Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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%)

Memory

72.7MiB live, 2 201.5MiB allocated; 515ms collecting garbage

Samples

1.1s	7 292×	1	valid
136.0ms	964×	0	valid

Precisions

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

ival-log: 370.0ms (36.5% of total)

ival-log1p: 277.0ms (27.3% of total)

adjust: 185.0ms (18.2% of total)

ival-sub: 98.0ms (9.7% of total)

ival->: 34.0ms (3.4% of total)

ival-<: 24.0ms (2.4% of total)

ival-and: 11.0ms (1.1% of total)

exact: 10.0ms (1% of total)

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

Bogosity

explain221.0ms (3.2%)

Memory

-17.4MiB live, 167.7MiB allocated; 42ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
250	1	(173.89423241514743)	4	(17.89519087529822)	`(-.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	247	4

Confusion

	Predicted +	Predicted -
+	246	4
-	1	5

Precision

0.9959514170040485

Recall

0.984

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	246	3	1
-	1	1	4

Precision?

0.9920318725099602

Recall?

0.996

Freqs

test

number	freq
0	9
1	247

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

169.0ms	454×	1	valid
3.0ms	58×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-log: 64.0ms (64.3% of total)

ival-log1p: 15.0ms (15.1% of total)

adjust: 12.0ms (12.1% of total)

ival-sub: 5.0ms (5% of total)

ival-add: 3.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess804.0ms (11.6%)

Memory

-135.3MiB live, 417.8MiB allocated; 873ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	11	19
2	14	19
3	25	19
4	61	19
5	267	17
6	2316	17
7	5695	17
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: 0.0MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.2%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify145.0ms (2.1%)

Memory

40.6MiB live, 182.6MiB allocated; 16ms 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)

localize42.0ms (0.6%)

Memory

3.1MiB live, 49.0MiB allocated; 4ms 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 N)
accuracy	0.0078125	(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	47.86748890101483	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Samples

33.0ms	227×	1	valid
2.0ms	29×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-log1p: 10.0ms (37.7% of total)

adjust: 6.0ms (22.6% of total)

ival-log: 6.0ms (22.6% of total)

ival-sub: 2.0ms (7.5% of total)

ival-add: 1.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series67.0ms (1%)

Memory

-18.4MiB live, 76.7MiB allocated; 21ms 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
32.0ms	N	@	-inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
29.0ms	N	@	0	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
6.0ms	N	@	inf	((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))

simplify209.0ms (3%)

Memory

23.4MiB live, 341.1MiB allocated; 35ms 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))))

rewrite96.0ms (1.4%)

Memory

-36.1MiB live, 76.5MiB allocated; 24ms 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: 9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 733 to 188 computations (74.4% saved)

prune6.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	40	9	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	10	50

Accuracy

99.4%

Counts

50 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.2%	(/.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))))
	25.1%	(/.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)))
	25.1%	(-.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)))))
▶	25.2%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	25.2%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
	27.9%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
▶	96.4%	#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))
▶	94.7%	#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)))
	91.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
▶	83.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 309 to 196 computations (36.6% saved)

simplify126.0ms (1.8%)

Memory

12.5MiB live, 99.8MiB allocated; 14ms 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)

localize218.0ms (3.1%)

Memory

10.7MiB live, 389.1MiB allocated; 39ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.5042763183790941	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.6639215332848188	(pow.f64 (log.f64 N) #s(literal 3 binary64))
accuracy	0.7130815430532609	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
accuracy	47.22408629124747	(-.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	47.86748890101483	(-.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	0.26009750976844204	(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) (*.f64 N N))
accuracy	0.39453125	(/.f64 #s(literal 1/3 binary64) N)
accuracy	3.159701579617121	#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	10.801830529950173	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy	0.08984375	(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N)
accuracy	0.1171875	(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.3359375	(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.274464635677549	#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

183.0ms	229×	1	valid
7.0ms	27×	0	valid

Compiler

Compiled 231 to 34 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

adjust: 37.0ms (27.6% of total)

ival-div: 33.0ms (24.6% of total)

ival-sub: 11.0ms (8.2% of total)

ival-log1p: 9.0ms (6.7% of total)

ival-pow: 9.0ms (6.7% of total)

ival-add: 9.0ms (6.7% of total)

const: 7.0ms (5.2% of total)

ival-mult: 7.0ms (5.2% of total)

ival-log: 7.0ms (5.2% of total)

ival-pow2: 5.0ms (3.7% of total)

exact: 1.0ms (0.7% of total)

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

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

series56.0ms (0.8%)

Memory

-1.4MiB live, 95.6MiB allocated; 14ms 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)))
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#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))))
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#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))))))))))))
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#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))
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#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)))))
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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))))))) (+ (* -1/3 (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) (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
18.0ms	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))
17.0ms	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))
15.0ms	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

18.0ms

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))

17.0ms

-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))

15.0ms

((- (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))

simplify232.0ms (3.4%)

Memory

-8.9MiB live, 260.3MiB allocated; 76ms 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)))))
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#s(approx (pow (log N) 3) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)))
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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))))

rewrite87.0ms (1.3%)

Memory

16.2MiB live, 73.1MiB allocated; 12ms 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)))

eval61.0ms (0.9%)

Memory: -15.0MiB live, 74.1MiB allocated; 16ms collecting garbage
Compiler: Compiled 16 417 to 1 919 computations (88.3% saved)

prune48.0ms (0.7%)

Memory

17.4MiB live, 63.9MiB allocated; 5ms collecting garbage

Pruning

38 alts after pruning (33 fresh and 5 done)

	Pruned	Kept	Total
New	396	31	427
Fresh	2	2	4
Picked	1	4	5
Done	0	1	1
Total	399	38	437

Accuracy

99.5%

Counts

437 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.9%	(/.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 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))))
	26.5%	(/.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))))
	27.4%	(/.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 (-.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 3/2 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))))
	25.2%	(/.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)))))
	25.8%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #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))))
▶	25.7%	(/.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))))
	25.2%	(/.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) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.2%	(/.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 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 N N) N))) #s(literal 2 binary64))))
✓	25.2%	(/.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))))
	25.1%	(/.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)))
	25.2%	(/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (+.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)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 9 binary64)) (+.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 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.1%	(/.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)))))
	25.1%	(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.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 3/2 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))))
	27.9%	(/.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))))
	96.1%	(/.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))))
	25.1%	(-.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)))))
✓	25.2%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	25.2%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
▶	25.2%	(*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	27.9%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N))
	96.3%	#s(approx (- (log (+ N 1)) (log 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)))
	96.3%	#s(approx (- (log (+ N 1)) (log 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)))
▶	96.4%	#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))
	95.0%	#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))
▶	96.4%	#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))
	96.1%	#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)))
	92.0%	#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))
✓	94.7%	#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)))
	91.7%	#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 (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
	94.8%	#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)))
▶	82.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))
✓	83.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.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)))
	95.8%	#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)))))
	94.7%	#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 2 300 to 1 265 computations (45% saved)

simplify134.0ms (1.9%)

Memory

11.4MiB live, 109.6MiB allocated; 22ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 N)
cost-diff	0	(+.f64 (log.f64 N) (log1p.f64 N))
cost-diff	0	(fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
cost-diff	24	(*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
cost-diff	0	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
cost-diff	0	(-.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)))
cost-diff	0	(/.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))))
cost-diff	2	(pow.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(-.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)))
cost-diff	0	(/.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)
cost-diff	0	#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))
cost-diff	1	(/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) 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	54	452
0	88	447
1	151	441
2	295	433
3	803	405
4	2793	405
0	8748	405

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

localize322.0ms (4.7%)

Memory

15.4MiB live, 294.2MiB allocated; 51ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3125	(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
accuracy	0.3125	(*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
accuracy	0.5042763183790941	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	47.86748890101483	(-.f64 (log1p.f64 N) (log.f64 N))
accuracy	0.4811325195368841	(pow.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64))
accuracy	0.5042763183790941	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.7130815430532609	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
accuracy	47.22408629124747	(-.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)))
accuracy	0.1171875	(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
accuracy	0.265625	(/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N)
accuracy	0.3359375	(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)
accuracy	2.274464635677549	#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))
accuracy	0.0	(*.f64 N N)
accuracy	0.26009750976844204	(/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N))
accuracy	3.159701579617121	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))
accuracy	10.816464758820283	#s(approx (+ (- (/ 1/3 N) 1/2) N) N)
accuracy	0.08984375	(/.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)
accuracy	0.30859375	(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))
accuracy	0.33203125	(fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64))
accuracy	2.274464635677549	#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

268.0ms	229×	1	valid
9.0ms	27×	0	valid

Compiler

Compiled 404 to 48 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 240.0ms

adjust: 82.0ms (34.1% of total)

ival-div: 52.0ms (21.6% of total)

ival-pow: 25.0ms (10.4% of total)

ival-sub: 20.0ms (8.3% of total)

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

ival-mult: 12.0ms (5% of total)

ival-pow2: 9.0ms (3.7% of total)

ival-log1p: 9.0ms (3.7% of total)

const: 7.0ms (2.9% of total)

ival-log: 6.0ms (2.5% of total)

exact: 1.0ms (0.4% of total)

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

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

series92.0ms (1.3%)

Memory

-48.8MiB live, 72.4MiB allocated; 30ms collecting garbage

Counts

27 → 213

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

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

Calls

3 calls:

Time

Variable

Point

Expression

53.0ms

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

17.0ms

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

13.0ms

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

simplify289.0ms (4.2%)

Memory

4.5MiB live, 192.3MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1030	12321
1	3095	11082
0	8743	10283

Stop Event

1×	iter limit
1×	node limit

Counts

213 → 213

Calls

Call 1

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

rewrite149.0ms (2.2%)

Memory

16.8MiB live, 105.8MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	356
0	88	301
1	403	295
0	2979	295

Stop Event

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

Counts

27 → 420

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

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

eval98.0ms (1.4%)

Memory: 4.7MiB live, 147.0MiB allocated; 22ms collecting garbage
Compiler: Compiled 33 056 to 3 041 computations (90.8% saved)

prune55.0ms (0.8%)

Memory

-14.5MiB live, 90.6MiB allocated; 11ms collecting garbage

Pruning

50 alts after pruning (43 fresh and 7 done)

	Pruned	Kept	Total
New	663	22	685
Fresh	7	21	28
Picked	3	2	5
Done	0	5	5
Total	673	50	723

Accuracy

99.6%

Counts

723 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.9%	(/.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 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))))
	26.5%	(/.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))))
	27.4%	(/.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 (-.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 3/2 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))))
▶	25.8%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #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))))
	23.0%	(/.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 (-.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))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	22.9%	(/.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 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.7%	(/.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) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.2%	(/.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) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.2%	(/.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 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 N N) N))) #s(literal 2 binary64))))
✓	25.2%	(/.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))))
	25.1%	(/.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)))
	25.2%	(/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log1p.f64 N) (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))))
	25.1%	(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.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 3/2 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))))
	27.9%	(/.f64 (log.f64 (pow.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (+.f64 (log1p.f64 N) (log.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))))
	96.1%	(/.f64 #s(approx (- (pow (log (+ 1 N)) 3) (pow (pow (log N) 3/2) 2)) (/.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)) (.f64 #s(literal -1 binary64) (.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 (.f64 (log.f64 N) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 N) #s(literal 1 binary64)) N) (fma.f64 (.f64 (log.f64 N) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N))) #s(literal 1 binary64)) (.f64 N N)) (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 N)))) (.f64 N N)) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (log.f64 N) (log.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 N N))))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 N) #s(literal -1/2 binary64)) (pow.f64 N #s(literal 3 binary64)))))))) (/.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))))
	96.1%	(/.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))))
	25.1%	(-.f64 (/.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 (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)))))
✓	25.2%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	25.2%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
	23.0%	(*.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N)))) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	24.9%	(.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (/.f64 (log1p.f64 N) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (log1p.f64 N) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (*.f64 (/.f64 (log.f64 N) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (log.f64 N) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (+.f64 (/.f64 (log1p.f64 N) (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) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))
	24.9%	(.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (log1p.f64 N) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 N))) (.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	23.1%	(*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (/.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))) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.2%	(*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
▶	22.9%	(.f64 (fma.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 N N)))) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.2%	(.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	27.9%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	96.3%	#s(approx (- (log (+ N 1)) (log 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 3 binary64)) #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) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (+.f64 #s(literal 1 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) #s(literal -1 binary64))))) N))
	96.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) N))) (.f64 (.f64 N N) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64)) #s(literal -1 binary64)))) (.f64 (*.f64 N N) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) N)))) N))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N))
	96.3%	#s(approx (- (log (+ N 1)) (log 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)))
	96.3%	#s(approx (- (log (+ N 1)) (log 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)))
	95.0%	#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))
✓	96.4%	#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))
	96.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
▶	96.4%	#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) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (/.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)))
▶	96.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) N) N) (.f64 N #s(literal -1 binary64))) (*.f64 N N)))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
	92.0%	#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))
✓	94.7%	#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)))
▶	91.7%	#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 (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
	94.8%	#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)))
✓	82.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))
✓	83.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.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)))
	95.8%	#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)))))
	94.7%	#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 3 625 to 1 832 computations (49.5% saved)

simplify125.0ms (1.8%)

Memory

9.6MiB live, 96.1MiB allocated; 13ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	663
0	120	651
1	201	644
2	429	631
3	1335	612
4	5447	612
0	8444	607

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

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

localize364.0ms (5.3%)

Memory

0.8MiB live, 383.8MiB allocated; 44ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.34603500976844204	(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64)))
accuracy	0.5042763183790941	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	2.015633557467748	#s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 N)) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
accuracy	47.86748890101483	(-.f64 (log1p.f64 N) (log.f64 N))
accuracy	0.47626879884221013	(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy	0.5042763183790941	(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy	0.7130815430532609	(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
accuracy	47.22408629124747	(-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
accuracy	0.2890625	(/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N)
accuracy	0.33203125	(fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64))
accuracy	0.3359375	(/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)
accuracy	2.274464635677549	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #s(literal -1/4 binary64)) N) N)) #s(literal 1/2 binary64)) N) N) (.f64 N #s(literal -1 binary64))) (*.f64 N N)))
accuracy	0.00390625	(+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N)
accuracy	0.26009750976844204	(/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) (*.f64 N N))
accuracy	3.159701579617121	#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)))
accuracy	11.161922973673853	#s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64))
accuracy	0.1171875	(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
accuracy	0.265625	(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N)
accuracy	0.3359375	(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy	2.274464635677549	#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) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))

Samples

290.0ms	229×	1	valid
11.0ms	27×	0	valid

Compiler

Compiled 545 to 61 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 253.0ms

adjust: 75.0ms (29.6% of total)

ival-div: 60.0ms (23.7% of total)

ival-add: 24.0ms (9.5% of total)

ival-pow: 20.0ms (7.9% of total)

ival-mult: 20.0ms (7.9% of total)

ival-sub: 17.0ms (6.7% of total)

ival-log1p: 11.0ms (4.3% of total)

ival-pow2: 9.0ms (3.6% of total)

const: 7.0ms (2.8% of total)

ival-log: 6.0ms (2.4% of total)

ival-neg: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series76.0ms (1.1%)

Memory

-29.3MiB live, 71.8MiB allocated; 11ms collecting garbage

Counts

30 → 229

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

13.0ms

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

11.0ms

-inf

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

10.0ms

inf

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

simplify252.0ms (3.6%)

Memory

3.9MiB live, 140.9MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	928	10632
1	2686	8986
0	9390	8256

Stop Event

1×	iter limit
1×	node limit

Counts

229 → 229

Calls

Call 1

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

Outputs
#s(approx (/ (/ (+ (/ -1/4 N) 1/3) N) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (/ (+ (/ -1/4 N) 1/3) N) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#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)) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) 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)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (/ (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) N) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (/ (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 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 3 binary64))))
#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)) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))))
#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)) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
#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) (* 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 (+ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 N)))
#s(approx (+ (- (/ 1/3 N) 1/2) N) (/.f64 #s(literal 1/3 binary64) 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) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) 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) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (- (/ 1/3 N) 1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N))
#s(approx (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (/.f64 #s(literal -1/4 binary64) (*.f64 N N)))
#s(approx (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (/.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) N) N))
#s(approx (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) #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) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N N)))
#s(approx (- (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (* N -1)) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (- (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (* N -1)) (/.f64 #s(literal -1/4 binary64) (*.f64 N N)))
#s(approx (- (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (* 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) (* N -1)) (/.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) N) N))
#s(approx (- (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (* 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) (* N -1)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N N)))
#s(approx (- (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (* 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) (* 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)))
#s(approx (/ (+ (* N 1/3) -1/4) N) #s(hole binary64 (/ -1/4 N)))
#s(approx (/ (+ (* N 1/3) -1/4) N) (/.f64 #s(literal -1/4 binary64) N))
#s(approx (/ (+ (* N 1/3) -1/4) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) N)))
#s(approx (/ (+ (* N 1/3) -1/4) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) N))
#s(approx (* N -1) #s(hole binary64 (* -1 N)))
#s(approx (* N -1) (neg.f64 N))
#s(approx (/ (- (pow (log (+ 1 N)) 3) (pow (pow (log N) 2) 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)) 3) (pow (pow (log N) 2) 3/2)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (neg.f64 (log.f64 N)))
#s(approx (/ (- (pow (log (+ 1 N)) 3) (pow (pow (log N) 2) 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)) 3) (pow (pow (log N) 2) 3/2)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (-.f64 N (log.f64 N)))
#s(approx (/ (- (pow (log (+ 1 N)) 3) (pow (pow (log N) 2) 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)) 3) (pow (pow (log N) 2) 3/2)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (fma.f64 (fma.f64 (neg.f64 N) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64)) #s(literal 1 binary64)) (log.f64 N)) #s(literal 1 binary64)) N (neg.f64 (log.f64 N))))
#s(approx (/ (- (pow (log (+ 1 N)) 3) (pow (pow (log N) 2) 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)) 3) (pow (pow (log N) 2) 3/2)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (fma.f64 (fma.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 N)) (neg.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64)) #s(literal 1 binary64)) (log.f64 N)) (-.f64 (.f64 #s(literal 1/3 binary64) (log.f64 N)) #s(literal 1 binary64))) (log.f64 N)))) N) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (log.f64 N) #s(literal 1 binary64)) #s(literal 1 binary64)) (log.f64 N))) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N))))
#s(approx (- (pow (log (+ 1 N)) 3) (pow (pow (log N) 2) 3/2)) #s(hole binary64 (* -1 (pow (log N) 3))))
#s(approx (- (pow (log (+ 1 N)) 3) (pow (pow (log N) 2) 3/2)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)))
#s(approx (- (pow (log (+ 1 N)) 3) (pow (pow (log N) 2) 3/2)) #s(hole binary64 (- (pow N 3) (pow (log N) 3))))
#s(approx (- (pow (log (+ 1 N)) 3) (pow (pow (log N) 2) 3/2)) (-.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))
#s(approx (- (pow (log (+ 1 N)) 3) (pow (pow (log N) 2) 3/2)) #s(hole binary64 (- (* (pow N 3) (+ 1 (* -3/2 N))) (pow (log N) 3))))
#s(approx (- (pow (log (+ 1 N)) 3) (pow (pow (log N) 2) 3/2)) (-.f64 (*.f64 (fma.f64 #s(literal -3/2 binary64) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))))
#s(approx (- (pow (log (+ 1 N)) 3) (pow (pow (log N) 2) 3/2)) #s(hole binary64 (- (* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2)))) (pow (log N) 3))))
#s(approx (- (pow (log (+ 1 N)) 3) (pow (pow (log N) 2) 3/2)) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 7/4 binary64) N) #s(literal 3/2 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (log (+ 1 N)) 3) (pow.f64 N #s(literal 3 binary64)))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* -3/2 N)))))
#s(approx (pow (log (+ 1 N)) 3) (*.f64 (fma.f64 #s(literal -3/2 binary64) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))
#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) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 7/4 binary64) N) #s(literal 3/2 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))
#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 (pow (log (+ 1 N)) 3) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -15/8 binary64) N #s(literal 7/4 binary64)) N) #s(literal 3/2 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (log (+ 1 N)) #s(hole binary64 N))
#s(approx (log (+ 1 N)) N)
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ 1 N)) (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ 1 N)) (*.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 (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (log (+ 1 N)) (*.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 (- (+ (* -2 (neg (log N))) (+ (/ 1 N) (/ 1/3 (pow N 3)))) (/ 1/2 (* N N))) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (- (+ (* -2 (neg (log N))) (+ (/ 1 N) (/ 1/3 (pow N 3)))) (/ 1/2 (* N N))) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (+ (* -2 (neg (log N))) (+ (/ 1 N) (/ 1/3 (pow N 3)))) (/ 1/2 (* N N))) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (- (+ (* -2 (neg (log N))) (+ (/ 1 N) (/ 1/3 (pow N 3)))) (/ 1/2 (* N N))) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- (+ (* -2 (neg (log N))) (+ (/ 1 N) (/ 1/3 (pow N 3)))) (/ 1/2 (* N N))) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (- (+ (* -2 (neg (log N))) (+ (/ 1 N) (/ 1/3 (pow N 3)))) (/ 1/2 (* 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 (- (+ (* -2 (neg (log N))) (+ (/ 1 N) (/ 1/3 (pow N 3)))) (/ 1/2 (* N N))) #s(hole binary64 (/ (+ 1/3 (* N (- (* N (+ 1 (* 2 (* N (log N))))) 1/2))) (pow N 3))))
#s(approx (- (+ (* -2 (neg (log N))) (+ (/ 1 N) (/ 1/3 (pow N 3)))) (/ 1/2 (* N N))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (log.f64 N) N) #s(literal 2 binary64) #s(literal 1 binary64)) N #s(literal -1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (* -2 (neg (log N))) (+ (/ 1 N) (/ 1/3 (pow N 3)))) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (+ (* -2 (neg (log N))) (+ (/ 1 N) (/ 1/3 (pow N 3)))) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (* -2 (neg (log N))) (+ (/ 1 N) (/ 1/3 (pow N 3)))) #s(hole binary64 (/ (+ 1/3 (pow N 2)) (pow N 3))))
#s(approx (+ (* -2 (neg (log N))) (+ (/ 1 N) (/ 1/3 (pow N 3)))) (/.f64 (fma.f64 N N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (* -2 (neg (log N))) (+ (/ 1 N) (/ 1/3 (pow N 3)))) #s(hole binary64 (/ (+ 1/3 (* (pow N 2) (+ 1 (* 2 (* N (log N)))))) (pow N 3))))
#s(approx (+ (* -2 (neg (log N))) (+ (/ 1 N) (/ 1/3 (pow N 3)))) (/.f64 (fma.f64 (fma.f64 (.f64 (log.f64 N) N) #s(literal 2 binary64) #s(literal 1 binary64)) (.f64 N N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (* (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (/ (- (log (+ 1 N)) (log N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) #s(hole binary64 (* -1 (log N))))
#s(approx (* (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (/ (- (log (+ 1 N)) (log N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (neg.f64 (log.f64 N)))
#s(approx (* (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (/ (- (log (+ 1 N)) (log N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) #s(hole binary64 (- N (log N))))
#s(approx (* (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (/ (- (log (+ 1 N)) (log N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (-.f64 N (log.f64 N)))
#s(approx (* (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (/ (- (log (+ 1 N)) (log N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (* (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (/ (- (log (+ 1 N)) (log N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (* (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (/ (- (log (+ 1 N)) (log N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (* (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (/ (- (log (+ 1 N)) (log N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) #s(hole binary64 (pow (log N) 2)))
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rewrite49.0ms (0.7%)

Memory

29.1MiB live, 29.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	439
0	120	412
0	508	412

Stop Event

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

Counts

30 → 109

Calls

Call 1

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

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

eval83.0ms (1.2%)

Memory: -27.6MiB live, 67.8MiB allocated; 12ms collecting garbage
Compiler: Compiled 23 488 to 2 022 computations (91.4% saved)

prune56.0ms (0.8%)

Memory

21.7MiB live, 68.7MiB allocated; 2ms collecting garbage

Pruning

53 alts after pruning (44 fresh and 9 done)

	Pruned	Kept	Total
New	422	13	435
Fresh	7	31	38
Picked	3	2	5
Done	0	7	7
Total	432	53	485

Accuracy

99.6%

Counts

485 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.9%	(/.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 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))))
	26.5%	(/.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))))
	27.4%	(/.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 (-.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 3/2 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))))
✓	25.8%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #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))))
	25.8%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (exp.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64)))))
	23.0%	(/.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 (-.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))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	22.9%	(/.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 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.7%	(/.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) (log.f64 (fma.f64 N N N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.2%	(/.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) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	25.2%	(/.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 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 N N) N))) #s(literal 2 binary64))))
✓	25.2%	(/.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))))
	25.1%	(/.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)))
	25.2%	(/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log1p.f64 N) (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))))
	26.5%	(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 3 binary64))) (pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #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))))
	25.1%	(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.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 3/2 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))))
	27.9%	(/.f64 (log.f64 (pow.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (+.f64 (log1p.f64 N) (log.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))))
	96.1%	(/.f64 #s(approx (- (pow (log (+ 1 N)) 3) (pow (pow (log N) 2) 3/2)) (/.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 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N)) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (log.f64 N))) (.f64 N N)) (fma.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N N)))))))))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) N)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
	96.1%	(/.f64 #s(approx (- (pow (log (+ 1 N)) 3) (pow (pow (log N) 3/2) 2)) (/.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)) (.f64 #s(literal -1 binary64) (.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 (.f64 (log.f64 N) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 N) #s(literal 1 binary64)) N) (fma.f64 (.f64 (log.f64 N) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N))) #s(literal 1 binary64)) (.f64 N N)) (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 N)))) (.f64 N N)) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (log.f64 N) (log.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 N N))))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 N) #s(literal -1/2 binary64)) (pow.f64 N #s(literal 3 binary64)))))))) (/.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))))
	25.1%	(-.f64 (/.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 (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)))))
✓	25.2%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	25.2%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
	23.0%	(*.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N)))) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	24.9%	(.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (/.f64 (log1p.f64 N) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (log1p.f64 N) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (*.f64 (/.f64 (log.f64 N) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (log.f64 N) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (+.f64 (/.f64 (log1p.f64 N) (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) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))
	24.9%	(.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (log1p.f64 N) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 N))) (.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
	23.1%	(*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (/.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))) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.2%	(*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (log.f64 (fma.f64 N N N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	22.9%	(.f64 (fma.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 #s(approx (+ ( -2 (neg (log N))) (+ (/ 1 N) (/ 1/3 (pow N 3)))) (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	22.9%	(.f64 (fma.f64 #s(approx (+ (log N) (log (+ 1 N))) #s(approx (- (+ ( -2 (neg (log N))) (+ (/ 1 N) (/ 1/3 (pow N 3)))) (/ 1/2 (* N N))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (log.f64 N) N) #s(literal 2 binary64) #s(literal 1 binary64)) N #s(literal -1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	25.2%	(.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
	27.9%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	96.3%	#s(approx (- (log (+ N 1)) (log 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 3 binary64)) #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) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (+.f64 #s(literal 1 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) #s(literal -1 binary64))))) N))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) #s(literal -1 binary64)) (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) #s(literal -1 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/2 binary64) N))) (+.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) N))
	92.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #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 #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)))
	95.0%	#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))
✓	96.4%	#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))
	96.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 #s(approx (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 N N))) (.f64 N #s(literal -1 binary64))) (*.f64 N N)))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 N N)))) (.f64 N #s(literal -1 binary64))) (*.f64 N N)))
✓	94.7%	#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)))
✓	91.7%	#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)))
	95.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (* N -1)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 N N))) (.f64 N N)))
	94.8%	#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)))
✓	82.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (- (/ 1/3 N) 1/2) N) N) (*.f64 N N)))
✓	83.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.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)))
	96.3%	#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) N) #s(literal -1 binary64)) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
	95.8%	#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)))))
	94.7%	#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 4 929 to 1 553 computations (68.5% saved)

regimes58.0ms (0.8%)

Memory

-10.8MiB live, 34.4MiB allocated; 4ms collecting garbage

Counts

76 → 2

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(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 (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) 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)) (/.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 (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
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(/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (+.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)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 9 binary64)) (+.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 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (.f64 (log1p.f64 N) (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 (.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 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (log1p.f64 N) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 N))) (.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(/.f64 #s(approx (- (pow (log (+ 1 N)) 3) (pow (pow (log N) 2) 3/2)) (/.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 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N)) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (log.f64 N))) (.f64 N N)) (fma.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N N)))))))))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) 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 #s(approx (- (pow (log (+ 1 N)) 3) (pow (pow (log N) 3/2) 2)) (/.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)) (.f64 #s(literal -1 binary64) (.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 (.f64 (log.f64 N) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 N) #s(literal 1 binary64)) N) (fma.f64 (.f64 (log.f64 N) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N))) #s(literal 1 binary64)) (.f64 N N)) (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) N) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1/4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 N)))) (.f64 N N)) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (log.f64 N) (log.f64 N) (/.f64 #s(literal 1 binary64) (*.f64 N N))))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 N) #s(literal -1/2 binary64)) (pow.f64 N #s(literal 3 binary64)))))))) (/.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 (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 (log1p.f64 N) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (log1p.f64 N) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (*.f64 (/.f64 (log.f64 N) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (log.f64 N) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (+.f64 (/.f64 (log1p.f64 N) (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) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.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:

35.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
18.0ms	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

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Counts

27 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(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 (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) 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)) (/.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 (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (/.f64 #s(literal 1/3 binary64) (*.f64 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 #s(approx (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (* N -1)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 N N))) (.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.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 #s(approx (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 N N))) (.f64 N #s(literal -1 binary64))) (*.f64 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)) 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) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 N N)))) (.f64 N #s(literal -1 binary64))) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 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 #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)))
#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) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) 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 #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 (/.f64 (-.f64 #s(approx (/ (+ (/ -1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 N #s(literal 1/3 binary64) #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 (/.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N) N) #s(literal -1 binary64)) N) (/.f64 (/.f64 #s(literal 1/2 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
96.4%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
96.4%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes23.0ms (0.3%)

Memory

-58.4MiB live, 11.4MiB allocated; 34ms collecting garbage

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(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 (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) 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)) (/.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 (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (/.f64 #s(literal 1/3 binary64) (*.f64 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 #s(approx (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) 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
95.0%	1	`N`
95.0%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
94.8%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(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 (/.f64 (+.f64 #s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64)) N) N) 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
92.0%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
92.0%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
91.7%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
91.7%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.1b remaining (-1.3%)

Threshold costs -0.1b (-1.3%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(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
83.1%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
83.1%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch11.0ms (0.2%)

Memory

-35.0MiB live, 11.3MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	860.0631789524952	1875.8375357666334

Samples

6.0ms

80×

valid

Compiler

Compiled 200 to 163 computations (18.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 3.0ms (61.9% of total)

ival-log: 1.0ms (20.6% of total)

ival-log1p: 1.0ms (20.6% of total)

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

adjust: 0.0ms (0% of total)

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

simplify57.0ms (0.8%)

Memory

5.4MiB live, 50.6MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	242
1	99	240
2	134	238
3	208	236
4	742	236
5	5220	236

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 N #s(literal 1600 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 #s(approx (- (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (* N -1)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 N N))) (.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.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 #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 #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))

Outputs
(if (<=.f64 N #s(literal 1600 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 #s(approx (- (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) N) (* N -1)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 N N))) (.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.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 #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 #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))

derivations488.0ms (7%)

Memory

16.1MiB live, 390.1MiB allocated; 32ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 242 to 75 computations (69% saved)

preprocess82.0ms (1.2%)

Memory: -2.9MiB live, 135.6MiB allocated; 48ms collecting garbage
Compiler: Compiled 552 to 200 computations (63.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (23%)

explain221.0ms (3.2%)

preprocess804.0ms (11.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify145.0ms (2.1%)

localize42.0ms (0.6%)

series67.0ms (1%)

simplify209.0ms (3%)

rewrite96.0ms (1.4%)

eval5.0ms (0.1%)

prune6.0ms (0.1%)

simplify126.0ms (1.8%)

localize218.0ms (3.1%)

series56.0ms (0.8%)

simplify232.0ms (3.4%)

rewrite87.0ms (1.3%)

eval61.0ms (0.9%)

prune48.0ms (0.7%)

simplify134.0ms (1.9%)

localize322.0ms (4.7%)

series92.0ms (1.3%)

simplify289.0ms (4.2%)

rewrite149.0ms (2.2%)

eval98.0ms (1.4%)

prune55.0ms (0.8%)

simplify125.0ms (1.8%)

localize364.0ms (5.3%)

series76.0ms (1.1%)

simplify252.0ms (3.6%)

rewrite49.0ms (0.7%)

eval83.0ms (1.2%)

prune56.0ms (0.8%)

regimes58.0ms (0.8%)

regimes13.0ms (0.2%)

regimes8.0ms (0.1%)

regimes23.0ms (0.3%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch11.0ms (0.2%)

simplify57.0ms (0.8%)

derivations488.0ms (7%)

preprocess82.0ms (1.2%)

end0.0ms (0%)

Profiling