Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample1.8s (20.7%)

Memory

0.9MiB live, 1 420.9MiB allocated

Samples

1.1s	6 470×	1	valid
119.0ms	1 786×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-log1p: 434.0ms (42.6% of total)

ival-log: 279.0ms (27.4% of total)

adjust: 120.0ms (11.8% of total)

ival-sub: 98.0ms (9.6% of total)

ival->: 45.0ms (4.4% of total)

ival-<: 17.0ms (1.7% of total)

ival-and: 12.0ms (1.2% of total)

exact: 11.0ms (1.1% of total)

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

Bogosity

explain115.0ms (1.3%)

Memory

13.8MiB live, 138.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
244	1	(55.53163335632648)	-	`(-.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	245	0

Confusion

	Predicted +	Predicted -
+	244	0
-	1	11

Precision

0.9959183673469387

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	244	0	0
-	1	0	11

Precision?

0.9959183673469387

Recall?

1.0

Freqs

test

number	freq
0	11
1	245

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

59.0ms	406×	1	valid
6.0ms	106×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-log: 17.0ms (35% of total)

ival-log1p: 14.0ms (28.8% of total)

adjust: 9.0ms (18.5% of total)

ival-sub: 6.0ms (12.3% of total)

ival-add: 2.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess21.0ms (0.2%)

Memory

-16.1MiB live, 21.5MiB 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

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.8%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB 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)

localize37.0ms (0.4%)

Memory

27.9MiB live, 27.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 N #s(literal 1 binary64))
accuracy	0.0	(log.f64 N)
accuracy	0.01171875	(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	49.42907839577704	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

27.0ms	203×	1	valid
3.0ms	53×	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 (36.2% of total)

ival-log: 6.0ms (27.1% of total)

adjust: 4.0ms (18.1% 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)

series88.0ms (1%)

Memory

4.8MiB live, 78.6MiB 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
59.0ms	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))
11.0ms	N	@	inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))

simplify201.0ms (2.3%)

Memory

-15.2MiB live, 100.0MiB 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)

rewrite205.0ms (2.4%)

Memory

6.9MiB live, 207.2MiB 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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(-.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)

eval141.0ms (1.6%)

Memory: -3.1MiB live, 121.3MiB allocated
Compiler: Compiled 12 538 to 1 566 computations (87.5% saved)

prune18.0ms (0.2%)

Memory

9.9MiB live, 47.3MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	431	16	447
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	432	16	448

Accuracy

99.5%

Counts

448 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.7%	(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)))))
	22.7%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.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 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))))
▶	22.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))) (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
▶	22.6%	(/.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)))
	22.9%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 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))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
	22.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
	22.8%	(/.f64 (-.f64 (.f64 #s(literal 1 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))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
	22.4%	(-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 N) (log.f64 (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (-.f64 N #s(literal 1 binary64))))
	25.6%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
▶	25.2%	(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
	25.2%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	22.8%	(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
	94.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
▶	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
	91.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	85.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 860 to 382 computations (55.6% saved)

simplify147.0ms (1.7%)

Memory

-5.5MiB live, 196.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 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	(pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)))
cost-diff	42	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))) (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
cost-diff	0	(log1p.f64 N)
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
cost-diff	10	(/.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)))
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: 5 (0.0ms)

Iter	Nodes	Cost
0	42	362
0	74	326
1	121	326
2	223	317
3	527	311
4	1377	295
5	4636	291
0	8250	291

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

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

localize204.0ms (2.4%)

Memory

-5.1MiB live, 235.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.5309562988422102	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	0.5381050293053261	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.5442962890737681	(pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))
accuracy	48.832503494191506	(-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)))
accuracy	0.35775375976844204	(/.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)))
accuracy	0.5309562988422102	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	0.5381050293053261	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	49.27768821456745	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
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	0.01953125	(*.f64 (-.f64 N #s(literal 1 binary64)) N)
accuracy	0.17873002930532605	(/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))
accuracy	47.461540477427945	(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	9.568687570179573	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy	0.1015625	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
accuracy	0.109375	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.3515625	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.80944432251788	#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

141.0ms	195×	1	valid
18.0ms	61×	0	valid

Compiler

Compiled 412 to 41 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-div: 28.0ms (23.4% of total)

ival-pow2: 16.0ms (13.4% of total)

ival-log: 16.0ms (13.4% of total)

adjust: 14.0ms (11.7% of total)

ival-sub: 14.0ms (11.7% of total)

ival-log1p: 9.0ms (7.5% of total)

const: 7.0ms (5.9% of total)

ival-mult: 7.0ms (5.9% of total)

ival-add: 6.0ms (5% of total)

ival-neg: 2.0ms (1.7% of total)

exact: 1.0ms (0.8% of total)

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

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

series108.0ms (1.3%)

Memory

0.5MiB live, 78.7MiB allocated

Counts

22 → 160

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)
(/.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)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(log1p.f64 N)
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))) (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
(-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.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)))
(/.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))
(pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.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 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(* -1 (pow (log N) 2))
(- (pow N 2) (pow (log N) 2))
(- (* (pow N 2) (+ 1 (* -1 N))) (pow (log N) 2))
(- (* (pow N 2) (+ 1 (* N (- (* 11/12 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))))
(* 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 (+ 1 (* -1 (* N (+ 1 (+ (* -1 (+ 1/2 (* 2 (/ 1 (log N))))) (* 2 (/ 1 (log N))))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (+ 1/3 (+ (* -2 (/ (+ 1 (* -1 (log N))) (pow (log N) 2))) (* 2 (/ (- 3 (* -1 (log N))) (pow (log N) 2))))) (+ (* -1 (/ (+ 1/2 (* 2 (/ 1 (log N)))) (log N))) (+ (* 3/2 (/ 1 (log N))) (+ (* 2 (/ 1 (pow (log N) 2))) (+ (* 3 (/ 1 (log N))) (* 4 (/ 1 (pow (log N) 2))))))))) (+ 1 (+ (* -1 (+ 1/2 (* 2 (/ 1 (log N))))) (* 2 (/ 1 (log N))))))))))
(- (* 2 (* N (log N))) (pow (log N) 2))
(- (* N (+ (* 2 (log N)) (* N (- (* -1 (log N)) 3)))) (pow (log N) 2))
(- (* N (+ (* 2 (log N)) (* N (- (+ (* -1 (log N)) (* N (- (+ (* -2 (/ (+ 1 (* -1 (log N))) (log N))) (+ (* 2/3 (log N)) (* 2 (/ (- 3 (* -1 (log N))) (log N))))) 1))) 3)))) (pow (log N) 2))
(/ (pow N 4) (pow (log N) 2))
(* (pow N 4) (+ (* -1 (* N (+ (* 2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3)))))) (/ 1 (pow (log N) 2))))
(* (pow N 4) (+ (* N (- (* N (- (+ (* 17/6 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (+ (* -2 (/ (+ (* 2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3)))) (log N))) (/ 1 (pow (log N) 4))))) (+ (* 2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3)))))) (/ 1 (pow (log N) 2))))
(* (pow N 4) (+ (* N (- (* N (- (+ (* 17/6 (/ 1 (pow (log N) 2))) (+ (* N (- (/ 1 (pow (log N) 4)) (+ (* -1 (/ (* (+ 1 (* -1 (log N))) (+ (* 2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))) (pow (log N) 2))) (+ (* 2/3 (/ 1 (pow (log N) 3))) (+ (* 2 (/ (- (+ (* 17/6 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (+ (* -2 (/ (+ (* 2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3)))) (log N))) (/ 1 (pow (log N) 4)))) (log N))) (* 7/2 (/ 1 (pow (log N) 2)))))))) (/ 1 (pow (log N) 3)))) (+ (* -2 (/ (+ (* 2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3)))) (log N))) (/ 1 (pow (log N) 4))))) (+ (* 2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3)))))) (/ 1 (pow (log N) 2))))
(/ (pow N 2) (log N))
(* (pow N 2) (+ (* -1 (* N (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 11/12 (/ 1 (log N)))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (+ (* 11/12 (/ 1 (log N))) (* N (- (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))) (+ (* 5/6 (/ 1 (log N))) (* 11/12 (/ 1 (pow (log N) 2))))))))))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(/ 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)
(+ (* -2 (* N (log N))) (pow (log N) 2))
(+ (* N (- (* N (- 3 (* -1 (log N)))) (* 2 (log N)))) (pow (log N) 2))
(+ (* N (- (* N (- (+ 3 (* N (- 1 (+ (* -2 (/ (+ 1 (* -1 (log N))) (log N))) (+ (* 2/3 (log N)) (* 2 (/ (- 3 (* -1 (log N))) (log N)))))))) (* -1 (log N)))) (* 2 (log N)))) (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 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N))))))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 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 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N))))))))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)
(* -2 (/ (log (/ 1 N)) N))
(/ (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (/ (log (/ 1 N)) N))) N)
(/ (- (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N)))) (/ 1 (pow N 2))) N)
(/ (- (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 N) (+ (* 11/12 (/ 1 (pow N 3))) (/ (log (/ 1 N)) N)))))) (/ 1 (pow 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 (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 (+ (* -1 (/ (- (* 1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (+ 1/4 (* -1 (/ (- (* -1 (log (/ 1 N))) (* -1/4 (log (/ 1 N)))) (log (/ 1 N)))))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)
(/ (- (+ 1 (+ (* -1 (/ (- (* 1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (+ 1/4 (* -1 (/ (- (* -1 (log (/ 1 N))) (* -1/4 (log (/ 1 N)))) (log (/ 1 N)))))) (* N (log (/ 1 N))))) (+ (* -1 (/ (- (+ (* -1 (/ (- 1/4 (* 1/16 (+ 1 (* 2 (log (/ 1 N)))))) (log (/ 1 N)))) (+ (* 1/16 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 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)) 2))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (+ (* -1 (/ (- (* -1 (log (/ 1 N))) (* -1/4 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/16 (+ 1 (* 2 (log (/ 1 N))))))) (log (/ 1 N)))) (* 1/4 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (- (* -1 (log (/ 1 N))) (* -1/4 (log (/ 1 N))))) (pow (log (/ 1 N)) 2))))) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N))))))) (+ (* -1 (/ (- (+ 1/4 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (* -1/2 (/ (+ (* -1 (/ (- (* 1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (+ 1/4 (* -1 (/ (- (* -1 (log (/ 1 N))) (* -1/4 (log (/ 1 N)))) (log (/ 1 N)))))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))))) N)
(/ (- (+ 1 (+ (* -1 (/ (- (* 1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (+ 1/4 (* -1 (/ (- (* -1 (log (/ 1 N))) (* -1/4 (log (/ 1 N)))) (log (/ 1 N)))))) (* N (log (/ 1 N))))) (+ (* -1 (/ (- (+ (* -1 (/ (- 1/4 (* 1/16 (+ 1 (* 2 (log (/ 1 N)))))) (log (/ 1 N)))) (+ (* 1/16 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 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)) 2))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (+ (* -1 (/ (- (* -1 (log (/ 1 N))) (* -1/4 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/16 (+ 1 (* 2 (log (/ 1 N))))))) (log (/ 1 N)))) (* 1/4 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (- (* -1 (log (/ 1 N))) (* -1/4 (log (/ 1 N))))) (pow (log (/ 1 N)) 2))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1 (/ (- (+ (* -1 (/ (- 1/4 (* 1/16 (+ 1 (* 2 (log (/ 1 N)))))) (pow (log (/ 1 N)) 2))) (+ (* 1/16 (/ (+ 1 (* 2 (log (/ 1 N)))) (pow (log (/ 1 N)) 2))) (+ (* 1/8 (/ (- (* -4/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (+ (* 1/4 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (- 1/4 (* 1/16 (+ 1 (* 2 (log (/ 1 N))))))) (pow (log (/ 1 N)) 2))) (* 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 (log (/ 1 N)) 2))))))) (+ (* -1 (/ (- (* 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)) 2))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (+ (* -1 (/ (- (* -1 (log (/ 1 N))) (* -1/4 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/16 (+ 1 (* 2 (log (/ 1 N))))))) (log (/ 1 N)))) (+ (* 1/16 (- (* -4/3 (log (/ 1 N))) 1)) (* 1/4 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (- (* -1 (log (/ 1 N))) (* -1/4 (log (/ 1 N))))) (pow (log (/ 1 N)) 2)))))) (log (/ 1 N)))) (+ (* 1/4 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (- (* 1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (+ (* -1 (/ (- (* -1 (log (/ 1 N))) (* -1/4 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/16 (+ 1 (* 2 (log (/ 1 N)))))))) (pow (log (/ 1 N)) 2))) (* 1/4 (/ (* (- (* -4/3 (log (/ 1 N))) 1) (- (* -1 (log (/ 1 N))) (* -1/4 (log (/ 1 N))))) (pow (log (/ 1 N)) 2)))))) (* (pow N 3) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1 (/ (* (+ (* -1 (/ (- (* 1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (+ 1/4 (* -1 (/ (- (* -1 (log (/ 1 N))) (* -1/4 (log (/ 1 N)))) (log (/ 1 N)))))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (- (+ 1/4 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* 1/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1 (/ (- (+ 1/4 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1 (/ (- (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (* 1/16 (/ 1 (log (/ 1 N))))) (+ 1/6 (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (log (/ 1 N)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N)))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ (* -1 (/ (- (* 1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (+ 1/4 (* -1 (/ (- (* -1 (log (/ 1 N))) (* -1/4 (log (/ 1 N)))) (log (/ 1 N)))))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (* -1/2 (/ (- (* -1 (/ (- (+ (* -1 (/ (- 1/4 (* 1/16 (+ 1 (* 2 (log (/ 1 N)))))) (log (/ 1 N)))) (+ (* 1/16 (/ (+ 1 (* 2 (log (/ 1 N)))) (log (/ 1 N)))) (* 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)) 2))))) (+ (* -1 (/ (- (* 1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (+ (* -1 (/ (- (* -1 (log (/ 1 N))) (* -1/4 (log (/ 1 N)))) (log (/ 1 N)))) (* 1/16 (+ 1 (* 2 (log (/ 1 N))))))) (log (/ 1 N)))) (* 1/4 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (- (* -1 (log (/ 1 N))) (* -1/4 (log (/ 1 N))))) (pow (log (/ 1 N)) 2))))) (log (/ 1 N)))) (+ (* -1 (/ (- (+ 1/4 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* -1/2 (/ (+ (* -1 (/ (- (* 1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))) (+ 1/4 (* -1 (/ (- (* -1 (log (/ 1 N))) (* -1/4 (log (/ 1 N)))) (log (/ 1 N)))))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N)))))))))) N)
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(+ (* -1 (/ (- (+ (* -4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* -1 (/ (- (+ (* 2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (/ (- (* -4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (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)))) 4)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) N))) (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))
(+ (* -1 (/ (- (+ (* -4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* 2 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (/ (- (+ (* 2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (/ (- (* -4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (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)))) 4)) (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))))) (- (* -4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (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)))) 4)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))))) N)) (+ (* 2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (+ (* -2 (/ (- (* -4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (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)))) 4)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) N))) (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (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)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -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 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -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) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -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)))))
(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (/ 1 (+ (* -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) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (+ (* -1/2 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) N)) (/ 1 (+ (* -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) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -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)))))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(+ (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))
(+ (* -1 (/ (- (+ (* -4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) (/ (* (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 5)))) (+ (* 2 (/ (+ (* -4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))) (/ (* (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) (/ (* (+ 1 (* -2/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))))) (+ (* -4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))) (/ (* (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) N)) (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))

Calls

3 calls:

Time	Variable		Point	Expression
47.0ms	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) (/ (- (pow (log (+ 1 N)) 2) (pow (log N) 2)) (+ (log N) (log (+ 1 N)))) (- (pow (log (+ 1 N)) 2) (pow (log N) 2)) (pow (log (+ 1 N)) 2) (log (+ 1 N)) (/ (- (pow (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) 2) (pow (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) 2)) (+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (+ (log N) (log (+ 1 N))))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))))) (- (pow (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) 2) (pow (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) 2)) (pow (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) 2) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (pow (log N) 2) (pow (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) 2))
39.0ms	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) (/ (- (pow (log (+ 1 N)) 2) (pow (log N) 2)) (+ (log N) (log (+ 1 N)))) (- (pow (log (+ 1 N)) 2) (pow (log N) 2)) (pow (log (+ 1 N)) 2) (log (+ 1 N)) (/ (- (pow (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) 2) (pow (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) 2)) (+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (+ (log N) (log (+ 1 N))))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))))) (- (pow (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) 2) (pow (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) 2)) (pow (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) 2) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (pow (log N) 2) (pow (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) 2))
13.0ms	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) (/ (- (pow (log (+ 1 N)) 2) (pow (log N) 2)) (+ (log N) (log (+ 1 N)))) (- (pow (log (+ 1 N)) 2) (pow (log N) 2)) (pow (log (+ 1 N)) 2) (log (+ 1 N)) (/ (- (pow (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) 2) (pow (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) 2)) (+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (+ (log N) (log (+ 1 N))))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))))) (- (pow (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) 2) (pow (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) 2)) (pow (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) 2) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (pow (log N) 2) (pow (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) 2))

Time

Variable

Point

Expression

47.0ms

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

39.0ms

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

13.0ms

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

simplify255.0ms (2.9%)

Memory

18.7MiB live, 175.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1107	16763
1	3740	15460
0	8084	14578

Stop Event

1×	iter limit
1×	node limit

Counts

160 → 159

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 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(* -1 (pow (log N) 2))
(- (pow N 2) (pow (log N) 2))
(- (* (pow N 2) (+ 1 (* -1 N))) (pow (log N) 2))
(- (* (pow N 2) (+ 1 (* N (- (* 11/12 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))))
(* 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 (+ 1 (* -1 (* N (+ 1 (+ (* -1 (+ 1/2 (* 2 (/ 1 (log N))))) (* 2 (/ 1 (log N))))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (+ 1/3 (+ (* -2 (/ (+ 1 (* -1 (log N))) (pow (log N) 2))) (* 2 (/ (- 3 (* -1 (log N))) (pow (log N) 2))))) (+ (* -1 (/ (+ 1/2 (* 2 (/ 1 (log N)))) (log N))) (+ (* 3/2 (/ 1 (log N))) (+ (* 2 (/ 1 (pow (log N) 2))) (+ (* 3 (/ 1 (log N))) (* 4 (/ 1 (pow (log N) 2))))))))) (+ 1 (+ (* -1 (+ 1/2 (* 2 (/ 1 (log N))))) (* 2 (/ 1 (log N))))))))))
(- (* 2 (* N (log N))) (pow (log N) 2))
(- (* N (+ (* 2 (log N)) (* N (- (* -1 (log N)) 3)))) (pow (log N) 2))
(- (* N (+ (* 2 (log N)) (* N (- (+ (* -1 (log N)) (* N (- (+ (* -2 (/ (+ 1 (* -1 (log N))) (log N))) (+ (* 2/3 (log N)) (* 2 (/ (- 3 (* -1 (log N))) (log N))))) 1))) 3)))) (pow (log N) 2))
(/ (pow N 4) (pow (log N) 2))
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(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))
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(fma.f64 (/.f64 #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))) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #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 4 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 (/ (- (+ (* -4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) (/ (* (+ 1 (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))
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rewrite305.0ms (3.5%)

Memory

-4.0MiB live, 228.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	266
0	74	224
1	352	193
2	2854	187
0	8906	187

Stop Event

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

Counts

22 → 1 398

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

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

eval562.0ms (6.5%)

Memory: -6.1MiB live, 185.8MiB allocated
Compiler: Compiled 75 384 to 6 068 computations (92% saved)

prune101.0ms (1.2%)

Memory

-9.7MiB live, 80.7MiB allocated

Pruning

40 alts after pruning (37 fresh and 3 done)

	Pruned	Kept	Total
New	1 432	31	1 463
Fresh	5	6	11
Picked	2	3	5
Done	0	0	0
Total	1 439	40	1 479

Accuracy

99.7%

Counts

1 479 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.7%	(fma.f64 (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (log1p.f64 N) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
▶	24.2%	(fma.f64 (sqrt.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) (sqrt.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.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)))))
▶	24.4%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	25.0%	(/.f64 (fma.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)))) (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	25.0%	(/.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (log1p.f64 N) (neg.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)))) (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	22.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal -4 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -4 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)) (neg.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64))))) (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	22.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))))
✓	22.6%	(/.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)))
	23.4%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.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)) #s(literal 1 binary64))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))))
	22.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
	22.8%	(/.f64 (-.f64 (.f64 #s(literal 1 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))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
	23.2%	(/.f64 (-.f64 (.f64 #s(literal 1 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))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
	22.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.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)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal 1 binary64))) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))))
	95.3%	(/.f64 #s(approx (- (pow (log (+ 1 N)) 2) (pow (log N) 2)) (/.f64 (-.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -2/3 binary64) N) (/.f64 (neg.f64 (log.f64 N)) N) (fma.f64 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 11/12 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 (neg.f64 (log.f64 N)) N)) (/.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1 binary64) (*.f64 N N))) N)) (+.f64 (log.f64 N) (log1p.f64 N)))
	85.0%	(/.f64 #s(approx (- (pow (log (+ 1 N)) 2) (pow (log N) 2)) (*.f64 (/.f64 (neg.f64 (log.f64 N)) N) #s(literal -2 binary64))) (+.f64 (log.f64 N) (log1p.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)))
	22.1%	(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))))))))
	22.7%	(neg.f64 (-.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (+.f64 #s(literal 1 binary64) N))) (log.f64 (-.f64 N #s(literal 1 binary64)))))
	25.0%	(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))))))
	22.7%	(neg.f64 (+.f64 (log.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (-.f64 N #s(literal 1 binary64)))))
	25.6%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
✓	25.2%	(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
	94.1%	(neg.f64 #s(approx (log (/ (* (- N 1) N) (+ (* N N) -1))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N)))
	25.2%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
	22.8%	(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
	95.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 2 binary64))) (-.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)))) N))
	94.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
	95.5%	#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))
	94.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (.f64 N #s(literal -1 binary64))) (*.f64 N N)))
	95.5%	#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)) (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64)) N))
▶	91.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
▶	95.5%	#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)))))
✓	85.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	95.4%	#s(approx (- (log (+ N 1)) (log 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 3 binary64)) (.f64 N (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 N (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 2 binary64)))))))
	95.5%	#s(approx (- (log (+ N 1)) (log 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)) (.f64 N (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)))) (/.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N))))))
	95.4%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (/.f64 #s(literal -1 binary64) N)))
	95.4%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N)))
	95.4%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))

Compiler

Compiled 2 510 to 1 287 computations (48.7% saved)

simplify143.0ms (1.7%)

Memory

-1.9MiB live, 36.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 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	0	(sqrt.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
cost-diff	13	(fma.f64 (sqrt.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) (sqrt.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.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	(neg.f64 (log.f64 N))
cost-diff	0	(log1p.f64 N)
cost-diff	0	(sqrt.f64 (log1p.f64 N))
cost-diff	5	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (.f64 N #s(literal -1 binary64))) (*.f64 N N)))
cost-diff	1	(*.f64 N #s(literal -1 binary64))
cost-diff	1	(-.f64 (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (.f64 N #s(literal -1 binary64)))
cost-diff	4	(*.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)
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: 3 (0.0ms)

Iter	Nodes	Cost
0	49	437
0	81	401
1	133	398
2	237	388
3	539	386
4	2002	386
5	5715	386
0	8202	386

Stop Event

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

Calls

Call 1

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

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

localize231.0ms (2.7%)

Memory

7.6MiB live, 85.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.44921875	(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))
accuracy	0.5309562988422102	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	0.5381050293053261	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	48.06924115650468	(fma.f64 (sqrt.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) (sqrt.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.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	(log1p.f64 N)
accuracy	0.0	(log.f64 N)
accuracy	0.12890625	(sqrt.f64 (log1p.f64 N))
accuracy	48.35371152056579	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
accuracy	0.234375	(*.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)
accuracy	0.265625	(/.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (.f64 N #s(literal -1 binary64))) (*.f64 N N))
accuracy	0.3515625	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.80944432251788	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (.f64 N #s(literal -1 binary64))) (*.f64 N N)))
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	0.09375	(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)
accuracy	2.80944432251788	#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	9.712390604453434	#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
accuracy	0.1015625	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
accuracy	0.109375	(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.3515625	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.80944432251788	#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

159.0ms	203×	1	valid
15.0ms	53×	0	valid

Compiler

Compiled 405 to 40 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-sqrt: 43.0ms (30.6% of total)

ival-div: 24.0ms (17.1% of total)

adjust: 13.0ms (9.2% of total)

ival-sub: 10.0ms (7.1% of total)

ival-mult: 10.0ms (7.1% of total)

ival-log1p: 9.0ms (6.4% of total)

ival-pow2: 8.0ms (5.7% of total)

ival-log: 7.0ms (5% of total)

const: 6.0ms (4.3% of total)

ival-add: 6.0ms (4.3% of total)

ival-neg: 4.0ms (2.8% of total)

exact: 1.0ms (0.7% of total)

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

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

series91.0ms (1.1%)

Memory

22.2MiB live, 59.5MiB allocated

Counts

27 → 143

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

Outputs
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(* -4 (pow N 4))
(* (pow N 4) (- (* -16/3 N) 4))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 2))
(* -1 N)
(sqrt N)
(+ (sqrt N) (* -1/4 (sqrt (pow N 3))))
(+ (sqrt N) (* (pow N 2) (+ (* -1/4 (sqrt (/ 1 N))) (* 1/6 (sqrt N)))))
(+ (sqrt N) (* (pow N 2) (+ (* -1/4 (sqrt (/ 1 N))) (* N (+ (* -1/2 (* (sqrt N) (+ 1/4 (* 1/16 (/ 1 N))))) (* 1/6 (sqrt (/ 1 N))))))))
N
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(* N (sqrt (/ 1 (log N))))
(* N (+ (sqrt (/ 1 (log N))) (* N (+ (* -1/2 (sqrt (/ 1 (log N)))) (* -1/2 (sqrt (/ 1 (pow (log N) 3))))))))
(* N (+ (sqrt (/ 1 (log N))) (* N (+ (* -1/2 (sqrt (/ 1 (log N)))) (+ (* -1/2 (sqrt (/ 1 (pow (log N) 3)))) (* N (+ (* 1/4 (sqrt (/ 1 (pow (log N) 3)))) (+ (* 1/3 (sqrt (/ 1 (log N)))) (* 1/2 (* (sqrt (log N)) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 3/4 (/ 1 (pow (log N) 3))))))))))))))
(* N (+ (sqrt (/ 1 (log N))) (* N (+ (* -1/2 (sqrt (/ 1 (log N)))) (+ (* -1/2 (sqrt (/ 1 (pow (log N) 3)))) (* N (+ (* 1/4 (sqrt (/ 1 (pow (log N) 3)))) (+ (* 1/3 (sqrt (/ 1 (log N)))) (+ (* 1/2 (* (sqrt (log N)) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 3/4 (/ 1 (pow (log N) 3)))))) (* N (+ (* -1/2 (* (sqrt (log N)) (+ (* -1/2 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 3/4 (/ 1 (pow (log N) 3)))) (log N))) (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (/ 1 (pow (log N) 3)) (/ 1 (pow (log N) 4))))))) (+ (* -1/4 (sqrt (/ 1 (log N)))) (+ (* -1/4 (* (sqrt (log N)) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 3/4 (/ 1 (pow (log N) 3)))))) (* -1/6 (sqrt (/ 1 (pow (log N) 3)))))))))))))))))
(/ (pow N 2) (log N))
(* (pow N 2) (+ (* -1 (* N (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 11/12 (/ 1 (log N)))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (+ (* 11/12 (/ 1 (log N))) (* N (- (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))) (+ (* 5/6 (/ 1 (log N))) (* 11/12 (/ 1 (pow (log N) 2))))))))))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(pow N 2)
(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(log N)
(pow (log N) 2)
(+ (log N) (* -1 N))
(+ (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)))
(/ 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 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
-1/2
(- (* 1/3 (/ 1 N)) 1/2)
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
(* 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))))))
(* (sqrt (log (/ 1 N))) (sqrt -1))
(+ (* 1/2 (* (/ 1 (* N (sqrt -1))) (sqrt (/ 1 (log (/ 1 N)))))) (* (sqrt (log (/ 1 N))) (sqrt -1)))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 N)) (pow (sqrt -1) 2))))) (* (pow N 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 N)))))) (+ (* 1/2 (* (/ 1 (* N (sqrt -1))) (sqrt (/ 1 (log (/ 1 N)))))) (* (sqrt (log (/ 1 N))) (sqrt -1))))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 N)) (pow (sqrt -1) 2))))) (* (pow N 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 N)))))) (+ (* 1/2 (* (/ 1 (* N (sqrt -1))) (sqrt (/ 1 (log (/ 1 N)))))) (+ (* 1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 N)) (pow (sqrt -1) 2))))) (* (log (/ 1 N)) (pow (sqrt -1) 2))))) (* (pow N 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 N)))))) (* (sqrt (log (/ 1 N))) (sqrt -1)))))
(* -1 (log (/ 1 N)))
(+ (* -1 (log (/ 1 N))) (/ 1 N))
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(log (/ 1 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 (* (sqrt (log (/ 1 N))) (sqrt -1/2)))
(+ (* -1 (* (sqrt (log (/ 1 N))) (sqrt -1/2))) (+ (* 1/8 (* (/ 1 (* N (sqrt -1/2))) (sqrt (/ 1 (log (/ 1 N)))))) (* (/ (sqrt -1/2) N) (sqrt (/ 1 (log (/ 1 N)))))))
(+ (* -1 (* (sqrt (log (/ 1 N))) (sqrt -1/2))) (+ (* -1/2 (* (/ (sqrt -1/2) (pow N 2)) (sqrt (/ 1 (log (/ 1 N)))))) (+ (* -1/2 (* (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* 1/64 (/ 1 (* (pow (log (/ 1 N)) 3) (pow (sqrt -1/2) 2)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 3))))) (* (pow N 2) (sqrt -1/2))) (sqrt (pow (log (/ 1 N)) 3)))) (+ (* -1/8 (* (/ 1 (* (pow N 2) (sqrt -1/2))) (sqrt (/ 1 (pow (log (/ 1 N)) 3))))) (+ (* 1/8 (* (/ 1 (* N (sqrt -1/2))) (sqrt (/ 1 (log (/ 1 N)))))) (* (/ (sqrt -1/2) N) (sqrt (/ 1 (log (/ 1 N))))))))))
(+ (* -1 (* (sqrt (log (/ 1 N))) (sqrt -1/2))) (+ (* -1/2 (* (/ (sqrt -1/2) (pow N 2)) (sqrt (/ 1 (log (/ 1 N)))))) (+ (* -1/2 (* (/ (- (* 1/16 (/ 1 (pow (log (/ 1 N)) 3))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 3)))) (log (/ 1 N)))) (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* 1/64 (/ 1 (* (pow (log (/ 1 N)) 3) (pow (sqrt -1/2) 2)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 3))))) (* (log (/ 1 N)) (pow (sqrt -1/2) 2)))) (* 1/12 (/ 1 (pow (log (/ 1 N)) 2)))))) (* (pow N 3) (sqrt -1/2))) (sqrt (pow (log (/ 1 N)) 3)))) (+ (* -1/2 (* (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* 1/64 (/ 1 (* (pow (log (/ 1 N)) 3) (pow (sqrt -1/2) 2)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 3))))) (* (pow N 2) (sqrt -1/2))) (sqrt (pow (log (/ 1 N)) 3)))) (+ (* -1/8 (* (/ 1 (* (pow N 2) (sqrt -1/2))) (sqrt (/ 1 (pow (log (/ 1 N)) 3))))) (+ (* 1/16 (* (/ 1 (* (pow N 3) (sqrt -1/2))) (sqrt (/ 1 (pow (log (/ 1 N)) 3))))) (+ (* 1/8 (* (/ 1 (* N (sqrt -1/2))) (sqrt (/ 1 (log (/ 1 N)))))) (+ (* 1/3 (* (/ (sqrt -1/2) (pow N 3)) (sqrt (/ 1 (log (/ 1 N)))))) (+ (* 1/2 (* (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* 1/64 (/ 1 (* (pow (log (/ 1 N)) 3) (pow (sqrt -1/2) 2)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 3))))) (* (pow N 3) (sqrt -1/2))) (sqrt (log (/ 1 N))))) (* (/ (sqrt -1/2) N) (sqrt (/ 1 (log (/ 1 N))))))))))))))
(* -1/2 (log (/ 1 N)))
(+ (* -1/2 (log (/ 1 N))) (* 3/4 (/ 1 N)))
(+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))
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Calls

3 calls:

Time

Variable

Point

Expression

60.0ms

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

16.0ms

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

10.0ms

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

simplify249.0ms (2.9%)

Memory

-22.6MiB live, 170.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	827	6544
1	2571	6010
0	8429	5696

Stop Event

1×	iter limit
1×	node limit

Counts

143 → 142

Calls

Call 1

Inputs
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(* -4 (pow N 4))
(* (pow N 4) (- (* -16/3 N) 4))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 2))
(* -1 N)
(sqrt N)
(+ (sqrt N) (* -1/4 (sqrt (pow N 3))))
(+ (sqrt N) (* (pow N 2) (+ (* -1/4 (sqrt (/ 1 N))) (* 1/6 (sqrt N)))))
(+ (sqrt N) (* (pow N 2) (+ (* -1/4 (sqrt (/ 1 N))) (* N (+ (* -1/2 (* (sqrt N) (+ 1/4 (* 1/16 (/ 1 N))))) (* 1/6 (sqrt (/ 1 N))))))))
N
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(* N (sqrt (/ 1 (log N))))
(* N (+ (sqrt (/ 1 (log N))) (* N (+ (* -1/2 (sqrt (/ 1 (log N)))) (* -1/2 (sqrt (/ 1 (pow (log N) 3))))))))
(* N (+ (sqrt (/ 1 (log N))) (* N (+ (* -1/2 (sqrt (/ 1 (log N)))) (+ (* -1/2 (sqrt (/ 1 (pow (log N) 3)))) (* N (+ (* 1/4 (sqrt (/ 1 (pow (log N) 3)))) (+ (* 1/3 (sqrt (/ 1 (log N)))) (* 1/2 (* (sqrt (log N)) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 3/4 (/ 1 (pow (log N) 3))))))))))))))
(* N (+ (sqrt (/ 1 (log N))) (* N (+ (* -1/2 (sqrt (/ 1 (log N)))) (+ (* -1/2 (sqrt (/ 1 (pow (log N) 3)))) (* N (+ (* 1/4 (sqrt (/ 1 (pow (log N) 3)))) (+ (* 1/3 (sqrt (/ 1 (log N)))) (+ (* 1/2 (* (sqrt (log N)) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 3/4 (/ 1 (pow (log N) 3)))))) (* N (+ (* -1/2 (* (sqrt (log N)) (+ (* -1/2 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 3/4 (/ 1 (pow (log N) 3)))) (log N))) (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (/ 1 (pow (log N) 3)) (/ 1 (pow (log N) 4))))))) (+ (* -1/4 (sqrt (/ 1 (log N)))) (+ (* -1/4 (* (sqrt (log N)) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 3/4 (/ 1 (pow (log N) 3)))))) (* -1/6 (sqrt (/ 1 (pow (log N) 3)))))))))))))))))
(/ (pow N 2) (log N))
(* (pow N 2) (+ (* -1 (* N (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 11/12 (/ 1 (log N)))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (+ (* 11/12 (/ 1 (log N))) (* N (- (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))) (+ (* 5/6 (/ 1 (log N))) (* 11/12 (/ 1 (pow (log N) 2))))))))))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(pow N 2)
(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(log N)
(pow (log N) 2)
(+ (log N) (* -1 N))
(+ (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)))
(/ 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 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
-1/2
(- (* 1/3 (/ 1 N)) 1/2)
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
(* 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))))))
(* (sqrt (log (/ 1 N))) (sqrt -1))
(+ (* 1/2 (* (/ 1 (* N (sqrt -1))) (sqrt (/ 1 (log (/ 1 N)))))) (* (sqrt (log (/ 1 N))) (sqrt -1)))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 N)) (pow (sqrt -1) 2))))) (* (pow N 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 N)))))) (+ (* 1/2 (* (/ 1 (* N (sqrt -1))) (sqrt (/ 1 (log (/ 1 N)))))) (* (sqrt (log (/ 1 N))) (sqrt -1))))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 N)) (pow (sqrt -1) 2))))) (* (pow N 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 N)))))) (+ (* 1/2 (* (/ 1 (* N (sqrt -1))) (sqrt (/ 1 (log (/ 1 N)))))) (+ (* 1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 N)) (pow (sqrt -1) 2))))) (* (log (/ 1 N)) (pow (sqrt -1) 2))))) (* (pow N 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 N)))))) (* (sqrt (log (/ 1 N))) (sqrt -1)))))
(* -1 (log (/ 1 N)))
(+ (* -1 (log (/ 1 N))) (/ 1 N))
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(log (/ 1 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 (* (sqrt (log (/ 1 N))) (sqrt -1/2)))
(+ (* -1 (* (sqrt (log (/ 1 N))) (sqrt -1/2))) (+ (* 1/8 (* (/ 1 (* N (sqrt -1/2))) (sqrt (/ 1 (log (/ 1 N)))))) (* (/ (sqrt -1/2) N) (sqrt (/ 1 (log (/ 1 N)))))))
(+ (* -1 (* (sqrt (log (/ 1 N))) (sqrt -1/2))) (+ (* -1/2 (* (/ (sqrt -1/2) (pow N 2)) (sqrt (/ 1 (log (/ 1 N)))))) (+ (* -1/2 (* (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* 1/64 (/ 1 (* (pow (log (/ 1 N)) 3) (pow (sqrt -1/2) 2)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 3))))) (* (pow N 2) (sqrt -1/2))) (sqrt (pow (log (/ 1 N)) 3)))) (+ (* -1/8 (* (/ 1 (* (pow N 2) (sqrt -1/2))) (sqrt (/ 1 (pow (log (/ 1 N)) 3))))) (+ (* 1/8 (* (/ 1 (* N (sqrt -1/2))) (sqrt (/ 1 (log (/ 1 N)))))) (* (/ (sqrt -1/2) N) (sqrt (/ 1 (log (/ 1 N))))))))))
(+ (* -1 (* (sqrt (log (/ 1 N))) (sqrt -1/2))) (+ (* -1/2 (* (/ (sqrt -1/2) (pow N 2)) (sqrt (/ 1 (log (/ 1 N)))))) (+ (* -1/2 (* (/ (- (* 1/16 (/ 1 (pow (log (/ 1 N)) 3))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 3)))) (log (/ 1 N)))) (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* 1/64 (/ 1 (* (pow (log (/ 1 N)) 3) (pow (sqrt -1/2) 2)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 3))))) (* (log (/ 1 N)) (pow (sqrt -1/2) 2)))) (* 1/12 (/ 1 (pow (log (/ 1 N)) 2)))))) (* (pow N 3) (sqrt -1/2))) (sqrt (pow (log (/ 1 N)) 3)))) (+ (* -1/2 (* (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* 1/64 (/ 1 (* (pow (log (/ 1 N)) 3) (pow (sqrt -1/2) 2)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 3))))) (* (pow N 2) (sqrt -1/2))) (sqrt (pow (log (/ 1 N)) 3)))) (+ (* -1/8 (* (/ 1 (* (pow N 2) (sqrt -1/2))) (sqrt (/ 1 (pow (log (/ 1 N)) 3))))) (+ (* 1/16 (* (/ 1 (* (pow N 3) (sqrt -1/2))) (sqrt (/ 1 (pow (log (/ 1 N)) 3))))) (+ (* 1/8 (* (/ 1 (* N (sqrt -1/2))) (sqrt (/ 1 (log (/ 1 N)))))) (+ (* 1/3 (* (/ (sqrt -1/2) (pow N 3)) (sqrt (/ 1 (log (/ 1 N)))))) (+ (* 1/2 (* (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* 1/64 (/ 1 (* (pow (log (/ 1 N)) 3) (pow (sqrt -1/2) 2)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 3))))) (* (pow N 3) (sqrt -1/2))) (sqrt (log (/ 1 N))))) (* (/ (sqrt -1/2) N) (sqrt (/ 1 (log (/ 1 N))))))))))))))
(* -1/2 (log (/ 1 N)))
(+ (* -1/2 (log (/ 1 N))) (* 3/4 (/ 1 N)))
(+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))
(- (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/8 (pow N 2)) (+ (* 3/4 (/ 1 N)) (* 3/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 3/16 (* (pow N 3) (log (/ 1 N)))) (* 1/12 (/ 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)))
(/ -1/3 N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* -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)))))))
(* -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 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
(* -1 (* N (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
(sqrt (+ (log -1) (* -1 (log (/ -1 N)))))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (* (/ 1 N) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 N))))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 N))))))) N) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 N))))))))) N)))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 N))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (log -1) (* -1 (log (/ -1 N))))))) N) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) 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 (+ (log -1) (* -1 (log (/ -1 N)))))
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))
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(/ (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)
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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))
(-.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))
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(* (pow N 4) (- (* -16/3 N) 4))
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(* (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))
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(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
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(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
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(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 2))
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(* -1 N)
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(+ (sqrt N) (* -1/4 (sqrt (pow N 3))))
(fma.f64 (sqrt.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal -1/4 binary64) (sqrt.f64 N))
(+ (sqrt N) (* (pow N 2) (+ (* -1/4 (sqrt (/ 1 N))) (* 1/6 (sqrt N)))))
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rewrite247.0ms (2.9%)

Memory

17.2MiB live, 272.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	347
0	81	305
1	345	294
2	2700	286
0	9175	283

Stop Event

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

Counts

27 → 1 146

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

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

eval268.0ms (3.1%)

Memory: 3.5MiB live, 545.8MiB allocated
Compiler: Compiled 69 662 to 5 902 computations (91.5% saved)

prune66.0ms (0.8%)

Memory

-14.5MiB live, 148.4MiB allocated

Pruning

40 alts after pruning (35 fresh and 5 done)

	Pruned	Kept	Total
New	1 677	21	1 698
Fresh	18	14	32
Picked	3	2	5
Done	0	3	3
Total	1 698	40	1 738

Accuracy

99.7%

Counts

1 738 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.6%	(fma.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 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
	25.0%	(fma.f64 (/.f64 (log1p.f64 N) (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (log1p.f64 N) (sqrt.f64 (+.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))))
	25.0%	(fma.f64 (sqrt.f64 (pow.f64 (/.f64 (log1p.f64 N) (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (log1p.f64 N) (sqrt.f64 (+.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))))
✓	24.4%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	24.4%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 (+.f64 N #s(literal 1 binary64)))) (neg.f64 (log.f64 N)))
	25.0%	(/.f64 (fma.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)))) (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	24.8%	(/.f64 (fma.f64 (-.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 -2 binary64))) (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) (.f64 (/.f64 (log1p.f64 N) (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (log1p.f64 N)))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))) (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N)))))
	24.2%	(/.f64 (fma.f64 (-.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 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #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)))))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #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 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64)))))
	25.0%	(/.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (log1p.f64 N) (neg.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)))) (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	25.3%	(/.f64 (fma.f64 (.f64 (/.f64 (log1p.f64 N) (sqrt.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))) (.f64 (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal -1 binary64))) (.f64 (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))))
	22.5%	(/.f64 (fma.f64 #s(literal 1 binary64) (.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)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal -1 binary64))) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))))
▶	23.4%	(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 N) (log1p.f64 N)) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
	22.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal -4 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -4 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)) (neg.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64))))) (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	22.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))))
✓	22.6%	(/.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)))
	22.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))))
	22.8%	(/.f64 (-.f64 (.f64 #s(literal 1 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))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.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)))
	22.7%	(neg.f64 (-.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (+.f64 #s(literal 1 binary64) N))) (log.f64 (-.f64 N #s(literal 1 binary64)))))
	25.0%	(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))))))
	22.7%	(neg.f64 (+.f64 (log.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (-.f64 N #s(literal 1 binary64)))))
	25.6%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
✓	25.2%	(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
	25.2%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	22.8%	(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (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 2 binary64)) #s(literal 1 binary64) (.f64 (neg.f64 N) N)) (.f64 (*.f64 N N) (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64) (neg.f64 N)))))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64) N) (*.f64 N N)))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64) N) N) N))
	94.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	95.5%	#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))
✓	91.6%	#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))
	93.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) (.f64 N #s(literal -1 binary64))) (.f64 N N)))
▶	91.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) #s(literal -1/2 binary64)) (.f64 N #s(literal -1 binary64))) (.f64 N N)))
▶	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N -1)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N) N)) (*.f64 N N)))
	92.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))))
	94.7%	#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 N (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) N)))))
▶	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.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)))))
	94.6%	#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 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))))
✓	85.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	95.4%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))

Compiler

Compiled 2 517 to 1 306 computations (48.1% saved)

simplify104.0ms (1.2%)

Memory

22.7MiB live, 98.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 N)
cost-diff	0	(+.f64 (log.f64 N) (log1p.f64 N))
cost-diff	6	(fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 N) (log1p.f64 N)) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
cost-diff	15	(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 N) (log1p.f64 N)) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64)))
cost-diff	0	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64))))
cost-diff	0	(+.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)))
cost-diff	2	(log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) N))
cost-diff	0	(/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N) N)
cost-diff	0	#s(approx (- (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N -1)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N) N))
cost-diff	0	(/.f64 #s(approx (- (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N -1)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N) N)) (*.f64 N N))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N -1)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N) N)) (*.f64 N N)))
cost-diff	0	(/.f64 (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) #s(literal -1/2 binary64)) (.f64 N #s(literal -1 binary64))) (.f64 N N))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) #s(literal -1/2 binary64)) (.f64 N #s(literal -1 binary64))) (.f64 N N)))
cost-diff	1	(*.f64 N #s(literal -1 binary64))
cost-diff	1	(-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) #s(literal -1/2 binary64)) (*.f64 N #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))))
cost-diff	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	68	612
0	108	599
1	205	561
2	405	546
3	1450	520
4	5620	515
0	8094	509

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

localize292.0ms (3.4%)

Memory

-18.0MiB live, 384.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.328125	(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))
accuracy	0.5381050293053261	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.5501938476844203	(pow.f64 (log.f64 N) #s(literal -2 binary64))
accuracy	49.092250796057364	(fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 N) (log1p.f64 N)) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
accuracy	0.01953125	(/.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64)))
accuracy	0.232753759768442	(+.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)))
accuracy	47.38078688466813	(log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) N))
accuracy	47.38413062617735	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64))))
accuracy	0.22265625	(fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64))
accuracy	0.265625	(/.f64 #s(approx (- (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N -1)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N) N)) (*.f64 N N))
accuracy	0.26953125	(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)
accuracy	2.80944432251788	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N -1)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N) N)) (*.f64 N N)))
accuracy	0.00390625	(-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) #s(literal -1/2 binary64)) (*.f64 N #s(literal -1 binary64)))
accuracy	0.265625	(/.f64 (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) #s(literal -1/2 binary64)) (.f64 N #s(literal -1 binary64))) (.f64 N N))
accuracy	2.80944432251788	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) #s(literal -1/2 binary64)) (.f64 N #s(literal -1 binary64))) (.f64 N N)))
accuracy	9.862012866727328	#s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) #s(literal -1/2 binary64))
accuracy	0.3671875	(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)
accuracy	0.375	(/.f64 #s(literal 1/24 binary64) N)
accuracy	2.7971359486688234	#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	2.80944432251788	#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

211.0ms	195×	1	valid
28.0ms	61×	0	valid

Compiler

Compiled 491 to 62 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-div: 46.0ms (23.1% of total)

ival-log: 30.0ms (15.1% of total)

ival-mult: 27.0ms (13.6% of total)

adjust: 23.0ms (11.6% of total)

const: 19.0ms (9.5% of total)

ival-sub: 17.0ms (8.5% of total)

ival-add: 13.0ms (6.5% of total)

ival-log1p: 10.0ms (5% of total)

ival-pow: 7.0ms (3.5% of total)

ival-pow2: 4.0ms (2% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series46.0ms (0.5%)

Memory

18.9MiB live, 56.6MiB 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))))
(-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) #s(literal -1/2 binary64)) (*.f64 N #s(literal -1 binary64)))
(*.f64 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) N) #s(literal -1/2 binary64)) (.f64 N #s(literal -1 binary64))) (.f64 N N)))
(/.f64 (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) #s(literal -1/2 binary64)) (.f64 N #s(literal -1 binary64))) (.f64 N N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N -1)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N) N)) (*.f64 N N)))
(/.f64 #s(approx (- (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N -1)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N) N)) (*.f64 N N))
#s(approx (- (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N -1)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N) N))
(/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N) N)
(log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) N))
(+.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)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 N) (log1p.f64 N)) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
(fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 N) (log1p.f64 N)) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (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))
(log.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)
#s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) #s(literal -1/2 binary64))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)
(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 (log.f64 N) #s(literal -2 binary64))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (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))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 2))
(* -1 N)
(+ (log -1) (* -1 (log N)))
(+ (log -1) (+ (* -1 N) (* -1 (log N))))
(+ (log -1) (+ (* -1 (log N)) (* N (- (* -1/2 N) 1))))
(+ (log -1) (+ (* -1 (log N)) (* N (- (* N (- (* -1/3 N) 1/2)) 1))))
(+ (* -1 (log N)) (* 2 (log -1)))
(+ N (+ (* -1 (log N)) (* 2 (log -1))))
(+ (* -1 (log N)) (+ (* 2 (log -1)) (* N (+ 1 (* -1/2 N)))))
(+ (* -1 (log N)) (+ (* 2 (log -1)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
(log -1)
(+ (log -1) (* 2 N))
(+ (log -1) (* N (+ 2 (* 2/3 (pow N 2)))))
(+ (log -1) (* N (+ 2 (* (pow N 2) (+ 2/3 (* 2/5 (pow N 2)))))))
-1
(- (* -2 N) 1)
(- (* N (- (* -2 N) 2)) 1)
(- (* N (- (* N (- (* -2 N) 2)) 2)) 1)
(+ 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 N) (* -1 (log N)))
(+ (* -1 (log N)) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1)))
(+ (* -1 (log N)) (* N (- (* N (+ 1/2 (+ (* N (- (/ 1 (pow (log N) 2)) (+ 1/3 (/ 1 (log N))))) (/ 1 (log N))))) 1)))
(log N)
(+ N (log N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(* -4 (pow N 4))
(* (pow N 4) (- (* -16/3 N) 4))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(/ 1/24 N)
(/ -1/24 (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ -1/4 N)
(/ (- (* 1/3 N) 1/4) N)
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) N)
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) N)
-1/4
(- (* 1/3 N) 1/4)
(- (* N (+ 1/3 (* -1/2 N))) 1/4)
(- (* N (+ 1/3 (* N (- N 1/2)))) 1/4)
(/ 1 (pow (log N) 2))
(pow N 2)
(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(/ 1 (log N))
(+ (/ 1 (log N)) (/ N (pow (log N) 2)))
(+ (* N (+ (* -1/2 (/ N (pow (log N) 2))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(+ (* N (+ (* N (- (* 1/3 (/ N (pow (log N) 2))) (* 1/2 (/ 1 (pow (log N) 2))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
(* -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)
(* N (- 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
(* N (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))
(/ -1 N)
(* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))
(/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 N))) N)) 1) N)
(/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) (pow N 2))) (+ 1 (* 1/2 (/ 1 N)))) N)
(/ 2 N)
(/ (+ 2 (* 2/3 (/ 1 (pow N 2)))) N)
(/ (+ 2 (+ (/ 2/5 (pow N 4)) (* 2/3 (/ 1 (pow N 2))))) N)
(/ (+ 2 (+ (/ 2/5 (pow N 4)) (+ (* 2/3 (/ 1 (pow N 2))) (* 2/7 (/ 1 (pow N 6)))))) N)
1
(+ 1 (* 2 (/ 1 N)))
(+ 1 (+ (* 2 (/ 1 N)) (/ 2 (pow N 2))))
(+ 1 (+ (* 2 (/ 1 N)) (+ (* 2 (/ 1 (pow N 3))) (/ 2 (pow N 2)))))
(* 1/4 (+ (* -2 (log (/ 1 N))) (* 2 (log (/ 1 N)))))
(- (+ (* 1/4 (+ (* -2 (log (/ 1 N))) (* 2 (log (/ 1 N))))) (/ 1 N)) (* -1/4 (/ (+ (* -2 (log (/ 1 N))) (* 2 (log (/ 1 N)))) (* N (log (/ 1 N))))))
(- (+ (* 1/4 (+ (* -2 (log (/ 1 N))) (* 2 (log (/ 1 N))))) (+ (* 1/4 (/ (- (* -2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 2 (/ 1 (log (/ 1 N))))) (pow N 2))) (/ 1 N))) (+ (* -1 (/ (- 1 (* -1/4 (/ (+ (* -2 (log (/ 1 N))) (* 2 (log (/ 1 N)))) (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/4 (/ (+ (* -2 (log (/ 1 N))) (* 2 (log (/ 1 N)))) (* N (log (/ 1 N))))) (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (log (/ 1 N))) (* 2 (log (/ 1 N))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))))))
(- (+ (* 1/4 (+ (* -2 (log (/ 1 N))) (* 2 (log (/ 1 N))))) (+ (* 1/4 (/ (+ (* -2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (+ (* 2 (/ 1 (log (/ 1 N)))) (/ 1 (pow (log (/ 1 N)) 2)))) (pow N 3))) (+ (* 1/4 (/ (- (* -2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 2 (/ 1 (log (/ 1 N))))) (pow N 2))) (/ 1 N)))) (+ (* -1 (/ (- 1 (* -1/4 (/ (+ (* -2 (log (/ 1 N))) (* 2 (log (/ 1 N)))) (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1 (/ (- (* 1/4 (- (* -2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 2 (/ 1 (log (/ 1 N)))))) (+ (* -1 (/ (- 1 (* -1/4 (/ (+ (* -2 (log (/ 1 N))) (* 2 (log (/ 1 N)))) (log (/ 1 N))))) (log (/ 1 N)))) (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (log (/ 1 N))) (* 2 (log (/ 1 N))))) (pow (log (/ 1 N)) 2))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/4 (/ (+ (* -2 (log (/ 1 N))) (* 2 (log (/ 1 N)))) (* N (log (/ 1 N))))) (+ (* 1/16 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (+ (* -2 (log (/ 1 N))) (* 2 (log (/ 1 N))))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (* 1/16 (/ (* (+ (* -2 (log (/ 1 N))) (* 2 (log (/ 1 N)))) (- (* -4/3 (log (/ 1 N))) 1)) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (* 1/4 (/ (* (+ 1 (* 2 (log (/ 1 N)))) (- 1 (* -1/4 (/ (+ (* -2 (log (/ 1 N))) (* 2 (log (/ 1 N)))) (log (/ 1 N)))))) (* (pow N 3) (pow (log (/ 1 N)) 2))))))))))
(+ (* -2 (log (/ 1 N))) (* 2 (log (/ 1 N))))
(+ (* -2 (log (/ 1 N))) (+ (* 2 (log (/ 1 N))) (* 4 (/ 1 N))))
(- (+ (* -2 (log (/ 1 N))) (+ (* -2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (* 2 (log (/ 1 N))) (* 4 (/ 1 N))))) (* 2 (/ 1 (* (pow N 2) (log (/ 1 N))))))
(- (+ (* -2 (log (/ 1 N))) (+ (* -2 (/ (+ 1 (log (/ 1 N))) (* (pow N 2) (log (/ 1 N))))) (+ (* -2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 3) (log (/ 1 N))))) (+ (* 2 (log (/ 1 N))) (+ (* 4 (/ 1 N)) (+ (/ 1 (* (pow N 3) (pow (log (/ 1 N)) 2))) (/ 2 (* (pow N 3) (log (/ 1 N)))))))))) (* 2 (/ 1 (* (pow N 2) (log (/ 1 N))))))
(* -2 (log (/ 1 N)))
(+ (* -2 (log (/ 1 N))) (/ 1 N))
(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(* -1 (log (/ 1 N)))
(/ 1/12 N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
-1/2
(- (* 1/3 (/ 1 N)) 1/2)
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
(* (pow N 2) (- 1 (* 1/2 (/ 1 N))))
(* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
(* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))
(pow N 3)
(* (pow N 3) (- 1 (* 1/2 (/ 1 N))))
(* (pow N 3) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
(* (pow N 3) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))
(/ 1 (pow (log (/ 1 N)) 2))
(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)))
(/ -2 (log (/ 1 N)))
(- (/ 1 (* N (pow (log (/ 1 N)) 2))) (* 2 (/ 1 (log (/ 1 N)))))
(- (/ 1 (* N (pow (log (/ 1 N)) 2))) (+ (/ 1/2 (* (pow N 2) (pow (log (/ 1 N)) 2))) (* 2 (/ 1 (log (/ 1 N))))))
(- (+ (/ 1 (* N (pow (log (/ 1 N)) 2))) (* 1/3 (/ 1 (* (pow N 3) (pow (log (/ 1 N)) 2))))) (+ (* 2 (/ 1 (log (/ 1 N)))) (* 1/2 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))
(* -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 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)
(- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)
(* -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 (- (* 1/2 (/ 1 N)) 1)))
(* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
(* -1 (* N (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
(* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))
(* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow N 2)))) (pow N 2))) 2) N))
(* -1 (/ (- (* -1 (/ (+ 2/5 (* 2/7 (/ 1 (pow N 2)))) (pow N 4))) (+ 2 (* 2/3 (/ 1 (pow N 2))))) N))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 N))) N)) 2) N)))
(/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))
(+ (* -1 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))
(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)) (+ (* -2 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* 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) (+ (* -2 (log (/ -1 N))) (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* 2 (log -1)))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) N))) (* -2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))
(+ (* -1 (/ (- (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -1 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (/ (log -1) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)) (+ (* -2 (/ (- (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)) (+ (* -2 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* 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) (+ (* -2 (log (/ -1 N))) (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* 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)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* 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) (+ (* -2 (log (/ -1 N))) (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* 2 (log -1)))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4))))) N)) (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (+ (* -2 (/ (- (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* -2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* 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) (+ (* -2 (log (/ -1 N))) (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* 2 (log -1)))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) N))) (* -2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* 2 (log -1))))) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))
(+ (* -2 (log (/ -1 N))) (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* 2 (log -1))))
(+ (* -2 (log (/ -1 N))) (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (+ (* 2 (log -1)) (* 2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))))))
(+ (* -2 (log (/ -1 N))) (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (+ (* -1 (/ (+ (* -2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N))) N)) (* 2 (log -1)))))
(+ (* -2 (log (/ -1 N))) (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (+ (* -1 (/ (+ (* -2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (/ (log -1) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N)) (+ (* 2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))) N)) (* 2 (log -1)))))
(+ (* -2 (log (/ -1 N))) (* 2 (log -1)))
(+ (* -2 (log (/ -1 N))) (+ (* 2 (log -1)) (/ 1 N)))
(+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) (* 2 (log -1))))
(+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) (* 2 (log -1))))
(+ (log -1) (* -1 (log (/ -1 N))))
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)
(* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
(* (pow N 2) (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))))
(* -1 (* (pow N 3) (- (* 1/2 (/ 1 N)) 1)))
(* -1 (* (pow N 3) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
(* -1 (* (pow N 3) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 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))
(/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* 2 (/ (log -1) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (/ 1 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))
(+ (* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (* 2 (/ (log -1) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))
(+ (* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (* 2 (/ (log -1) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))

Calls

3 calls:

Time

Variable

Point

Expression

17.0ms

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

15.0ms

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

11.0ms

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

simplify156.0ms (1.8%)

Memory

-16.9MiB live, 136.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	692	4466
1	2093	3999
2	7086	3970
0	8196	3744

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

rewrite201.0ms (2.3%)

Memory

35.5MiB live, 186.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	507
0	108	492
1	524	448
2	4107	447
0	10078	440

Stop Event

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

Counts

29 → 613

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

eval150.0ms (1.7%)

Memory: -4.5MiB live, 192.9MiB allocated
Compiler: Compiled 46 024 to 4 203 computations (90.9% saved)

prune62.0ms (0.7%)

Memory

-5.7MiB live, 109.6MiB allocated

Pruning

46 alts after pruning (42 fresh and 4 done)

	Pruned	Kept	Total
New	938	25	963
Fresh	13	17	30
Picked	4	1	5
Done	2	3	5
Total	957	46	1 003

Accuracy

99.8%

Counts

1 003 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.0%	(fma.f64 (/.f64 (log1p.f64 N) (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (log1p.f64 N) (sqrt.f64 (+.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))))
	25.0%	(fma.f64 (sqrt.f64 (pow.f64 (/.f64 (log1p.f64 N) (sqrt.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (log1p.f64 N) (sqrt.f64 (+.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))))
✓	24.4%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	25.0%	(/.f64 (fma.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)))) (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	24.8%	(/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
	25.0%	(/.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (log1p.f64 N) (neg.f64 (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) #s(literal -2 binary64)))) (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
	23.4%	(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 N) (log1p.f64 N)) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal -1 binary64)) (.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (log1p.f64 N))) (+.f64 (log.f64 N) (log1p.f64 N))))
	23.4%	(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 N) (log1p.f64 N)) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (log.f64 (fma.f64 N N N))))
	22.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))))
✓	22.6%	(/.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)))
	22.8%	(/.f64 (-.f64 (.f64 #s(literal 1 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))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
	25.0%	(/.f64 (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64)) #s(literal -1 binary64))) (.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))
	22.7%	(/.f64 (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (+.f64 #s(literal -1 binary64) (.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))) (.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
	25.5%	(+.f64 (neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) N)))
	24.3%	(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64)))) (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64)))) (log1p.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))))
	24.8%	(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64)))) (neg.f64 (log.f64 (/.f64 N (-.f64 N #s(literal 1 binary64))))))
	24.3%	(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 N #s(literal 1 binary64)))) (log1p.f64 (neg.f64 (pow.f64 N #s(literal -1 binary64)))))
✓	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)))
	33.0%	(+.f64 #s(approx (log (/ (+ 1 N) (- N 1))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 N N))) (/.f64 (+.f64 (/.f64 #s(literal 2/7 binary64) (.f64 N N)) #s(literal 2/5 binary64)) (pow.f64 N #s(literal 4 binary64)))) (neg.f64 N))) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) N)))
	32.4%	(+.f64 #s(approx (log (/ (+ 1 N) (- N 1))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 N N)) #s(literal 2/3 binary64)) N) N)) (neg.f64 N))) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) N)))
	33.0%	(+.f64 #s(approx (log (/ (+ 1 N) (- N 1))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2/7 binary64) (pow.f64 N #s(literal 6 binary64))) (/.f64 #s(literal 2/3 binary64) (*.f64 N N)))) N)) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) N)))
	22.7%	(neg.f64 (-.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (+.f64 #s(literal 1 binary64) N))) (log.f64 (-.f64 N #s(literal 1 binary64)))))
	25.0%	(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))))))
	22.7%	(neg.f64 (+.f64 (log.f64 (/.f64 N (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (-.f64 N #s(literal 1 binary64)))))
	25.6%	(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
	25.1%	(log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) N)))
	25.2%	(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
	3.3%	#s(approx (/ (+ (* -1 (+ (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 N) -2)) (+ (log N) (log (+ 1 N))))) #s(literal 0 binary64))
	95.4%	#s(approx (- (log (+ N 1)) (log N)) (pow.f64 (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) N)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	91.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) #s(literal -1/2 binary64)) N) N) N))
	94.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	95.5%	#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))
	93.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) (.f64 N #s(literal -1 binary64))) (.f64 N N)))
	91.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) #s(literal -1/2 binary64)) N) (*.f64 N N)))
	91.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (.f64 (-.f64 #s(approx ( (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) #s(literal -1/2 binary64)) N) (+.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) #s(literal -1/2 binary64)) N)) (.f64 (.f64 N N) (-.f64 #s(approx (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) #s(literal -1/2 binary64)) N))))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N -1)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 N N))) (.f64 N N)))
	92.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))))
	94.7%	#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 N (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) N)))))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.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)) N))))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 #s(approx (+ ( (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) N) N #s(literal 1/12 binary64)) N #s(literal -1/24 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 N)))))
	92.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 #s(approx (+ ( (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))) (neg.f64 N)))))
	95.8%	#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 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N)))))
	94.6%	#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)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) N)))))
✓	85.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	95.4%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))
	91.6%	#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (.f64 (log.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) N))) #s(literal -1 binary64))))

Compiler

Compiled 4 686 to 1 465 computations (68.7% saved)

regimes47.0ms (0.5%)

Memory

13.3MiB live, 56.2MiB allocated

Counts

94 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

25.0ms	N
18.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes20.0ms (0.2%)

Memory

-8.4MiB live, 29.7MiB allocated

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

10.0ms	N
9.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes22.0ms (0.3%)

Memory

-8.9MiB live, 27.6MiB allocated

Counts

37 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

13.0ms	N
7.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes17.0ms (0.2%)

Memory

25.8MiB live, 25.8MiB allocated

Counts

34 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.9%	1	`N`
95.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes17.0ms (0.2%)

Memory

-17.8MiB live, 19.6MiB allocated

Counts

24 → 1

Calls

Call 1

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

Calls

2 calls:

9.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
6.0ms	N

Results

Accuracy	Segments	Branch
95.8%	1	`N`
95.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes10.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

17 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes14.0ms (0.2%)

Memory

-29.3MiB live, 15.3MiB allocated

Counts

16 → 1

Calls

Call 1

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

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 N (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) N)))))

Calls

2 calls:

9.0ms	N
4.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
94.7%	1	`N`
94.7%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.6%	1	`N`
94.6%	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

12.4MiB live, 12.4MiB allocated

Counts

12 → 1

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
94.1%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
94.1%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.1%)

Memory

-27.6MiB live, 11.9MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
93.9%	1	`N`
93.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.3%	1	`N`
92.3%	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

9.0MiB live, 9.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
91.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
91.6%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
91.3%	1	`N`
91.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
85.0%	1	`N`
85.0%	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

5.2MiB live, 5.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch2.0ms (0%)

Memory

-38.0MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0008773712798824107	0.0020980689579168654

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0008773712798824107	0.0020980689579168654

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0008773712798824107	0.0020980689579168654

Compiler

Compiled 10 to 10 computations (0% saved)

simplify50.0ms (0.6%)

Memory

10.1MiB live, 48.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	137	604
1	244	590
2	453	584
3	1359	556
4	6391	549

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

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

soundness1.6s (18.6%)

Memory

19.8MiB live, 776.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	347
0	81	305
1	345	294
2	2700	286
0	9175	283
0	42	266
0	74	224
1	352	193
2	2854	187
0	8906	187
0	68	507
0	108	492
1	524	448
2	4107	447
0	10078	440
0	88	258
1	250	234
2	588	233
3	1601	227
4	4231	223
5	6313	223
6	7369	223
0	8152	214
0	827	6544
1	2571	6010
0	8429	5696
0	692	4466
1	2093	3999
2	7086	3970
0	8196	3744
0	6	16
0	10	15
1	42	15
2	269	15
3	2628	15
0	8874	12

Stop Event

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

Compiler

Compiled 1 235 to 629 computations (49.1% saved)

preprocess191.0ms (2.2%)

Memory: -18.6MiB live, 187.4MiB allocated
Compiler: Compiled 1 276 to 334 computations (73.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	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%)

sample1.8s (20.7%)

explain115.0ms (1.3%)

preprocess21.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize37.0ms (0.4%)

series88.0ms (1%)

simplify201.0ms (2.3%)

rewrite205.0ms (2.4%)

eval141.0ms (1.6%)

prune18.0ms (0.2%)

simplify147.0ms (1.7%)

localize204.0ms (2.4%)

series108.0ms (1.3%)

simplify255.0ms (2.9%)

rewrite305.0ms (3.5%)

eval562.0ms (6.5%)

prune101.0ms (1.2%)

simplify143.0ms (1.7%)

localize231.0ms (2.7%)

series91.0ms (1.1%)

simplify249.0ms (2.9%)

rewrite247.0ms (2.9%)

eval268.0ms (3.1%)

prune66.0ms (0.8%)

simplify104.0ms (1.2%)

localize292.0ms (3.4%)

series46.0ms (0.5%)

simplify156.0ms (1.8%)

rewrite201.0ms (2.3%)

eval150.0ms (1.7%)

prune62.0ms (0.7%)

regimes47.0ms (0.5%)

regimes20.0ms (0.2%)

regimes22.0ms (0.3%)

regimes17.0ms (0.2%)

regimes17.0ms (0.2%)

regimes10.0ms (0.1%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify50.0ms (0.6%)

soundness1.6s (18.6%)

preprocess191.0ms (2.2%)

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