Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.4s (17.1%)

Memory

-17.6MiB live, 1 521.0MiB allocated

Samples

966.0ms	6 464×	1	valid
112.0ms	1 792×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 874.0ms

ival-log1p: 331.0ms (37.9% of total)

ival-log: 297.0ms (34% of total)

adjust: 108.0ms (12.4% of total)

ival-sub: 72.0ms (8.2% of total)

ival->: 23.0ms (2.6% of total)

ival-<: 20.0ms (2.3% of total)

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

exact: 10.0ms (1.1% of total)

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

Bogosity

explain151.0ms (1.8%)

Memory

-5.7MiB live, 190.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
248	-	1	(23.68824158549006)	`(-.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	247	3

Confusion

	Predicted +	Predicted -
+	247	1
-	0	8

Precision

1.0

Recall

0.9959677419354839

Confusion?

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

Precision?

0.992

Recall?

1.0

Freqs

test

number	freq
0	9
1	247

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

77.0ms	404×	1	valid
7.0ms	108×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-log1p: 37.0ms (55.2% of total)

ival-log: 15.0ms (22.4% of total)

adjust: 8.0ms (11.9% of total)

ival-sub: 5.0ms (7.5% of total)

ival-add: 2.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess16.0ms (0.2%)

Memory

26.9MiB live, 26.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	74	16
4	122	16
5	180	16
6	204	16
7	215	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	109	7
8	158	7
9	174	7
10	182	7
0	182	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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.6%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify10.0ms (0.1%)

Memory

-29.4MiB live, 7.6MiB 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	2	(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	109	18
8	158	18
9	174	18
10	182	18
0	182	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)

localize39.0ms (0.5%)

Memory

20.9MiB live, 57.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 N #s(literal 1 binary64))
accuracy	0.0	(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	0.0	(log.f64 N)
accuracy	49.509147014323	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

29.0ms	202×	1	valid
3.0ms	54×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-log1p: 8.0ms (35.9% of total)

ival-log: 6.0ms (26.9% of total)

adjust: 4.0ms (18% of total)

ival-sub: 2.0ms (9% of total)

ival-add: 1.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

series60.0ms (0.7%)

Memory

-0.5MiB live, 45.7MiB allocated

Counts

4 → 27

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)
(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 (+ 1 (/ 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 (/ (- (* 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))

Calls

3 calls:

Time	Variable		Point	Expression
36.0ms	N	@	0	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
17.0ms	N	@	-inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
6.0ms	N	@	inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))

simplify163.0ms (2%)

Memory

-8.1MiB live, 148.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	258
1	250	234
2	588	233
3	1601	227
4	4231	223
5	6313	223
6	7369	223
0	8152	214

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 26

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)
(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 (+ 1 (/ 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 (/ (- (* 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))

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)
(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 (+ 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))) (/ 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 (/ (- (* 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)

rewrite302.0ms (3.7%)

Memory

-9.5MiB live, 192.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	15
1	42	15
2	269	15
3	2628	15
0	8874	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)))))))
(/.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))) (+.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 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
(neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))))
(neg.f64 (neg.f64 (log1p.f64 N)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 N)) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 N)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 N #s(literal 1 binary64))) (log.f64 (fma.f64 N N #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) (log1p.f64 (pow.f64 N #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #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 (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)))))
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(neg.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)))
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(-.f64 (/.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 N)) #s(literal -1 binary64)))
(pow.f64 (log.f64 N) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 N))
(+.f64 (log.f64 N) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 N)))
(log.f64 N)

eval104.0ms (1.3%)

Memory: 11.8MiB live, 87.4MiB allocated
Compiler: Compiled 12 538 to 1 566 computations (87.5% saved)

prune44.0ms (0.5%)

Memory

-10.2MiB live, 35.3MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	428	19	447
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	429	19	448

Accuracy

99.7%

Counts

448 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.3%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	24.1%	(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))))))
	11.4%	(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (-.f64 (log1p.f64 N) (log.f64 N)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
▶	22.3%	(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)))))
	23.7%	(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64))) (log.f64 N) (.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))))) (log.f64 N)))
	24.0%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64))))) (.f64 (log.f64 N) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))))))
	23.2%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
	22.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
▶	22.4%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	22.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)))
	22.7%	(-.f64 (log1p.f64 N) (log.f64 N))
	22.6%	(*.f64 (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)))
	25.7%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
▶	25.1%	(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
	25.1%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	95.6%	#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))
▶	96.8%	#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))
	93.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	85.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 1 014 to 492 computations (51.5% saved)

simplify170.0ms (2.1%)

Memory

10.4MiB live, 85.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))
cost-diff	8	(-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
cost-diff	16	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 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	(/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))
cost-diff	0	(log1p.f64 N)
cost-diff	17	(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)))))
cost-diff	0	(*.f64 (-.f64 N #s(literal 1 binary64)) N)
cost-diff	0	(log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64))))
cost-diff	0	(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
cost-diff	5	(/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) N)
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
cost-diff	0	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
cost-diff	0	(-.f64 (/.f64 (-.f64 #s(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: 4 (0.0ms)

Iter	Nodes	Cost
0	41	317
0	72	304
1	132	298
2	277	289
3	725	269
4	1737	249
5	6334	249
0	8167	249

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

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

localize267.0ms (3.3%)

Memory

17.2MiB live, 171.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.5137100586106521	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.5215225586106522	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	0.5221863281475362	(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
accuracy	49.15987630411618	(-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
accuracy	0.09375	(+.f64 (log.f64 N) (log1p.f64 N))
accuracy	0.4375	(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))
accuracy	0.5215225586106522	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	49.34683213917219	(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)))))
accuracy	0.0	(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
accuracy	0.00390625	(*.f64 (-.f64 N #s(literal 1 binary64)) N)
accuracy	0.18558505861065205	(/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))
accuracy	47.52485218192251	(log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64))))
accuracy	0.0	(/.f64 #s(literal 1 binary64) N)
accuracy	9.247829680635206	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy	0.08984375	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
accuracy	0.10384750976844201	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.2890625	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.005051544433952	#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

159.0ms	202×	1	valid
37.0ms	54×	0	valid

Compiler

Compiled 352 to 40 computations (88.6% saved)

Precisions

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

ival-log: 39.0ms (23.5% of total)

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

ival-pow2: 23.0ms (13.8% of total)

ival-div: 22.0ms (13.2% of total)

adjust: 13.0ms (7.8% of total)

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

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

const: 6.0ms (3.6% of total)

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

ival-neg: 4.0ms (2.4% 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 (0.9%)

Memory

-15.9MiB live, 68.5MiB allocated

Counts

23 → 170

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 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))
(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
(log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64))))
(*.f64 (-.f64 N #s(literal 1 binary64)) N)
(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)))))
(log1p.f64 N)
(/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))
(+.f64 (log.f64 N) (log1p.f64 N))
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 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 N)
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- N 1))))
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(* -1 N)
(* N (- N 1))
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(/ N (log N))
(* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (* 1/2 (/ 1 (pow (log N) 2)))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* N (- (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/4 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))) (* 2/3 (/ 1 (pow (log N) 2)))))))))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(+ N (log N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (* -1 (/ (- (* 2/3 (log N)) 1) (log N))) (* 2 (/ (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))) (log N))))))) (/ 1 (log N)))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(* -1 (pow (log N) 3))
(- (* -1 (* N (pow (log N) 2))) (pow (log N) 3))
(- (* N (- (* N (- (log N) (* -1/2 (pow (log N) 2)))) (pow (log N) 2))) (pow (log N) 3))
(- (* N (- (* N (- (+ (log N) (* N (- (+ 1 (* -1 (log N))) (* 1/3 (pow (log N) 2))))) (* -1/2 (pow (log N) 2)))) (pow (log N) 2))) (pow (log N) 3))
(* (pow N 2) (log N))
(* (pow N 2) (+ (log N) (* N (+ 1 (* -1 (log N))))))
(* (pow N 2) (+ (log N) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 11/12 (log N)) 3/2)))))))
(* (pow N 2) (+ (log N) (* N (+ 1 (+ (* -1 (log N)) (* N (- (+ (* 11/12 (log N)) (* N (+ 7/4 (* -5/6 (log N))))) 3/2)))))))
(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))))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(pow (log N) 2)
(+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1)))
(+ (* 2 (* N (log N))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (* -1 (log N)))))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 2/3 (log N)) 1))))))) (pow (log N) 2))
(/ (- 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 (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))
(/ -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)
(* (pow N 2) (- 1 (/ 1 N)))
(/ (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)
(/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)
(/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/16 (/ 1 (log (/ 1 N)))) (+ 1/12 (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N)))))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (+ 1/12 (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)
(* -1 (log (/ 1 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)))
1/2
(- 1/2 (* 1/4 (/ 1 (* N (log (/ 1 N))))))
(- (+ 1/2 (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))
(- (+ 1/2 (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (+ (* 1/8 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))))
(* -2 (log (/ 1 N)))
(+ (* -2 (log (/ 1 N))) (/ 1 N))
(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(/ (+ 1 (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (* N (pow (log (/ 1 N)) 2)))) (/ 1 (* N (log (/ 1 N)))))) N)
(/ (- (+ 1 (+ (* 1/4 (/ (+ 1 (+ (* -2 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (* 2 (log (/ 1 N))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (* N (pow (log (/ 1 N)) 2)))) (/ 1 (* N (log (/ 1 N))))))) (+ (* -1 (/ (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (pow (log (/ 1 N)) 2))) (/ 1 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (* (pow N 2) (pow (log (/ 1 N)) 2)))))) N)
(/ (- (+ 1 (+ (* 1/4 (/ (+ 1 (+ (* -2 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (* 2 (log (/ 1 N))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (* N (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (- (+ (* -2 (* (log (/ 1 N)) (+ 11/12 (* 1/2 (log (/ 1 N)))))) (+ (* -4/3 (log (/ 1 N))) (* -1/2 (+ 1 (log (/ 1 N)))))) 1) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (/ 1 (* N (log (/ 1 N)))))))) (+ (* -1 (/ (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (pow (log (/ 1 N)) 2))) (/ 1 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1 (/ (- (* 1/4 (/ (+ 1 (+ (* -2 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (* 2 (log (/ 1 N))))) (pow (log (/ 1 N)) 2))) (+ (* -1 (/ (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (pow (log (/ 1 N)) 2))) (/ 1 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (pow (log (/ 1 N)) 2))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (pow (log (/ 1 N)) 2))) (/ 1 (log (/ 1 N))))) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (* 1/4 (/ (- (* -4/3 (log (/ 1 N))) 1) (* (pow N 3) (pow (log (/ 1 N)) 2))))))))) N)
(* 4 (/ (pow (log (/ 1 N)) 2) N))
(/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (* 4 (pow (log (/ 1 N)) 2)))) N)
(/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (+ (* -2 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 2))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2))))))) N)
(/ (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2 (/ (* (log (/ 1 N)) (+ 11/12 (* 1/2 (log (/ 1 N))))) (pow N 3))) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (+ (* -2 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 2))) (+ (* -4/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))))))) (/ 1 (pow N 3))) N)
(* -2 (pow (log (/ 1 N)) 3))
(+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N)))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N))))))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3))) (+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ 1 (pow N 3)) (/ (pow (log (/ 1 N)) 2) N))))))))))
(pow (log (/ 1 N)) 2)
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))
(/ -1/3 N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(* -1/2 (log (/ 1 N)))
(- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))
(- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))
(- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))
(* 4 (pow (log (/ 1 N)) 2))
(+ (* -4 (/ (log (/ 1 N)) N)) (* 4 (pow (log (/ 1 N)) 2)))
(+ (* -4 (/ (log (/ 1 N)) N)) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))
(- (+ (* -4 (/ (log (/ 1 N)) N)) (+ (* -4/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))) (/ 1 (pow N 3)))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N)))
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))
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(+ (* -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))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))
(+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(+ (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)
(+ (* 2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(+ (* -1 (/ (+ (* -2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(+ (* -1 (/ (+ (* -2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -2/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)))) N))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))

Calls

3 calls:

Time	Variable		Point	Expression
27.0ms	N	@	-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) (+ (* N N) -1)) (neg (log (/ (* (- N 1) N) (+ (* N N) -1)))) (log (/ (* (- N 1) N) (+ (* N N) -1))) (* (- N 1) N) (+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (+ (log N) (log (+ 1 N))))) (neg (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))))) (log (+ 1 N)) (/ (log (+ 1 N)) (+ (log N) (log (+ 1 N)))) (+ (log N) (log (+ 1 N))) (/ (- (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (pow (log N) 2))) (pow (+ (log N) (log (+ 1 N))) 2)) (- (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (pow (log N) 2))) (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (pow (log N) 2) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) (pow (+ (log N) (log (+ 1 N))) 2))
21.0ms	N	@	0	((- (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) (+ (* N N) -1)) (neg (log (/ (* (- N 1) N) (+ (* N N) -1)))) (log (/ (* (- N 1) N) (+ (* N N) -1))) (* (- N 1) N) (+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (+ (log N) (log (+ 1 N))))) (neg (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))))) (log (+ 1 N)) (/ (log (+ 1 N)) (+ (log N) (log (+ 1 N)))) (+ (log N) (log (+ 1 N))) (/ (- (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (pow (log N) 2))) (pow (+ (log N) (log (+ 1 N))) 2)) (- (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (pow (log N) 2))) (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (pow (log N) 2) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) (pow (+ (log N) (log (+ 1 N))) 2))
18.0ms	N	@	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) (+ (* N N) -1)) (neg (log (/ (* (- N 1) N) (+ (* N N) -1)))) (log (/ (* (- N 1) N) (+ (* N N) -1))) (* (- N 1) N) (+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (+ (log N) (log (+ 1 N))))) (neg (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))))) (log (+ 1 N)) (/ (log (+ 1 N)) (+ (log N) (log (+ 1 N)))) (+ (log N) (log (+ 1 N))) (/ (- (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (pow (log N) 2))) (pow (+ (log N) (log (+ 1 N))) 2)) (- (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (pow (log N) 2))) (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (pow (log N) 2) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) (pow (+ (log N) (log (+ 1 N))) 2))

Time

Variable

Point

Expression

27.0ms

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

21.0ms

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

18.0ms

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

simplify325.0ms (4%)

Memory

-1.6MiB live, 195.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	981	8230
1	3208	7727
0	8919	7271

Stop Event

1×	iter limit
1×	node limit

Counts

170 → 169

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

rewrite276.0ms (3.4%)

Memory

11.4MiB live, 203.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	248
0	72	217
1	332	182
2	2663	182
0	9394	182

Stop Event

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

Counts

23 → 1 754

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

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

eval381.0ms (4.7%)

Memory: -2.6MiB live, 265.5MiB allocated
Compiler: Compiled 65 317 to 6 279 computations (90.4% saved)

prune88.0ms (1.1%)

Memory

3.1MiB live, 136.2MiB allocated

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	1 629	25	1 654
Fresh	6	8	14
Picked	3	2	5
Done	0	0	0
Total	1 638	35	1 673

Accuracy

99.9%

Counts

1 673 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.3%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
	23.2%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
	24.4%	(/.f64 (fma.f64 (log1p.f64 N) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) #s(literal -1 binary64))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))))
	23.0%	(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -3 binary64))))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))))))
	22.3%	(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (log1p.f64 N))) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N))))
	22.6%	(/.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 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N))))
	22.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
▶	22.7%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 (.f64 N (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	20.0%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) #s(approx (log (+ 1 N)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N)) (log.f64 N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))) #s(literal 2 binary64)))
	22.4%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
	20.0%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) #s(literal 2 binary64)))
	22.5%	(/.f64 (-.f64 (.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (+.f64 (log.f64 N) (log1p.f64 N))))
	96.4%	(/.f64 #s(approx (- (* (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (* (+ (log N) (log (+ 1 N))) (pow (log N) 2))) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (neg.f64 (log.f64 N)) N) (/.f64 (.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (neg.f64 (log.f64 N))) (pow.f64 N #s(literal 3 binary64)))) (+.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 (log.f64 N)) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) N) (/.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (neg.f64 (log.f64 N))) (.f64 N N))) (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal -4/3 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) N) (/.f64 (neg.f64 (log.f64 N)) N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))))))) (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))))) N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	22.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)))
	22.7%	(-.f64 (log1p.f64 N) (log.f64 N))
	25.4%	(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) N)))
	22.6%	(*.f64 (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)))
	21.6%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N #s(literal -1 binary64))))))))
	24.9%	(neg.f64 (+.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))))))
	25.7%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
✓	25.1%	(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
▶	25.1%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	96.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N N) (*.f64 N N)))
▶	96.3%	#s(approx (- (log (+ N 1)) (log 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))))))
	96.2%	#s(approx (- (log (+ N 1)) (log 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))))
	95.6%	#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))
	96.8%	#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))
	96.7%	#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))
	95.6%	#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))
▶	93.1%	#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))
	96.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (.f64 (.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) #s(literal -1 binary64))) (.f64 (.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) N)))
▶	96.8%	#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)))))
✓	85.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	96.7%	#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)))
	96.4%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))

Compiler

Compiled 2 365 to 1 252 computations (47.1% saved)

simplify132.0ms (1.6%)

Memory

18.1MiB live, 209.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 (.f64 N (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))
cost-diff	0	(-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 (.f64 N (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
cost-diff	2	(*.f64 N (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))
cost-diff	2	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 (.f64 N (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
cost-diff	1	(*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -3 binary64)))
cost-diff	1	(-.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))))
cost-diff	3	(+.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))))
cost-diff	4	(*.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))
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	2	(/.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: 0 (0.0ms)

Iter	Nodes	Cost
0	67	714
0	112	704
1	190	689
2	389	675
3	1185	659
4	4078	657
0	8271	654

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

localize342.0ms (4.2%)

Memory

-14.2MiB live, 381.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.5137100586106521	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.5215225586106522	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	0.5221863281475362	(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
accuracy	49.15987630411618	(-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 (.f64 N (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
accuracy	0.39681625976844204	(*.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))
accuracy	0.5241012695368841	(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))
accuracy	0.7163240235163768	(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))
accuracy	2.005051544433952	#s(approx (- (log (+ N 1)) (log 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))))))
accuracy	0.0	(+.f64 #s(literal 1 binary64) N)
accuracy	0.00390625	(/.f64 (+.f64 #s(literal 1 binary64) N) N)
accuracy	47.98318933714934	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
accuracy	0.00390625	(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
accuracy	0.0703125	(/.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	2.005051544433952	#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	9.38974363901484	#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
accuracy	0.08984375	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
accuracy	0.10384750976844201	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.2890625	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.005051544433952	#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

258.0ms	199×	1	valid
26.0ms	57×	0	valid

Compiler

Compiled 638 to 56 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 239.0ms

ival-log: 79.0ms (33% of total)

ival-div: 29.0ms (12.1% of total)

ival-pow: 23.0ms (9.6% of total)

adjust: 21.0ms (8.8% of total)

ival-pow2: 19.0ms (7.9% of total)

ival-log1p: 18.0ms (7.5% of total)

ival-sub: 17.0ms (7.1% of total)

ival-mult: 16.0ms (6.7% of total)

ival-add: 9.0ms (3.8% of total)

const: 7.0ms (2.9% of total)

exact: 1.0ms (0.4% of total)

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

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

series77.0ms (0.9%)

Memory

0.5MiB live, 94.3MiB allocated

Counts

28 → 160

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

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))
(+ 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
(+ 1 N)
(/ 1/4 (pow N 5))
(/ (+ 1/4 (* -1/3 N)) (pow N 5))
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 5))
(/ 1/16 (pow N 8))
(/ (+ 1/16 (* -1/6 N)) (pow N 8))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 8))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 8))
(/ -1/64 (pow N 12))
(/ (- (* 1/16 N) 1/64) (pow N 12))
(/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 12))
(/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 12))
(/ -1 (pow N 3))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (* -1 (/ (- (* 2/3 (log N)) 1) (log N))) (* 2 (/ (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))) (log N))))))) (/ 1 (log N)))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
N
(* N (+ 1 (pow N 3)))
(* -1 (pow (log N) 3))
(- (* -1 (* N (pow (log N) 2))) (pow (log N) 3))
(- (* N (- (* N (- (log N) (* -1/2 (pow (log N) 2)))) (pow (log N) 2))) (pow (log N) 3))
(- (* N (- (* N (- (+ (log N) (* N (- (+ 1 (* -1 (log N))) (* 1/3 (pow (log N) 2))))) (* -1/2 (pow (log N) 2)))) (pow (log N) 2))) (pow (log N) 3))
(* (pow N 2) (log N))
(* (pow N 2) (+ (log N) (* N (+ 1 (* -1 (log N))))))
(* (pow N 2) (+ (log N) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 11/12 (log N)) 3/2)))))))
(* (pow N 2) (+ (log N) (* N (+ 1 (+ (* -1 (log N)) (* N (- (+ (* 11/12 (log N)) (* N (+ 7/4 (* -5/6 (log N))))) 3/2)))))))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/3 N))) 1/6))) (pow N 8))
(pow (log N) 2)
(+ (* 2 (* N (log N))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (* -1 (log N)))))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 2/3 (log N)) 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 (* 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 (+ 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 (* 1/2 (/ 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 (/ 1 N))
(* N (+ 1 (/ 1 N)))
(/ 1/2 (pow N 3))
(/ (- 1/2 (* 1/3 (/ 1 N))) (pow N 3))
(/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) (pow N 3))
(/ 1 (pow N 2))
(/ (+ 1 (* 1/2 (/ 1 N))) (pow N 2))
(/ (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))) (pow N 2))
(/ (+ 1 (+ (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) (pow N 2))) (* 1/2 (/ 1 N)))) (pow N 2))
(/ 1 (pow N 3))
(/ (- 1 (* 1/8 (/ 1 (pow N 3)))) (pow N 3))
(/ (- (+ 1 (/ 1/4 (pow N 4))) (* 1/8 (/ 1 (pow N 3)))) (pow N 3))
(/ (- (+ 1 (/ 1/4 (pow N 4))) (+ (* 1/8 (/ 1 (pow N 3))) (* 17/48 (/ 1 (pow N 5))))) (pow N 3))
(* 1/4 (/ (- (* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (* -2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2)))
(- (+ (* -1/2 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (* N (log (/ 1 N))))) (* 1/4 (/ (- (* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (* -2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2)))) (* -1/4 (/ (- (* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (* -2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))))
(- (+ (* -1/2 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (* N (log (/ 1 N))))) (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* (+ 1 (log (/ 1 N))) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (* 1/4 (/ (- (* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (* -2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (- (* -1/2 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (log (/ 1 N)))) (* -1/4 (/ (- (* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (* -2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (- (* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (* -2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))) (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (- (* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (* -2 (pow (log (/ 1 N)) 3)))) (* (pow N 2) (pow (log (/ 1 N)) 4)))))))
(- (+ (* -1/2 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (* N (log (/ 1 N))))) (+ (* 1/4 (/ (+ 1 (+ (* 2 (log (/ 1 N))) (* (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (- (* -2/3 (log (/ 1 N))) 1)))) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* (+ 1 (log (/ 1 N))) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (* 1/4 (/ (- (* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (* -2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 2)))))) (+ (* -1 (/ (- (* -1/2 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (log (/ 1 N)))) (* -1/4 (/ (- (* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (* -2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* (+ 1 (log (/ 1 N))) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))))) (pow (log (/ 1 N)) 2))) (+ (* -1 (/ (- (* -1/2 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (log (/ 1 N)))) (* -1/4 (/ (- (* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (* -2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3)))) (log (/ 1 N)))) (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (- (* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (* -2 (pow (log (/ 1 N)) 3)))) (pow (log (/ 1 N)) 4))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/4 (/ (- (* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (* -2 (pow (log (/ 1 N)) 3))) (* N (pow (log (/ 1 N)) 3)))) (+ (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (- (* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (* -2 (pow (log (/ 1 N)) 3)))) (* (pow N 2) (pow (log (/ 1 N)) 4)))) (+ (* 1/16 (/ (* (- (* -4/3 (log (/ 1 N))) 1) (- (* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (* -2 (pow (log (/ 1 N)) 3)))) (* (pow N 3) (pow (log (/ 1 N)) 4)))) (* 1/4 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (- (* -1/2 (/ (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (log (/ 1 N)))) (* -1/4 (/ (- (* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (* -2 (pow (log (/ 1 N)) 3))) (pow (log (/ 1 N)) 3))))) (* (pow N 3) (pow (log (/ 1 N)) 2))))))))))
(pow N 4)
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(- (* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (* -2 (pow (log (/ 1 N)) 3)))
(- (+ (* -2 (/ (* (log (/ 1 N)) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) N)) (* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))))) (* -2 (pow (log (/ 1 N)) 3)))
(- (+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) N)) (+ (* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (/ (* (+ 1 (log (/ 1 N))) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (pow N 2))))) (* -2 (pow (log (/ 1 N)) 3)))
(- (+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) N)) (+ (* 2 (/ (log (/ 1 N)) (pow N 3))) (+ (* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (+ (/ 1 (pow N 3)) (+ (/ (* (+ 1 (log (/ 1 N))) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (pow N 2)) (/ (* (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3)))))))) (* -2 (pow (log (/ 1 N)) 3)))
(* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))))
(+ (* -2 (/ (* (log (/ 1 N)) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) N)) (+ (* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (/ (pow (log (/ 1 N)) 2) N)))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) N)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (+ (/ (* (+ 1 (log (/ 1 N))) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (pow N 2)) (/ (pow (log (/ 1 N)) 2) N))))))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) N)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 3))) (+ (* (pow (log (/ 1 N)) 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (+ (/ 1 (pow N 3)) (+ (/ (* (+ 1 (log (/ 1 N))) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) (pow N 2)) (+ (/ (* (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3)) (/ (pow (log (/ 1 N)) 2) N))))))))))
(/ -1/3 N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(/ -1/8 (pow N 6))
(/ (- (* 1/4 (/ 1 N)) 1/8) (pow N 6))
(/ (- (* 1/4 (/ 1 N)) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 6))
(/ (- (+ (* 1/4 (/ 1 N)) (* 31/108 (/ 1 (pow N 3)))) (+ 1/8 (/ 17/48 (pow N 2)))) (pow N 6))
(/ 1/4 (pow N 4))
(/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 4))
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (* 1/3 (/ 1 N))) (pow N 4))
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (+ (* 1/3 (/ 1 N)) (* 1/6 (/ 1 (pow N 3))))) (pow N 4))
(* 4 (pow (log (/ 1 N)) 2))
(+ (* -4 (/ (log (/ 1 N)) N)) (* 4 (pow (log (/ 1 N)) 2)))
(+ (* -4 (/ (log (/ 1 N)) N)) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))
(- (+ (* -4 (/ (log (/ 1 N)) N)) (+ (* -4/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))) (/ 1 (pow N 3)))
(pow (log (/ 1 N)) 2)
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 3)))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (pow N 3)))
(/ (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))) (pow N 2))
(/ (+ 1 (* -1 (/ (- (+ (/ 1/12 (pow N 2)) (* 1/12 (/ 1 N))) 1/2) N))) (pow N 2))
(* -1 (/ (- (* 1/8 (/ 1 (pow N 3))) 1) (pow N 3)))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/8) (pow N 3))) 1) (pow N 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 17/48 (/ 1 N)) 1/4) N)) 1/8) (pow N 3))) 1) (pow N 3)))
(/ (- (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(- (+ (* -1 (/ (- (* -2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* -2 (/ (- (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* -1 (/ (- (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (+ (* -2 (/ (- (* -2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* -2 (/ (- (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ (* (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (- (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) N))) (* -2 (/ (- (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (log (/ -1 N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (+ (/ (log -1) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (+ (* -2 (/ (- (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (+ (* -2 (/ (- (* -2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* -2 (/ (- (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ (* (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (- (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (/ (* (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (- (* -2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* -2 (/ (- (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)) (/ (* (+ 1 (* -2/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (- (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))))) N)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (/ (- (* -2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* -2 (/ (- (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ (* (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (- (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) N))) (* -2 (/ (- (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(- (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(- (+ (* 2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(- (+ (* -1 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) (* -1 (/ (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) N))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(- (+ (* -1 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))))) N)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))))) N))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))
(+ (* -1 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))))
(+ (* -1 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))))
(+ (* -1 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -1 (/ (+ (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)))))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))))))) N)) (+ (* -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)))))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/ (- (* -1 (/ (- (* 17/48 (/ 1 N)) 1/4) N)) 1/8) (pow N 6))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 31/108 (/ 1 N)) 17/48) N)) 1/4) N)) 1/8) (pow N 6))
(/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 4))
(/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 4))
(pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)
(+ (* 2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(+ (* -1 (/ (+ (* -2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(+ (* -1 (/ (+ (* -2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -2/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)))) N))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(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))

Calls

3 calls:

Time

Variable

Point

Expression

46.0ms

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

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

9.0ms

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

simplify195.0ms (2.4%)

Memory

27.8MiB live, 214.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	772	5023
1	2349	4441
2	7902	4437
0	8613	4244

Stop Event

1×	iter limit
1×	node limit

Counts

160 → 159

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))
(+ 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
(+ 1 N)
(/ 1/4 (pow N 5))
(/ (+ 1/4 (* -1/3 N)) (pow N 5))
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 5))
(/ 1/16 (pow N 8))
(/ (+ 1/16 (* -1/6 N)) (pow N 8))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 8))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 8))
(/ -1/64 (pow N 12))
(/ (- (* 1/16 N) 1/64) (pow N 12))
(/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 12))
(/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 12))
(/ -1 (pow N 3))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (* -1 (/ (- (* 2/3 (log N)) 1) (log N))) (* 2 (/ (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))) (log N))))))) (/ 1 (log N)))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
N
(* N (+ 1 (pow N 3)))
(* -1 (pow (log N) 3))
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(- (+ (* 2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(- (+ (* -1 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) (* -1 (/ (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) N))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(- (+ (* -1 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))))) N)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))))) N))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))
(+ (* -1 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))))
(+ (* -1 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))))
(+ (* -1 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -1 (/ (+ (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)))))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))))))) N)) (+ (* -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)))))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/ (- (* -1 (/ (- (* 17/48 (/ 1 N)) 1/4) N)) 1/8) (pow N 6))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 31/108 (/ 1 N)) 17/48) N)) 1/4) N)) 1/8) (pow N 6))
(/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 4))
(/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 4))
(pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)
(+ (* 2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(+ (* -1 (/ (+ (* -2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(+ (* -1 (/ (+ (* -2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -2/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)))) N))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))

Outputs
(/ -1/4 (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)))
(+ 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
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(/ 1/4 (pow N 5))
(/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 5 binary64)))
(/ (+ 1/4 (* -1/3 N)) (pow N 5))
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (pow.f64 N #s(literal 5 binary64)))
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 5))
(/.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 5 binary64)))
(/ 1/16 (pow N 8))
(/.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal 8 binary64)))
(/ (+ 1/16 (* -1/6 N)) (pow N 8))
(/.f64 (fma.f64 #s(literal -1/6 binary64) N #s(literal 1/16 binary64)) (pow.f64 N #s(literal 8 binary64)))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 8))
(/.f64 (fma.f64 (fma.f64 #s(literal 13/36 binary64) N #s(literal -1/6 binary64)) N #s(literal 1/16 binary64)) (pow.f64 N #s(literal 8 binary64)))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 8))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) N #s(literal 13/36 binary64)) N #s(literal -1/6 binary64)) N #s(literal 1/16 binary64)) (pow.f64 N #s(literal 8 binary64)))
(/ -1/64 (pow N 12))
(/.f64 #s(literal -1/64 binary64) (pow.f64 N #s(literal 12 binary64)))
(/ (- (* 1/16 N) 1/64) (pow N 12))
(/.f64 (fma.f64 #s(literal 1/16 binary64) N #s(literal -1/64 binary64)) (pow.f64 N #s(literal 12 binary64)))
(/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 12))
(/.f64 (fma.f64 (fma.f64 #s(literal -17/96 binary64) N #s(literal 1/16 binary64)) N #s(literal -1/64 binary64)) (pow.f64 N #s(literal 12 binary64)))
(/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 12))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/108 binary64) N #s(literal -17/96 binary64)) N #s(literal 1/16 binary64)) N #s(literal -1/64 binary64)) (pow.f64 N #s(literal 12 binary64)))
(/ -1 (pow N 3))
(/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(-.f64 (fma.f64 (*.f64 N N) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (log.f64 N)) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) N) (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (* -1 (/ (- (* 2/3 (log N)) 1) (log N))) (* 2 (/ (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))) (log N))))))) (/ 1 (log N)))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 N) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (log.f64 N)) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) (log.f64 N)) #s(literal 2 binary64) (-.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 N) #s(literal -1 binary64)) (log.f64 N)))) (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (log.f64 N)) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N)))) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
N
(* N (+ 1 (pow N 3)))
(+.f64 (pow.f64 N #s(literal 4 binary64)) N)
(* -1 (pow (log N) 3))
(pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))
(- (* -1 (* N (pow (log N) 2))) (pow (log N) 3))
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (neg.f64 N) (log.f64 N)))
(- (* N (- (* N (- (log N) (* -1/2 (pow (log N) 2)))) (pow (log N) 2))) (pow (log N) 3))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.f64 N)) N (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)))
(- (* N (- (* N (- (+ (log N) (* N (- (+ 1 (* -1 (log N))) (* 1/3 (pow (log N) 2))))) (* -1/2 (pow (log N) 2)))) (pow (log N) 2))) (pow (log N) 3))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (log.f64 N))) N (log.f64 N))) N (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)))
(* (pow N 2) (log N))
(.f64 (.f64 (log.f64 N) N) N)
(* (pow N 2) (+ (log N) (* N (+ 1 (* -1 (log N))))))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) N (log.f64 N)) (.f64 N N))
(* (pow N 2) (+ (log N) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 11/12 (log N)) 3/2)))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 11/12 binary64) (log.f64 N) #s(literal -3/2 binary64)) N (-.f64 #s(literal 1 binary64) (log.f64 N))) N (log.f64 N)) (.f64 N N))
(* (pow N 2) (+ (log N) (* N (+ 1 (+ (* -1 (log N)) (* N (- (+ (* 11/12 (log N)) (* N (+ 7/4 (* -5/6 (log N))))) 3/2)))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/6 binary64) (log.f64 N) #s(literal 7/4 binary64)) N (fma.f64 #s(literal 11/12 binary64) (log.f64 N) #s(literal -3/2 binary64))) N (-.f64 #s(literal 1 binary64) (log.f64 N))) N (log.f64 N)) (.f64 N N))
(/ 1/4 (pow N 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N)
(/ 1/4 N)
(/.f64 #s(literal 1/4 binary64) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N)
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/3 N))) 1/6))) (pow N 8))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 13/36 binary64)) N #s(literal -1/6 binary64)) N #s(literal 1/16 binary64)) (pow.f64 N #s(literal 8 binary64)))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(+ (* 2 (* N (log N))) (pow (log N) 2))
(*.f64 (log.f64 N) (fma.f64 #s(literal 2 binary64) N (log.f64 N)))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (* -1 (log N)))))) (pow (log N) 2))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) N (*.f64 #s(literal 2 binary64) (log.f64 N))) N (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 2/3 (log N)) 1))))))) (pow (log N) 2))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 N) #s(literal -1 binary64)) N (-.f64 #s(literal 1 binary64) (log.f64 N))) N (*.f64 #s(literal 2 binary64) (log.f64 N))) N (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (* -1 N)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) N) N) N)
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 11/12 binary64) N #s(literal -1 binary64)) N #s(literal 1 binary64)) N) N)
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(.f64 (.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)) N) 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 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)
(* N (+ 1 (* 1/2 (/ 1 N))))
(+.f64 #s(literal 1/2 binary64) N)
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/2 binary64)) N)) N)
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N)) #s(literal 1 binary64)) N)
(- 1 (* 1/2 (/ 1 N)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)
(+ 1 (/ 1 N))
(+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(/ 1/2 (pow N 3))
(/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- 1/2 (* 1/3 (/ 1 N))) (pow N 3))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) (pow N 3))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ 1 (pow N 2))
(/.f64 (/.f64 #s(literal 1 binary64) N) N)
(/ (+ 1 (* 1/2 (/ 1 N))) (pow N 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N) N)
(/ (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))) (pow N 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/2 binary64)) N)) (*.f64 N N))
(/ (+ 1 (+ (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) (pow N 2))) (* 1/2 (/ 1 N)))) (pow N 2))
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(- (+ (* 2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
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(- (+ (* -1 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) (* -1 (/ (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) N))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
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(* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))
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(fma.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) (/.f64 (fma.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (neg.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (neg.f64 N)))
(+ (* -1 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))))
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(+ (* -1 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -1 (/ (+ (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)))))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))))))) N)) (+ (* -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)))))) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (- (* -4 (log (/ -1 N))) (* -2 (log (/ -1 N))))))
(fma.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) (/.f64 (fma.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (-.f64 (/.f64 (-.f64 (fma.f64 (.f64 (-.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))) #s(literal -2 binary64) (fma.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 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (/.f64 (+.f64 (-.f64 (fma.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) (fma.f64 (*.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)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 1 binary64) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))) N)) (neg.f64 N)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) (neg.f64 N)))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (neg.f64 N))
(/ (- (* -1 (/ (- (* 17/48 (/ 1 N)) 1/4) N)) 1/8) (pow N 6))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 17/48 binary64) N) #s(literal 1/4 binary64)) N) #s(literal -1 binary64) #s(literal -1/8 binary64)) (pow.f64 N #s(literal 6 binary64)))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 31/108 (/ 1 N)) 17/48) N)) 1/4) N)) 1/8) (pow N 6))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 31/108 binary64) N) #s(literal 17/48 binary64)) N) #s(literal -1 binary64) #s(literal -1/4 binary64)) N) #s(literal -1 binary64) #s(literal -1/8 binary64)) (pow.f64 N #s(literal 6 binary64)))
(/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 4))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 13/36 binary64) N)) N)) (pow.f64 N #s(literal 4 binary64)))
(/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 4))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 13/36 binary64) (/.f64 #s(literal 1/6 binary64) N)) N)) N)) (pow.f64 N #s(literal 4 binary64)))
(pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)
(pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64))
(+ (* 2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(fma.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 #s(literal 2 binary64) N)) #s(literal 2 binary64) (pow.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(-.f64 (pow.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 4 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal -4 binary64))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) #s(literal 1 binary64)) N)) N))
(+ (* -1 (/ (+ (* -2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -2/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)))) N))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(-.f64 (pow.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 4 binary64) (.f64 (log.f64 #s(literal -1 binary64)) #s(literal -4 binary64))) (/.f64 (-.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4/3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -4/3 binary64) #s(literal 1 binary64))) N)) N)) N))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 #s(literal 2 binary64) N) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 1 binary64) #s(literal -1 binary64)) N)) N))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (fma.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 (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)) N)) (neg.f64 N))) N))

rewrite204.0ms (2.5%)

Memory

-31.7MiB live, 215.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	474
0	112	464
1	481	414
2	3784	410
0	8336	406

Stop Event

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

Counts

28 → 760

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

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

eval203.0ms (2.5%)

Memory: 13.7MiB live, 404.7MiB allocated
Compiler: Compiled 69 397 to 5 784 computations (91.7% saved)

prune47.0ms (0.6%)

Memory

16.2MiB live, 140.3MiB allocated

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	1 211	8	1 219
Fresh	7	21	28
Picked	4	1	5
Done	0	2	2
Total	1 222	32	1 254

Accuracy

99.9%

Counts

1 254 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.3%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
	23.2%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
	24.4%	(/.f64 (fma.f64 (log1p.f64 N) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) #s(literal -1 binary64))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))))
	23.0%	(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -3 binary64))))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))))))
	22.3%	(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (log1p.f64 N))) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N))))
	22.6%	(/.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 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N))))
▶	22.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	22.7%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 (fma.f64 (.f64 N N) (.f64 N N) N)) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	22.7%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 (.f64 N (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))))
▶	20.0%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) #s(approx (log (+ 1 N)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N)) (log.f64 N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))) #s(literal 2 binary64)))
	22.4%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
	20.0%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) #s(literal 2 binary64)))
	22.5%	(/.f64 (-.f64 (.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (+.f64 (log.f64 N) (log1p.f64 N))))
	22.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)))
	22.7%	(-.f64 (log1p.f64 N) (log.f64 N))
	25.4%	(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) N)))
	22.6%	(*.f64 (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)))
	21.6%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N #s(literal -1 binary64))))))))
	24.9%	(neg.f64 (+.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))))))
▶	25.7%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))
✓	25.1%	(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
✓	25.1%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	96.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N N) (*.f64 N N)))
	92.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) #s(literal 2 binary64)) (pow.f64 (neg.f64 N) #s(literal -2 binary64))) (+.f64 (/.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 #s(literal -1 binary64) N))))
	95.6%	#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))
	96.8%	#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))
▶	93.7%	#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 #s(literal 1/2 binary64) N))))
▶	97.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (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)))))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal 1/2 binary64)) N)) N))))
✓	85.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	96.7%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))
	96.4%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))

Compiler

Compiled 2 037 to 1 103 computations (45.9% saved)

simplify308.0ms (3.8%)

Memory

-0.1MiB live, 156.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))
cost-diff	0	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) #s(approx (log (+ 1 N)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N)) (log.f64 N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))) #s(literal 2 binary64)))
cost-diff	1	(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N)) (log.f64 N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
cost-diff	6	(-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
cost-diff	0	(log1p.f64 N)
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
cost-diff	0	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
cost-diff	0	(/.f64 N (+.f64 N #s(literal 1 binary64)))
cost-diff	0	(log.f64 (/.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))
cost-diff	2	(/.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(literal 1/2 binary64) N)
cost-diff	0	#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N)))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (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	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) #s(literal -1 binary64) #s(literal -1 binary64))
cost-diff	5	(*.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: 0 (0.0ms)

Iter	Nodes	Cost
0	71	617
0	114	607
1	206	595
2	441	586
3	1088	586
4	3178	570
5	6973	570
0	8053	565

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

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

localize472.0ms (5.8%)

Memory

-26.0MiB live, 255.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5215225586106522	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	0.5221863281475362	(pow.f64 (+.f64 (log.f64 N) #s(approx (log (+ 1 N)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N)) (log.f64 N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))) #s(literal 2 binary64))
accuracy	1.901471520192443	#s(approx (log (+ 1 N)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N)) (log.f64 N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
accuracy	49.15987630411618	(-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
accuracy	0.5137100586106521	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.9583705568011958	(pow.f64 (log.f64 N) #s(literal 4 binary64))
accuracy	0.9593280274958697	(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
accuracy	48.786992777784526	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
accuracy	0.0	(+.f64 N #s(literal 1 binary64))
accuracy	0.0	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))
accuracy	0.00390625	(/.f64 N (+.f64 N #s(literal 1 binary64)))
accuracy	47.52485218192251	(log.f64 (/.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy	0.0	(+.f64 #s(literal 1/2 binary64) N)
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N)))
accuracy	2.005051544433952	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N))))
accuracy	4.050287023094898	#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N))
accuracy	0.30078125	(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)
accuracy	0.3515625	(/.f64 #s(literal 1/24 binary64) N)
accuracy	2.0027188002517105	#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	2.005051544433952	#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

250.0ms	196×	1	valid
26.0ms	60×	0	valid

Compiler

Compiled 500 to 63 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

ival-div: 49.0ms (24.4% of total)

adjust: 23.0ms (11.5% of total)

ival-add: 23.0ms (11.5% of total)

ival-mult: 22.0ms (11% of total)

ival-sub: 18.0ms (9% of total)

ival-log: 16.0ms (8% of total)

const: 14.0ms (7% of total)

ival-pow2: 12.0ms (6% of total)

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

ival-log1p: 9.0ms (4.5% of total)

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

exact: 1.0ms (0.5% of total)

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

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

series134.0ms (1.6%)

Memory

8.5MiB live, 87.1MiB allocated

Counts

29 → 175

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 (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N)))
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N))
(+.f64 #s(literal 1/2 binary64) N)
(/.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))
(log.f64 (/.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 N (+.f64 N #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (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))
(log1p.f64 N)
(-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N)) (log.f64 N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) #s(approx (log (+ 1 N)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N)) (log.f64 N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))
#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)
(+.f64 N #s(literal 1 binary64))
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
#s(approx (log (+ 1 N)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N)) (log.f64 N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(pow.f64 (+.f64 (log.f64 N) #s(approx (log (+ 1 N)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N)) (log.f64 N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))) #s(literal 2 binary64))
(pow.f64 (log.f64 N) #s(literal 2 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))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(* -4 (pow N 4))
(* (pow N 4) (- (* -16/3 N) 4))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
1/2
(+ 1/2 N)
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- N 1))))
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ (log N) (* -1/2 (pow (log N) 2))) (pow (log N) 2))) (/ 1 (log N))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (+ (* -1 (log N)) (* 1/3 (pow (log N) 2)))) (pow (log N) 2))) (+ (* -1 (/ (+ (* -1 (/ (+ (log N) (* -1/2 (pow (log N) 2))) (pow (log N) 2))) (/ 1 (log N))) (log N))) (/ 1 (pow (log N) 2)))))) (+ (* -1 (/ (+ (log N) (* -1/2 (pow (log N) 2))) (pow (log N) 2))) (/ 1 (log N))))))))
(* -1 (pow (log N) 4))
(- (pow N 4) (pow (log N) 4))
(- (* (pow N 4) (+ 1 (* -2 N))) (pow (log N) 4))
(- (* (pow N 4) (+ 1 (* N (- (* 17/6 N) 2)))) (pow (log N) 4))
(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))))
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
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Calls

3 calls:

Time

Variable

Point

Expression

87.0ms

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

32.0ms

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

10.0ms

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

simplify257.0ms (3.1%)

Memory

17.7MiB live, 129.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1013	8467
1	3232	7691
0	8885	7255

Stop Event

1×	iter limit
1×	node limit

Counts

175 → 174

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))
(* -4 (pow N 4))
(* (pow N 4) (- (* -16/3 N) 4))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
1/2
(+ 1/2 N)
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- N 1))))
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ (log N) (* -1/2 (pow (log N) 2))) (pow (log N) 2))) (/ 1 (log N))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (+ (* -1 (log N)) (* 1/3 (pow (log N) 2)))) (pow (log N) 2))) (+ (* -1 (/ (+ (* -1 (/ (+ (log N) (* -1/2 (pow (log N) 2))) (pow (log N) 2))) (/ 1 (log N))) (log N))) (/ 1 (pow (log N) 2)))))) (+ (* -1 (/ (+ (log N) (* -1/2 (pow (log N) 2))) (pow (log N) 2))) (/ 1 (log N))))))))
(* -1 (pow (log N) 4))
(- (pow N 4) (pow (log N) 4))
(- (* (pow N 4) (+ 1 (* -2 N))) (pow (log N) 4))
(- (* (pow N 4) (+ 1 (* N (- (* 17/6 N) 2)))) (pow (log N) 4))
(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))))
(* 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 (pow (log N) 3))
(- (* -1 (* N (pow (log N) 2))) (pow (log N) 3))
(- (* N (- (* N (- (log N) (* -1/2 (pow (log N) 2)))) (pow (log N) 2))) (pow (log N) 3))
(- (* N (- (* N (- (+ (log N) (* N (- (+ 1 (* -1 (log N))) (* 1/3 (pow (log N) 2))))) (* -1/2 (pow (log N) 2)))) (pow (log N) 2))) (pow (log N) 3))
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ (+ 1/3 (* N (- (* N (+ 1 (* N (log N)))) 1/2))) (pow N 3))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (* -1 (/ (- (* 2/3 (log N)) 1) (log N))) (* 2 (/ (- (+ 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N))))) (log N))))))) (/ 1 (log N)))) (+ (* -1 (/ (+ 1 (* -1 (log N))) (log N))) (* 2 (/ 1 (log N)))))))))
(* (pow N 2) (log N))
(* (pow N 2) (+ (log N) (* N (+ 1 (* -1 (log N))))))
(* (pow N 2) (+ (log N) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 11/12 (log N)) 3/2)))))))
(* (pow N 2) (+ (log N) (* N (+ 1 (+ (* -1 (log N)) (* N (- (+ (* 11/12 (log N)) (* N (+ 7/4 (* -5/6 (log N))))) 3/2)))))))
(/ 1/24 N)
(/ -1/24 (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
1
(+ 1 N)
(pow (log N) 4)
(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) 2)
(+ (* 2 (* N (log N))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (* -1 (log N)))))) (pow (log N) 2))
(+ (* N (+ (* 2 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* N (- (* 2/3 (log N)) 1))))))) (pow (log N) 2))
(* 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 (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))
(/ -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 (* -1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 3))))) (* -1/4 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 3))))) N)
(/ (- (+ 1 (+ (* -1/4 (/ (+ (* -4 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* 2 (* (pow (log (/ 1 N)) 2) (- (* -2/3 (log (/ 1 N))) 1)))) (* (pow N 2) (pow (log (/ 1 N)) 3)))) (* -1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 3)))))) (+ (* -1/4 (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (- (* -1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 3))) (* -1/4 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 3))))) (* (pow N 2) (pow (log (/ 1 N)) 3)))) (+ (* -1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (pow (log (/ 1 N)) 3)))) (* -1/4 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 3))))))) N)
(/ (- (+ 1 (+ (* -1/4 (/ (+ (* -4 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* 2 (* (pow (log (/ 1 N)) 2) (- (* -2/3 (log (/ 1 N))) 1)))) (* (pow N 2) (pow (log (/ 1 N)) 3)))) (+ (* -1/4 (/ (+ (* -4 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 11/12 (* 1/2 (log (/ 1 N)))))) (pow (+ 1 (log (/ 1 N))) 2))) (* (pow N 3) (pow (log (/ 1 N)) 3)))) (* -1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 3))))))) (+ (* -1/4 (/ (* (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1 (pow (log (/ 1 N)) 2)))) (- (* -1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 3))) (* -1/4 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 3))))) (* (pow N 3) (pow (log (/ 1 N)) 3)))) (+ (* -1/4 (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (- (* -1/4 (/ (+ (* -4 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* 2 (* (pow (log (/ 1 N)) 2) (- (* -2/3 (log (/ 1 N))) 1)))) (pow (log (/ 1 N)) 3))) (+ (* -1/4 (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (- (* -1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 3))) (* -1/4 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 3))))) (pow (log (/ 1 N)) 3))) (* -1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1 (pow (log (/ 1 N)) 2)))) (pow (log (/ 1 N)) 3)))))) (* (pow N 3) (pow (log (/ 1 N)) 3)))) (+ (* -1/4 (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (- (* -1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 3))) (* -1/4 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 3))))) (* (pow N 2) (pow (log (/ 1 N)) 3)))) (+ (* -1/4 (/ (+ 1 (+ (* -2 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (+ (* 2/3 (pow (log (/ 1 N)) 2)) (* 2 (log (/ 1 N)))))) (* (pow N 3) (pow (log (/ 1 N)) 3)))) (+ (* -1/4 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (pow (log (/ 1 N)) 3)))) (* -1/4 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 3)))))))))) N)
(* -4 (/ (pow (log (/ 1 N)) 3) N))
(/ (+ (* -4 (pow (log (/ 1 N)) 3)) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N)))) N)) (* 4 (/ (pow (log (/ 1 N)) 2) N)))) N)
(/ (+ (* -4 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -4 (pow (log (/ 1 N)) 3)) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N)))) N)) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 2))) (* 4 (/ (pow (log (/ 1 N)) 2) N)))))) N)
(/ (+ (* -4 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -4 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3))) (+ (* -4 (pow (log (/ 1 N)) 3)) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (+ 11/12 (* 1/2 (log (/ 1 N))))) (pow N 3))) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N)))) N)) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 2))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (+ 1 (log (/ 1 N))) 2) (pow N 3))))))))) N)
(pow (log (/ 1 N)) 4)
(+ (* -4 (/ (pow (log (/ 1 N)) 3) N)) (pow (log (/ 1 N)) 4))
(+ (* -4 (/ (pow (log (/ 1 N)) 3) N)) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (pow (log (/ 1 N)) 4))))
(+ (* -4 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 3))) (+ (* -4 (/ (pow (log (/ 1 N)) 3) N)) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (pow (log (/ 1 N)) 4))))))
(* -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)))
(* 4 (/ (pow (log (/ 1 N)) 2) N))
(/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (* 4 (pow (log (/ 1 N)) 2)))) N)
(/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (+ (* -2 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 2))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2))))))) N)
(/ (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2 (/ (* (log (/ 1 N)) (+ 11/12 (* 1/2 (log (/ 1 N))))) (pow N 3))) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (+ (* -2 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 2))) (+ (* -4/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))))))) (/ 1 (pow N 3))) N)
(/ (+ 1 (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (* N (pow (log (/ 1 N)) 2)))) (/ 1 (* N (log (/ 1 N)))))) N)
(/ (- (+ 1 (+ (* 1/4 (/ (+ 1 (+ (* -2 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (* 2 (log (/ 1 N))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (* N (pow (log (/ 1 N)) 2)))) (/ 1 (* N (log (/ 1 N))))))) (+ (* -1 (/ (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (pow (log (/ 1 N)) 2))) (/ 1 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (* (pow N 2) (pow (log (/ 1 N)) 2)))))) N)
(/ (- (+ 1 (+ (* 1/4 (/ (+ 1 (+ (* -2 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (* 2 (log (/ 1 N))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (* N (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (- (+ (* -2 (* (log (/ 1 N)) (+ 11/12 (* 1/2 (log (/ 1 N)))))) (+ (* -4/3 (log (/ 1 N))) (* -1/2 (+ 1 (log (/ 1 N)))))) 1) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (/ 1 (* N (log (/ 1 N)))))))) (+ (* -1 (/ (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (pow (log (/ 1 N)) 2))) (/ 1 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1 (/ (- (* 1/4 (/ (+ 1 (+ (* -2 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (* 2 (log (/ 1 N))))) (pow (log (/ 1 N)) 2))) (+ (* -1 (/ (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (pow (log (/ 1 N)) 2))) (/ 1 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (pow (log (/ 1 N)) 2))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* 1/4 (/ (+ (* -2 (log (/ 1 N))) (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))))) (pow (log (/ 1 N)) 2))) (/ 1 (log (/ 1 N))))) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (+ (* 1/4 (/ (+ 1 (* 2 (log (/ 1 N)))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (* 1/4 (/ (- (* -4/3 (log (/ 1 N))) 1) (* (pow N 3) (pow (log (/ 1 N)) 2))))))))) N)
(* -2 (pow (log (/ 1 N)) 3))
(+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N)))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N))))))
(+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -2 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3))) (+ (* -2 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ 1 (pow N 3)) (/ (pow (log (/ 1 N)) 2) N))))))))))
(/ 1/12 N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(* N (+ 1 (/ 1 N)))
(pow (log (/ 1 N)) 2)
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))
(* 4 (pow (log (/ 1 N)) 2))
(+ (* -4 (/ (log (/ 1 N)) N)) (* 4 (pow (log (/ 1 N)) 2)))
(+ (* -4 (/ (log (/ 1 N)) N)) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 4 (pow (log (/ 1 N)) 2)) (/ 1 (pow N 2)))))
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(* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))
(+ (* -1 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(+ (* -1 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(+ (* -1 (/ (+ (* -2 (* (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (+ (* -1 (/ (+ (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)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))) N)) (+ (* -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)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) 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 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)
(+ (* 2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(+ (* -1 (/ (+ (* -2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(+ (* -1 (/ (+ (* -2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -2/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)))) N))) N)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))

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

rewrite250.0ms (3.1%)

Memory

-20.4MiB live, 138.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	452
0	114	424
1	553	402
2	4692	402
0	8138	394

Stop Event

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

Counts

29 → 803

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

eval219.0ms (2.7%)

Memory: 11.3MiB live, 204.6MiB allocated
Compiler: Compiled 55 073 to 5 009 computations (90.9% saved)

prune52.0ms (0.6%)

Memory

-7.6MiB live, 116.4MiB allocated

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	1 107	7	1 114
Fresh	3	21	24
Picked	3	2	5
Done	0	3	3
Total	1 113	33	1 146

Accuracy

99.9%

Counts

1 146 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.3%	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
	23.2%	(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (.f64 (log.f64 N) (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))) (.f64 (log.f64 N) (log.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
	24.4%	(/.f64 (fma.f64 (log1p.f64 N) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) #s(literal -1 binary64))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))))
	23.0%	(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -3 binary64))))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))))))
	22.3%	(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (log1p.f64 N))) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N))))
	22.6%	(/.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 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N))))
✓	22.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	22.7%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 (fma.f64 (.f64 N N) (.f64 N N) N)) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
	22.7%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 (.f64 N (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))))
	20.0%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) #s(approx (log (+ 1 N)) #s(approx (- (+ (+ (/ 1/3 (pow N 3)) (/ 1 N)) (log N)) (/ 1/2 (* N N))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (log.f64 N) N #s(literal 1 binary64)) N #s(literal -1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))))) #s(literal 2 binary64)))
	22.4%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal 2 binary64)))
	20.0%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) #s(literal 2 binary64)))
	22.5%	(/.f64 (-.f64 (.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N)) (+.f64 (log.f64 N) (log1p.f64 N))))
	22.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)))
	22.7%	(-.f64 (log1p.f64 N) (log.f64 N))
	25.4%	(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) N)))
	22.6%	(*.f64 (pow.f64 (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
	21.6%	(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N)) (log.f64 (fma.f64 N N #s(literal -1 binary64))))))))
	24.9%	(neg.f64 (+.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))))))
✓	25.1%	(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
	25.7%	(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	25.1%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	92.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) #s(literal 2 binary64)) (pow.f64 (neg.f64 N) #s(literal -2 binary64))) (+.f64 (/.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 #s(literal -1 binary64) N))))
	95.6%	#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))
	96.8%	#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))
	93.6%	#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 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64))))))
✓	93.7%	#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 #s(literal 1/2 binary64) N))))
	97.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (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)))))
	93.7%	#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 #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)))))
	97.0%	#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)) #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))))))
✓	85.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	96.7%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))
	96.4%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))

Compiler

Compiled 3 262 to 1 073 computations (67.1% saved)

regimes33.0ms (0.4%)

Memory

13.9MiB live, 52.4MiB allocated

Counts

60 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

17.0ms	N
13.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.6%	2	`N`
99.6%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes12.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes12.0ms (0.2%)

Memory

-20.0MiB live, 19.0MiB allocated

Counts

20 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes9.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

14 → 1

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
97.0%	1	`N`
97.0%	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

9.6MiB live, 9.6MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 #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 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64))))))
#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
95.6%	1	`N`
95.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory

-33.3MiB live, 8.4MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
2.0ms	N

Results

Accuracy	Segments	Branch
93.7%	1	`N`
93.7%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
85.6%	1	`N`
85.6%	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

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00027059090070302716	0.0014802644869771342

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00027059090070302716	0.0014802644869771342

Compiler

Compiled 10 to 10 computations (0% saved)

simplify72.0ms (0.9%)

Memory

2.5MiB live, 41.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	85	252
1	149	251
2	265	250
3	580	249
4	1706	245
5	6297	245
6	7973	245

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 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))))) (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 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))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (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)) #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)) (+.f64 #s(literal 1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 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))))) (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (log (+ N 1)) (log N)) (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))) (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 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))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (log (+ N 1)) (log N)) (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))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (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)) (pow.f64 #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(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)) #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)) (pow.f64 #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(literal -1 binary64)))
#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)) (+.f64 #s(literal 1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N)) #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 N #s(literal -1 binary64)))

soundness1.2s (14.6%)

Memory

11.3MiB live, 715.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	474
0	112	464
1	481	414
2	3784	410
0	8336	406
0	1013	8467
1	3232	7691
0	8885	7255
0	71	452
0	114	424
1	553	402
2	4692	402
0	8138	394
0	772	5023
1	2349	4441
2	7902	4437
0	8613	4244
0	6	16
0	10	15
1	42	15
2	269	15
3	2628	15
0	8874	12
0	41	248
0	72	217
1	332	182
2	2663	182
0	9394	182
0	88	258
1	250	234
2	588	233
3	1601	227
4	4231	223
5	6313	223
6	7369	223
0	8152	214

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

Compiler

Compiled 455 to 241 computations (47% saved)

preprocess74.0ms (0.9%)

Memory: 15.6MiB live, 92.2MiB allocated
Compiler: Compiled 572 to 236 computations (58.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	74	16
4	122	16
5	180	16
6	204	16
7	215	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	109	7
8	158	7
9	174	7
10	182	7
0	182	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	109	18
8	158	18
9	174	18
10	182	18
0	182	14

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	74	16
4	122	16
5	180	16
6	204	16
7	215	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	109	7
8	158	7
9	174	7
10	182	7
0	182	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	109	18
8	158	18
9	174	18
10	182	18
0	182	14

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (17.1%)

explain151.0ms (1.8%)

preprocess16.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify10.0ms (0.1%)

localize39.0ms (0.5%)

series60.0ms (0.7%)

simplify163.0ms (2%)

rewrite302.0ms (3.7%)

eval104.0ms (1.3%)

prune44.0ms (0.5%)

simplify170.0ms (2.1%)

localize267.0ms (3.3%)

series71.0ms (0.9%)

simplify325.0ms (4%)

rewrite276.0ms (3.4%)

eval381.0ms (4.7%)

prune88.0ms (1.1%)

simplify132.0ms (1.6%)

localize342.0ms (4.2%)

series77.0ms (0.9%)

simplify195.0ms (2.4%)

rewrite204.0ms (2.5%)

eval203.0ms (2.5%)

prune47.0ms (0.6%)

simplify308.0ms (3.8%)

localize472.0ms (5.8%)

series134.0ms (1.6%)

simplify257.0ms (3.1%)

rewrite250.0ms (3.1%)

eval219.0ms (2.7%)

prune52.0ms (0.6%)

regimes33.0ms (0.4%)

regimes12.0ms (0.1%)

regimes12.0ms (0.2%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify72.0ms (0.9%)

soundness1.2s (14.6%)

preprocess74.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	74	16
4	122	16
5	180	16
6	204	16
7	215	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	109	7
8	158	7
9	174	7
10	182	7
0	182	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	109	18
8	158	18
9	174	18
10	182	18
0	182	14