Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample2.2s (48.2%)

Memory

-226.2MiB live, 2 429.3MiB allocated; 1.4s collecting garbage

Samples

1.6s	7 322×	1	valid
46.0ms	934×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 947.0ms

ival-log1p: 338.0ms (35.7% of total)

ival-log: 320.0ms (33.8% of total)

adjust: 172.0ms (18.2% of total)

ival-sub: 114.0ms (12% of total)

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

Bogosity

explain149.0ms (3.3%)

Memory

-12.3MiB live, 179.4MiB allocated; 46ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
248	1	(54.326135279524586)	1	(24.604784660532243)	`(-.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	248	2

Confusion

	Predicted +	Predicted -
+	247	1
-	1	7

Precision

0.9959677419354839

Recall

0.9959677419354839

Confusion?

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

Precision?

0.992

Recall?

1.0

Freqs

test

number	freq
0	8
1	248

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

71.0ms	452×	1	valid
4.0ms	60×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

adjust: 17.0ms (30% of total)

ival-log: 16.0ms (28.3% of total)

ival-log1p: 16.0ms (28.3% of total)

ival-sub: 5.0ms (8.8% of total)

ival-add: 3.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess285.0ms (6.4%)

Memory

39.8MiB live, 270.9MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune4.0ms (0.1%)

Memory

-41.0MiB live, 2.1MiB allocated; 6ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.6%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series85.0ms (1.9%)

Memory

39.5MiB live, 189.1MiB allocated; 14ms collecting garbage

Counts

6 → 31

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

Calls

3 calls:

Time	Variable		Point	Expression
48.0ms	N	@	0	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
26.0ms	N	@	-inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
11.0ms	N	@	inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

rewrite226.0ms (5.1%)

Memory

-10.1MiB live, 228.2MiB allocated; 65ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	516
0	131	453
1	714	428
0	6908	369

Stop Event

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

Counts

37 → 79

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

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

eval9.0ms (0.2%)

Memory: 12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 131 to 289 computations (74.4% saved)

prune62.0ms (1.4%)

Memory

-36.0MiB live, 9.3MiB allocated; 5ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	71	8	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	8	80

Accuracy

99.9%

Counts

80 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.6%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	99.8%	(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
▶	24.4%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	86.0%	#s(approx (- (log (+ N 1)) (log N)) (pow.f64 N #s(literal -1 binary64)))
▶	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
▶	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N))
▶	92.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))

Compiler

Compiled 222 to 176 computations (20.7% saved)

series13.0ms (0.3%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Counts

34 → 133

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	N	@	0	((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) 1 (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 1/3 -1/2 (neg N) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) (- (log (+ N 1)) (log N)) (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) (pow N -2) -2 (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) (+ (* (pow N -3) 1/4) (/ 1/2 N)) (pow N -3) -3)
4.0ms	N	@	-inf	((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) 1 (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 1/3 -1/2 (neg N) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) (- (log (+ N 1)) (log N)) (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) (pow N -2) -2 (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) (+ (* (pow N -3) 1/4) (/ 1/2 N)) (pow N -3) -3)
3.0ms	N	@	inf	((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) 1 (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 1/3 -1/2 (neg N) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) (- (log (+ N 1)) (log N)) (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) (pow N -2) -2 (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) (+ (* (pow N -3) 1/4) (/ 1/2 N)) (pow N -3) -3)

Time

Variable

Point

Expression

4.0ms

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

4.0ms

-inf

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

3.0ms

inf

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

rewrite183.0ms (4.1%)

Memory

31.3MiB live, 356.0MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	333	2973
0	367	2768
1	1438	2764
0	8117	2721

Stop Event

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

Counts

167 → 430

Calls

Call 1

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

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

eval73.0ms (1.6%)

Memory: -12.6MiB live, 186.7MiB allocated; 17ms collecting garbage
Compiler: Compiled 14 070 to 2 128 computations (84.9% saved)

prune21.0ms (0.5%)

Memory

10.7MiB live, 57.2MiB allocated; 2ms collecting garbage

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	451	16	467
Fresh	1	2	3
Picked	4	1	5
Done	0	0	0
Total	456	19	475

Accuracy

100.0%

Counts

475 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.6%	(-.f64 (log1p.f64 N) (log.f64 N))
	99.2%	(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	99.7%	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
	95.1%	(log1p.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N)))
▶	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	95.1%	(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (fma.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 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (+.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (neg.f64 N) (.f64 (neg.f64 N) #s(literal -1 binary64))) (*.f64 N N)))
▶	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64) (.f64 N #s(literal -2 binary64))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
	92.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	92.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
▶	86.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
▶	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (neg.f64 N)))
	96.5%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N)))
	92.5%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))

Compiler

Compiled 763 to 578 computations (24.2% saved)

series37.0ms (0.8%)

Memory

-31.6MiB live, 69.0MiB allocated; 16ms collecting garbage

Counts

37 → 153

Calls

Call 1

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

Outputs
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#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 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ -1/2 N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg 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) -1/2) N) -1) -1) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3))))
#s(approx (- (- (/ 1/2 N) 1) (/ 1/3 (* N N))) #s(hole binary64 (/ -1/3 (pow N 2))))
#s(approx (- (- (/ 1/2 N) 1) (/ 1/3 (* N N))) #s(hole binary64 (/ (- (* 1/2 N) 1/3) (pow N 2))))
#s(approx (- (- (/ 1/2 N) 1) (/ 1/3 (* N N))) #s(hole binary64 (/ (- (* N (+ 1/2 (* -1 N))) 1/3) (pow N 2))))
#s(approx (- (/ 1/2 N) 1) #s(hole binary64 (/ 1/2 N)))
#s(approx (- (/ 1/2 N) 1) #s(hole binary64 (/ (+ 1/2 (* -1 N)) N)))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ 1/3 (* N N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#s(approx (/ (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (neg N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (neg N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (neg N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (neg 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) -1/2) -1) 2) (* N -2)) (* N 2)) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3))))
#s(approx (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) #s(hole binary64 (/ 1/2 (pow N 2))))
#s(approx (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) #s(hole binary64 (/ (+ 1/2 (* -2/3 N)) (pow N 2))))
#s(approx (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) #s(hole binary64 (/ (+ 1/2 (* N (- N 2/3))) (pow N 2))))
#s(approx (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) #s(hole binary64 (/ (+ 1/2 (* N (- (* N (+ 1 (* -2 N))) 2/3))) (pow N 2))))
#s(approx (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2))))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 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 (/ (+ 1/4 (* -1/3 N)) (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 (/ (+ 1/4 (* -1/3 N)) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx (* N -2) #s(hole binary64 (* -2 N)))
#s(approx (* N 2) #s(hole binary64 (* 2 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 (log (+ 1 (/ 1 N))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 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)) #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 (/ 1/2 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 1))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg 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) -1/2) N) -1) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (- (- (/ 1/2 N) 1) (/ 1/3 (* N N))) #s(hole binary64 -1))
#s(approx (- (- (/ 1/2 N) 1) (/ 1/3 (* N N))) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (- (- (/ 1/2 N) 1) (/ 1/3 (* N N))) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (- (/ 1/2 N) 1) #s(hole binary64 -1))
#s(approx (- (/ 1/2 N) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (/ (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (neg N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (neg N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (neg 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) -1/2) -1) 2) (* N -2)) (* N 2)) #s(hole binary64 -1))
#s(approx (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) #s(hole binary64 (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) #s(hole binary64 (* -2 N)))
#s(approx (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) #s(hole binary64 (* N (- (/ 1 N) 2))))
#s(approx (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) #s(hole binary64 (* N (- (/ 1 N) (+ 2 (/ 2/3 (pow N 2)))))))
#s(approx (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) #s(hole binary64 (* N (- (+ (/ 1 N) (* 1/2 (/ 1 (pow N 3)))) (+ 2 (/ 2/3 (pow N 2)))))))
#s(approx (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) #s(hole binary64 1/2))
#s(approx (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) #s(hole binary64 (- 1/2 (* 1/3 (/ 1 N)))))
#s(approx (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N)))))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ -1/3 N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (- (* 1/4 (/ 1 N)) 1/3) N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 -1/3))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (- (* 1/4 (/ 1 N)) 1/3)))
#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 (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (/ 1 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)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
#s(approx (- (- (/ 1/2 N) 1) (/ 1/3 (* N N))) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (/ (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
#s(approx (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) #s(hole binary64 (* -1 (* N (- 2 (/ 1 N))))))
#s(approx (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) #s(hole binary64 (* -1 (* N (+ 2 (* -1 (/ (- 1 (* 2/3 (/ 1 N))) N)))))))
#s(approx (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) #s(hole binary64 (* -1 (* N (+ 2 (* -1 (/ (+ 1 (* -1 (/ (- 2/3 (* 1/2 (/ 1 N))) N))) N)))))))
#s(approx (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))))
#s(approx (- (log (+ 1 N)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#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 (+ 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))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 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
15.0ms	N	@	0	((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (- (- (/ 1/2 N) 1) (/ 1/3 (* N N))) (- (/ 1/2 N) 1) (/ 1/2 N) 1/2 (/ 1/3 (* N N)) 1/3 (* N N) (neg N) (- (log (+ N 1)) (log N)) (/ (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (neg N)) (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 -1 -1/2 2 (* N -2) -2 (* N 2) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N))
11.0ms	N	@	-inf	((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (- (- (/ 1/2 N) 1) (/ 1/3 (* N N))) (- (/ 1/2 N) 1) (/ 1/2 N) 1/2 (/ 1/3 (* N N)) 1/3 (* N N) (neg N) (- (log (+ N 1)) (log N)) (/ (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (neg N)) (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 -1 -1/2 2 (* N -2) -2 (* N 2) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N))
9.0ms	N	@	inf	((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (- (- (/ 1/2 N) 1) (/ 1/3 (* N N))) (- (/ 1/2 N) 1) (/ 1/2 N) 1/2 (/ 1/3 (* N N)) 1/3 (* N N) (neg N) (- (log (+ N 1)) (log N)) (/ (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (neg N)) (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 -1 -1/2 2 (* N -2) -2 (* N 2) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N))

Time

Variable

Point

Expression

15.0ms

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

11.0ms

-inf

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

9.0ms

inf

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

rewrite221.0ms (4.9%)

Memory

34.5MiB live, 261.3MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	405	3671
0	439	3371
1	1885	3351
0	9437	3265

Stop Event

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

Counts

190 → 353

Calls

Call 1

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

Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(log.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1 binary64) N)
(exp.f64 (neg.f64 (log.f64 N)))
#s(literal 1 binary64)
N
#s(approx (- (log (+ 1 N)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
(/.f64 (neg.f64 (neg.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 N)))
(/.f64 (neg.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64))) (neg.f64 N))
(/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N)
#s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64))
#s(approx (- (log (+ 1 N)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)))) (neg.f64 N)))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (neg.f64 N))))
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(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)))))
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(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N)))))) (.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 3 binary64))))) (.f64 N (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N)))))))
(/.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) #s(literal 1 binary64)) N) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) N))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
(/.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) #s(literal 1 binary64)) (neg.f64 (.f64 N N))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) #s(literal -1/3 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 (.f64 N N))))
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(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64)))) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))))))
(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal -3 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 N N)))) (/.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 N N)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)))))
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(/.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) N))
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#s(literal 1/2 binary64)
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#s(literal 1/3 binary64)
(*.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)))
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(*.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)))
(*.f64 (fabs.f64 N) (fabs.f64 N))
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eval70.0ms (1.6%)

Memory: -15.8MiB live, 134.4MiB allocated; 11ms collecting garbage
Compiler: Compiled 13 583 to 1 705 computations (87.4% saved)

prune33.0ms (0.7%)

Memory

-0.5MiB live, 46.8MiB allocated; 1ms collecting garbage

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	365	7	372
Fresh	4	9	13
Picked	1	4	5
Done	0	1	1
Total	370	21	391

Accuracy

100.0%

Counts

391 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.6%	(-.f64 (log1p.f64 N) (log.f64 N))
	99.2%	(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
▶	99.7%	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
	95.1%	(log1p.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶	95.1%	(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (fma.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 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
	96.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 N #s(literal 2 binary64)) (/.f64 #s(literal -2 binary64) N) (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.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))) (neg.f64 N)))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 #s(literal -2 binary64) N (.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) #s(literal -2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) N) (neg.f64 N))))
▶	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) #s(literal 2 binary64) (.f64 N #s(literal -2 binary64))) (.f64 N #s(literal 2 binary64))) (neg.f64 N)))
	96.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (/.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (.f64 N N))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	92.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
✓	86.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) (/.f64 #s(literal 1/3 binary64) (.f64 N N)))) (neg.f64 N)))
✓	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (neg.f64 N)))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(approx (- (- (/ 1/2 N) 1) (/ 1/3 (* N N))) (/.f64 (-.f64 (.f64 (fma.f64 #s(literal -1 binary64) N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)) (.f64 N N)))) (neg.f64 N)))
▶	96.5%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N)))
	96.1%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (neg N)) (/.f64 (-.f64 (*.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)))))
▶	92.5%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))

Compiler

Compiled 981 to 739 computations (24.7% saved)

series112.0ms (2.5%)

Memory

-20.6MiB live, 119.4MiB allocated; 16ms collecting garbage

Counts

40 → 158

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
48.0ms	N	@	inf	((log (+ 1 (pow (* N N) -1/2))) (pow (* N N) -1/2) (* N N) N -1/2 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (/ (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (neg N)) (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) (- 1/2 (/ 1/3 N)) (/ 1/3 N) 1/3 2 (* N -2) -2 (* N 2) (neg N) (- (log (+ N 1)) (log N)) (* (/ (+ (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) 1) -1) (/ -1 N)) (/ (+ (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) 1) -1) (+ (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) 1) (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 -1 1 (/ -1 N) (log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log N))
35.0ms	N	@	-inf	((log (+ 1 (pow (* N N) -1/2))) (pow (* N N) -1/2) (* N N) N -1/2 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (/ (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (neg N)) (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) (- 1/2 (/ 1/3 N)) (/ 1/3 N) 1/3 2 (* N -2) -2 (* N 2) (neg N) (- (log (+ N 1)) (log N)) (* (/ (+ (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) 1) -1) (/ -1 N)) (/ (+ (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) 1) -1) (+ (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) 1) (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 -1 1 (/ -1 N) (log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log N))
26.0ms	N	@	0	((log (+ 1 (pow (* N N) -1/2))) (pow (* N N) -1/2) (* N N) N -1/2 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (/ (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (neg N)) (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) (- 1/2 (/ 1/3 N)) (/ 1/3 N) 1/3 2 (* N -2) -2 (* N 2) (neg N) (- (log (+ N 1)) (log N)) (* (/ (+ (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) 1) -1) (/ -1 N)) (/ (+ (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) 1) -1) (+ (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) 1) (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 -1 1 (/ -1 N) (log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log N))

Time

Variable

Point

Expression

48.0ms

inf

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

35.0ms

-inf

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

26.0ms

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

rewrite178.0ms (4%)

Memory

20.1MiB live, 294.8MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	432	3895
0	473	3592
1	1944	3532
0	8212	3448

Stop Event

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

Counts

198 → 410

Calls

Call 1

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

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

eval58.0ms (1.3%)

Memory: 6.0MiB live, 155.1MiB allocated; 12ms collecting garbage
Compiler: Compiled 13 960 to 1 853 computations (86.7% saved)

prune26.0ms (0.6%)

Memory

24.2MiB live, 71.6MiB allocated; 2ms collecting garbage

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	417	8	425
Fresh	1	10	11
Picked	2	3	5
Done	0	5	5
Total	420	26	446

Accuracy

100.0%

Counts

446 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.6%	(-.f64 (log1p.f64 N) (log.f64 N))
	99.2%	(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	99.7%	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
	95.1%	(log1p.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
✓	95.1%	(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
	96.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (fma.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 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
	96.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 N #s(literal 2 binary64)) (/.f64 #s(literal -2 binary64) N) (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.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))) (neg.f64 N)))
	94.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 #s(literal 2 binary64) #s(approx (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) (.f64 #s(literal -2 binary64) N)) (.f64 (*.f64 #s(literal 2 binary64) N) (neg.f64 N))))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 #s(literal -2 binary64) N (.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) #s(literal -2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) N) (neg.f64 N))))
	96.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (/.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (.f64 N N))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	92.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
✓	86.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) (/.f64 #s(literal 1/3 binary64) (.f64 N N)))) (neg.f64 N)))
✓	95.2%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (neg.f64 N)))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(approx (- (- (/ 1/2 N) 1) (/ 1/3 (* N N))) (/.f64 (-.f64 (.f64 (fma.f64 #s(literal -1 binary64) N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)) (.f64 N N)))) (neg.f64 N)))
	92.7%	#s(approx (- (log (+ N 1)) (log N)) (.f64 #s(approx (/ (+ (/ (+ ( (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) 1) -1) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N)))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (.f64 #s(approx (/ (+ (/ (+ ( (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) 1) -1) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N)))
	96.5%	#s(approx (- (log (+ N 1)) (log N)) (.f64 #s(approx (/ (+ (/ (+ ( (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) 1) -1) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.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 #s(literal -1 binary64) N)))
	92.5%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (/.f64 (-.f64 (.f64 N N) #s(literal 1/4 binary64)) (+.f64 N #s(literal 1/2 binary64))) (.f64 N N))))
	92.2%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 (.f64 N (neg.f64 (.f64 N N))) (.f64 (.f64 N N) #s(literal -1/2 binary64))) (.f64 (.f64 N N) (neg.f64 (*.f64 N N))))))
✓	92.5%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
	85.7%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N))))
	92.4%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (-.f64 (/.f64 N (.f64 N N)) (/.f64 #s(literal 1/2 binary64) (.f64 N N)))))

Compiler

Compiled 1 738 to 763 computations (56.1% saved)

regimes21.0ms (0.5%)

Memory

-7.7MiB live, 44.4MiB allocated; 3ms collecting garbage

Counts

40 → 1

Calls

Call 1

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

Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))

Calls

2 calls:

11.0ms	N
7.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
99.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
99.8%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes14.0ms (0.3%)

Memory

-13.1MiB live, 34.0MiB allocated; 1ms collecting garbage

Counts

27 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes11.0ms (0.3%)

Memory

-22.3MiB live, 24.5MiB allocated; 2ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.2%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
95.2%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N 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
92.5%	1	`N`
92.5%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.1b remaining (-1.7%)

Threshold costs -0.1b (-1.7%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #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
86.0%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
86.0%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify39.0ms (0.9%)

Memory

-31.2MiB live, 65.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	141
1	88	141
2	127	141
3	173	141
4	253	141
5	558	141
6	3615	141

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations307.0ms (6.9%)

Memory

7.3MiB live, 322.2MiB allocated; 178ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 141 to 60 computations (57.4% saved)

preprocess60.0ms (1.3%)

Memory: -0.2MiB live, 104.3MiB allocated; 24ms collecting garbage
Compiler: Compiled 350 to 170 computations (51.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.2s (48.2%)

explain149.0ms (3.3%)

preprocess285.0ms (6.4%)

eval0.0ms (0%)

prune4.0ms (0.1%)

series85.0ms (1.9%)

rewrite226.0ms (5.1%)

eval9.0ms (0.2%)

prune62.0ms (1.4%)

series13.0ms (0.3%)

rewrite183.0ms (4.1%)

eval73.0ms (1.6%)

prune21.0ms (0.5%)

series37.0ms (0.8%)

rewrite221.0ms (4.9%)

eval70.0ms (1.6%)

prune33.0ms (0.7%)

series112.0ms (2.5%)

rewrite178.0ms (4%)

eval58.0ms (1.3%)

prune26.0ms (0.6%)

regimes21.0ms (0.5%)

regimes14.0ms (0.3%)

regimes11.0ms (0.3%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

simplify39.0ms (0.9%)

derivations307.0ms (6.9%)

preprocess60.0ms (1.3%)

end0.0ms (0%)

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