)`
0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	-	0	-	`(log.f64 (+.f64 N #s(literal 1 binary64)))`
0	-	0	-	`#s(literal 1 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`	cancellation	251	1

Confusion

	Predicted +	Predicted -
+	251	1
-	0	4

Precision

1.0

Recall

0.996031746031746

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	251	1	0
-	0	0	4

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	5
1	251

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

53.0ms	390×	1	valid
7.0ms	122×	0	valid

Compiler

Compiled 56 to 28 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-log: 13.0ms (31.2% of total)

ival-log1p: 13.0ms (31.2% of total)

adjust: 8.0ms (19.2% of total)

ival-sub: 4.0ms (9.6% of total)

ival-add: 2.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune7.0ms (0.1%)

Memory

-50.8MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.6%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify9.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (0.4%)

Memory

24.4MiB live, 62.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 N #s(literal 1 binary64))
✓	accuracy	100.0%	(log.f64 N)
✓	accuracy	100.0%	(log.f64 (+.f64 N #s(literal 1 binary64)))
✓	accuracy	24.6%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

26.0ms	195×	1	valid
4.0ms	61×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-log1p: 9.0ms (41.2% of total)

ival-log: 6.0ms (27.5% of total)

adjust: 4.0ms (18.3% of total)

ival-sub: 2.0ms (9.2% of total)

ival-add: 1.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series57.0ms (0.5%)

Memory

-26.4MiB live, 88.5MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt N>
#<alt (* N (+ 1 (* -1/2 N)))>
#<alt (* N (+ 1 (* N (- (* 1/3 N) 1/2))))>
#<alt (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (+ (* -1 (log (/ 1 N))) (/ 1 N))>
#<alt (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))>
#<alt (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (log N)>
#<alt (log N)>
#<alt (log N)>
#<alt (log N)>
#<alt (* -1 (log (/ 1 N)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>

Calls

12 calls:

Time	Variable		Point	Expression
24.0ms	N	@	0	(log N)
17.0ms	N	@	-inf	(log N)
9.0ms	N	@	inf	(log N)
0.0ms	N	@	-inf	(- (log (+ N 1)) (log N))
0.0ms	N	@	0	(log (+ N 1))

simplify359.0ms (3.4%)

Memory

34.3MiB live, 462.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 45

Calls

Call 1

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

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

rewrite297.0ms (2.8%)

Memory

22.9MiB live, 417.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 425

Calls

Call 1

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

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

eval63.0ms (0.6%)

Memory: -1.9MiB live, 113.5MiB allocated
Compiler: Compiled 13 693 to 1 544 computations (88.7% saved)

prune89.0ms (0.9%)

Memory

-20.1MiB live, 155.7MiB 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

99.5%

Counts

471 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.9%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.6%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 3 binary64)))) (fma.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) (-.f64 (*.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.3%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.7%	(/.f64 (fma.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))) (log.f64 N) (.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)))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.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)))))) (log.f64 N)))
	25.7%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)))
	25.9%	(/.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))))))))
	25.8%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))))
	25.8%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 N) #s(literal 9 binary64)) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))))
	24.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	24.5%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
	24.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
▶	24.6%	(/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	27.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
	24.6%	(-.f64 (log1p.f64 N) (log.f64 N))
	24.6%	(-.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
	28.1%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
▶	27.8%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
	28.1%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	27.5%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	92.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	97.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N))
	96.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
▶	84.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 1 568 to 610 computations (61.1% saved)

simplify487.0ms (4.7%)

Memory

27.0MiB live, 530.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
✓	cost-diff	0	(log1p.f64 N)
✓	cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
✓	cost-diff	27456	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
✓	cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
✓	cost-diff	0	(neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))
✓	cost-diff	128	(+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
✓	cost-diff	128	(/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
✓	cost-diff	0	(-.f64 (*.f64 N N) N)
✓	cost-diff	0	(log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))
✓	cost-diff	0	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
✓	cost-diff	704	(/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) N)
✓	cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
✓	cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N))

Rules

17 224×	`lower-fma.f32`
17 216×	`lower-fma.f64`
3 246×	`lower-*.f32`
3 244×	`lower-*.f64`
1 750×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	373
0	77	356
1	130	353
2	251	353
3	509	351
4	955	336
5	2136	336
6	4871	336
0	8229	336

Stop Event

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

Calls

Call 1

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

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

localize287.0ms (2.8%)

Memory

-32.7MiB live, 340.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	accuracy	98.8%	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
✓	accuracy	98.8%	(pow.f64 (log.f64 N) #s(literal 3 binary64))
✓	accuracy	27.8%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
✓	accuracy	99.2%	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	accuracy	98.8%	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
✓	accuracy	98.8%	(pow.f64 (log.f64 N) #s(literal 3 binary64))
✓	accuracy	25.7%	(+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
✓	accuracy	99.8%	(-.f64 (*.f64 N N) N)
✓	accuracy	99.7%	(/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))
✓	accuracy	28.2%	(log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) N)
✓	accuracy	84.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
✓	accuracy	99.8%	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
✓	accuracy	99.8%	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
✓	accuracy	99.5%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
✓	accuracy	97.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N))

Samples

191.0ms	191×	1	valid
26.0ms	65×	0	valid

Compiler

Compiled 420 to 43 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-div: 38.0ms (22.6% of total)

const: 31.0ms (18.4% of total)

ival-log: 22.0ms (13.1% of total)

adjust: 16.0ms (9.5% of total)

ival-add: 14.0ms (8.3% of total)

ival-pow2: 11.0ms (6.5% of total)

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

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

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

ival-sub: 6.0ms (3.6% of total)

ival-mult: 6.0ms (3.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series64.0ms (0.6%)

Memory

12.5MiB live, 94.7MiB allocated

Counts

21 → 252

Calls

Call 1

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

Outputs
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ -1/2 N)>
#<alt (/ (- (* 1/3 (/ 1 N)) 1/2) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ -1/2 N)>
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt N>
#<alt (* N (+ 1 (* -1 N)))>
#<alt (* N (+ 1 (* N (- N 1))))>
#<alt (* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 N))>
#<alt (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))>
#<alt (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))>
#<alt 1>
#<alt (- 1 (/ 1 N))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N)))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* 1/2 N) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))>
#<alt (/ -1 N)>
#<alt (/ (- (* 1/2 (/ 1 N)) 1) N)>
#<alt (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ -1 N)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))>
#<alt (* -1 N)>
#<alt (* N (- N 1))>
#<alt (* N (- N 1))>
#<alt (* N (- N 1))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (- 1 (/ 1 N)))>
#<alt (* (pow N 2) (- 1 (/ 1 N)))>
#<alt (* (pow N 2) (- 1 (/ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (- 1 (/ 1 N)))>
#<alt (* (pow N 2) (- 1 (/ 1 N)))>
#<alt (* (pow N 2) (- 1 (/ 1 N)))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* -1 (* N (- (* 1/2 (/ 1 (log N))) (+ 1/3 (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 2))) (/ 1 (pow (log N) 2))))))) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ (* -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)))) (* -1 (/ (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) N))) N)>
#<alt (/ (+ 1 (+ (* -1 (/ (- (* -1 (/ (+ 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)))) (+ (* -1 (/ (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- (* -1 (/ (+ (* -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)))) (* -1 (/ (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (pow N 2))) (* -1 (/ (- (* -1 (/ (+ (* -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)))) (* -1 (/ (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) N)))) N)>
#<alt (/ (+ 1 (+ (* -1 (/ (- (* -1 (/ (+ 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)))) (+ (* -1 (/ (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- (* -1 (/ (+ (* -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)))) (* -1 (/ (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (pow N 2))) (+ (* -1 (/ (- (* -1 (/ (+ (* -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)))) (* -1 (/ (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) N)) (* -1 (/ (- (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (+ (* -4/3 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 11/12 (* 1/2 (log (/ 1 N))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -1 (/ (- (+ (* -2/3 (log (/ 1 N))) (* -1/3 (log (/ 1 N)))) 1) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -1/4 (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ (* (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))) (- (* -1 (/ (+ (* -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)))) (* -1 (/ (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- (* -1 (/ (+ 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)))) (+ (* -1 (/ (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- (* -1 (/ (+ (* -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)))) (* -1 (/ (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))))) (pow N 3)))))) N)>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))>
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#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))))) (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (* -1 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (/ 1 (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))))) (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (+ (* -1/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (/ 1 (* N (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))))))) (+ (* -1 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (/ 1 (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))))) N)) (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))))) N)) (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))>
#<alt (/ 1/4 (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ -1/3 N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ -1/3 N)>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (/ 1/4 N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (pow (log N) 3)>
#<alt (pow (log N) 3)>
#<alt (pow (log N) 3)>
#<alt (pow (log N) 3)>
#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (* -1 (pow (log (/ 1 N)) 3))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (* -1 N)))>
#<alt (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))>
#<alt (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))>
#<alt (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>

Calls

63 calls:

Time	Variable		Point	Expression
13.0ms	N	@	-inf	(+ (* (pow (log (+ 1 N)) 3) (/ 1 (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))) (neg (/ (pow (log N) 3) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))))
9.0ms	N	@	inf	(+ (* (pow (log (+ 1 N)) 3) (/ 1 (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))) (neg (/ (pow (log N) 3) (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))))
9.0ms	N	@	-inf	(/ (+ (neg (pow (log (+ 1 N)) 3)) (pow (log N) 3)) (neg (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2))))
5.0ms	N	@	inf	(/ (+ (neg (pow (log (+ 1 N)) 3)) (pow (log N) 3)) (neg (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2))))
3.0ms	N	@	-inf	(/ 1 (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2)))

simplify453.0ms (4.3%)

Memory

-19.7MiB live, 648.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 450×	`lower-fma.f64`
7 450×	`lower-fma.f32`
6 358×	`lower-*.f64`
6 358×	`lower-*.f32`
5 270×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1015	14435
1	3477	13144
0	8729	12609

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 250

Calls

Call 1

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

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

rewrite426.0ms (4.1%)

Memory

3.6MiB live, 562.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 554×	`lower-*.f32`
5 552×	`lower-*.f64`
4 018×	`lower-fma.f32`
4 010×	`lower-fma.f64`
3 384×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	230
0	77	168
1	336	159
2	2704	159
0	8621	159

Stop Event

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

Counts

21 → 982

Calls

Call 1

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

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

eval344.0ms (3.3%)

Memory: 49.8MiB live, 341.1MiB allocated
Compiler: Compiled 64 101 to 3 637 computations (94.3% saved)

prune301.0ms (2.9%)

Memory

-41.0MiB live, 300.3MiB allocated

Pruning

41 alts after pruning (39 fresh and 2 done)

	Pruned	Kept	Total
New	1 455	26	1 481
Fresh	5	13	18
Picked	3	2	5
Done	0	0	0
Total	1 463	41	1 504

Accuracy

99.7%

Counts

1 504 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.1%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	26.6%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 3 binary64)))) (fma.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) (-.f64 (*.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.7%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	26.3%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	26.8%	(fma.f64 (log.f64 N) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
▶	26.6%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.7%	(/.f64 (fma.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))) (log.f64 N) (.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)))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.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)))))) (log.f64 N)))
	25.7%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)))
	25.9%	(/.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))))))))
	24.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	24.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	24.5%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
	24.8%	(/.f64 (+.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	24.6%	(/.f64 (+.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))))) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.6%	(/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log.f64 N)))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	96.9%	(/.f64 #s(approx (+ (neg (pow (log (+ 1 N)) 3)) (pow (log N) 3)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (fma.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (log.f64 N) N)) (fma.f64 #s(literal -4/3 binary64) (/.f64 (neg.f64 (log.f64 N)) (.f64 N (.f64 N N))) (fma.f64 (log.f64 N) (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 N)) #s(literal 11/12 binary64)) (.f64 N (.f64 N N))) (fma.f64 (log.f64 N) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) N) (fma.f64 (log.f64 N) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2/3 binary64) #s(literal -1 binary64)) (.f64 N N)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (.f64 N (.f64 N N))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 N (.f64 N N))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 N N)) (fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (+.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))))))))) N)) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	27.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
	24.6%	(-.f64 (log1p.f64 N) (log.f64 N))
	24.6%	(-.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
	28.1%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
	27.9%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (fma.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (fma.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))))
	27.8%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))
✓	27.8%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
	28.1%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	27.5%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	83.5%	#s(approx (- (log (+ N 1)) (log N)) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
▶	97.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
	97.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))) N))
	97.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N))
▶	92.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	96.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N))
	96.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))
	97.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (/ 1/4 N) -1/3) N) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)))) N)) N))
	97.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))) N))
	84.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))))) N))
▶	97.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) N)) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 1 binary64)) #s(literal 1 binary64))))
	97.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
▶	97.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
✓	84.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	97.3%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
	97.0%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))

Compiler

Compiled 2 610 to 1 103 computations (57.7% saved)

simplify301.0ms (2.9%)

Memory

26.4MiB live, 224.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f64 N)
✓	cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	cost-diff	128	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
✓	cost-diff	6720	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
✓	cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) N)) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 1 binary64)) #s(literal 1 binary64))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (.f64 N (.f64 N N))))
✓	cost-diff	320	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) N))
✓	cost-diff	384	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) N)) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) N)
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
✓	cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
✓	cost-diff	320	(-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) N)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
✓	cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))
✓	cost-diff	0	(/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
✓	cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))

Rules

6 920×	`lower-fma.f32`
6 912×	`lower-fma.f64`
3 676×	`lower-*.f32`
3 666×	`lower-*.f64`
2 710×	`lower-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	724
0	96	594
1	167	582
2	331	564
3	877	563
4	3743	563
0	8357	563

Stop Event

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

Calls

Call 1

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

localize321.0ms (3.1%)

Memory

-19.5MiB live, 155.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
✓	accuracy	99.2%	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
✓	accuracy	98.8%	(pow.f64 (log.f64 N) #s(literal 3 binary64))
✓	accuracy	26.9%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
✓	accuracy	99.6%	(.f64 N (.f64 N N))
✓	accuracy	99.5%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
✓	accuracy	99.5%	(/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (.f64 N (.f64 N N)))
✓	accuracy	97.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) N)) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 1 binary64)) #s(literal 1 binary64))))
✓	accuracy	99.8%	(-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)))
✓	accuracy	99.8%	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
✓	accuracy	99.5%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))
✓	accuracy	97.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) N)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
✓	accuracy	92.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	accuracy	99.8%	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
✓	accuracy	99.8%	(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
✓	accuracy	99.5%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
✓	accuracy	97.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))

Samples

164.0ms	186×	1	valid
25.0ms	70×	0	valid

Compiler

Compiled 645 to 52 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-sub: 37.0ms (24.6% of total)

ival-div: 30.0ms (20% of total)

adjust: 17.0ms (11.3% of total)

ival-mult: 17.0ms (11.3% of total)

ival-add: 12.0ms (8% of total)

ival-log: 10.0ms (6.7% of total)

ival-log1p: 8.0ms (5.3% of total)

const: 7.0ms (4.7% of total)

ival-pow2: 4.0ms (2.7% of total)

ival-pow: 4.0ms (2.7% of total)

ival-neg: 3.0ms (2% of total)

exact: 1.0ms (0.7% of total)

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

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

series26.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

28 → 336

Calls

Call 1

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

Outputs
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (* -4 (pow N 4))>
#<alt (* (pow N 4) (- (* -16/3 N) 4))>
#<alt (* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))>
#<alt (* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))>
#<alt (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))>
#<alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (/ -1/2 N)>
#<alt (/ (- N 1/2) N)>
#<alt (/ (- N 1/2) N)>
#<alt (/ (- N 1/2) N)>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/64 (pow N 10))>
#<alt (/ (- (* 1/16 N) 1/64) (pow N 10))>
#<alt (/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 10))>
#<alt (/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 10))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/8 (/ 1 (pow N 3)))) N)>
#<alt (/ (- (+ 1 (/ 1/4 (pow N 4))) (* 1/8 (/ 1 (pow N 3)))) N)>
#<alt (/ (- (+ 1 (/ 1/4 (pow N 4))) (+ (* 1/8 (/ 1 (pow N 3))) (* 17/48 (/ 1 (pow N 5))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (pow N 3))) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/8) (pow N 3))) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 17/48 (/ 1 N)) 1/4) N)) 1/8) (pow N 3))) 1) N))>
#<alt (/ -1/64 (pow N 9))>
#<alt (/ (- (* 1/16 N) 1/64) (pow N 9))>
#<alt (/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 9))>
#<alt (/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 9))>
#<alt 1>
#<alt (- 1 (* 1/8 (/ 1 (pow N 3))))>
#<alt (- (+ 1 (/ 1/4 (pow N 4))) (* 1/8 (/ 1 (pow N 3))))>
#<alt (- (+ 1 (/ 1/4 (pow N 4))) (+ (* 1/8 (/ 1 (pow N 3))) (* 17/48 (/ 1 (pow N 5)))))>
#<alt 1>
#<alt (- 1 (* 1/8 (/ 1 (pow N 3))))>
#<alt (+ 1 (* -1 (/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3))))>
#<alt (+ 1 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 17/48 (/ 1 N))) N))) (pow N 3))))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (pow (log N) 3)>
#<alt (+ (* -1 (pow N 3)) (pow (log N) 3))>
#<alt (+ (* (pow N 3) (- (* 3/2 N) 1)) (pow (log N) 3))>
#<alt (+ (* (pow N 3) (- (* N (+ 3/2 (* -7/4 N))) 1)) (pow (log N) 3))>
#<alt (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3))>
#<alt (+ (* -1 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) N)) (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3)))>
#<alt (+ (* -1 (/ (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2)))) (pow N 2))) (+ (* -1 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) N)) (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3))))>
#<alt (+ (* -1 (/ (+ 1 (+ (* -1 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (+ (* 1/3 (pow (log (/ 1 N)) 2)) (* 2 (log (/ 1 N)))))) (pow N 3))) (+ (* -1 (/ (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2)))) (pow N 2))) (+ (* -1 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) N)) (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3)))))>
#<alt (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))>
#<alt (+ (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N)) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N)) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))>
#<alt (+ (* -1 (/ (+ (* -1 (+ (* -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) N)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))) N)))) N)) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))>
#<alt (+ (* -1 (/ (+ (* -1 (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* -1 (/ (+ (* -1 (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1 (/ (log (/ -1 N)) N)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N)) (+ (/ (log -1) N) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))) N)))))) N))) N)) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* -1 (* N (- (* 1/2 (/ 1 (log N))) (+ 1/3 (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 2))) (/ 1 (pow (log N) 2))))))) 1/2)))))>
#<alt (* -1 (/ (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))>
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#<alt (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))))))>
#<alt (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))))))) (/ 1 (pow N 3)))>
#<alt (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))>
#<alt (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))>
#<alt (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))>

Calls

84 calls:

Time	Variable		Point	Expression
4.0ms	N	@	-inf	(* (+ 1 (/ (* (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) (* (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)))) (* N (* N N)))) (/ 1 N))
4.0ms	N	@	-inf	(/ (+ (* (pow (log (+ 1 N)) 2) (neg (log (+ 1 N)))) (pow (log N) 3)) (neg (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2))))
2.0ms	N	@	inf	(/ (+ (* (pow (log (+ 1 N)) 2) (neg (log (+ 1 N)))) (pow (log N) 3)) (neg (+ (* (log N) (log (+ (* N N) N))) (pow (log (+ 1 N)) 2))))
1.0ms	N	@	-inf	(+ (* (pow (log (+ 1 N)) 2) (neg (log (+ 1 N)))) (pow (log N) 3))
1.0ms	N	@	inf	(+ (* (pow (log (+ 1 N)) 2) (neg (log (+ 1 N)))) (pow (log N) 3))

simplify510.0ms (4.9%)

Memory

-13.6MiB live, 377.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 182×	`lower-fma.f64`
8 182×	`lower-fma.f32`
4 650×	`lower-+.f64`
4 650×	`lower-+.f32`
3 950×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	616	5690
1	1934	4722
2	6884	4690
0	8083	4501

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 333

Calls

Call 1

Inputs
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(* -4 (pow N 4))
(* (pow N 4) (- (* -16/3 N) 4))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
1
(- 1 (* 1/2 (/ 1 N)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/ -1/2 N)
(/ (- N 1/2) N)
(/ (- N 1/2) N)
(/ (- N 1/2) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
1
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
1
(- 1 (* 1/2 (/ 1 N)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/ -1/64 (pow N 10))
(/ (- (* 1/16 N) 1/64) (pow N 10))
(/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 10))
(/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 10))
(/ 1 N)
(/ (- 1 (* 1/8 (/ 1 (pow N 3)))) N)
(/ (- (+ 1 (/ 1/4 (pow N 4))) (* 1/8 (/ 1 (pow N 3)))) N)
(/ (- (+ 1 (/ 1/4 (pow N 4))) (+ (* 1/8 (/ 1 (pow N 3))) (* 17/48 (/ 1 (pow N 5))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/8 (/ 1 (pow N 3))) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/8) (pow N 3))) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 17/48 (/ 1 N)) 1/4) N)) 1/8) (pow N 3))) 1) N))
(/ -1/64 (pow N 9))
(/ (- (* 1/16 N) 1/64) (pow N 9))
(/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 9))
(/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 9))
1
(- 1 (* 1/8 (/ 1 (pow N 3))))
(- (+ 1 (/ 1/4 (pow N 4))) (* 1/8 (/ 1 (pow N 3))))
(- (+ 1 (/ 1/4 (pow N 4))) (+ (* 1/8 (/ 1 (pow N 3))) (* 17/48 (/ 1 (pow N 5)))))
1
(- 1 (* 1/8 (/ 1 (pow N 3))))
(+ 1 (* -1 (/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3))))
(+ 1 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 17/48 (/ 1 N))) 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 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(pow (log N) 3)
(+ (* -1 (pow N 3)) (pow (log N) 3))
(+ (* (pow N 3) (- (* 3/2 N) 1)) (pow (log N) 3))
(+ (* (pow N 3) (- (* N (+ 3/2 (* -7/4 N))) 1)) (pow (log N) 3))
(+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3))
(+ (* -1 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) N)) (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3)))
(+ (* -1 (/ (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2)))) (pow N 2))) (+ (* -1 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) N)) (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3))))
(+ (* -1 (/ (+ 1 (+ (* -1 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (+ (* 1/3 (pow (log (/ 1 N)) 2)) (* 2 (log (/ 1 N)))))) (pow N 3))) (+ (* -1 (/ (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2)))) (pow N 2))) (+ (* -1 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) N)) (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3)))))
(+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))
(+ (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N)) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N)) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))
(+ (* -1 (/ (+ (* -1 (+ (* -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) N)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))) N)))) N)) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))
(+ (* -1 (/ (+ (* -1 (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* -1 (/ (+ (* -1 (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1 (/ (log (/ -1 N)) N)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) N)) (+ (/ (log -1) N) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))) N)))))) N))) N)) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* -1 (* N (- (* 1/2 (/ 1 (log N))) (+ 1/3 (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 2))) (/ 1 (pow (log N) 2))))))) 1/2)))))
(* -1 (/ (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))
(+ (* -1 (/ (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ 1 N) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3))) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))))
(+ (* -1 (/ (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -1 (/ (- (* -1 (/ (+ (* -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)))) (+ (* -1 (/ (* (+ 1 (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (/ (* (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))) (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (pow N 2))) (+ (/ 1 N) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3))) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))))))
(+ (* -1 (/ (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -1 (/ (- (* -1 (/ (+ 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)))) (+ (* -1 (/ (* (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))) (+ 1 (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- (* -1 (/ (+ (* -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)))) (+ (* -1 (/ (* (+ 1 (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (/ (* (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))) (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (/ (* (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3)) (- (+ (* -2/3 (log (/ 1 N))) (* -1/3 (log (/ 1 N)))) 1)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))))) (pow N 3))) (+ (* -1 (/ (- (* -1 (/ (+ (* -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)))) (+ (* -1 (/ (* (+ 1 (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (/ (* (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))) (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (pow N 2))) (+ (/ 1 N) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -1 (pow (log (/ 1 N)) 3)) (pow (log (/ 1 N)) 3))) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))))))
(* -1 (/ (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
(- (+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* -1 (/ (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (* N (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))))
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(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
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(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
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N
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(+ (log -1) (* -1 (log (/ -1 N))))
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(/ 1/4 (pow N 2))
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(/ 1/4 N)
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(/ -1/4 (pow N 3))
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(/ (- (+ (* 1/4 (/ 1 N)) (* 31/108 (/ 1 (pow N 3)))) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 3))
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Outputs
(/ -1/4 (pow N 4))
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(/ (- (* 1/3 N) 1/4) (pow N 4))
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(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 N (*.f64 N N)) N))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 N (*.f64 N N)) N))
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(/ 1/4 (pow N 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N))
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (neg.f64 N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (neg.f64 N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (neg.f64 N))
(/ 1/4 N)
(/.f64 #s(literal 1/4 binary64) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) N)
-1/3
#s(literal -1/3 binary64)
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) (neg.f64 N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))
(/ 1/4 (pow N 3))
(/.f64 #s(literal 1/4 binary64) (.f64 N (.f64 N N)))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N)))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N)))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N)))
(/ -1/3 (pow N 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 N N))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))
(/ -1/3 (pow N 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 N N))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))
(/ -1/64 (pow N 9))
(/.f64 #s(literal -1/64 binary64) (pow.f64 N #s(literal 9 binary64)))
(/ (- (* 1/16 N) 1/64) (pow N 9))
(/.f64 (fma.f64 N #s(literal 1/16 binary64) #s(literal -1/64 binary64)) (pow.f64 N #s(literal 9 binary64)))
(/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 9))
(/.f64 (fma.f64 N (fma.f64 N #s(literal -17/96 binary64) #s(literal 1/16 binary64)) #s(literal -1/64 binary64)) (pow.f64 N #s(literal 9 binary64)))
(/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 9))
(/.f64 (fma.f64 N (fma.f64 N (fma.f64 N #s(literal 31/108 binary64) #s(literal -17/96 binary64)) #s(literal 1/16 binary64)) #s(literal -1/64 binary64)) (pow.f64 N #s(literal 9 binary64)))
(/ -1/8 (pow N 3))
(/.f64 #s(literal -1/8 binary64) (.f64 N (.f64 N N)))
(/ (- (* 1/4 (/ 1 N)) 1/8) (pow N 3))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/8 binary64)) (.f64 N (.f64 N N)))
(/ (- (* 1/4 (/ 1 N)) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 3))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -17/48 binary64) N)) N) #s(literal -1/8 binary64)) (.f64 N (.f64 N N)))
(/ (- (+ (* 1/4 (/ 1 N)) (* 31/108 (/ 1 (pow N 3)))) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 3))
(/.f64 (+.f64 (/.f64 #s(literal 31/108 binary64) (.f64 N (.f64 N N))) (+.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -17/48 binary64) N)) N) #s(literal -1/8 binary64))) (.f64 N (.f64 N N)))
(/ -1/8 (pow N 3))
(/.f64 #s(literal -1/8 binary64) (.f64 N (.f64 N N)))
(* -1 (/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/4 binary64) N)) (neg.f64 (.f64 N (.f64 N N))))
(* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 17/48 (/ 1 N))) N))) (pow N 3)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -17/48 binary64) N)) N)) (neg.f64 (.f64 N (.f64 N N))))
(* -1 (/ (+ 1/8 (* -1 (/ (+ 1/4 (* -1 (/ (- 17/48 (* 31/108 (/ 1 N))) N))) N))) (pow N 3)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 17/48 binary64) (/.f64 #s(literal -31/108 binary64) N)) N)) N)) (neg.f64 (.f64 N (.f64 N N))))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow N 3)
(.f64 N (.f64 N N))
(pow (log N) 3)
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(pow (log N) 3)
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(pow (log N) 3)
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(pow (log N) 3)
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 N)) 3))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 N)) 3))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 N)) 3))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 N)) 3))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(+ (* N (log N)) (pow (log N) 2))
(*.f64 (log.f64 N) (+.f64 (log.f64 N) N))
(+ (* N (+ (log N) (* N (+ 1 (* -1/2 (log N)))))) (pow (log N) 2))
(fma.f64 (log.f64 N) (+.f64 (log.f64 N) N) (.f64 (.f64 N N) (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64))))
(+ (* N (+ (log N) (* N (+ 1 (+ (* -1/2 (log N)) (* N (- (* 1/3 (log N)) 1))))))) (pow (log N) 2))
(fma.f64 (log.f64 N) (+.f64 (log.f64 N) N) (.f64 (.f64 N N) (fma.f64 N (fma.f64 #s(literal 1/3 binary64) (log.f64 N) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64)))))
(+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))
(*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))
(fma.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (*.f64 (log.f64 N) #s(literal 3 binary64)) N))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))))))
(+.f64 (+.f64 (/.f64 (.f64 (log.f64 N) #s(literal 3 binary64)) N) (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 N)) (.f64 N N))) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 (log.f64 N) (.f64 N N))) (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))))))) (/ 1 (pow N 3)))
(+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N (.f64 N N))) #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 N)) (.f64 N N))) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 (log.f64 N) (.f64 N N))) (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (.f64 (log.f64 N) #s(literal 3 binary64)) N)) (/.f64 #s(literal -1 binary64) (.f64 N (.f64 N N))))
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))))
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3 binary64)) (neg.f64 N)))
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(-.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (/.f64 (-.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3 binary64)) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3/2 binary64) #s(literal 1 binary64)) N)) N))
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(-.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (/.f64 (-.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3 binary64)) (/.f64 (-.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N)) N)) N))

rewrite576.0ms (5.5%)

Memory

27.6MiB live, 781.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 436×	`lower-/.f32`
4 408×	`lower-/.f64`
3 776×	`lower-*.f32`
3 766×	`lower-*.f64`
3 318×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	514
0	96	326
1	435	314
2	3846	314
0	9122	314

Stop Event

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

Counts

28 → 1 191

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(+.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N)))
(+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N)))
(+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) N)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) (/.f64 #s(literal 1 binary64) N))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) N))
(-.f64 (/.f64 #s(literal -1/2 binary64) (.f64 N N)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) N))
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(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 N (.f64 N N))) (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) N) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 N N)))) N) (/.f64 (/.f64 (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)))) (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) N) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))) N))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))) 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 N N)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))) N))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal -1/2 binary64) N) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)))) N) (/.f64 (/.f64 (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64))) (+.f64 (/.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))
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(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #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 (.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) (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal -1 binary64)) #s(literal 1 binary64)) N)) (/.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #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 (.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) (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal -1 binary64)) #s(literal 1 binary64)) N)))
(-.f64 (/.f64 #s(literal 0 binary64) (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)) 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 (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 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))) (.f64 N (*.f64 N N))) #s(literal 1 binary64)) 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)) N) (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 N (.f64 N N))) (.f64 N (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) N) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 N N))))) (/.f64 (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)))) (.f64 N (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) N) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (.f64 N N)) #s(literal -1 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) (/.f64 (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))) (.f64 N N)) (.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
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(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))))
(.f64 (pow.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)) (-.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)) (pow.f64 (/.f64 (*.f64 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 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 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 binary64)) (pow.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)) (-.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)))
(exp.f64 (*.f64 (log.f64 N) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))))
(/.f64 (.f64 N (.f64 N N)) #s(literal 1 binary64))
(/.f64 (.f64 N (.f64 N (neg.f64 N))) #s(literal -1 binary64))
(pow.f64 N #s(literal 3 binary64))
(pow.f64 (*.f64 N N) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 N (*.f64 N N)))
(.f64 N (.f64 N N))
(.f64 (.f64 N N) N)
(.f64 (.f64 N (*.f64 N N)) #s(literal 1 binary64))
(*.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 N)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (log.f64 N)) #s(literal 3/2 binary64) (*.f64 (log.f64 (log.f64 N)) #s(literal 3/2 binary64))))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log.f64 N)))
(*.f64 (log.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 N))
(*.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))
(+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (fma.f64 N N N))))
(+.f64 (*.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 N N N)) (neg.f64 (log.f64 N)))) (neg.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (-.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (-.f64 (*.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))))) (/.f64 (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (fma.f64 N N N))))))
(fma.f64 (log1p.f64 N) (log1p.f64 N) (*.f64 (log.f64 N) (log.f64 (fma.f64 N N N))))
(fma.f64 (neg.f64 (log1p.f64 N)) (neg.f64 (log1p.f64 N)) (*.f64 (log.f64 N) (log.f64 (fma.f64 N N N))))
(fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (fma.f64 N N N)))) (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (fma.f64 N N N)))) (pow.f64 (*.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (fma.f64 N N N)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (-.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (fma.f64 N N N)))) (pow.f64 (*.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (fma.f64 N N N)))))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (fma.f64 N N N)))) (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (log.f64 N) (log.f64 (fma.f64 N N N)))) (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))

eval348.0ms (3.3%)

Memory: 16.5MiB live, 961.4MiB allocated
Compiler: Compiled 111 637 to 6 118 computations (94.5% saved)

prune245.0ms (2.3%)

Memory

-14.5MiB live, 758.6MiB allocated

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	2 210	11	2 221
Fresh	12	22	34
Picked	3	2	5
Done	0	2	2
Total	2 225	37	2 262

Accuracy

99.7%

Counts

2 262 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.1%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.7%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	26.3%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
✓	26.6%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.7%	(/.f64 (fma.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))) (log.f64 N) (.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)))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.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)))))) (log.f64 N)))
	25.7%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)))
	25.9%	(/.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))))))))
▶	24.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	24.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	24.5%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
	24.8%	(/.f64 (+.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	24.6%	(/.f64 (+.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))))) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.6%	(/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log.f64 N)))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	27.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
	24.6%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	24.6%	(-.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
	28.1%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
	27.9%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (fma.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (fma.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))))
	27.8%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))
✓	27.8%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
	28.1%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	27.5%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	92.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) (/.f64 #s(literal 1/2 binary64) (.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
	97.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 #s(approx (/ (+ (/ 1/4 N) -1/3) (* N N)) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N)))) #s(literal 1 binary64))) N))
	96.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N))
✓	92.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	92.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))
	97.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))) N))
	97.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
▶	97.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))))))
	93.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
	96.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N (*.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N))))))
▶	97.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N)))))))
	97.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) (neg.f64 N)))))
✓	84.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	97.1%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 N (*.f64 N N)) N))))
	97.0%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))

Compiler

Compiled 1 964 to 851 computations (56.7% saved)

simplify270.0ms (2.6%)

Memory

-6.0MiB live, 341.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f64 N)
✓	cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
✓	cost-diff	0	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
✓	cost-diff	0	(fma.f64 N N #s(literal -1 binary64))
✓	cost-diff	0	(log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N))
✓	cost-diff	0	(-.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
✓	cost-diff	192	(/.f64 (fma.f64 N N #s(literal -1 binary64)) N)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))))
✓	cost-diff	0	(/.f64 N (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))))
✓	cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))))))
✓	cost-diff	0	(*.f64 N N)
✓	cost-diff	0	(+.f64 N #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
✓	cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))
✓	cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N)))))))
✓	cost-diff	128	(+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N))
✓	cost-diff	192	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N)
✓	cost-diff	1344	(.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N)))

Rules

8 148×	`lower-fma.f32`
8 140×	`lower-fma.f64`
2 594×	`lower--.f32`
2 588×	`lower--.f64`
2 474×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	549
0	104	513
1	179	513
2	307	509
3	501	499
4	924	489
5	2151	489
6	4475	486
7	7907	486
0	8210	481

Stop Event

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

Calls

Call 1

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

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

localize317.0ms (3%)

Memory

35.7MiB live, 549.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(pow.f64 (log.f64 N) #s(literal 2 binary64))
✓	accuracy	98.6%	(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
✓	accuracy	98.5%	(pow.f64 (log.f64 N) #s(literal 4 binary64))
✓	accuracy	26.0%	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
✓	accuracy	100.0%	(log.f64 (+.f64 N #s(literal -1 binary64)))
✓	accuracy	100.0%	(log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N))
✓	accuracy	99.8%	(/.f64 (fma.f64 N N #s(literal -1 binary64)) N)
✓	accuracy	24.5%	(-.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
✓	accuracy	99.7%	(fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64))
✓	accuracy	99.6%	(.f64 N (.f64 N N))
✓	accuracy	99.5%	(/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))
✓	accuracy	97.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))))))
✓	accuracy	100.0%	(+.f64 N #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 N N)
✓	accuracy	99.6%	(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
✓	accuracy	92.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N)))
✓	accuracy	99.4%	(/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N)))
✓	accuracy	99.4%	(/.f64 #s(literal 1/12 binary64) N)
✓	accuracy	97.5%	#s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N)))))
✓	accuracy	97.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N)))))))

Samples

196.0ms	196×	1	valid
28.0ms	60×	0	valid

Compiler

Compiled 406 to 58 computations (85.7% saved)

Precisions

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

ival-div: 36.0ms (19.2% of total)

adjust: 31.0ms (16.6% of total)

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

ival-log: 22.0ms (11.8% of total)

const: 21.0ms (11.2% of total)

ival-sub: 16.0ms (8.6% of total)

ival-mult: 12.0ms (6.4% of total)

ival-log1p: 9.0ms (4.8% of total)

ival-pow2: 8.0ms (4.3% of total)

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

exact: 1.0ms (0.5% of total)

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

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

series29.0ms (0.3%)

Memory

-2.4MiB live, 35.3MiB allocated

Counts

29 → 348

Calls

Call 1

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

Outputs
#<alt (/ 1/24 (pow N 2))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 N)))>
#<alt (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N)))>
#<alt (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N)))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 N)))>
#<alt (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N)))>
#<alt (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N)))>
#<alt (/ -1/12 (pow N 2))>
#<alt (/ (- (* 1/2 N) 1/12) (pow N 2))>
#<alt (/ (- (* 1/2 N) 1/12) (pow N 2))>
#<alt (/ (- (* 1/2 N) 1/12) (pow N 2))>
#<alt (/ 1/2 N)>
#<alt (/ (- 1/2 (* 1/12 (/ 1 N))) N)>
#<alt (/ (- 1/2 (* 1/12 (/ 1 N))) N)>
#<alt (/ (- 1/2 (* 1/12 (/ 1 N))) N)>
#<alt (/ 1/2 N)>
#<alt (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))>
#<alt (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))>
#<alt (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))>
#<alt (/ 1/24 (pow N 3))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 3))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 3))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 3))>
#<alt (/ 1/2 N)>
#<alt (/ (- 1/2 (* 1/12 (/ 1 N))) N)>
#<alt (/ (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N))) N)>
#<alt (/ (- (+ 1/2 (/ 1/24 (pow N 2))) (* 1/12 (/ 1 N))) N)>
#<alt (/ 1/2 N)>
#<alt (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt -1/2>
#<alt (- N 1/2)>
#<alt (- N 1/2)>
#<alt (- N 1/2)>
#<alt N>
#<alt (* N (- 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- 1 (* 1/2 (/ 1 N))))>
#<alt N>
#<alt (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))>
#<alt (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))>
#<alt (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (* -4 (pow N 4))>
#<alt (* (pow N 4) (- (* -16/3 N) 4))>
#<alt (* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))>
#<alt (* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))>
#<alt (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))>
#<alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))>
#<alt (/ -1 N)>
#<alt (/ (- (pow N 2) 1) N)>
#<alt (/ (- (pow N 2) 1) N)>
#<alt (/ (- (pow N 2) 1) N)>
#<alt N>
#<alt (* N (- 1 (/ 1 (pow N 2))))>
#<alt (* N (- 1 (/ 1 (pow N 2))))>
#<alt (* N (- 1 (/ 1 (pow N 2))))>
#<alt N>
#<alt (* -1 (* N (- (/ 1 (pow N 2)) 1)))>
#<alt (* -1 (* N (- (/ 1 (pow N 2)) 1)))>
#<alt (* -1 (* N (- (/ 1 (pow N 2)) 1)))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (+ (log -1) (* -1 (log N)))>
#<alt (+ (log -1) (+ (* -1 (log N)) (* -1 (pow N 2))))>
#<alt (+ (log -1) (+ (* -1 (log N)) (* (pow N 2) (- (* -1/2 (pow N 2)) 1))))>
#<alt (+ (log -1) (+ (* -1 (log N)) (* (pow N 2) (- (* (pow N 2) (- (* -1/3 (pow N 2)) 1/2)) 1))))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (- (* -1 (log (/ 1 N))) (/ 1 (pow N 2)))>
#<alt (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow N 2)))) (pow N 2))))>
#<alt (- (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow N 2)))) (pow N 4)))) (/ 1 (pow N 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 N)))) (/ 1 (pow N 2)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow N 2)))) (pow N 2)))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow N 2)))) (pow N 4))))) (/ 1 (pow N 2)))>
#<alt -1>
#<alt (- (pow N 2) 1)>
#<alt (- (pow N 2) 1)>
#<alt (- (pow N 2) 1)>
#<alt (pow N 2)>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ (log N) (* -1/2 (pow (log N) 2))) (pow (log N) 2))) (/ 1 (log N))))))))>
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#<alt (* -1/2 (pow N 2))>
#<alt (* (pow N 2) (- (* 1/3 (/ 1 N)) 1/2))>
#<alt (* (pow N 2) (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))))>
#<alt (* (pow N 2) (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))))>
#<alt (* -1/2 (pow N 2))>
#<alt (* (pow N 2) (- (* 1/3 (/ 1 N)) 1/2))>
#<alt (* (pow N 2) (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2))>
#<alt (* (pow N 2) (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2))>
#<alt (log -1)>
#<alt (+ (log -1) (* -1 N))>
#<alt (+ (log -1) (* N (- (* -1/2 N) 1)))>
#<alt (+ (log -1) (* N (- (* N (- (* -1/3 N) 1/2)) 1)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (- (* -1 (log (/ 1 N))) (/ 1 N))>
#<alt (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N)))>
#<alt (- (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 N))) (pow N 2)))) (/ 1 N))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 N)))) (/ 1 N))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))>
#<alt (pow (log N) 4)>
#<alt (pow (log N) 4)>
#<alt (pow (log N) 4)>
#<alt (pow (log N) 4)>
#<alt (pow (log (/ 1 N)) 4)>
#<alt (pow (log (/ 1 N)) 4)>
#<alt (pow (log (/ 1 N)) 4)>
#<alt (pow (log (/ 1 N)) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)>
#<alt (pow (log N) 2)>
#<alt (pow (log N) 2)>
#<alt (pow (log N) 2)>
#<alt (pow (log N) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>

Calls

87 calls:

Time	Variable		Point	Expression
4.0ms	N	@	-inf	(/ (- (pow (log (+ 1 N)) 4) (pow (log N) 4)) (* (log (+ (* N N) N)) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))
4.0ms	N	@	0	(* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N)))
3.0ms	N	@	inf	(/ (- (pow (log (+ 1 N)) 4) (pow (log N) 4)) (* (log (+ (* N N) N)) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))
1.0ms	N	@	0	(/ (- (pow (log (+ 1 N)) 4) (pow (log N) 4)) (* (log (+ (* N N) N)) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))
1.0ms	N	@	-inf	(* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N)))

simplify357.0ms (3.4%)

Memory

-19.1MiB live, 422.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 974×	`lower-fma.f64`
8 974×	`lower-fma.f32`
4 820×	`lower-+.f64`
4 820×	`lower-+.f32`
4 736×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	617	6020
1	1876	5387
2	6404	5252
0	8240	5046

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 339

Calls

Call 1

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

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

rewrite330.0ms (3.2%)

Memory

25.2MiB live, 489.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 646×	`lower-*.f32`
3 638×	`lower-*.f64`
3 188×	`lower-/.f32`
3 168×	`lower-/.f64`
2 944×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	389
0	104	334
1	506	330
2	4136	324
0	8208	318

Stop Event

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

Counts

29 → 775

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64)))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64)) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
(fma.f64 N (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64)))
(fma.f64 N (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))))
(fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) N (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))))
(fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N) N (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))))
(fma.f64 (.f64 N #s(literal 1/24 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64)))
(fma.f64 (.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))) (/.f64 #s(literal 1 binary64) N) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
(/.f64 (fma.f64 (.f64 N (.f64 N N)) (/.f64 #s(literal 1/13824 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)))) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64))) (.f64 (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64)))) (-.f64 (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64))))
(/.f64 (.f64 N (fma.f64 (.f64 N (.f64 N N)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (.f64 N #s(literal 1/24 binary64)))) (.f64 N (.f64 N (*.f64 N N))))
(/.f64 (.f64 N (+.f64 (/.f64 #s(literal 1/13824 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)))) (.f64 N (.f64 N N))))) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (/.f64 #s(literal 1/24 binary64) (.f64 N N))) N) (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (*.f64 N N))))))
(/.f64 (.f64 N (-.f64 (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))) (.f64 N N)))) (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N N)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))) N))
(/.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (.f64 N #s(literal 1/24 binary64))) N) (.f64 N (.f64 N (*.f64 N N))))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/13824 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)))) (.f64 N (.f64 N N)))) N) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (/.f64 #s(literal 1/24 binary64) (.f64 N N))) N) (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (*.f64 N N))))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/576 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))) (.f64 N N))) N) (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N N)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))) N))
(.f64 N (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) (.f64 N N))))
(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) (.f64 N N))) N)
(exp.f64 (*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) N) (neg.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N))))
(-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/12 binary64) (*.f64 N N)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N) (neg.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (neg.f64 N)))
(neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)))))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (neg.f64 N))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/1728 binary64) (.f64 N (.f64 N N)))) (*.f64 N (fma.f64 (/.f64 #s(literal 1/12 binary64) N) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/144 binary64) (.f64 N N))) (.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N))))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64)) N)
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) N) (.f64 N (/.f64 #s(literal 1/12 binary64) N))) (*.f64 N N))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/1728 binary64) (.f64 N (.f64 N N)))) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) N) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) #s(literal 1/4 binary64)) N))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/144 binary64) (.f64 N N))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N))
(/.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/12 binary64) N))) (neg.f64 (neg.f64 N)))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal 1/1728 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/2 binary64) N) (fma.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/2 binary64) N)) (.f64 (/.f64 #s(literal 1/12 binary64) (.f64 N N)) (/.f64 #s(literal 1/12 binary64) (.f64 N N)))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/1728 binary64) (.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) N)) (fma.f64 (/.f64 #s(literal 1/12 binary64) N) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/144 binary64) (.f64 N N))) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (neg.f64 N))
(pow.f64 (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) (/.f64 #s(literal 1 binary64) N))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (/.f64 #s(literal 1 binary64) (neg.f64 N)))
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)))
(*.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 N (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/1728 binary64) (.f64 N (*.f64 N N))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/12 binary64) N) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (/.f64 N (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/144 binary64) (.f64 N N)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N))))
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(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))))
(-.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) (*.f64 N N)))
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 N (.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))
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(fma.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 N (.f64 N N)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))
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(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))
(fma.f64 (/.f64 #s(literal 1/24 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))
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(+.f64 (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) #s(literal -1/2 binary64))) (*.f64 N #s(literal 1/3 binary64)))
(-.f64 (/.f64 (.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (*.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64))))) (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal 1/4 binary64))))
(fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64))
(fma.f64 N (*.f64 N #s(literal -1/2 binary64)) (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 N N) (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)))
(fma.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) N #s(literal -1/4 binary64))
(fma.f64 (*.f64 N #s(literal -1/2 binary64)) N (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 N N) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64))) #s(literal 1/16 binary64)) (.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)))) (fma.f64 (.f64 N (.f64 N N)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1/64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (fma.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1/16 binary64))))
(/.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1/64 binary64)) (-.f64 (fma.f64 (.f64 N N) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64))) #s(literal 1/16 binary64)) (.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1/64 binary64)) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64))))) (.f64 N (*.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64))))))
(/.f64 (fma.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1/16 binary64)) (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1/64 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 N N) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64))) #s(literal 1/16 binary64)) (.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1/16 binary64))) (neg.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))))) (-.f64 #s(literal -1/4 binary64) (.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 N N) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64))) #s(literal 1/16 binary64)) (.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)))) (fma.f64 (.f64 N (.f64 N N)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1/64 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (fma.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1/16 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 N N) (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64))) #s(literal 1/16 binary64)) (.f64 N (*.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64))))))
(.f64 (fma.f64 N (.f64 (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (*.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal 1/4 binary64))))
(log.f64 (+.f64 N #s(literal -1 binary64)))
(+.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))))
(+.f64 (log.f64 (fma.f64 N (*.f64 N N) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log1p.f64 N))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 N N (+.f64 N #s(literal 1 binary64))) (fma.f64 N (*.f64 N N) #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))
(-.f64 (log.f64 (fma.f64 N (*.f64 N N) #s(literal -1 binary64))) (log.f64 (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))
(-.f64 (log.f64 (fma.f64 N (.f64 N N) #s(literal -1 binary64))) (log1p.f64 (-.f64 (.f64 N N) (neg.f64 N))))
(-.f64 (log1p.f64 (*.f64 N (neg.f64 N))) (log.f64 (neg.f64 (+.f64 N #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 N (neg.f64 N))) (log.f64 (-.f64 #s(literal -1 binary64) N)))
(-.f64 (log.f64 (neg.f64 (fma.f64 N (*.f64 N N) #s(literal -1 binary64)))) (log.f64 (neg.f64 (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
(-.f64 (log.f64 (-.f64 (.f64 N (.f64 N N)) #s(literal 1 binary64))) (log.f64 (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 N N (+.f64 N #s(literal 1 binary64))) (fma.f64 N (*.f64 N N) #s(literal -1 binary64)))))
(neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (log.f64 N))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 N))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (log.f64 N)) (*.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64) (log.f64 (log.f64 N))))
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (log.f64 N)))
(*.f64 (log.f64 N) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (log.f64 N))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 N)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (log.f64 N)) #s(literal 4 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 N))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 N))) #s(literal 1 binary64)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 N)))
(*.f64 (log.f64 N) (log.f64 N))
(*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))

eval199.0ms (1.9%)

Memory: 26.1MiB live, 291.3MiB allocated
Compiler: Compiled 33 304 to 3 480 computations (89.6% saved)

prune229.0ms (2.2%)

Memory

-36.4MiB live, 348.1MiB allocated

Pruning

39 alts after pruning (34 fresh and 5 done)

	Pruned	Kept	Total
New	1 210	13	1 223
Fresh	7	21	28
Picked	4	1	5
Done	0	4	4
Total	1 221	39	1 260

Accuracy

99.8%

Counts

1 260 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.1%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.2%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))
	25.7%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	26.3%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
✓	26.6%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.7%	(/.f64 (fma.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))) (log.f64 N) (.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)))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.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)))))) (log.f64 N)))
	25.7%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)))
	25.9%	(/.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))))))))
	25.5%	(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	24.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 12 binary64)) (pow.f64 (log.f64 N) #s(literal 12 binary64))) (.f64 (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 8 binary64)) (pow.f64 (log.f64 N) #s(literal 8 binary64))) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 4 binary64)))))
✓	24.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	24.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	24.5%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
	24.8%	(/.f64 (+.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	24.6%	(/.f64 (+.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))))) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.6%	(/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log.f64 N)))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	27.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
	24.6%	(-.f64 (log1p.f64 N) (log.f64 N))
	24.5%	(-.f64 (log.f64 #s(approx (/ (+ (* N N) -1) N) (+.f64 N (/.f64 #s(literal -1 binary64) N)))) (log.f64 (+.f64 N #s(literal -1 binary64))))
	24.6%	(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (log.f64 (fma.f64 N N N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))
	28.1%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
	27.9%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (fma.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (fma.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))))
	27.8%	(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))
✓	27.8%	(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
	28.1%	(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
	27.2%	(log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (*.f64 (+.f64 N #s(literal -1 binary64)) N)))
	27.5%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	96.0%	#s(approx (- (log (/ (+ (* N N) -1) N)) (log (+ N -1))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
	92.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (.f64 (.f64 N N) (+.f64 N #s(literal 1/2 binary64)))))
✓	92.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	93.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N)))) #s(literal -1 binary64))))))
	97.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N)))))
	97.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) (/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))))
	96.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)))))))
	93.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) #s(literal 1/2 binary64))))))
	97.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) (neg.f64 N)))))
✓	84.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	97.1%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 N (*.f64 N N)) N))))
	97.0%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))

Compiler

Compiled 3 231 to 875 computations (72.9% saved)

regimes43.0ms (0.4%)

Memory

-20.9MiB live, 100.3MiB allocated

Counts

74 → 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 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.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 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (.f64 (.f64 N N) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N))
#s(approx (- (log (/ (+ (* N N) -1) N)) (log (+ N -1))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 N (*.f64 N N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) (/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N (*.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (/ 1/4 N) -1/3) N) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)))) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 #s(approx (/ (+ (/ 1/4 N) -1/3) (* N N)) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N)))) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) (/.f64 #s(literal 1/2 binary64) (.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (*.f64 (+.f64 N #s(literal -1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))
(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log.f64 #s(approx (/ (+ (* N N) -1) N) (+.f64 N (/.f64 #s(literal -1 binary64) N)))) (log.f64 (+.f64 N #s(literal -1 binary64))))
(-.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) N)) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N)))) #s(literal -1 binary64))))))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (log.f64 (fma.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 N N N))) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (log.f64 (fma.f64 N N N)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(neg.f64 (-.f64 (log.f64 (-.f64 (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))))))) (log.f64 (fma.f64 (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (fma.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (fma.f64 N N #s(literal -1 binary64))) (.f64 (*.f64 N (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (/.f64 N (fma.f64 N N #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (.f64 (log.f64 (fma.f64 N N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))))) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log.f64 N)))) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 N) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)))
(fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(fma.f64 (log.f64 N) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.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 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 12 binary64)) (pow.f64 (log.f64 N) #s(literal 12 binary64))) (.f64 (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 8 binary64)) (pow.f64 (log.f64 N) #s(literal 8 binary64))) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 4 binary64)))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (log.f64 (fma.f64 N N N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (fma.f64 N N N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (fma.f64 N N N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))
(/.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))))))))
(/.f64 (fma.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))) (log.f64 N) (.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)))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.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)))))) (log.f64 N)))
(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) #s(literal 3 binary64)))) (fma.f64 (.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) (-.f64 (*.f64 (log.f64 N) (log.f64 (fma.f64 N N N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(/.f64 (+.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 (/.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 #s(approx (+ (neg (pow (log (+ 1 N)) 3)) (pow (log N) 3)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (fma.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (log.f64 N) N)) (fma.f64 #s(literal -4/3 binary64) (/.f64 (neg.f64 (log.f64 N)) (.f64 N (.f64 N N))) (fma.f64 (log.f64 N) (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 N)) #s(literal 11/12 binary64)) (.f64 N (.f64 N N))) (fma.f64 (log.f64 N) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) N) (fma.f64 (log.f64 N) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2/3 binary64) #s(literal -1 binary64)) (.f64 N N)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (.f64 N (.f64 N N))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 N (.f64 N N))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 N N)) (fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (+.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))))))))) N)) (neg.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 N) #s(literal 9 binary64)) (pow.f64 (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))))

Outputs

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

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

Calls

2 calls:

21.0ms	N
17.0ms	(-.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)

regimes19.0ms (0.2%)

Memory

33.9MiB live, 33.9MiB 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 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.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 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (.f64 (.f64 N N) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N))
#s(approx (- (log (/ (+ (* N N) -1) N)) (log (+ N -1))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 N (*.f64 N N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) (/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N (*.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (/ 1/4 N) -1/3) N) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)))) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 #s(approx (/ (+ (/ 1/4 N) -1/3) (* N N)) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N)))) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) (/.f64 #s(literal 1/2 binary64) (.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (*.f64 (+.f64 N #s(literal -1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))

Outputs

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

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

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)

regimes57.0ms (0.5%)

Memory

-13.3MiB live, 25.9MiB 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 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.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 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (.f64 (.f64 N N) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N))
#s(approx (- (log (/ (+ (* N N) -1) N)) (log (+ N -1))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 N (*.f64 N N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) (/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N (*.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (/ 1/4 N) -1/3) N) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)))) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 #s(approx (/ (+ (/ 1/4 N) -1/3) (* N N)) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N)))) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) (/.f64 #s(literal 1/2 binary64) (.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))

Outputs

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes40.0ms (0.4%)

Memory

-20.3MiB live, 18.2MiB 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 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.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 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (.f64 (.f64 N N) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N))
#s(approx (- (log (/ (+ (* N N) -1) N)) (log (+ N -1))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 N (*.f64 N N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) (/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N (*.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (/ 1/4 N) -1/3) N) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)))) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 #s(approx (/ (+ (/ 1/4 N) -1/3) (* N N)) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (.f64 N (.f64 N N)))) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N (.f64 N (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 N (*.f64 N N))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 N (*.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 N N)) (/.f64 #s(literal 1/2 binary64) (.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))

Outputs

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

Calls

2 calls:

32.0ms	N
7.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
97.8%	1	`N`
97.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes12.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

20 → 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 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.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 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (.f64 (.f64 N N) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N))
#s(approx (- (log (/ (+ (* N N) -1) N)) (log (+ N -1))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 N (*.f64 N N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) (/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N (*.f64 N (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 (fma.f64 N (fma.f64 N #s(literal -1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (/ 1/4 N) -1/3) N) (/.f64 (fma.f64 N #s(literal -1/3 binary64) #s(literal 1/4 binary64)) (*.f64 N N)))) N)) N))

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.8%	1	`N`
97.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes8.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

13 → 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 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.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 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (.f64 (.f64 N N) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N) (/.f64 #s(literal -1/4 binary64) (.f64 N (.f64 N N))))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (/ 1/4 N) -1/3) #s(literal -1/3 binary64)) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N))
#s(approx (- (log (/ (+ (* N N) -1) N)) (log (+ N -1))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 N (*.f64 N N)) N))))

Outputs

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

Calls

2 calls:

4.0ms	N
3.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
97.1%	1	`N`
97.1%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes10.0ms (0.1%)

Memory

-27.6MiB live, 13.0MiB allocated

Counts

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.5%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
96.5%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Memory

6.5MiB live, 6.5MiB 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
84.0%	1	`N`
84.0%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0007134656977418885	0.0009522753782187365

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	0.0007134656977418885	0.0009522753782187365

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0009522753782187365	0.0019533242952629593

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify12.0ms (0.1%)

Memory

-17.0MiB live, 20.9MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative_binary64`
12×	`*-commutative_binary64`
12×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	428
1	113	428
2	123	428
3	129	428
4	131	428

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/9223372036854775808 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N))))) (neg.f64 (log.f64 (/.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/9223372036854775808 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N))))) (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N))))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) (/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 N (*.f64 N N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) #s(literal 1/2 binary64))))))
#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 7378697629483821/9223372036854775808 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N))))) (neg.f64 (log.f64 (/.f64 (-.f64 (.f64 N N) N) (fma.f64 N N #s(literal -1 binary64))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/9223372036854775808 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N))))) (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N))))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1 binary64) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) (/.f64 (fma.f64 N (fma.f64 N #s(literal 1/2 binary64) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (*.f64 N N)))))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 N (*.f64 N N)) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) (- (/ (+ (/ 1/4 N) -1/3) (* N N)) 1)) N) (/.f64 (fma.f64 N (fma.f64 N (+.f64 N #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (.f64 N (.f64 N (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))) (+.f64 N #s(approx (* N (+ (/ 1/24 (* N (* N N))) (/ (- 1/2 (/ 1/12 N)) N))) #s(literal 1/2 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

soundness1.1s (11%)

Memory

24.4MiB live, 939.2MiB allocated

Rules

11 472×	`lower-fma.f64`
11 472×	`lower-fma.f32`
8 974×	`lower-fma.f64`
8 974×	`lower-fma.f32`
8 182×	`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
0	88	348
1	250	302
2	588	301
3	1587	295
4	4201	287
5	6272	287
6	7327	287
0	8056	278
0	617	6020
1	1876	5387
2	6404	5252
0	8240	5046
0	65	389
0	104	334
1	506	330
2	4136	324
0	8208	318
0	44	230
0	77	168
1	336	159
2	2704	159
0	8621	159
0	616	5690
1	1934	4722
2	6884	4690
0	8083	4501

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

Compiler

Compiled 400 to 197 computations (50.8% saved)

preprocess109.0ms (1%)

Memory: -11.0MiB live, 221.6MiB allocated
Compiler: Compiled 482 to 174 computations (63.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

analyze0.0ms (0%)

sample1.5s (14.4%)

preprocess22.0ms (0.2%)

explain117.0ms (1.1%)

eval0.0ms (0%)

prune7.0ms (0.1%)

simplify9.0ms (0.1%)

localize39.0ms (0.4%)

series57.0ms (0.5%)

simplify359.0ms (3.4%)

rewrite297.0ms (2.8%)

eval63.0ms (0.6%)

prune89.0ms (0.9%)

simplify487.0ms (4.7%)

localize287.0ms (2.8%)

series64.0ms (0.6%)

simplify453.0ms (4.3%)

rewrite426.0ms (4.1%)

eval344.0ms (3.3%)

prune301.0ms (2.9%)

simplify301.0ms (2.9%)

localize321.0ms (3.1%)

series26.0ms (0.2%)

simplify510.0ms (4.9%)

rewrite576.0ms (5.5%)

eval348.0ms (3.3%)

prune245.0ms (2.3%)

simplify270.0ms (2.6%)

localize317.0ms (3%)

series29.0ms (0.3%)

simplify357.0ms (3.4%)

rewrite330.0ms (3.2%)

eval199.0ms (1.9%)

prune229.0ms (2.2%)

regimes43.0ms (0.4%)

regimes19.0ms (0.2%)

regimes57.0ms (0.5%)

regimes40.0ms (0.4%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

regimes2.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.1s (11%)

preprocess109.0ms (1%)

end0.0ms (0%)

Profiling

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

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