Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

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)

sample1.6s (23.4%)

Memory

67.1MiB live, 2 165.1MiB allocated; 347ms collecting garbage

Samples

1.2s	7 339×	1	valid
56.0ms	917×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 979.0ms

ival-log1p: 341.0ms (34.8% of total)

ival-log: 263.0ms (26.9% of total)

adjust: 215.0ms (22% of total)

ival-sub: 86.0ms (8.8% of total)

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

ival-<: 23.0ms (2.3% of total)

ival-and: 13.0ms (1.3% of total)

exact: 12.0ms (1.2% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain196.0ms (2.9%)

Memory

-37.7MiB live, 315.2MiB allocated; 33ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
250	1	(58.69926082145465)	1	(12.684427525223345)	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
0	0	-	0	-	`N`
0	0	-	0	-	`(log.f64 N)`
0	0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	0	-	0	-	`(log.f64 (+.f64 N #s(literal 1 binary64)))`
0	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	250	1

Confusion

	Predicted +	Predicted -
+	249	1
-	1	5

Precision

0.996

Recall

0.996

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	249	1	0
-	1	0	5

Precision?

0.9960159362549801

Recall?

1.0

Freqs

test

number	freq
0	6
1	250

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

117.0ms	452×	1	valid
4.0ms	60×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-log1p: 54.0ms (52.9% of total)

adjust: 22.0ms (21.6% of total)

ival-log: 15.0ms (14.7% of total)

ival-add: 5.0ms (4.9% of total)

ival-sub: 5.0ms (4.9% of total)

ival-true: 1.0ms (1% of total)

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

exact: 0.0ms (0% of total)

preprocess250.0ms (3.7%)

Memory

17.6MiB live, 201.1MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	16	26
2	19	26
3	33	26
4	76	26
5	321	24
6	2820	24
7	6223	24
0	6	7
0	10	7
1	13	7
2	16	7
3	27	7
4	61	7
5	252	7
6	2195	7
7	5491	7
0	8635	5

Stop Event

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

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; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.6%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify158.0ms (2.3%)

Memory

14.0MiB live, 247.0MiB allocated; 24ms collecting garbage

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	13	18
2	16	18
3	27	18
4	61	18
5	252	18
6	2195	18
7	5491	18
0	8635	14

Stop Event

1×	iter limit
1×	node limit
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 N #s(literal -1 binary64))
N
#s(literal 1 binary64)
(log.f64 N)

localize98.0ms (1.4%)

Memory

-29.1MiB live, 90.2MiB allocated; 85ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 N #s(literal 1 binary64))
accuracy	0.0	(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	0.0	(log.f64 N)
accuracy	48.91879933731735	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

48.0ms	226×	1	valid
2.0ms	30×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-log1p: 11.0ms (38.4% of total)

ival-log: 7.0ms (24.5% of total)

adjust: 6.0ms (21% of total)

ival-sub: 3.0ms (10.5% of total)

ival-add: 1.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series52.0ms (0.8%)

Memory

-12.8MiB live, 78.4MiB allocated; 7ms collecting garbage

Counts

4 → 30

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
#s(approx (log (+ N 1)) #s(hole binary64 N))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (log (+ N 1)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))

Calls

3 calls:

Time	Variable		Point	Expression
26.0ms	N	@	0	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
19.0ms	N	@	-inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
7.0ms	N	@	inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))

simplify206.0ms (3%)

Memory

32.4MiB live, 208.6MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	444
1	288	415
2	740	414
3	2912	410
0	8287	355

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 30

Calls

Call 1

Inputs
#s(approx (log (+ N 1)) #s(hole binary64 N))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (log (+ N 1)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))

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

rewrite53.0ms (0.8%)

Memory

-7.1MiB live, 100.4MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	15
1	41	15
0	287	12

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 24

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

eval5.0ms (0.1%)

Memory: 20.3MiB live, 20.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 733 to 188 computations (74.4% saved)

prune6.0ms (0.1%)

Memory

-29.9MiB live, 16.2MiB allocated; 2ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	41	8	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	8	50

Accuracy

99.3%

Counts

50 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	23.3%	(/.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)))
▶	23.6%	(-.f64 (log1p.f64 N) (log.f64 N))
	26.7%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
▶	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
▶	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
	92.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
▶	84.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 232 to 164 computations (29.3% saved)

simplify130.0ms (1.9%)

Memory

32.4MiB live, 127.4MiB allocated; 8ms collecting garbage

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	235
0	63	229
1	103	229
2	205	229
3	529	229
4	1327	229
5	4194	229
6	7467	229
0	8065	229

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

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

localize252.0ms (3.7%)

Memory

-0.6MiB live, 332.5MiB allocated; 59ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.5729675781475362	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.7191964356003986	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
accuracy	0.7570077637479349	(pow.f64 (log.f64 N) #s(literal 3 binary64))
accuracy	48.22529741179007	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
accuracy	0.0	(log.f64 N)
accuracy	0.0078125	(log1p.f64 N)
accuracy	48.91879933731735	(-.f64 (log1p.f64 N) (log.f64 N))
accuracy	0.00390625	(+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
accuracy	0.21160126953688405	(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))
accuracy	0.40625	(/.f64 #s(literal 1/3 binary64) N)
accuracy	2.9652319544621446	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) N)
accuracy	9.88702973755592	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy	0.078125	(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
accuracy	0.12337875976844202	(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.328125	(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.0985712839400623	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))

Samples

196.0ms	228×	1	valid
7.0ms	28×	0	valid

Compiler

Compiled 231 to 34 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

adjust: 42.0ms (27.2% of total)

ival-log1p: 29.0ms (18.8% of total)

ival-div: 21.0ms (13.6% of total)

ival-sub: 18.0ms (11.6% of total)

ival-add: 9.0ms (5.8% of total)

ival-pow: 8.0ms (5.2% of total)

const: 7.0ms (4.5% of total)

ival-log: 7.0ms (4.5% of total)

ival-mult: 6.0ms (3.9% of total)

ival-pow2: 5.0ms (3.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series66.0ms (1%)

Memory

-11.8MiB live, 81.7MiB allocated; 33ms collecting garbage

Counts

21 → 148

Calls

Call 1

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

Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (+ 1 N)) #s(hole binary64 N))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (* -1 (log N))))
#s(approx (/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))))
#s(approx (/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))) (log N))) (* -1 (/ (- (* 1/3 (log N)) 1) (log N)))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))))
#s(approx (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) #s(hole binary64 (* -1 (pow (log N) 3))))
#s(approx (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) #s(hole binary64 (- (pow N 3) (pow (log N) 3))))
#s(approx (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) #s(hole binary64 (- (* (pow N 3) (+ 1 (* -3/2 N))) (pow (log N) 3))))
#s(approx (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) #s(hole binary64 (- (* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2)))) (pow (log N) 3))))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* -3/2 N)))))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (/ -1/4 N)))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx (pow (log N) 3) #s(hole binary64 (pow (log N) 3)))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (pow N 2)))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 N)))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 1))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 N))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (+ 1 N)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ 1 N)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (/ (- (+ 1 (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* -1/2 (/ (pow (log (/ 1 N)) 2) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* -1 (/ (log (/ 1 N)) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) N)))
#s(approx (/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (/ (- (+ 1 (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* 2 (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))))) (+ (* -1 (/ (log (/ 1 N)) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 1/2 (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* -1/2 (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* -1 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))) N)))
#s(approx (/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (/ (- (+ 1 (+ (* -4/3 (/ (log (/ 1 N)) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 11/12 (* 1/2 (log (/ 1 N))))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1/4 (/ (pow (log (/ 1 N)) 2) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* 2 (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))))))))) (+ (* -1 (/ (log (/ 1 N)) (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -2/3 (/ (log (/ 1 N)) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1/3 (/ (log (/ 1 N)) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 1/2 (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (/ (log (/ 1 N)) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ (* (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))) (- (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* -1/2 (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* -1 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* -1/2 (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* -1 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* 2 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (+ (* 1/2 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* -1/2 (/ (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* -1 (/ (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))))))) N)))
#s(approx (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) #s(hole binary64 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) N)))
#s(approx (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) #s(hole binary64 (/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) N)))
#s(approx (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) #s(hole binary64 (/ (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 2))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (pow (log (/ 1 N)) 2))))))))) N)))
#s(approx (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) #s(hole binary64 (/ (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -4/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 11/12 (* 1/2 (log (/ 1 N))))) (pow N 3))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) N)) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (pow N 3))) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) N)) (+ (* -1/4 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (pow (log (/ 1 N)) 2))))))))))))) (/ 1 (pow N 3))) N)))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (* -1 (pow (log (/ 1 N)) 3))))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N)))))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (/ (pow (log (/ 1 N)) 2) N))))))))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (+ (* -2 (/ (log (/ 1 N)) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* -1 (/ (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3))) (+ (* -1 (pow (log (/ 1 N)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 1/3 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (+ (* 2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ 1 (pow N 3)) (/ (pow (log (/ 1 N)) 2) N))))))))))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 1/3))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (- 1/3 (* 1/4 (/ 1 N)))))
#s(approx (pow (log N) 3) #s(hole binary64 (* -1 (pow (log (/ 1 N)) 3))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (pow (log (/ 1 N)) 2)))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (- (+ (* -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)))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
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#s(approx (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) #s(hole binary64 (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
#s(approx (pow (log N) 3) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole 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))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))

Calls

3 calls:

Time	Variable		Point	Expression
30.0ms	N	@	inf	((- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (pow (log (+ 1 N)) 3) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ 1/3 N) (pow (log N) 3) (pow (log (+ 1 N)) 2))
21.0ms	N	@	-inf	((- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (pow (log (+ 1 N)) 3) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ 1/3 N) (pow (log N) 3) (pow (log (+ 1 N)) 2))
10.0ms	N	@	0	((- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (- (log (+ N 1)) (log N)) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (pow (log (+ 1 N)) 3) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ 1/3 N) (pow (log N) 3) (pow (log (+ 1 N)) 2))

Time

Variable

Point

Expression

30.0ms

inf

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

21.0ms

-inf

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

10.0ms

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

simplify238.0ms (3.5%)

Memory

26.8MiB live, 260.5MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	738	7848
1	2222	6433
0	8576	6004

Stop Event

1×	iter limit
1×	node limit

Counts

148 → 148

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (+ 1 N)) #s(hole binary64 N))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (* -1 (log N))))
#s(approx (/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))))
#s(approx (/ (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))) (log N))) (* -1 (/ (- (* 1/3 (log N)) 1) (log N)))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))))
#s(approx (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) #s(hole binary64 (* -1 (pow (log N) 3))))
#s(approx (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) #s(hole binary64 (- (pow N 3) (pow (log N) 3))))
#s(approx (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) #s(hole binary64 (- (* (pow N 3) (+ 1 (* -3/2 N))) (pow (log N) 3))))
#s(approx (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) #s(hole binary64 (- (* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2)))) (pow (log N) 3))))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* -3/2 N)))))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (/ -1/4 N)))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx (pow (log N) 3) #s(hole binary64 (pow (log N) 3)))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (pow N 2)))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 N)))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 1))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 N))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (+ 1 N)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ 1 N)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
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#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
#s(approx (pow (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)))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
#s(approx (pow (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))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole 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))))
#s(approx (pow (log (+ 1 N)) 2) (fma.f64 (/.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 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)) N)) N) #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(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (+ (* -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))))
#s(approx (pow (log (+ 1 N)) 2) (+.f64 (/.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))) (neg.f64 N)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))))

rewrite89.0ms (1.3%)

Memory

1.4MiB live, 108.2MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	185
0	63	162
1	279	162
0	2070	162

Stop Event

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

Counts

21 → 238

Calls

Call 1

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

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N)) (.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N))) (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N) (*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)))) (neg.f64 (neg.f64 N)))
(/.f64 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (.f64 N #s(literal -1 binary64))) (*.f64 N N))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)) N))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64))) N))
(/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) (neg.f64 N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) N))
(neg.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (neg.f64 N)))
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N)) (.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/2 binary64) N))) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/2 binary64) N) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (/.f64 #s(literal 1/2 binary64) N)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 N)))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (.f64 N #s(literal 1/2 binary64))) (*.f64 N N))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) (pow.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 2 binary64))) N))
(/.f64 (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64))) (neg.f64 N))
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64))) N))
(neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) (neg.f64 N)))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 N #s(literal -1 binary64)))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) N)
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(exp.f64 (*.f64 (log.f64 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) N) N))
(/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) (neg.f64 N))
(/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (fabs.f64 N)) (fabs.f64 N))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)) (.f64 (/.f64 N (.f64 N N)) (/.f64 N (.f64 N N)))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 N (*.f64 N N))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 N (.f64 N N)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (-.f64 (.f64 (/.f64 N (.f64 N N)) (/.f64 N (.f64 N N))) (.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 N (.f64 N N))))))
(/.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)) (neg.f64 N))
(/.f64 (neg.f64 (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))) (*.f64 N N))
(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (.f64 N N) (pow.f64 N #s(literal 3 binary64))) (.f64 (.f64 N N) (.f64 N N)))
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(-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
(+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64))))
(+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 N)))
(+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(log.f64 (pow.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log1p.f64 N))
(*.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 (log1p.f64 N))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
(+.f64 (cosh.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64)))
(log.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 (/.f64 #s(literal -1/4 binary64) N) N)) (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 2 binary64))) (-.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 #s(literal 1/3 binary64) N)))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 #s(literal 1/3 binary64) N)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))) (neg.f64 (neg.f64 N)))
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) N) (neg.f64 N) (.f64 N #s(literal -1/3 binary64))) (.f64 (neg.f64 N) N))
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) N) N (.f64 N #s(literal 1/3 binary64))) (.f64 N N))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) N))
(/.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) (neg.f64 N))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)
(neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) N))
(neg.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (neg.f64 N)))
(+.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 #s(literal 1/3 binary64) N))
(+.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 (/.f64 #s(literal -1/4 binary64) N) N))
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64))) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (/.f64 #s(literal -1/12 binary64) N))))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (neg.f64 N)) #s(literal 1/3 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal -1/3 binary64) (neg.f64 N))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1/3 binary64) N)
(neg.f64 (/.f64 #s(literal -1/3 binary64) N))
(neg.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 N)))
(*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 N))
(*.f64 (log.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 (log.f64 N))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(+.f64 (cosh.f64 (.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64)))
(log.f64 (pow.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(*.f64 (neg.f64 (log1p.f64 N)) (neg.f64 (log1p.f64 N)))
(*.f64 (fabs.f64 (log1p.f64 N)) (fabs.f64 (log1p.f64 N)))
(*.f64 (exp.f64 (log.f64 (log1p.f64 N))) (exp.f64 (log.f64 (log1p.f64 N))))
(*.f64 (log1p.f64 N) (log1p.f64 N))
(pow.f64 (exp.f64 (log.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))
(+.f64 (cosh.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) (log1p.f64 N)))

eval60.0ms (0.9%)

Memory: 6.0MiB live, 95.3MiB allocated; 13ms collecting garbage
Compiler: Compiled 16 417 to 1 919 computations (88.3% saved)

prune47.0ms (0.7%)

Memory

-38.5MiB live, 70.2MiB allocated; 22ms collecting garbage

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	396	31	427
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	399	36	435

Accuracy

99.6%

Counts

435 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.7%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log1p.f64 N) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.5%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 N))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.8%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	23.3%	(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	23.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	24.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	23.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))
	23.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))))
✓	23.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	21.3%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 #s(approx (log (+ 1 N)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N)) (log.f64 N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) #s(literal 2 binary64))))
	23.3%	(/.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)))
	23.5%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (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 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	23.5%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.0%	(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	26.7%	(/.f64 (log.f64 (pow.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	96.3%	(/.f64 #s(approx (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (/.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) N) #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 11/12 binary64)) (neg.f64 (log.f64 N))))) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (log.f64 N) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) N) (fma.f64 (log.f64 N) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N))) #s(literal 1 binary64)) (.f64 N N)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) N)) (fma.f64 (/.f64 (.f64 (log.f64 N) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (log.f64 N) (log.f64 N)) (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 N)))) (.f64 N N)) (fma.f64 #s(literal 3 binary64) (.f64 (log.f64 N) (log.f64 N)) (/.f64 #s(literal 1 binary64) (.f64 N N)))))))))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) N)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
✓	23.6%	(-.f64 (log1p.f64 N) (log.f64 N))
	26.7%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	94.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (.f64 N N) (pow.f64 N #s(literal 3 binary64))) (.f64 (.f64 N N) (.f64 N N))))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N))
▶	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N) (*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))))))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
▶	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #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))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 N (/.f64 #s(literal 1/3 binary64) N)) #s(literal 1/2 binary64)) (*.f64 N N)))
	96.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (.f64 N #s(literal -1 binary64))) (*.f64 N N)))
	92.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
	92.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64))))) N))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
▶	84.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))
✓	84.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
▶	96.6%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (.f64 N N))))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))
	94.9%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))))

Compiler

Compiled 2 488 to 1 297 computations (47.9% saved)

simplify125.0ms (1.8%)

Memory

2.0MiB live, 135.6MiB allocated; 22ms collecting garbage

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	735
0	97	711
1	193	688
2	557	636
3	2273	629
0	8360	629

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

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

localize442.0ms (6.5%)

Memory

-1.8MiB live, 290.7MiB allocated; 40ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.35546875	(pow.f64 (log.f64 N) #s(literal 3/2 binary64))
accuracy	0.4668350586106521	(*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))
accuracy	0.5729675781475362	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	46.87737302672114	(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log1p.f64 N) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64))))
accuracy	0.49447250976844204	(fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N) (*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
accuracy	0.7094689942110507	(pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64))
accuracy	0.7309915528217029	(pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))
accuracy	2.0985712839400623	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N) (*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))))))
accuracy	0.12890625	(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))
accuracy	0.24609375	(/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N)
accuracy	0.328125	(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)
accuracy	2.0985712839400623	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
accuracy	0.0	(*.f64 N N)
accuracy	0.21160126953688405	(/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N))
accuracy	2.9652319544621446	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))
accuracy	9.901194112019866	#s(approx (+ (- (/ 1/3 N) 1/2) N) N)
accuracy	0.078125	(/.f64 (-.f64 (/.f64 (-.f64 #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))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
accuracy	0.35546875	(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))
accuracy	0.3828125	(fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64))
accuracy	2.0985712839400623	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #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))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))

Samples

381.0ms	231×	1	valid
10.0ms	25×	0	valid

Compiler

Compiled 590 to 54 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 341.0ms

ival-pow: 70.0ms (20.5% of total)

ival-sub: 69.0ms (20.2% of total)

ival-div: 56.0ms (16.4% of total)

adjust: 48.0ms (14.1% of total)

ival-add: 34.0ms (10% of total)

ival-mult: 33.0ms (9.7% of total)

ival-log1p: 9.0ms (2.6% of total)

const: 7.0ms (2.1% of total)

ival-log: 7.0ms (2.1% of total)

ival-pow2: 5.0ms (1.5% of total)

ival-neg: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

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

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

series68.0ms (1%)

Memory

23.5MiB live, 69.2MiB allocated; 8ms collecting garbage

Counts

25 → 171

Calls

Call 1

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

Outputs
#s(approx (/ (+ (* 1/3 N) -1/4) (* N N)) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (+ (* 1/3 N) -1/4) (* N N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)))) #s(hole binary64 (/ 1/16 (pow N 8))))
#s(approx (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)))) #s(hole binary64 (/ (+ 1/16 (* -1/6 N)) (pow N 8))))
#s(approx (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)))) #s(hole binary64 (/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 8))))
#s(approx (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)))) #s(hole binary64 (/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 8))))
#s(approx (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N))) #s(hole binary64 (/ 1/4 (pow N 5))))
#s(approx (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N))) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 5))))
#s(approx (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N))) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 5))))
#s(approx (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N))) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 N)) 1/3))) (pow N 5))))
#s(approx (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ 1/4 (pow N 5))))
#s(approx (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 5))))
#s(approx (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 5))))
#s(approx (* (neg (pow (log N) 3/2)) (pow (log N) 3/2)) #s(hole binary64 (* -1 (pow (log N) 3))))
#s(approx (+ (* (pow (log (+ 1 N)) 2) (log (+ 1 N))) (* (neg (pow (log N) 3/2)) (pow (log N) 3/2))) #s(hole binary64 (* -1 (pow (log N) 3))))
#s(approx (+ (* (pow (log (+ 1 N)) 2) (log (+ 1 N))) (* (neg (pow (log N) 3/2)) (pow (log N) 3/2))) #s(hole binary64 (+ (* -1 (pow (log N) 3)) (pow N 3))))
#s(approx (+ (* (pow (log (+ 1 N)) 2) (log (+ 1 N))) (* (neg (pow (log N) 3/2)) (pow (log N) 3/2))) #s(hole binary64 (+ (* -1 (pow (log N) 3)) (* (pow N 3) (+ 1 (* -3/2 N))))))
#s(approx (+ (* (pow (log (+ 1 N)) 2) (log (+ 1 N))) (* (neg (pow (log N) 3/2)) (pow (log N) 3/2))) #s(hole binary64 (+ (* -1 (pow (log N) 3)) (* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2)))))))
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (log (+ 1 N))) (* (neg (pow (log N) 3/2)) (pow (log N) 3/2))) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (* -1 (log N))))
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (log (+ 1 N))) (* (neg (pow (log N) 3/2)) (pow (log N) 3/2))) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (log (+ 1 N))) (* (neg (pow (log N) 3/2)) (pow (log N) 3/2))) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))))
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (log (+ 1 N))) (* (neg (pow (log N) 3/2)) (pow (log N) 3/2))) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))) (log N))) (* -1 (/ (- (* 1/3 (log N)) 1) (log N)))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (pow N 2)))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 N)))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))))
#s(approx (+ (* 1/3 N) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* 1/3 N) -1/4) #s(hole binary64 (- (* 1/3 N) 1/4)))
#s(approx (/ (+ 1/3 (/ -1/4 N)) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (+ 1/3 (/ -1/4 N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (pow (/ -1 N) 3) #s(hole binary64 (/ -1 (pow N 3))))
#s(approx (pow (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) 3) #s(hole binary64 (/ -1/64 (pow N 12))))
#s(approx (pow (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* 1/16 N) 1/64) (pow N 12))))
#s(approx (pow (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 12))))
#s(approx (pow (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 12))))
#s(approx (pow (log N) 3/2) #s(hole binary64 (sqrt (pow (log N) 3))))
#s(approx (/ (+ (* 1/3 N) -1/4) (* N N)) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (+ (* 1/3 N) -1/4) (* N N)) #s(hole binary64 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 1))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 N))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2))))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) (pow N 2))))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)))
#s(approx (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)))) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)))) #s(hole binary64 (/ (+ 1 (* 1/2 (/ 1 N))) (pow N 2))))
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#s(approx (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)))) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) (pow N 2))) (* 1/2 (/ 1 N)))) (pow N 2))))
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Calls

3 calls:

Time

Variable

Point

Expression

35.0ms

inf

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

15.0ms

-inf

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

12.0ms

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

simplify233.0ms (3.4%)

Memory

-20.8MiB live, 210.3MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	812	7857
1	2268	6032
0	8821	5752

Stop Event

1×	iter limit
1×	node limit

Counts

171 → 171

Calls

Call 1

Inputs
#s(approx (/ (+ (* 1/3 N) -1/4) (* N N)) #s(hole binary64 (/ -1/4 (pow N 2))))
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-3/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)))) (-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.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 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 0 binary64) (.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64)) (-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.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 0 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal -3 binary64))) (-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (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)))))))) (neg.f64 N)))) (fma.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64)) (-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.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 0 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal -3 binary64))) (-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (.f64 (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 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)))) (neg.f64 N))) (.f64 (*.f64 #s(literal 0 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal -3 binary64))) N) #s(literal -1 binary64) #s(literal 0 binary64)))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
#s(approx (pow (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)))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
#s(approx (pow (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))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole 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))))
#s(approx (pow (log (+ 1 N)) 2) (fma.f64 (/.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 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)) N)) N) #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(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (+ (* -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))))
#s(approx (pow (log (+ 1 N)) 2) (fma.f64 (/.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) #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(approx (+ (* 1/3 N) -1/4) #s(hole binary64 (* -1 (* N (- (* 1/4 (/ 1 N)) 1/3)))))
#s(approx (+ (* 1/3 N) -1/4) (*.f64 (neg.f64 N) (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))))
#s(approx (/ (+ 1/3 (/ -1/4 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
#s(approx (/ (+ 1/3 (/ -1/4 N)) N) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)))
#s(approx (pow (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* -1 (/ (- (* 17/48 (/ 1 N)) 1/4) N)) 1/8) (pow N 6))))
#s(approx (pow (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) 3) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 17/48 binary64) N) #s(literal 1/4 binary64)) (neg.f64 N)) #s(literal 1/8 binary64)) (pow.f64 N #s(literal 6 binary64))))
#s(approx (pow (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* 31/108 (/ 1 N)) 17/48) N)) 1/4) N)) 1/8) (pow N 6))))
#s(approx (pow (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) 3) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 31/108 binary64) N) #s(literal 17/48 binary64)) N) #s(literal -1 binary64) #s(literal -1/4 binary64)) (neg.f64 N)) #s(literal 1/8 binary64)) (pow.f64 N #s(literal 6 binary64))))
#s(approx (pow (log N) 3/2) #s(hole binary64 (sqrt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))
#s(approx (pow (log N) 3/2) (sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))))

rewrite271.0ms (4%)

Memory

4.3MiB live, 289.9MiB allocated; 77ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	467
0	97	374
1	465	336
0	4372	334

Stop Event

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

Counts

25 → 446

Calls

Call 1

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

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

eval180.0ms (2.6%)

Memory: 37.6MiB live, 319.0MiB allocated; 39ms collecting garbage
Compiler: Compiled 61 555 to 4 226 computations (93.1% saved)

prune55.0ms (0.8%)

Memory

9.5MiB live, 103.3MiB allocated; 19ms collecting garbage

Pruning

42 alts after pruning (36 fresh and 6 done)

	Pruned	Kept	Total
New	877	15	892
Fresh	7	21	28
Picked	2	3	5
Done	0	3	3
Total	886	42	928

Accuracy

99.6%

Counts

928 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.4%	(fma.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (-.f64 (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.8%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.9%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
▶	25.3%	(/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.3%	(/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (log.f64 N) #s(literal 3/4 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.2%	(/.f64 (fma.f64 (exp.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64))) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	23.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	24.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	23.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))
	23.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))))
✓	23.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	21.3%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 #s(approx (log (+ 1 N)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N)) (log.f64 N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) #s(literal 2 binary64))))
	23.3%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log1p.f64 N) (log.f64 N)))
	23.5%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (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 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	23.5%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.0%	(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	26.7%	(/.f64 (log.f64 (pow.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	96.3%	(/.f64 #s(approx (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (/.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) N) #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 11/12 binary64)) (neg.f64 (log.f64 N))))) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (log.f64 N) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) N) (fma.f64 (log.f64 N) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N))) #s(literal 1 binary64)) (.f64 N N)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) N)) (fma.f64 (/.f64 (.f64 (log.f64 N) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (log.f64 N) (log.f64 N)) (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 N)))) (.f64 N N)) (fma.f64 #s(literal 3 binary64) (.f64 (log.f64 N) (log.f64 N)) (/.f64 #s(literal 1 binary64) (.f64 N N)))))))))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) N)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
✓	23.6%	(-.f64 (log1p.f64 N) (log.f64 N))
	26.7%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
▶	3.3%	#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (log (+ 1 N))) (* (neg (pow (log N) 3/2)) (pow (log N) 3/2))) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(literal 0 binary64))
▶	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N (*.f64 (neg.f64 N) #s(literal -1 binary64))) N) N))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N))
	96.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (.f64 N N))) (fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N) (.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))))))
▶	96.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) #s(approx (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) #s(literal 1/2 binary64)) N)) (.f64 N N)))))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
✓	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #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))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 N (/.f64 #s(literal 1/3 binary64) N)) #s(literal 1/2 binary64)) (*.f64 N N)))
	96.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) (.f64 (neg.f64 N) N)))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) (neg.f64 N)) (.f64 (.f64 N N) #s(literal 1 binary64))) (.f64 (*.f64 N N) (neg.f64 N))))
	92.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
	92.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
✓	84.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))
✓	84.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
✓	96.6%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (.f64 N N))))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
▶	95.2%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
	92.3%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))

Compiler

Compiled 2 902 to 1 547 computations (46.7% saved)

simplify200.0ms (2.9%)

Memory

-42.2MiB live, 163.8MiB allocated; 104ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 N)
cost-diff	0	(pow.f64 (log.f64 N) #s(literal 3/2 binary64))
cost-diff	0	(/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
cost-diff	5	(fma.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))
cost-diff	0	(-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) #s(approx (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) #s(literal 1/2 binary64)) N)) (.f64 N N))))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) #s(approx (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) #s(literal 1/2 binary64)) N)) (.f64 N N)))))
cost-diff	2	(+.f64 (/.f64 #s(literal 1/12 binary64) N) (/.f64 #s(literal 1/12 binary64) (*.f64 N N)))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N))
cost-diff	0	#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)))
cost-diff	0	(-.f64 #s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
cost-diff	0	#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (log (+ 1 N))) (* (neg (pow (log N) 3/2)) (pow (log N) 3/2))) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(literal 0 binary64))
cost-diff	0	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N (*.f64 (neg.f64 N) #s(literal -1 binary64))) N) N))
cost-diff	1	(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N (*.f64 (neg.f64 N) #s(literal -1 binary64))) N)
cost-diff	2	(fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N (*.f64 (neg.f64 N) #s(literal -1 binary64)))
cost-diff	3	(*.f64 (neg.f64 N) #s(literal -1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	810
0	139	785
1	256	736
2	684	690
3	3035	678
0	8418	677

Stop Event

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

Calls

Call 1

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

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

localize447.0ms (6.6%)

Memory

26.3MiB live, 641.1MiB allocated; 59ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.35546875	(pow.f64 (log.f64 N) #s(literal 3/2 binary64))
accuracy	0.5729675781475362	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.7191964356003986	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
accuracy	47.22639189028671	(fma.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))
accuracy	0.7094689942110507	(pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64))
accuracy	0.7309915528217029	(pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))
accuracy	2.0985712839400623	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) #s(approx (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) #s(literal 1/2 binary64)) N)) (.f64 N N)))))
accuracy	2.166572414648754	#s(approx (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) #s(literal 1/2 binary64)) N)) (.f64 N N)))
accuracy	0.26953125	(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N))
accuracy	0.40625	(/.f64 #s(literal 1/3 binary64) N)
accuracy	2.0985712839400623	#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
accuracy	4.976918514399707	#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)))
accuracy	61.90081128310998	#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (log (+ 1 N))) (* (neg (pow (log N) 3/2)) (pow (log N) 3/2))) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(literal 0 binary64))
accuracy	0.0859375	(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N (*.f64 (neg.f64 N) #s(literal -1 binary64))) N)
accuracy	0.12337875976844202	(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.328125	(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.0985712839400623	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N (*.f64 (neg.f64 N) #s(literal -1 binary64))) N) N))

Samples

354.0ms	231×	1	valid
15.0ms	25×	0	valid

Compiler

Compiled 640 to 68 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 270.0ms

adjust: 62.0ms (23% of total)

ival-div: 50.0ms (18.5% of total)

ival-pow: 40.0ms (14.8% of total)

ival-mult: 28.0ms (10.4% of total)

ival-add: 26.0ms (9.6% of total)

ival-sub: 22.0ms (8.1% of total)

const: 15.0ms (5.6% of total)

ival-log1p: 10.0ms (3.7% of total)

ival-log: 7.0ms (2.6% of total)

ival-pow2: 5.0ms (1.9% of total)

ival-neg: 4.0ms (1.5% of total)

exact: 1.0ms (0.4% of total)

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

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

series47.0ms (0.7%)

Memory

19.5MiB live, 64.0MiB allocated; 6ms collecting garbage

Counts

25 → 178

Calls

Call 1

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

Outputs
#s(approx (* (neg N) -1) #s(hole binary64 N))
#s(approx (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (* (neg N) -1)) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (* (neg N) -1)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (* (neg N) -1)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (* (neg N) -1)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 2))))
#s(approx (/ (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (* (neg N) -1)) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (* (neg N) -1)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (* (neg N) -1)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (/ (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (* (neg N) -1)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (log (+ 1 N))) (* (neg (pow (log N) 3/2)) (pow (log N) 3/2))) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (* -1 (log N))))
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (log (+ 1 N))) (* (neg (pow (log N) 3/2)) (pow (log N) 3/2))) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (log (+ 1 N))) (* (neg (pow (log N) 3/2)) (pow (log N) 3/2))) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))))
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (log (+ 1 N))) (* (neg (pow (log N) 3/2)) (pow (log N) 3/2))) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))) (log N))) (* -1 (/ (- (* 1/3 (log N)) 1) (log N)))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (- (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ 1/3 N) 1/2) (* N N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- (/ 1/3 N) 1/2) (* N N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (+ (/ 1/12 N) (/ 1/12 (* N N))) #s(hole binary64 (/ 1/12 (pow N 2))))
#s(approx (+ (/ 1/12 N) (/ 1/12 (* N N))) #s(hole binary64 (/ (+ 1/12 (* 1/12 N)) (pow N 2))))
#s(approx (/ (- (pow (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N))))) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (pow (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N))))) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (pow (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N))))) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (pow (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N))))) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (pow (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (/ -1/64 (pow N 12))))
#s(approx (- (pow (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (/ (- (* 1/16 N) 1/64) (pow N 12))))
#s(approx (- (pow (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 12))))
#s(approx (- (pow (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) #s(hole binary64 (/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 12))))
#s(approx (+ (* (pow (log N) 3/2) (neg (pow (log N) 3/2))) (pow (log (+ 1 N)) 3)) #s(hole binary64 (* -1 (pow (log N) 3))))
#s(approx (+ (* (pow (log N) 3/2) (neg (pow (log N) 3/2))) (pow (log (+ 1 N)) 3)) #s(hole binary64 (+ (* -1 (pow (log N) 3)) (pow N 3))))
#s(approx (+ (* (pow (log N) 3/2) (neg (pow (log N) 3/2))) (pow (log (+ 1 N)) 3)) #s(hole binary64 (+ (* -1 (pow (log N) 3)) (* (pow N 3) (+ 1 (* -3/2 N))))))
#s(approx (+ (* (pow (log N) 3/2) (neg (pow (log N) 3/2))) (pow (log (+ 1 N)) 3)) #s(hole binary64 (+ (* -1 (pow (log N) 3)) (* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2)))))))
#s(approx (/ (+ (* (pow (log N) 3/2) (neg (pow (log N) 3/2))) (pow (log (+ 1 N)) 3)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (* -1 (log N))))
#s(approx (/ (+ (* (pow (log N) 3/2) (neg (pow (log N) 3/2))) (pow (log (+ 1 N)) 3)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (/ (+ (* (pow (log N) 3/2) (neg (pow (log N) 3/2))) (pow (log (+ 1 N)) 3)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))))
#s(approx (/ (+ (* (pow (log N) 3/2) (neg (pow (log N) 3/2))) (pow (log (+ 1 N)) 3)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))) (log N))) (* -1 (/ (- (* 1/3 (log N)) 1) (log N)))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (log N))) (/ 1 (log N))))))))))
#s(approx (pow (log N) 3/2) #s(hole binary64 (sqrt (pow (log N) 3))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (/ -1/4 N)))
#s(approx (+ (/ -1/4 N) 1/3) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)))) #s(hole binary64 (/ 1/16 (pow N 8))))
#s(approx (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)))) #s(hole binary64 (/ (+ 1/16 (* -1/6 N)) (pow N 8))))
#s(approx (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)))) #s(hole binary64 (/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 8))))
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#s(approx (pow (log N) 3/2) #s(hole binary64 (sqrt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (/ (+ (/ -1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))))
#s(approx (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)))) #s(hole binary64 (/ (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))) (pow N 2))))
#s(approx (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)))) #s(hole binary64 (/ (+ 1 (* -1 (/ (- (+ (/ 1/12 (pow N 2)) (* 1/12 (/ 1 N))) 1/2) N))) (pow N 2))))
#s(approx (pow (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* -1 (/ (- (* 17/48 (/ 1 N)) 1/4) N)) 1/8) (pow N 6))))
#s(approx (pow (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) 3) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* 31/108 (/ 1 N)) 17/48) N)) 1/4) N)) 1/8) (pow N 6))))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole 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))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))

Calls

3 calls:

Time

Variable

Point

Expression

16.0ms

inf

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

12.0ms

-inf

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

10.0ms

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

simplify221.0ms (3.2%)

Memory

-15.0MiB live, 179.0MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	849	12086
1	2372	8927
0	8391	8420

Stop Event

1×	iter limit
1×	node limit

Counts

178 → 178

Calls

Call 1

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

rewrite163.0ms (2.4%)

Memory

-26.7MiB live, 166.5MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	587
0	139	529
1	577	445
0	5005	442

Stop Event

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

Counts

25 → 358

Calls

Call 1

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

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

eval130.0ms (1.9%)

Memory: -7.0MiB live, 87.9MiB allocated; 14ms collecting garbage
Compiler: Compiled 39 992 to 2 877 computations (92.8% saved)

prune49.0ms (0.7%)

Memory

37.9MiB live, 83.6MiB allocated; 2ms collecting garbage

Pruning

48 alts after pruning (39 fresh and 9 done)

	Pruned	Kept	Total
New	534	9	543
Fresh	1	30	31
Picked	2	3	5
Done	0	6	6
Total	537	48	585

Accuracy

99.6%

Counts

585 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.4%	(fma.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (-.f64 (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.3%	(/.f64 (fma.f64 (pow.f64 (pow.f64 (log.f64 N) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.8%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.9%	(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
✓	25.3%	(/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.1%	(/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (+.f64 (cosh.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.3%	(/.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (log.f64 N) #s(literal 3/4 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.2%	(/.f64 (fma.f64 (exp.f64 (.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64))) (log1p.f64 N) (.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64))) (pow.f64 (log.f64 N) #s(literal 3/2 binary64)))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	23.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log.f64 N) (log1p.f64 N)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	24.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	23.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))
	23.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))))
✓	23.5%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	21.3%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 #s(approx (log (+ 1 N)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N)) (log.f64 N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) #s(literal 2 binary64))))
	23.3%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log1p.f64 N) (log.f64 N)))
	23.5%	(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (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 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	23.5%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	25.0%	(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	26.7%	(/.f64 (log.f64 (pow.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	96.3%	(/.f64 #s(approx (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (/.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 N)) N) #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 11/12 binary64)) (neg.f64 (log.f64 N))))) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (log.f64 N) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) N) (fma.f64 (log.f64 N) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N))) #s(literal 1 binary64)) (.f64 N N)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) (/.f64 (.f64 (log.f64 N) (log.f64 N)) N)) (fma.f64 (/.f64 (.f64 (log.f64 N) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (log.f64 N) (log.f64 N)) (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 N)))) (.f64 N N)) (fma.f64 #s(literal 3 binary64) (.f64 (log.f64 N) (log.f64 N)) (/.f64 #s(literal 1 binary64) (.f64 N N)))))))))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) N)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
✓	23.6%	(-.f64 (log1p.f64 N) (log.f64 N))
	26.7%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
✓	3.3%	#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (log (+ 1 N))) (* (neg (pow (log N) 3/2)) (pow (log N) 3/2))) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(literal 0 binary64))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N #s(approx (* (neg N) -1) N)) N) N))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (*.f64 N (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))) N) N))
	96.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (* (neg 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))) N) N))
	96.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (.f64 N N))) (fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) N) (.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))))))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1 binary64) N)) N)) #s(approx (+ ( (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) #s(literal 1/2 binary64)) N)) (.f64 N N)))))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (neg.f64 N)))) #s(approx (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) #s(literal 1/2 binary64)) N)) (.f64 N N)))))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
✓	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #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))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 N (/.f64 #s(literal 1/3 binary64) N)) #s(literal 1/2 binary64)) (*.f64 N N)))
	96.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) (.f64 (neg.f64 N) N)))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) (neg.f64 N)) (.f64 (.f64 N N) #s(literal 1 binary64))) (.f64 (*.f64 N N) (neg.f64 N))))
	92.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
	92.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N)))
	96.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (pow (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 N #s(literal 3 binary64)))) #s(approx (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) (/.f64 #s(literal 1/12 binary64) (.f64 N N))) #s(literal 1/2 binary64)) N)) (.f64 N N)))))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
✓	84.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))
✓	84.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
✓	96.6%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) (.f64 N N)) (/.f64 (-.f64 #s(literal 1/2 binary64) N) (.f64 N N))))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
✓	95.2%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
	92.3%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (/.f64 #s(literal -1 binary64) N)))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (pow (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) 3) (pow (/ -1 N) 3)) (+ (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N)) (+ (* (/ -1 N) (/ -1 N)) (* (/ (/ (- (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N) N) (/ -1 N))))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))

Compiler

Compiled 4 454 to 1 441 computations (67.6% saved)

regimes33.0ms (0.5%)

Memory

-7.9MiB live, 37.4MiB allocated; 3ms collecting garbage

Counts

64 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

17.0ms	N
12.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.3%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
99.3%	2	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes28.0ms (0.4%)

Memory

-24.2MiB live, 28.5MiB allocated; 6ms collecting garbage

Counts

53 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

13.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
12.0ms	N

Results

Accuracy	Segments	Branch
99.3%	2	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
99.3%	2	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes13.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Counts

26 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

7.0ms	N
5.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
96.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
96.6%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #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
95.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
95.3%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 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
95.1%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
95.1%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.4%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
92.4%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

-40.4MiB live, 6.0MiB allocated; 2ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.2%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
92.2%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (log (+ 1 N))) (* (neg (pow (log N) 3/2)) (pow (log N) 3/2))) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #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 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
84.6%	1	`N`
84.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (log (+ 1 N))) (* (neg (pow (log N) 3/2)) (pow (log N) 3/2))) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(literal 0 binary64))

Outputs
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (log (+ 1 N))) (* (neg (pow (log N) 3/2)) (pow (log N) 3/2))) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(literal 0 binary64))

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch7.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1281.2554406663887	1804.0906512501401

Samples

3.0ms

64×

valid

Compiler

Compiled 266 to 168 computations (36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-log: 1.0ms (59.3% of total)

ival-log1p: 1.0ms (59.3% of total)

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

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

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1281.2554406663887	1804.0906512501401

Compiler

Compiled 162 to 132 computations (18.5% saved)

simplify45.0ms (0.7%)

Memory

-9.9MiB live, 36.1MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	277
1	121	272
2	201	272
3	409	272
4	1025	272
5	4357	272

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 N #s(literal 1550 binary64)) (/.f64 (log.f64 (pow.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #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))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)))
(if (<=.f64 N #s(literal 1550 binary64)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #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))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #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))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (log (+ 1 N))) (* (neg (pow (log N) 3/2)) (pow (log N) 3/2))) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(literal 0 binary64))

Outputs
(if (<=.f64 N #s(literal 1550 binary64)) (/.f64 (log.f64 (pow.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #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))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)))
(if (<=.f64 N #s(literal 1550 binary64)) (log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #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))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #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))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (+ (* (pow (log (+ 1 N)) 2) (log (+ 1 N))) (* (neg (pow (log N) 3/2)) (pow (log N) 3/2))) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(literal 0 binary64))

derivations475.0ms (7%)

Memory

36.4MiB live, 216.9MiB allocated; 36ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 281 to 84 computations (70.1% saved)

preprocess58.0ms (0.8%)

Memory: 15.2MiB live, 59.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 630 to 218 computations (65.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (23.4%)

explain196.0ms (2.9%)

preprocess250.0ms (3.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify158.0ms (2.3%)

localize98.0ms (1.4%)

series52.0ms (0.8%)

simplify206.0ms (3%)

rewrite53.0ms (0.8%)

eval5.0ms (0.1%)

prune6.0ms (0.1%)

simplify130.0ms (1.9%)

localize252.0ms (3.7%)

series66.0ms (1%)

simplify238.0ms (3.5%)

rewrite89.0ms (1.3%)

eval60.0ms (0.9%)

prune47.0ms (0.7%)

simplify125.0ms (1.8%)

localize442.0ms (6.5%)

series68.0ms (1%)

simplify233.0ms (3.4%)

rewrite271.0ms (4%)

eval180.0ms (2.6%)

prune55.0ms (0.8%)

simplify200.0ms (2.9%)

localize447.0ms (6.6%)

series47.0ms (0.7%)

simplify221.0ms (3.2%)

rewrite163.0ms (2.4%)

eval130.0ms (1.9%)

prune49.0ms (0.7%)

regimes33.0ms (0.5%)

regimes28.0ms (0.4%)

regimes13.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch7.0ms (0.1%)

bsearch1.0ms (0%)

simplify45.0ms (0.7%)

derivations475.0ms (7%)

preprocess58.0ms (0.8%)

end0.0ms (0%)

Profiling