Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.4s (16.2%)

Memory

49.0MiB live, 1 463.0MiB allocated

Samples

941.0ms	6 520×	1	valid
161.0ms	1 736×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 840.0ms

ival-log1p: 281.0ms (33.5% of total)

ival-log: 249.0ms (29.6% of total)

adjust: 129.0ms (15.4% of total)

ival-sub: 77.0ms (9.2% of total)

ival-<: 48.0ms (5.7% of total)

ival->: 30.0ms (3.6% of total)

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

exact: 11.0ms (1.3% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain307.0ms (3.5%)

Memory

-24.3MiB live, 175.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
247	1	(125.66197067348577)	-	`(-.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	248	2

Confusion

	Predicted +	Predicted -
+	247	0
-	1	8

Precision

0.9959677419354839

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	247	0	0
-	1	2	6

Precision?

0.988

Recall?

1.0

Freqs

test

number	freq
0	8
1	248

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms	378×	1	valid
8.0ms	134×	0	valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-log1p: 16.0ms (34.7% of total)

ival-log: 13.0ms (28.2% of total)

adjust: 8.0ms (17.4% of total)

ival-sub: 6.0ms (13% of total)

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

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

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

exact: 0.0ms (0% of total)

preprocess17.0ms (0.2%)

Memory

25.2MiB live, 25.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.8%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify8.0ms (0.1%)

Memory

-29.7MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize41.0ms (0.5%)

Memory

7.2MiB live, 51.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 N #s(literal 1 binary64))
accuracy	0	(log.f64 N)
accuracy	0.01171875	(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	46.82203113488685	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

31.0ms	189×	1	valid
4.0ms	67×	0	valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-log1p: 7.0ms (34.1% of total)

ival-log: 6.0ms (29.2% of total)

adjust: 4.0ms (19.5% of total)

ival-sub: 2.0ms (9.7% of total)

ival-add: 1.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.6%)

Memory

34.1MiB live, 105.9MiB allocated

Counts

4 → 48

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

Calls

3 calls:

Time	Variable		Point	Expression
26.0ms	N	@	0	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
21.0ms	N	@	-inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
7.0ms	N	@	inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))

simplify153.0ms (1.8%)

Memory

-8.1MiB live, 121.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 45

Calls

Call 1

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

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

rewrite194.0ms (2.2%)

Memory

-18.9MiB live, 175.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 425

Calls

Call 1

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

Outputs
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 N)))
(pow.f64 (log1p.f64 N) #s(literal 1 binary64))
(log1p.f64 N)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))))))
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eval65.0ms (0.7%)

Memory: -7.5MiB live, 109.2MiB allocated
Compiler: Compiled 12 820 to 1 568 computations (87.8% saved)

prune29.0ms (0.3%)

Memory

7.0MiB live, 85.3MiB allocated

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	449	21	470
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	450	21	471

Accuracy

99.5%

Counts

471 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	28.2%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	28.2%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.8%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	27.8%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (log.f64 N) (.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) (log.f64 N)))
	28.1%	(/.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)))
	26.9%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))))
	26.8%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))) (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	26.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
	26.9%	(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)))
▶	26.8%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))))
	26.7%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
	26.9%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	26.9%	(.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
▶	30.8%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
	30.1%	(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
	30.2%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
▶	96.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
	92.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	82.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 1 562 to 582 computations (62.7% saved)

simplify200.0ms (2.3%)

Memory

18.2MiB live, 170.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
cost-diff	0	(log1p.f64 N)
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
cost-diff	0	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))))
cost-diff	0	(+.f64 (log.f64 N) (log1p.f64 N))
cost-diff	0	(fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
cost-diff	6080	(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)))
cost-diff	66304	(.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
cost-diff	0	(/.f64 N (+.f64 #s(literal 1 binary64) N))
cost-diff	0	(log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
cost-diff	704	(/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
cost-diff	0	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
cost-diff	0	(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	444
0	84	406
1	141	406
2	299	404
3	849	404
4	3227	404
0	8327	404

Stop Event

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

Calls

Call 1

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

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

localize296.0ms (3.4%)

Memory

-0.5MiB live, 208.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.9059680665696378	(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
accuracy	1.2109747068001864	(pow.f64 (log.f64 N) #s(literal 6 binary64))
accuracy	1.2185835442090334	(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
accuracy	45.49345342121294	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))))
accuracy	0.37109375	(.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
accuracy	0.4140625	(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)))
accuracy	0.5238075683790941	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	46.82203113488685	(-.f64 (log1p.f64 N) (log.f64 N))
accuracy	0	(+.f64 #s(literal 1 binary64) N)
accuracy	0	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
accuracy	0.015625	(/.f64 N (+.f64 #s(literal 1 binary64) N))
accuracy	44.25055101573705	(log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
accuracy	0	(/.f64 #s(literal 1 binary64) N)
accuracy	11.392823002562743	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy	0.10546875	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
accuracy	0.12109375	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.26953125	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.252688554629576	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))

Samples

231.0ms	182×	1	valid
24.0ms	74×	0	valid

Compiler

Compiled 959 to 96 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

adjust: 42.0ms (21.9% of total)

ival-pow: 35.0ms (18.3% of total)

ival-sub: 28.0ms (14.6% of total)

ival-div: 21.0ms (11% of total)

ival-log: 15.0ms (7.8% of total)

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

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

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

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

const: 6.0ms (3.1% of total)

ival-neg: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series127.0ms (1.5%)

Memory

-17.7MiB live, 95.4MiB allocated

Counts

25 → 300

Calls

Call 1

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

Outputs
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- N 1))))
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- N 1))))
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1 (log N))
(- (* 2 (/ N (pow (log N) 2))) (/ 1 (log N)))
(- (* N (+ (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))))) (* 2 (/ 1 (pow (log N) 2))))) (/ 1 (log N)))
(- (* N (+ (* N (- (* N (- (* 1/3 (/ 1 (pow (log N) 2))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))) (log N))) (+ (* -1 (/ (- (* 1/3 (log N)) 1) (pow (log N) 3))) (* 2 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 4))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))))) (* 2 (/ 1 (pow (log N) 2))))) (/ 1 (log N)))
(pow (log N) 2)
(+ (* N (log N)) (pow (log N) 2))
(+ (* N (+ (log N) (* N (+ 1 (* -1/2 (log N)))))) (pow (log N) 2))
(+ (* N (+ (log N) (* N (+ 1 (+ (* -1/2 (log N)) (* N (- (* 1/3 (log N)) 1))))))) (pow (log N) 2))
(log N)
(+ N (log N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* N (- (+ 1/3 (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 5))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) 1/2)))) (log N))
(pow N 6)
(* (pow N 6) (+ 1 (* -3 N)))
(* (pow N 6) (+ 1 (* N (- (* 23/4 N) 3))))
(* (pow N 6) (+ 1 (* N (- (* N (+ 23/4 (* -9 N))) 3))))
N
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(pow (log N) 5)
(+ (* N (pow (log N) 4)) (pow (log N) 5))
(+ (* N (+ (* N (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3))) (pow (log N) 4))) (pow (log N) 5))
(+ (* N (+ (* N (+ (* -1/2 (pow (log N) 4)) (+ (* N (+ (* -1 (pow (log N) 3)) (+ (* 1/3 (pow (log N) 4)) (pow (log N) 2)))) (pow (log N) 3)))) (pow (log N) 4))) (pow (log N) 5))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(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 N) 6)
(pow (log N) 6)
(pow (log N) 6)
(pow (log N) 6)
(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))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
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Calls

3 calls:

Time	Variable		Point	Expression
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Time

Variable

Point

Expression

52.0ms

-inf

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

38.0ms

inf

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

11.0ms

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

simplify278.0ms (3.2%)

Memory

14.6MiB live, 164.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1081	18807
1	3839	17501
0	8235	16649

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 295

Calls

Call 1

Inputs
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- N 1))))
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- N 1))))
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1 (log N))
(- (* 2 (/ N (pow (log N) 2))) (/ 1 (log N)))
(- (* N (+ (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))))) (* 2 (/ 1 (pow (log N) 2))))) (/ 1 (log N)))
(- (* N (+ (* N (- (* N (- (* 1/3 (/ 1 (pow (log N) 2))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))) (log N))) (+ (* -1 (/ (- (* 1/3 (log N)) 1) (pow (log N) 3))) (* 2 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 4))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))))) (* 2 (/ 1 (pow (log N) 2))))) (/ 1 (log N)))
(pow (log N) 2)
(+ (* N (log N)) (pow (log N) 2))
(+ (* N (+ (log N) (* N (+ 1 (* -1/2 (log N)))))) (pow (log N) 2))
(+ (* N (+ (log N) (* N (+ 1 (+ (* -1/2 (log N)) (* N (- (* 1/3 (log N)) 1))))))) (pow (log N) 2))
(log N)
(+ N (log N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* N (- (+ 1/3 (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 5))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N)))) 1/2)))) (log N))
(pow N 6)
(* (pow N 6) (+ 1 (* -3 N)))
(* (pow N 6) (+ 1 (* N (- (* 23/4 N) 3))))
(* (pow N 6) (+ 1 (* N (- (* N (+ 23/4 (* -9 N))) 3))))
N
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(pow (log N) 5)
(+ (* N (pow (log N) 4)) (pow (log N) 5))
(+ (* N (+ (* N (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3))) (pow (log N) 4))) (pow (log N) 5))
(+ (* N (+ (* N (+ (* -1/2 (pow (log N) 4)) (+ (* N (+ (* -1 (pow (log N) 3)) (+ (* 1/3 (pow (log N) 4)) (pow (log N) 2)))) (pow (log N) 3)))) (pow (log N) 4))) (pow (log N) 5))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(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 N) 6)
(pow (log N) 6)
(pow (log N) 6)
(pow (log N) 6)
(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))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
1
(- 1 (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ -1 N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
1
(- 1 (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))
(/ (+ (* -1 (/ (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) N)) (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) N)
(/ (- (+ (* 1/3 (/ 1 (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -2 (/ (log (/ 1 N)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (log (/ 1 N)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 1/2 (/ (log (/ 1 N)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (/ 1/2 (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ 1 (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (/ (log (/ 1 N)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))))))))) N)
(/ (- (+ (* 1/3 (/ 1 (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (/ 1 (* (pow N 3) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -2 (/ (log (/ 1 N)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (log (/ 1 N)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (* (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))) (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -2/3 (/ (log (/ 1 N)) (* (pow N 3) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1/3 (/ (log (/ 1 N)) (* (pow N 3) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* 1/2 (/ (log (/ 1 N)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (/ 1/4 (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ 1/2 (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ 1 (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (/ (log (/ 1 N)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- (* 1/3 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -1 (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* 1/2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (/ 1 (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))))))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))))))))))) N)
(+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))
(+ (* -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)))))))
(- (+ (* -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)))
(* -2 (log (/ 1 N)))
(+ (* -2 (log (/ 1 N))) (/ 1 N))
(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(/ (* (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (* N (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4))))
(/ (- (+ (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (* N (* (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4)))))) (+ (* 1/8 (/ (* (pow (log (/ 1 N)) 3) (pow (+ (* -2 (* (log (/ 1 N)) (+ (* -4 (pow (log (/ 1 N)) 3)) (* -2 (pow (log (/ 1 N)) 3))))) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4))) 2)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4)) 3)))) (/ (* (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4))))) (* -1/2 (/ (* (+ (* -2 (* (log (/ 1 N)) (+ (* -4 (pow (log (/ 1 N)) 3)) (* -2 (pow (log (/ 1 N)) 3))))) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4))) (- (/ (* (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4))) (* 1/4 (/ (* (pow (log (/ 1 N)) 4) (+ (* -2 (* (log (/ 1 N)) (+ (* -4 (pow (log (/ 1 N)) 3)) (* -2 (pow (log (/ 1 N)) 3))))) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4)))) (pow (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4)) 2))))) (* N (* (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 4)) (pow (log (/ 1 N)) 4))))))) N)
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(+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2)) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))))))) N)) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2))) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
(* (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)))
(+ (* -1 (/ (+ (* -1 (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (* (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)) (* (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))))
(+ (* -1 (/ (+ (* -1 (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (+ (* -1 (/ (+ (* -1 (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) (+ (* -1/2 (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (* (+ (* -2 (log (/ -1 N))) (* 2 (log -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)) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))))) N)) (* (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N)) (* (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))))
(+ (* -1 (/ (+ (* -1 (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (+ (* -1 (/ (+ (* -1 (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) (+ (* -1 (/ (+ (* -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)) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (* -1/2 (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))) (+ (* -1/3 (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 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))) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) N)) (+ (* -1/2 (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))) (* (+ (* -2 (log (/ -1 N))) (* 2 (log -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)) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))))) N)) (* (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N)) (* (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))))
(/ -1/3 N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(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))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(+ (* 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))

Outputs
(* -1 (log N))
(neg.f64 (log.f64 N))
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(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
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(/ -1/4 (pow N 4))
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(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
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(log N)
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(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/2 binary64)) N #s(literal -1 binary64)) N (log.f64 N))
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(* N (+ 1 (* -1 N)))
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(* -1 (log N))
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(pow (log N) 2)
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(+ (* N (log N)) (pow (log N) 2))
(fma.f64 (log.f64 N) N (pow.f64 (log.f64 N) #s(literal 2 binary64)))
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(+ (* N (+ (log N) (* N (+ 1 (+ (* -1/2 (log N)) (* N (- (* 1/3 (log N)) 1))))))) (pow (log N) 2))
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(log N)
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(+.f64 (log.f64 N) N)
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(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (log.f64 N))
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(pow N 6)
(pow.f64 N #s(literal 6 binary64))
(* (pow N 6) (+ 1 (* -3 N)))
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rewrite381.0ms (4.4%)

Memory

-5.2MiB live, 263.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	293
0	84	209
1	385	198
2	3182	198
0	8387	198

Stop Event

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

Counts

25 → 1 366

Calls

Call 1

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

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

eval432.0ms (5%)

Memory: 32.8MiB live, 765.4MiB allocated
Compiler: Compiled 146 962 to 7 440 computations (94.9% saved)

prune106.0ms (1.2%)

Memory

-31.6MiB live, 286.5MiB allocated

Pruning

43 alts after pruning (42 fresh and 1 done)

	Pruned	Kept	Total
New	2 421	31	2 452
Fresh	5	11	16
Picked	4	1	5
Done	0	0	0
Total	2 430	43	2 473

Accuracy

99.7%

Counts

2 473 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.9%	(fma.f64 (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal -1 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N)))))
	28.2%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal -1 binary64))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N)))))
	28.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	28.2%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	28.5%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N)))))
	28.2%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.8%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	27.8%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (log.f64 N) (.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) (log.f64 N)))
	26.9%	(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 18 binary64)) (pow.f64 (log.f64 N) #s(literal 18 binary64))) (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 12 binary64)) (fma.f64 (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 12 binary64)) (/.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64))))))
	26.9%	(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 18 binary64)) (pow.f64 (log.f64 N) #s(literal 18 binary64))) (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 12 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))) #s(literal -2 binary64)) (.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))))))))
	26.9%	(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 12 binary64)) (pow.f64 (log.f64 N) #s(literal 12 binary64))) (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)))) (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N)))))
	26.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
	26.9%	(/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (log1p.f64 N) (log.f64 N)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))))
	25.0%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (-.f64 (log.f64 N) (log1p.f64 N)))
	26.9%	(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)))
	26.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 12 binary64)) (fma.f64 (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 12 binary64)) (/.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64))))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 18 binary64)) (pow.f64 (log.f64 N) #s(literal 18 binary64))) (pow.f64 (.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 3 binary64)))))
	26.8%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))))
	26.7%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))))
	27.4%	(-.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 6 binary64))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))))
	26.9%	(-.f64 (log1p.f64 N) (log.f64 N))
	24.8%	(.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N)))) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
	28.7%	(.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (log1p.f64 N) (.f64 (pow.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (log.f64 N)))))
	24.7%	(.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N)))) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
	24.4%	(.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) #s(approx (pow (log (+ 1 N)) 2) (-.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) N) #s(literal -2 binary64) (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal -2/3 binary64) (+.f64 (fma.f64 (/.f64 (log.f64 N) N) (/.f64 #s(literal -1 binary64) N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 N N))))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) #s(literal -1 binary64))))
▶	26.9%	(.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
	25.7%	(.f64 (/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))) (exp.f64 (log.f64 (-.f64 (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
	30.1%	(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
	30.8%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
	95.0%	(neg.f64 #s(approx (log (/ (/ N (+ 1 N)) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N)))
▶	30.2%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	96.4%	#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 #s(literal -1 binary64) N) #s(literal 1 binary64)) N))
	96.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) (-.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 2 binary64)) #s(literal 1 binary64)))) N))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	96.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (.f64 N #s(literal -1 binary64))) (*.f64 N N)))
▶	92.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
	96.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) N))
▶	96.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))
✓	82.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (/.f64 #s(literal -1 binary64) N)))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))

Compiler

Compiled 3 797 to 1 621 computations (57.3% saved)

simplify172.0ms (2%)

Memory

-9.0MiB live, 204.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))
cost-diff	0	(.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N)))
cost-diff	320	(fma.f64 (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal -1 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N)))))
cost-diff	5376	(pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal -1 binary64))
cost-diff	0	(+.f64 (log.f64 N) (log1p.f64 N))
cost-diff	0	(fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
cost-diff	0	(.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
cost-diff	6080	(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) N)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) N) N)
cost-diff	0	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
cost-diff	0	#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
cost-diff	0	(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
cost-diff	0	(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
cost-diff	0	(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))
cost-diff	0	(/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	541
0	105	537
1	167	537
2	335	527
3	945	527
4	3134	527
5	7228	527
0	8131	527

Stop Event

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

Calls

Call 1

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

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

localize295.0ms (3.4%)

Memory

35.2MiB live, 507.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.9059680665696378	(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
accuracy	1.2109747068001864	(pow.f64 (log.f64 N) #s(literal 6 binary64))
accuracy	1.2185835442090334	(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
accuracy	44.60827291038015	(fma.f64 (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal -1 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N)))))
accuracy	0.37109375	(.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
accuracy	0.4140625	(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)))
accuracy	0.5238075683790941	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	46.82203113488685	(-.f64 (log1p.f64 N) (log.f64 N))
accuracy	0	(+.f64 #s(literal 1 binary64) N)
accuracy	0.015625	(/.f64 (+.f64 #s(literal 1 binary64) N) N)
accuracy	44.722999957134554	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
accuracy	0.01171875	(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
accuracy	0.08203125	(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)
accuracy	2.252688554629576	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
accuracy	11.561140398134222	#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
accuracy	0.10546875	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
accuracy	0.12109375	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.26953125	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.252688554629576	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))

Samples

207.0ms	182×	1	valid
29.0ms	74×	0	valid

Compiler

Compiled 1 125 to 119 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-pow: 25.0ms (15.5% of total)

ival-div: 24.0ms (14.9% of total)

adjust: 21.0ms (13% of total)

ival-log: 21.0ms (13% of total)

ival-mult: 19.0ms (11.8% of total)

ival-add: 15.0ms (9.3% of total)

ival-pow2: 10.0ms (6.2% of total)

ival-log1p: 9.0ms (5.6% of total)

const: 8.0ms (5% of total)

ival-sub: 8.0ms (5% of total)

ival-neg: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series71.0ms (0.8%)

Memory

-11.7MiB live, 116.9MiB allocated

Counts

27 → 324

Calls

Call 1

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

Outputs
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(* -4 (pow N 4))
(* (pow N 4) (- (* -16/3 N) 4))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(* -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 N) N)
(/ (+ 1 N) N)
(/ (+ 1 N) N)
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
(/ -1 (log N))
(- (* 2 (/ N (pow (log N) 2))) (/ 1 (log N)))
(- (* N (+ (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))))) (* 2 (/ 1 (pow (log N) 2))))) (/ 1 (log N)))
(- (* N (+ (* N (- (* N (- (* 1/3 (/ 1 (pow (log N) 2))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))) (log N))) (+ (* -1 (/ (- (* 1/3 (log N)) 1) (pow (log N) 3))) (* 2 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 4))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))))) (* 2 (/ 1 (pow (log N) 2))))) (/ 1 (log N)))
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(pow (log N) 2)
(+ (* N (log N)) (pow (log N) 2))
(+ (* N (+ (log N) (* N (+ 1 (* -1/2 (log N)))))) (pow (log N) 2))
(+ (* N (+ (log N) (* N (+ 1 (+ (* -1/2 (log N)) (* N (- (* 1/3 (log N)) 1))))))) (pow (log N) 2))
(log N)
(+ N (log N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1 (pow (log N) 5))
(+ (* -1 (/ N (pow (log N) 6))) (/ 1 (pow (log N) 5)))
(+ (* N (- (* 1/2 (/ N (pow (log N) 6))) (/ 1 (pow (log N) 6)))) (/ 1 (pow (log N) 5)))
(+ (* N (- (* N (+ (* N (- (/ 1 (pow (log N) 7)) (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 11))) (+ (* 1/3 (/ 1 (pow (log N) 6))) (+ (* 1/2 (/ 1 (pow (log N) 7))) (/ 1 (pow (log N) 8))))))) (* 1/2 (/ 1 (pow (log N) 6))))) (/ 1 (pow (log N) 6)))) (/ 1 (pow (log N) 5)))
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* -1 (* N (- (/ 1 (log N)) (+ 1/3 (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 5))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2)))))))) 1/2)))))
(pow (log N) 5)
(+ (* N (pow (log N) 4)) (pow (log N) 5))
(+ (* N (+ (* N (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3))) (pow (log N) 4))) (pow (log N) 5))
(+ (* N (+ (* N (+ (* -1/2 (pow (log N) 4)) (+ (* N (+ (* -1 (pow (log N) 3)) (+ (* 1/3 (pow (log N) 4)) (pow (log N) 2)))) (pow (log N) 3)))) (pow (log N) 4))) (pow (log N) 5))
(pow (log N) 4)
(+ (* (pow N 2) (pow (log N) 2)) (pow (log N) 4))
(+ (* (pow N 2) (+ (* -1 (* N (pow (log N) 2))) (pow (log N) 2))) (pow (log N) 4))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))))))) N)) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2))) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(+ (* 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))

Calls

3 calls:

Time

Variable

Point

Expression

30.0ms

-inf

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

17.0ms

inf

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

12.0ms

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

simplify221.0ms (2.5%)

Memory

-11.1MiB live, 217.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1216	16512
1	4181	15245
0	8634	14540

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 320

Calls

Call 1

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

Outputs
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(* -4 (pow N 4))
(*.f64 #s(literal -4 binary64) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (- (* -16/3 N) 4))
(*.f64 (fma.f64 #s(literal -16/3 binary64) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(*.f64 (fma.f64 (fma.f64 #s(literal 8/9 binary64) N #s(literal -16/3 binary64)) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -112/27 binary64) N #s(literal 8/9 binary64)) N #s(literal -16/3 binary64)) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (log N))
(neg.f64 (log.f64 N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (+ 1 N) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(/ (+ 1 N) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(/ (+ 1 N) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(/ -1 (log N))
(/.f64 #s(literal -1 binary64) (log.f64 N))
(- (* 2 (/ N (pow (log N) 2))) (/ 1 (log N)))
(fma.f64 (/.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N)))
(- (* N (+ (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))))) (* 2 (/ 1 (pow (log N) 2))))) (/ 1 (log N)))
(fma.f64 (fma.f64 (neg.f64 N) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N (/.f64 #s(literal -1 binary64) (log.f64 N)))
(- (* N (+ (* N (- (* N (- (* 1/3 (/ 1 (pow (log N) 2))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))) (log N))) (+ (* -1 (/ (- (* 1/3 (log N)) 1) (pow (log N) 3))) (* 2 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 4))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))))) (* 2 (/ 1 (pow (log N) 2))))) (/ 1 (log N)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 N) #s(literal -1 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (log.f64 N)))) N (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))) N (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N (/.f64 #s(literal -1 binary64) (log.f64 N)))
(* -1 (log N))
(neg.f64 (log.f64 N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(+ (* N (log N)) (pow (log N) 2))
(fma.f64 (log.f64 N) N (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(+ (* N (+ (log N) (* N (+ 1 (* -1/2 (log N)))))) (pow (log N) 2))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64)) N (log.f64 N)) N (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(+ (* N (+ (log N) (* N (+ 1 (+ (* -1/2 (log N)) (* N (- (* 1/3 (log N)) 1))))))) (pow (log N) 2))
(fma.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 N) #s(literal -1 binary64)) N (*.f64 #s(literal -1/2 binary64) (log.f64 N))) #s(literal 1 binary64)) N (log.f64 N)) N (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(log N)
(log.f64 N)
(+ N (log N))
(+.f64 (log.f64 N) N)
(+ (log N) (* N (+ 1 (* -1/2 N))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (log.f64 N))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (log.f64 N))
(/ 1 (pow (log N) 5))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 5 binary64)))
(+ (* -1 (/ N (pow (log N) 6))) (/ 1 (pow (log N) 5)))
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 5 binary64))) (/.f64 N (pow.f64 (log.f64 N) #s(literal 6 binary64))))
(+ (* N (- (* 1/2 (/ N (pow (log N) 6))) (/ 1 (pow (log N) 6)))) (/ 1 (pow (log N) 5)))
(fma.f64 (fma.f64 (/.f64 N (pow.f64 (log.f64 N) #s(literal 6 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 6 binary64)))) N (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 5 binary64))))
(+ (* N (- (* N (+ (* N (- (/ 1 (pow (log N) 7)) (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 11))) (+ (* 1/3 (/ 1 (pow (log N) 6))) (+ (* 1/2 (/ 1 (pow (log N) 7))) (/ 1 (pow (log N) 8))))))) (* 1/2 (/ 1 (pow (log N) 6))))) (/ 1 (pow (log N) 6)))) (/ 1 (pow (log N) 5)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 7 binary64))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 8 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 7 binary64)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 6 binary64)))) (/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 11 binary64))))) N (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 6 binary64)))) N (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 N) #s(literal 6 binary64)))) N (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 5 binary64))))
(* -1 (log N))
(neg.f64 (log.f64 N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* -1 (* N (- (/ 1 (log N)) (+ 1/3 (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 5))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2)))))))) 1/2)))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 N) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1/3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 N)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 5 binary64))))) #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(pow (log N) 5)
(pow.f64 (log.f64 N) #s(literal 5 binary64))
(+ (* N (pow (log N) 4)) (pow (log N) 5))
(fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) N (pow.f64 (log.f64 N) #s(literal 5 binary64)))
(+ (* N (+ (* N (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3))) (pow (log N) 4))) (pow (log N) 5))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) N (pow.f64 (log.f64 N) #s(literal 4 binary64))) N (pow.f64 (log.f64 N) #s(literal 5 binary64)))
(+ (* N (+ (* N (+ (* -1/2 (pow (log N) 4)) (+ (* N (+ (* -1 (pow (log N) 3)) (+ (* 1/3 (pow (log N) 4)) (pow (log N) 2)))) (pow (log N) 3)))) (pow (log N) 4))) (pow (log N) 5))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal -1/2 binary64) (fma.f64 (-.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) N (pow.f64 (log.f64 N) #s(literal 3 binary64)))) N (pow.f64 (log.f64 N) #s(literal 4 binary64))) N (pow.f64 (log.f64 N) #s(literal 5 binary64)))
(pow (log N) 4)
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(+ (* (pow N 2) (pow (log N) 2)) (pow (log N) 4))
(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 N N) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
(+ (* (pow N 2) (+ (* -1 (* N (pow (log N) 2))) (pow (log N) 2))) (pow (log N) 4))
(fma.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 N N) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
(+ (* (pow N 2) (+ (* N (+ (* -1 (pow (log N) 2)) (* N (+ 1 (* 11/12 (pow (log N) 2)))))) (pow (log N) 2))) (pow (log N) 4))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 11/12 binary64) #s(literal 1 binary64)) N (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 N N) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
(/ 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 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))
(/ 1/4 N)
(/.f64 #s(literal 1/4 binary64) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)
(/ -1/4 (pow N 3))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))))))) N)) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2))) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64)) (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64)) (.f64 (+.f64 (-.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))))) N)) (neg.f64 N))) N))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(+ (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
(fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) N) #s(literal 4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)))
(+ (* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 N))) N))
(+ (* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 2 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal -4 binary64))) N)) (neg.f64 N))) N))

rewrite248.0ms (2.8%)

Memory

18.2MiB live, 297.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	400
0	105	367
1	447	338
2	3240	335
0	9246	335

Stop Event

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

Counts

27 → 903

Calls

Call 1

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

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

eval333.0ms (3.8%)

Memory: 12.8MiB live, 247.8MiB allocated
Compiler: Compiled 93 288 to 5 323 computations (94.3% saved)

prune225.0ms (2.6%)

Memory

-28.4MiB live, 134.3MiB allocated

Pruning

46 alts after pruning (43 fresh and 3 done)

	Pruned	Kept	Total
New	1 397	17	1 414
Fresh	11	26	37
Picked	3	2	5
Done	0	1	1
Total	1 411	46	1 457

Accuracy

99.7%

Counts

1 457 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.2%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal -1 binary64))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N)))))
	28.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	28.2%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
▶	28.5%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N)))))
	28.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N)))))
▶	28.2%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.8%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	28.5%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))))) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64))) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)))))))
	27.8%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (log.f64 N) (.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) (log.f64 N)))
	29.0%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 18 binary64))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -3 binary64)) (.f64 (pow.f64 (log1p.f64 N) #s(literal 18 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -3 binary64)))) (fma.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 12 binary64)) (.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))))))
	29.0%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 18 binary64))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -3 binary64)) (.f64 (pow.f64 (log1p.f64 N) #s(literal 18 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -3 binary64)))) (fma.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 12 binary64)) (-.f64 (.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 12 binary64))) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (/.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))))))
	26.9%	(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 12 binary64)) (pow.f64 (log.f64 N) #s(literal 12 binary64))) (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)))) (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N)))))
	26.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
	26.9%	(/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (log1p.f64 N) (log.f64 N)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))))
	25.0%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (-.f64 (log.f64 N) (log1p.f64 N)))
	26.9%	(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)))
	26.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 12 binary64)) (fma.f64 (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 12 binary64)) (/.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64))))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 18 binary64)) (pow.f64 (log.f64 N) #s(literal 18 binary64))) (pow.f64 (.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 3 binary64)))))
	26.8%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))))
	26.7%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))))
	27.4%	(-.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 6 binary64))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))))
	26.9%	(-.f64 (log1p.f64 N) (log.f64 N))
	24.8%	(.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
	28.7%	(.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (log1p.f64 N) (.f64 (pow.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (log.f64 N)))))
	24.7%	(.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N)))) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
	24.4%	(.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) #s(approx (pow (log (+ 1 N)) 2) (-.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) N) #s(literal -2 binary64) (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal -2/3 binary64) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (log.f64 N) N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 N N))))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) #s(literal -1 binary64))))
	30.8%	(.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
	29.0%	(.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 18 binary64))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -3 binary64)) (.f64 (pow.f64 (log1p.f64 N) #s(literal 18 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -3 binary64)))) (pow.f64 (fma.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 12 binary64)) (.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))))) #s(literal -1 binary64)))
	26.9%	(.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
	25.7%	(.f64 (/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))) (exp.f64 (log.f64 (-.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
	30.1%	(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
	30.8%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
	95.0%	(neg.f64 #s(approx (log (/ (/ N (+ 1 N)) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N)))
✓	30.2%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
▶	30.1%	(log.f64 #s(approx (/ (+ 1 N) N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	96.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (.f64 N #s(literal -1 binary64))) (*.f64 N N)))
✓	92.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
	92.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
▶	96.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))))
	95.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) N))))
✓	82.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))
▶	3.3%	#s(approx (+ (* (pow (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))) -1) (pow (log (+ 1 N)) 6)) (/ (neg (pow (log N) 6)) (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))))) #s(literal 0 binary64))

Compiler

Compiled 4 614 to 1 825 computations (60.4% saved)

simplify160.0ms (1.8%)

Memory

10.8MiB live, 85.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(log1p.f64 N)
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
cost-diff	0	(/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))))
cost-diff	13568	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N)))))
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
cost-diff	0	(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
cost-diff	0	(log1p.f64 N)
cost-diff	6720	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
cost-diff	0	(/.f64 #s(literal 1 binary64) N)
cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ 1 N) N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (/ (+ 1 N) N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
cost-diff	0	#s(approx (+ (* (pow (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))) -1) (pow (log (+ 1 N)) 6)) (/ (neg (pow (log N) 6)) (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))))) #s(literal 0 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))))
cost-diff	192	(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))
cost-diff	1152	(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	84	622
0	131	617
1	219	616
2	453	604
3	1204	600
4	3572	584
0	8310	584

Stop Event

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

Calls

Call 1

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

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

localize398.0ms (4.6%)

Memory

21.7MiB live, 214.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.8600505372643117	(pow.f64 (log.f64 N) #s(literal 4 binary64))
accuracy	0.9059680665696378	(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
accuracy	1.2109747068001864	(pow.f64 (log.f64 N) #s(literal 6 binary64))
accuracy	44.60080926607166	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N)))))
accuracy	0.3515625	(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
accuracy	0.5238075683790941	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.6785126953688406	(pow.f64 (log.f64 N) #s(literal 3 binary64))
accuracy	46.14543989694431	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
accuracy	0	(/.f64 #s(literal 1 binary64) N)
accuracy	0	#s(approx (/ (+ 1 N) N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
accuracy	0.00390625	(+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
accuracy	44.722999957134554	(log.f64 #s(approx (/ (+ 1 N) N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
accuracy	61.90656669212234	#s(approx (+ (* (pow (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))) -1) (pow (log (+ 1 N)) 6)) (/ (neg (pow (log N) 6)) (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))))) #s(literal 0 binary64))
accuracy	0.26171875	(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)
accuracy	0.34765625	(/.f64 #s(literal 1/24 binary64) N)
accuracy	2.246362977006363	#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
accuracy	2.252688554629576	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))))

Samples

284.0ms	184×	1	valid
50.0ms	72×	0	valid

Compiler

Compiled 1 290 to 160 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 281.0ms

ival-div: 74.0ms (26.3% of total)

adjust: 57.0ms (20.3% of total)

ival-log: 27.0ms (9.6% of total)

ival-pow: 24.0ms (8.5% of total)

ival-pow2: 21.0ms (7.5% of total)

ival-mult: 19.0ms (6.8% of total)

ival-add: 18.0ms (6.4% of total)

const: 14.0ms (5% of total)

ival-sub: 12.0ms (4.3% of total)

ival-log1p: 9.0ms (3.2% of total)

ival-neg: 5.0ms (1.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series165.0ms (1.9%)

Memory

-10.6MiB live, 79.9MiB allocated

Counts

23 → 276

Calls

Call 1

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

Outputs
(/ 1/24 (pow N 2))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))
(/ -1/24 (pow N 3))
(/ (- (* 1/12 N) 1/24) (pow N 3))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 3))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
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(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* -1 (* N (- (/ 1 (log N)) (+ 1/3 (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 5))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2)))))))) 1/2)))))
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
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(/ 1 N)
(/ (+ 1 N) N)
(/ (+ 1 N) N)
(/ (+ 1 N) N)
(/ 1 N)
(/ (+ 1 N) N)
(/ (+ 1 N) N)
(/ (+ 1 N) N)
(/ 1 N)
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(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* N (- (+ 1/3 (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 2))) (/ 1 (pow (log N) 2)))) (* 1/2 (/ 1 (log N))))) 1/2)))) (log N))
N
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(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 3))) (* 11/12 (/ 1 (pow (log N) 2)))) (+ (* -1 (/ (+ (/ 1 (pow (log N) 2)) (/ 1 (pow (log N) 3))) (log N))) (/ 1 (pow (log N) 4))))) (+ (/ 1 (pow (log N) 2)) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 11/12 (/ 1 (pow (log N) 2))) (* N (- (+ (* -1 (/ (+ (/ 1 (pow (log N) 2)) (/ 1 (pow (log N) 3))) (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 4))) (/ 1 (pow (log N) 5)))) (+ (* -1 (/ (* (+ 1 (* -1/2 (log N))) (+ (/ 1 (pow (log N) 2)) (/ 1 (pow (log N) 3)))) (pow (log N) 2))) (+ (* 5/6 (/ 1 (pow (log N) 2))) (* 5/4 (/ 1 (pow (log N) 3))))))))) (+ (* -1 (/ (+ (/ 1 (pow (log N) 2)) (/ 1 (pow (log N) 3))) (log N))) (/ 1 (pow (log N) 4))))) (+ (/ 1 (pow (log N) 2)) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))
(pow N 2)
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(* -1 (log N))
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(/ (pow N 3) (pow (log N) 4))
(* (pow N 3) (+ (* -3/2 (/ N (pow (log N) 4))) (/ 1 (pow (log N) 4))))
(* (pow N 3) (+ (* N (- (* N (- (* 7/4 (/ 1 (pow (log N) 4))) (/ 1 (pow (log N) 6)))) (* 3/2 (/ 1 (pow (log N) 4))))) (/ 1 (pow (log N) 4))))
(* (pow N 3) (+ (* N (- (* N (- (+ (* 7/4 (/ 1 (pow (log N) 4))) (* N (- (* 5/2 (/ 1 (pow (log N) 6))) (* 15/8 (/ 1 (pow (log N) 4)))))) (/ 1 (pow (log N) 6)))) (* 3/2 (/ 1 (pow (log N) 4))))) (/ 1 (pow (log N) 4))))
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(/ 1/24 N)
(/ 1/24 N)
(/ 1/24 N)
(/ 1/24 N)
(/ -1/24 (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(pow (log N) 3)
(pow (log N) 3)
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(pow (log N) 3)
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(pow (log N) 4)
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N
(* N (+ 1 (* 1/2 (/ 1 N))))
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(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
-1
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(- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))
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(/ 1 N)
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(/ 1 N)
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(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
1
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(/ 1/12 N)
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(pow (+ (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 (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(+ (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
(+ (* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
(+ (* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 2 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 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)

Calls

3 calls:

Time

Variable

Point

Expression

84.0ms

-inf

((* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (+ (* (pow (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))) -1) (pow (log (+ 1 N)) 6)) (/ (neg (pow (log N) 6)) (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))))) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ (/ 1 N) 1) (/ 1 N) (+ (* (log (+ 1 N)) (/ (pow (log (+ 1 N)) 2) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (neg (/ (pow (log N) 3) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))))) (log (+ 1 N)) (/ (pow (log (+ 1 N)) 2) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))) (pow (log (+ 1 N)) 2) (+ (* (/ (pow (log (+ 1 N)) 3) (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4)))) (/ (pow (log (+ 1 N)) 3) (+ (log (+ 1 N)) (log N)))) (/ (neg (pow (log N) 6)) (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))))) (/ (pow (log (+ 1 N)) 3) (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4)))) (pow (log (+ 1 N)) 3) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ 1/24 N) (/ (- 1/12 (/ 1/24 N)) N) (pow (log N) 3) (pow (log N) 6) (pow (log (+ 1 N)) 4) (pow (log N) 4))

53.0ms

inf

((* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (+ (* (pow (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))) -1) (pow (log (+ 1 N)) 6)) (/ (neg (pow (log N) 6)) (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))))) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ (/ 1 N) 1) (/ 1 N) (+ (* (log (+ 1 N)) (/ (pow (log (+ 1 N)) 2) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (neg (/ (pow (log N) 3) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))))) (log (+ 1 N)) (/ (pow (log (+ 1 N)) 2) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))) (pow (log (+ 1 N)) 2) (+ (* (/ (pow (log (+ 1 N)) 3) (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4)))) (/ (pow (log (+ 1 N)) 3) (+ (log (+ 1 N)) (log N)))) (/ (neg (pow (log N) 6)) (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))))) (/ (pow (log (+ 1 N)) 3) (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4)))) (pow (log (+ 1 N)) 3) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ 1/24 N) (/ (- 1/12 (/ 1/24 N)) N) (pow (log N) 3) (pow (log N) 6) (pow (log (+ 1 N)) 4) (pow (log N) 4))

11.0ms

((* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (+ (* (pow (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))) -1) (pow (log (+ 1 N)) 6)) (/ (neg (pow (log N) 6)) (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))))) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ (/ 1 N) 1) (/ 1 N) (+ (* (log (+ 1 N)) (/ (pow (log (+ 1 N)) 2) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (neg (/ (pow (log N) 3) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))))) (log (+ 1 N)) (/ (pow (log (+ 1 N)) 2) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))) (pow (log (+ 1 N)) 2) (+ (* (/ (pow (log (+ 1 N)) 3) (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4)))) (/ (pow (log (+ 1 N)) 3) (+ (log (+ 1 N)) (log N)))) (/ (neg (pow (log N) 6)) (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))))) (/ (pow (log (+ 1 N)) 3) (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4)))) (pow (log (+ 1 N)) 3) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ 1/24 N) (/ (- 1/12 (/ 1/24 N)) N) (pow (log N) 3) (pow (log N) 6) (pow (log (+ 1 N)) 4) (pow (log N) 4))

simplify265.0ms (3%)

Memory

13.4MiB live, 275.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1261	22693
1	4387	20628
0	9535	19703

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 271

Calls

Call 1

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

Outputs
(/ 1/24 (pow N 2))
(/.f64 #s(literal 1/24 binary64) (*.f64 N N))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/.f64 (fma.f64 #s(literal -1/12 binary64) N #s(literal 1/24 binary64)) (*.f64 N N))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))
(/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))
(/ -1/24 (pow N 3))
(/.f64 #s(literal -1/24 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/12 N) 1/24) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/12 binary64) N #s(literal -1/24 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/12 binary64)) N #s(literal -1/24 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 3))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1/2 binary64)) N #s(literal 1/12 binary64)) N #s(literal -1/24 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* -1 (log N))
(neg.f64 (log.f64 N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* -1 (* N (- (/ 1 (log N)) (+ 1/3 (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 5))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2)))))))) 1/2)))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1/3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 N))) (/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 5 binary64))))) (neg.f64 N) #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(* -1 (log N))
(neg.f64 (log.f64 N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (+ 1 N) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(/ (+ 1 N) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(/ (+ 1 N) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (+ 1 N) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(/ (+ 1 N) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(/ (+ 1 N) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(- (* N (+ 1 (* N (- (* N (- (+ 1/3 (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 2))) (/ 1 (pow (log N) 2)))) (* 1/2 (/ 1 (log N))))) 1/2)))) (log N))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (log.f64 N))) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
N
(* N (+ 1 (* -1/2 N)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N)
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N)
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N)
(/ (pow N 2) (pow (log N) 2))
(/.f64 (*.f64 N N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(* (pow N 2) (+ (* -1 (* N (+ (/ 1 (pow (log N) 2)) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))
(.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 N) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 N N))
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 3))) (* 11/12 (/ 1 (pow (log N) 2)))) (+ (* -1 (/ (+ (/ 1 (pow (log N) 2)) (/ 1 (pow (log N) 3))) (log N))) (/ 1 (pow (log N) 4))))) (+ (/ 1 (pow (log N) 2)) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))
(.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/12 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 N)))) N (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) N (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 N N))
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 11/12 (/ 1 (pow (log N) 2))) (* N (- (+ (* -1 (/ (+ (/ 1 (pow (log N) 2)) (/ 1 (pow (log N) 3))) (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 4))) (/ 1 (pow (log N) 5)))) (+ (* -1 (/ (* (+ 1 (* -1/2 (log N))) (+ (/ 1 (pow (log N) 2)) (/ 1 (pow (log N) 3)))) (pow (log N) 2))) (+ (* 5/6 (/ 1 (pow (log N) 2))) (* 5/4 (/ 1 (pow (log N) 3))))))))) (+ (* -1 (/ (+ (/ 1 (pow (log N) 2)) (/ 1 (pow (log N) 3))) (log N))) (/ 1 (pow (log N) 4))))) (+ (/ 1 (pow (log N) 2)) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))
(.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 5/4 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 5/6 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) N (/.f64 #s(literal 11/12 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 N)))) N (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) N (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 N N))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (* -1 N)))
(.f64 (-.f64 #s(literal 1 binary64) N) (.f64 N N))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(.f64 (fma.f64 (fma.f64 #s(literal 11/12 binary64) N #s(literal -1 binary64)) N #s(literal 1 binary64)) (.f64 N N))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/6 binary64) N #s(literal 11/12 binary64)) N #s(literal -1 binary64)) N #s(literal 1 binary64)) (.f64 N N))
(* -1 (log N))
(neg.f64 (log.f64 N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* -1 (* N (- (/ 1 (log N)) (+ 1/3 (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 5))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2)))))))) 1/2)))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1/3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 N))) (/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal -1/2 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 5 binary64))))) (neg.f64 N) #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(/ (pow N 3) (pow (log N) 4))
(/.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
(* (pow N 3) (+ (* -3/2 (/ N (pow (log N) 4))) (/ 1 (pow (log N) 4))))
(*.f64 (fma.f64 (/.f64 N (pow.f64 (log.f64 N) #s(literal 4 binary64))) #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (pow.f64 N #s(literal 3 binary64)))
(* (pow N 3) (+ (* N (- (* N (- (* 7/4 (/ 1 (pow (log N) 4))) (/ 1 (pow (log N) 6)))) (* 3/2 (/ 1 (pow (log N) 4))))) (/ 1 (pow (log N) 4))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 7/4 binary64) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 6 binary64)))) N (/.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) N (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (pow.f64 N #s(literal 3 binary64)))
(* (pow N 3) (+ (* N (- (* N (- (+ (* 7/4 (/ 1 (pow (log N) 4))) (* N (- (* 5/2 (/ 1 (pow (log N) 6))) (* 15/8 (/ 1 (pow (log N) 4)))))) (/ 1 (pow (log N) 6)))) (* 3/2 (/ 1 (pow (log N) 4))))) (/ 1 (pow (log N) 4))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 5/2 binary64) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (/.f64 #s(literal 15/8 binary64) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) N (/.f64 #s(literal 7/4 binary64) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 6 binary64)))) N (/.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) N (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) (pow.f64 N #s(literal 3 binary64)))
(pow N 3)
(pow.f64 N #s(literal 3 binary64))
(* (pow N 3) (+ 1 (* -3/2 N)))
(*.f64 (fma.f64 #s(literal -3/2 binary64) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 7/4 binary64) N #s(literal -3/2 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -15/8 binary64) N #s(literal 7/4 binary64)) N #s(literal -3/2 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -4 (pow N 4))
(*.f64 #s(literal -4 binary64) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (- (* -16/3 N) 4))
(*.f64 (fma.f64 #s(literal -16/3 binary64) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(*.f64 (fma.f64 (fma.f64 #s(literal 8/9 binary64) N #s(literal -16/3 binary64)) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -112/27 binary64) N #s(literal 8/9 binary64)) N #s(literal -16/3 binary64)) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ 1/24 N)
(/.f64 #s(literal 1/24 binary64) N)
(/ 1/24 N)
(/.f64 #s(literal 1/24 binary64) N)
(/ 1/24 N)
(/.f64 #s(literal 1/24 binary64) N)
(/ 1/24 N)
(/.f64 #s(literal 1/24 binary64) N)
(/ -1/24 (pow N 2))
(/.f64 #s(literal -1/24 binary64) (*.f64 N N))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/.f64 (fma.f64 #s(literal 1/12 binary64) N #s(literal -1/24 binary64)) (*.f64 N N))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/.f64 (fma.f64 #s(literal 1/12 binary64) N #s(literal -1/24 binary64)) (*.f64 N N))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/.f64 (fma.f64 #s(literal 1/12 binary64) N #s(literal -1/24 binary64)) (*.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))
(pow (log N) 6)
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(pow (log N) 6)
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(pow (log N) 6)
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(pow (log N) 6)
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(pow N 4)
(pow.f64 N #s(literal 4 binary64))
(* (pow N 4) (+ 1 (* -2 N)))
(*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (+ 1 (* N (- (* 17/6 N) 2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 17/6 binary64) N #s(literal -2 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* (pow N 4) (+ 1 (* N (- (* N (+ 17/6 (* -7/2 N))) 2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -7/2 binary64) N #s(literal 17/6 binary64)) N #s(literal -2 binary64)) N #s(literal 1 binary64)) (pow.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 N) 4)
(pow.f64 (log.f64 N) #s(literal 4 binary64))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N)
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(/.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) N)
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(/.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) N)
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) N)
(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 -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(+ (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
(fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) N) #s(literal 4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)))
(+ (* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 N))) N))
(+ (* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 2 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal -4 binary64))) N)) (neg.f64 N))) N))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))

rewrite185.0ms (2.1%)

Memory

16.9MiB live, 256.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	84	410
0	131	401
1	566	320
2	4878	320
0	8071	320

Stop Event

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

Counts

23 → 480

Calls

Call 1

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

Outputs
(.f64 (.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N))) #s(literal -1 binary64))
(.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) #s(literal -1 binary64)) N)
(*.f64 (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64))) N)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (.f64 #s(literal -1 binary64) (neg.f64 N)))
(*.f64 (neg.f64 N) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) (neg.f64 N))
(.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) N))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 N)) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 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)) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 N) (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 N) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.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)) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64))))
(neg.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) N))
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (neg.f64 N) (*.f64 #s(literal -1 binary64) (neg.f64 N)))
(fma.f64 (neg.f64 N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (*.f64 (neg.f64 N) #s(literal -1 binary64)))
(fma.f64 (neg.f64 N) #s(literal -1 binary64) (*.f64 (neg.f64 N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)))
(fma.f64 #s(literal -1 binary64) (neg.f64 N) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (neg.f64 N)))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) N))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (neg.f64 N)) (.f64 #s(literal -1 binary64) (neg.f64 N)))
(+.f64 (.f64 #s(literal -1 binary64) (neg.f64 N)) (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (neg.f64 N)))
(+.f64 (.f64 (neg.f64 N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (.f64 (neg.f64 N) #s(literal -1 binary64)))
(+.f64 (.f64 (neg.f64 N) #s(literal -1 binary64)) (.f64 (neg.f64 N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)))
(pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
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(/.f64 (-.f64 #s(literal 1/1728 binary64) (.f64 #s(literal 1/13824 binary64) (pow.f64 N #s(literal -3 binary64)))) (.f64 N (+.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1/288 binary64) N)) #s(literal 1/144 binary64))))
(/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) (neg.f64 N))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 N (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 N (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)))))
(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)
(neg.f64 (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N) (neg.f64 (/.f64 (/.f64 #s(literal 1/24 binary64) N) N)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1/24 binary64) N) N)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/3 binary64)) (neg.f64 (/.f64 (/.f64 #s(literal 1/24 binary64) N) N)))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 N #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 #s(literal 1/24 binary64) N) N)))
(-.f64 (/.f64 #s(literal 1/12 binary64) N) (/.f64 (/.f64 #s(literal 1/24 binary64) N) N))
(+.f64 (/.f64 #s(literal 1/12 binary64) N) (neg.f64 (/.f64 (/.f64 #s(literal 1/24 binary64) N) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 N (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 N) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 N))
(*.f64 (log.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 (log.f64 N))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (log.f64 N)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 N) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 1 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 N))
(.f64 (.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))
(.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.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 4 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
(.f64 (log.f64 N) (.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))))
(pow.f64 (exp.f64 (log.f64 (log.f64 N))) #s(literal 6 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(neg.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (log.f64 N)))) #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (fma.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64) (*.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 6 binary64)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (log1p.f64 N))
(*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(*.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))
(pow.f64 (exp.f64 (log.f64 (log1p.f64 N))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (log1p.f64 N)))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 (log.f64 N))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (log.f64 N)))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64))))

eval268.0ms (3.1%)

Memory: 10.8MiB live, 477.1MiB allocated
Compiler: Compiled 94 748 to 5 391 computations (94.3% saved)

prune113.0ms (1.3%)

Memory

-24.5MiB live, 270.9MiB allocated

Pruning

49 alts after pruning (42 fresh and 7 done)

	Pruned	Kept	Total
New	1 336	17	1 353
Fresh	13	25	38
Picked	1	4	5
Done	0	3	3
Total	1 350	49	1 399

Accuracy

99.8%

Counts

1 399 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (/.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))
	28.4%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	28.9%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	28.8%	(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	28.2%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	28.5%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) (log.f64 N))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N)))))
	28.6%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (neg.f64 (pow.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) #s(literal 4 binary64))) (.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N)))))
✓	28.5%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N)))))
	28.1%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	28.6%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))))))
✓	28.2%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	27.2%	(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) #s(literal 2 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	26.8%	(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	28.6%	(/.f64 (fma.f64 (/.f64 (neg.f64 (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 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (/.f64 (pow.f64 (log1p.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 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	29.0%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 18 binary64))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -3 binary64)) (.f64 (pow.f64 (log1p.f64 N) #s(literal 18 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -3 binary64)))) (fma.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 12 binary64)) (.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))))))
	29.0%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 18 binary64))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -3 binary64)) (.f64 (pow.f64 (log1p.f64 N) #s(literal 18 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -3 binary64)))) (fma.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 12 binary64)) (-.f64 (.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 12 binary64))) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (/.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))))))
	28.9%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
	27.8%	(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (log.f64 N) (log1p.f64 N)) (.f64 (.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))))) (/.f64 (pow.f64 (log1p.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 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))) (.f64 (.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))))) (+.f64 (log.f64 N) (log1p.f64 N))))
	26.9%	(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 12 binary64)) (pow.f64 (log.f64 N) #s(literal 12 binary64))) (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)))) (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N)))))
	26.9%	(/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (log1p.f64 N) (log.f64 N)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))))
	25.0%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (-.f64 (log.f64 N) (log1p.f64 N)))
	26.9%	(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)))
	26.8%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (log.f64 (fma.f64 N N N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))))
	26.7%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))))
	27.4%	(-.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 6 binary64))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))))
	26.9%	(-.f64 (log1p.f64 N) (log.f64 N))
	24.8%	(.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
	28.7%	(.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (log1p.f64 N) (.f64 (pow.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (log.f64 N)))))
	24.4%	(.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) #s(approx (pow (log (+ 1 N)) 2) (-.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) N) #s(literal -2 binary64) (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal -2/3 binary64) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (log.f64 N) N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 N N))))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))) #s(literal -1 binary64))))
	30.8%	(.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
	29.0%	(.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 18 binary64))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -3 binary64)) (.f64 (pow.f64 (log1p.f64 N) #s(literal 18 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -3 binary64)))) (pow.f64 (fma.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 12 binary64)) (.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))))) #s(literal -1 binary64)))
	26.9%	(.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
	25.7%	(.f64 (/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))) (exp.f64 (log.f64 (-.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))
	30.1%	(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
	30.8%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	30.2%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
✓	30.1%	(log.f64 #s(approx (/ (+ 1 N) N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	96.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	92.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
	96.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (neg.f64 N) (*.f64 #s(literal -1 binary64) (neg.f64 N))))))
	92.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
	96.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ (- 1/12 (/ 1/24 N)) N) (/.f64 (fma.f64 #s(literal 1/12 binary64) N #s(literal -1/24 binary64)) (.f64 N N)))) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))))
	96.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 1 binary64))))) (neg.f64 N)))))
	92.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 #s(approx (+ ( (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))) (neg.f64 N)))))
	96.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))))))
✓	82.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
✓	3.3%	#s(approx (+ (* (pow (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))) -1) (pow (log (+ 1 N)) 6)) (/ (neg (pow (log N) 6)) (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))))) #s(literal 0 binary64))

Compiler

Compiled 6 866 to 1 601 computations (76.7% saved)

regimes53.0ms (0.6%)

Memory

-12.9MiB live, 101.7MiB allocated

Counts

87 → 2

Calls

Call 1

Inputs
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(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 18 binary64)) (pow.f64 (log.f64 N) #s(literal 18 binary64))) (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 12 binary64)) (fma.f64 (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 12 binary64)) (/.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 12 binary64)) (fma.f64 (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 12 binary64)) (/.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64))))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 18 binary64)) (pow.f64 (log.f64 N) #s(literal 18 binary64))) (pow.f64 (.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 18 binary64))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -3 binary64)) (.f64 (pow.f64 (log1p.f64 N) #s(literal 18 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -3 binary64)))) (fma.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 12 binary64)) (.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 18 binary64)) (pow.f64 (log.f64 N) #s(literal 18 binary64))) (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 12 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))) #s(literal -2 binary64)) (.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))))))))
(.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 18 binary64))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -3 binary64)) (.f64 (pow.f64 (log1p.f64 N) #s(literal 18 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -3 binary64)))) (pow.f64 (fma.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 12 binary64)) (.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))))) #s(literal -1 binary64)))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 18 binary64))) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -3 binary64)) (.f64 (pow.f64 (log1p.f64 N) #s(literal 18 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -3 binary64)))) (fma.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 12 binary64)) (-.f64 (.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 12 binary64))) (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (/.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))))))

Outputs

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

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

Calls

2 calls:

25.0ms	N
21.0ms	(-.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 8 to 7 computations (12.5% saved)

regimes15.0ms (0.2%)

Memory

32.0MiB live, 32.0MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes16.0ms (0.2%)

Memory

-18.7MiB live, 25.6MiB allocated

Counts

24 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.9%	1	`N`
96.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes14.0ms (0.2%)

Memory

-14.9MiB live, 24.4MiB allocated

Counts

22 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

8.0ms	N
5.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
96.7%	1	`N`
96.7%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.0%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
95.0%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.7%	1	`N`
92.7%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

-28.9MiB live, 10.4MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (pow (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))) -1) (pow (log (+ 1 N)) 6)) (/ (neg (pow (log N) 6)) (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))))) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.0%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
92.0%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (pow (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))) -1) (pow (log (+ 1 N)) 6)) (/ (neg (pow (log N) 6)) (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))))) #s(literal 0 binary64))

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
82.2%	1	`N`
82.2%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (pow (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))) -1) (pow (log (+ 1 N)) 6)) (/ (neg (pow (log N) 6)) (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))))) #s(literal 0 binary64))

Outputs

#s(approx (+ (* (pow (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))) -1) (pow (log (+ 1 N)) 6)) (/ (neg (pow (log N) 6)) (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))))) #s(literal 0 binary64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
3.3%	1	`N`
3.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0006882000899883778	0.0019028753333234505

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0005958662962139982	0.0006882000899883778

Compiler

Compiled 10 to 10 computations (0% saved)

simplify49.0ms (0.6%)

Memory

-16.6MiB live, 64.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	106	379
1	128	373
2	156	373
3	207	373
4	310	373
5	469	373
6	651	373
7	745	373
8	773	373
9	776	373

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (neg.f64 N) (*.f64 #s(literal -1 binary64) (neg.f64 N)))))) (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5534023222112865/9223372036854775808 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (neg.f64 N) (*.f64 #s(literal -1 binary64) (neg.f64 N)))))) (log.f64 #s(approx (/ (+ 1 N) N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (neg.f64 N) (*.f64 #s(literal -1 binary64) (neg.f64 N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (+ (* (pow (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))) -1) (pow (log (+ 1 N)) 6)) (/ (neg (pow (log N) 6)) (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))))) #s(literal 0 binary64))

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (neg.f64 N) (*.f64 #s(literal -1 binary64) (neg.f64 N)))))) (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) N)) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) #s(literal -1/2 binary64)) N) (neg.f64 N) N)))) (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 5534023222112865/9223372036854775808 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (neg.f64 N) (*.f64 #s(literal -1 binary64) (neg.f64 N)))))) (log.f64 #s(approx (/ (+ 1 N) N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) N)) (log.f64 N)) #s(literal 5534023222112865/9223372036854775808 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) #s(literal -1/2 binary64)) N) (neg.f64 N) N)))) (log.f64 #s(approx (/ (+ 1 N) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) (neg.f64 N) (*.f64 #s(literal -1 binary64) (neg.f64 N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) #s(literal -1/2 binary64)) N) (neg.f64 N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 N (/.f64 #s(literal 1/2 binary64) N) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (+ (* (pow (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))) -1) (pow (log (+ 1 N)) 6)) (/ (neg (pow (log N) 6)) (* (+ (pow (* (log (+ 1 N)) (log N)) 2) (+ (pow (log N) 4) (pow (log (+ 1 N)) 4))) (+ (log (+ 1 N)) (log N))))) #s(literal 0 binary64))

soundness1.2s (14.1%)

Memory

4.1MiB live, 768.6MiB allocated

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	330
1	250	302
2	588	301
3	1591	295
4	4186	287
5	6252	287
6	7306	287
0	8036	278
0	1216	16512
1	4181	15245
0	8634	14540
0	84	410
0	131	401
1	566	320
2	4878	320
0	8071	320
0	49	293
0	84	209
1	385	198
2	3182	198
0	8387	198
0	1261	22693
1	4387	20628
0	9535	19703

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 730 to 381 computations (47.8% saved)

preprocess103.0ms (1.2%)

Memory: 24.0MiB live, 105.5MiB allocated
Compiler: Compiled 814 to 272 computations (66.6% 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	106	379
1	128	373
2	156	373
3	207	373
4	310	373
5	469	373
6	651	373
7	745	373
8	773	373
9	776	373

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	106	379
1	128	373
2	156	373
3	207	373
4	310	373
5	469	373
6	651	373
7	745	373
8	773	373
9	776	373

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (16.2%)

explain307.0ms (3.5%)

preprocess17.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.1%)

localize41.0ms (0.5%)

series53.0ms (0.6%)

simplify153.0ms (1.8%)

rewrite194.0ms (2.2%)

eval65.0ms (0.7%)

prune29.0ms (0.3%)

simplify200.0ms (2.3%)

localize296.0ms (3.4%)

series127.0ms (1.5%)

simplify278.0ms (3.2%)

rewrite381.0ms (4.4%)

eval432.0ms (5%)

prune106.0ms (1.2%)

simplify172.0ms (2%)

localize295.0ms (3.4%)

series71.0ms (0.8%)

simplify221.0ms (2.5%)

rewrite248.0ms (2.8%)

eval333.0ms (3.8%)

prune225.0ms (2.6%)

simplify160.0ms (1.8%)

localize398.0ms (4.6%)

series165.0ms (1.9%)

simplify265.0ms (3%)

rewrite185.0ms (2.1%)

eval268.0ms (3.1%)

prune113.0ms (1.3%)

regimes53.0ms (0.6%)

regimes15.0ms (0.2%)

regimes16.0ms (0.2%)

regimes14.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify49.0ms (0.6%)

soundness1.2s (14.1%)

preprocess103.0ms (1.2%)

end0.0ms (0%)

Profiling

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

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

Iter	Nodes	Cost
0	106	379
1	128	373
2	156	373
3	207	373
4	310	373
5	469	373
6	651	373
7	745	373
8	773	373
9	776	373