Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

Memory: 0.1MiB 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)

sample1.4s (38%)

Memory

77.0MiB live, 1 366.0MiB allocated; 336ms collecting garbage

Samples

1.1s	7 470×	1	valid
31.0ms	786×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 820.0ms

ival-log1p: 291.0ms (35.5% of total)

adjust: 264.0ms (32.2% of total)

ival-log: 216.0ms (26.3% of total)

ival-sub!: 49.0ms (6% of total)

Bogosity

explain198.0ms (5.3%)

Memory

-75.5MiB live, 194.6MiB allocated; 103ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
247	1	(31.586834822055568)	1	(15.804760656477306)	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
0	0	-	0	-	`N`
0	0	-	0	-	`(log.f64 N)`
0	0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	0	-	0	-	`(log.f64 (+.f64 N #s(literal 1 binary64)))`
0	0	-	0	-	`#s(literal 1 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`	cancellation	247	3

Confusion

	Predicted +	Predicted -
+	247	2
-	0	7

Precision

1.0

Recall

0.9919678714859438

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	247	1	1
-	0	2	5

Precision?

0.992

Recall?

0.9959839357429718

Freqs

test

number	freq
0	9
1	247

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

84.0ms	460×	1	valid
3.0ms	52×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-log: 42.0ms (59.2% of total)

ival-log1p: 15.0ms (21.1% of total)

adjust: 10.0ms (14.1% of total)

ival-sub!: 2.0ms (2.8% of total)

ival-add!: 1.0ms (1.4% of total)

preprocess235.0ms (6.3%)

Memory

15.1MiB live, 203.0MiB allocated; 26ms 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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.0%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series72.0ms (1.9%)

Memory

29.3MiB live, 71.0MiB allocated; 7ms 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
32.0ms	N	@	inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
23.0ms	N	@	0	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
17.0ms	N	@	-inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

rewrite216.0ms (5.8%)

Memory

6.2MiB live, 198.6MiB allocated; 23ms 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 (0.3%)

Memory: -26.9MiB live, 19.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 131 to 289 computations (74.4% saved)

prune6.0ms (0.2%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms 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
	25.9%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))
▶	25.9%	(-.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)))))
▶	99.8%	(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
	28.4%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
▶	96.1%	#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)))
▶	96.1%	#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))
▶	91.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	94.7%	#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 290 to 194 computations (33.1% saved)

series88.0ms (2.3%)

Memory

-15.8MiB live, 174.5MiB allocated; 16ms collecting garbage

Counts

43 → 216

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)
#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)
(-.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 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
(log1p.f64 N)
#s(literal 3 binary64)
(fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(log.f64 N)
(+.f64 (log.f64 N) (log1p.f64 N))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
#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))))
(pow.f64 (log.f64 N) #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 (/ (+ (* 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 (- (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)))) #s(hole binary64 (* -1 (log N))))
#s(approx (- (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)))) #s(hole binary64 (- N (log N))))
#s(approx (- (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)))) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)))) #s(hole binary64 (- (* N (+ 1 (* N (- (* N (- (+ 1/3 (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 2))) (/ 1 (pow (log N) 2)))) (* 1/2 (/ 1 (log N))))) 1/2)))) (log N))))
#s(approx (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (/ (pow N 3) (pow (log N) 2))))
#s(approx (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (* (pow N 3) (+ (* -1 (* N (+ (* 3/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))))
#s(approx (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (* (pow N 3) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 3))) (* 7/4 (/ 1 (pow (log N) 2)))) (+ (* -1 (/ (+ (* 3/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (/ 1 (pow (log N) 4))))) (+ (* 3/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))))
#s(approx (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (* (pow N 3) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 7/4 (/ 1 (pow (log N) 2))) (* N (- (+ (* -1 (/ (+ (* 3/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 4))) (/ 1 (pow (log N) 5)))) (+ (* -1 (/ (* (+ 1 (* -1/2 (log N))) (+ (* 3/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (pow (log N) 2))) (+ (* 15/8 (/ 1 (pow (log N) 2))) (* 25/12 (/ 1 (pow (log N) 3))))))))) (+ (* -1 (/ (+ (* 3/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (/ 1 (pow (log N) 4))))) (+ (* 3/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* -3/2 N)))))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))))
#s(approx (log (+ 1 N)) #s(hole binary64 N))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)) #s(hole binary64 (pow (log N) 2)))
#s(approx (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)) #s(hole binary64 (+ (* N (log N)) (pow (log N) 2))))
#s(approx (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)) #s(hole binary64 (+ (* N (+ (log N) (* N (+ 1 (* -1/2 (log N)))))) (pow (log N) 2))))
#s(approx (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)) #s(hole binary64 (+ (* N (+ (log N) (* N (+ 1 (+ (* -1/2 (log N)) (* N (- (* 1/3 (log N)) 1))))))) (pow (log N) 2))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (+ (log N) (log (+ 1 N))) #s(hole binary64 (log N)))
#s(approx (+ (log N) (log (+ 1 N))) #s(hole binary64 (+ N (log N))))
#s(approx (+ (log N) (log (+ 1 N))) #s(hole binary64 (+ (log N) (* N (+ 1 (* -1/2 N))))))
#s(approx (+ (log N) (log (+ 1 N))) #s(hole binary64 (+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (pow N 2)))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 N)))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))))
#s(approx (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (log N)))
#s(approx (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (+ (log N) (* -1 N))))
#s(approx (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (+ (log N) (* N (- (* 1/2 N) 1)))))
#s(approx (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (+ (log N) (* N (- (* N (+ 1/2 (* N (- (* 1/2 (/ 1 (log N))) (+ 1/3 (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 2)))))))) 1)))))
#s(approx (pow (log N) 3) #s(hole binary64 (pow (log 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)))
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Calls

3 calls:

Time	Variable		Point	Expression
30.0ms	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)) (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 (- (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)))) (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (pow (log (+ 1 N)) 3) (log (+ 1 N)) 3 (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)) (log N) (+ (log N) (log (+ 1 N))) (pow (log (+ 1 N)) 2) 2 (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (pow (log N) 3))
29.0ms	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)) (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 (- (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)))) (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (pow (log (+ 1 N)) 3) (log (+ 1 N)) 3 (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)) (log N) (+ (log N) (log (+ 1 N))) (pow (log (+ 1 N)) 2) 2 (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (pow (log N) 3))
15.0ms	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)) (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 (- (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)))) (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (pow (log (+ 1 N)) 3) (log (+ 1 N)) 3 (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)) (log N) (+ (log N) (log (+ 1 N))) (pow (log (+ 1 N)) 2) 2 (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (pow (log N) 3))

Time

Variable

Point

Expression

30.0ms

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

29.0ms

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

15.0ms

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

rewrite265.0ms (7.1%)

Memory

35.3MiB live, 355.4MiB allocated; 97ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1152	22080
0	1208	15869
0	8149	15245

Stop Event

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

Counts

259 → 360

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)
#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)
(-.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 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
(log1p.f64 N)
#s(literal 3 binary64)
(fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(log.f64 N)
(+.f64 (log.f64 N) (log1p.f64 N))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
#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))))
(pow.f64 (log.f64 N) #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 (/ (+ (* 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 (- (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)))) #s(hole binary64 (* -1 (log N))))
#s(approx (- (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)))) #s(hole binary64 (- N (log N))))
#s(approx (- (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)))) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)))) #s(hole binary64 (- (* N (+ 1 (* N (- (* N (- (+ 1/3 (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 2))) (/ 1 (pow (log N) 2)))) (* 1/2 (/ 1 (log N))))) 1/2)))) (log N))))
#s(approx (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (/ (pow N 3) (pow (log N) 2))))
#s(approx (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (* (pow N 3) (+ (* -1 (* N (+ (* 3/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))))
#s(approx (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (* (pow N 3) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 3))) (* 7/4 (/ 1 (pow (log N) 2)))) (+ (* -1 (/ (+ (* 3/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (/ 1 (pow (log N) 4))))) (+ (* 3/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))))
#s(approx (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) #s(hole binary64 (* (pow N 3) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 7/4 (/ 1 (pow (log N) 2))) (* N (- (+ (* -1 (/ (+ (* 3/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 4))) (/ 1 (pow (log N) 5)))) (+ (* -1 (/ (* (+ 1 (* -1/2 (log N))) (+ (* 3/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (pow (log N) 2))) (+ (* 15/8 (/ 1 (pow (log N) 2))) (* 25/12 (/ 1 (pow (log N) 3))))))))) (+ (* -1 (/ (+ (* 3/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (/ 1 (pow (log N) 4))))) (+ (* 3/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* -3/2 N)))))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (- (* 7/4 N) 3/2))))))
#s(approx (pow (log (+ 1 N)) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (- (* N (+ 7/4 (* -15/8 N))) 3/2))))))
#s(approx (log (+ 1 N)) #s(hole binary64 N))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)) #s(hole binary64 (pow (log N) 2)))
#s(approx (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)) #s(hole binary64 (+ (* N (log N)) (pow (log N) 2))))
#s(approx (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)) #s(hole binary64 (+ (* N (+ (log N) (* N (+ 1 (* -1/2 (log N)))))) (pow (log N) 2))))
#s(approx (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)) #s(hole binary64 (+ (* N (+ (log N) (* N (+ 1 (+ (* -1/2 (log N)) (* N (- (* 1/3 (log N)) 1))))))) (pow (log N) 2))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (+ (log N) (log (+ 1 N))) #s(hole binary64 (log N)))
#s(approx (+ (log N) (log (+ 1 N))) #s(hole binary64 (+ N (log N))))
#s(approx (+ (log N) (log (+ 1 N))) #s(hole binary64 (+ (log N) (* N (+ 1 (* -1/2 N))))))
#s(approx (+ (log N) (log (+ 1 N))) #s(hole binary64 (+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (pow N 2)))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 N)))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))))
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#s(approx (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)) (*.f64 #s(literal 3 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64))))
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binary64))) #s(literal 3 binary64)) N)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) N) (/.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (.f64 (/.f64 (.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -3 binary64)) N) (/.f64 (fma.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 (pow.f64 (.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))))) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))))) (fma.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 (pow.f64 (.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))))))) N)) (.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)) (/.f64 (.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -3 binary64)) (pow.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))))) N) #s(literal -1 binary64) (/.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))))
#s(approx (pow (log N) 3) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)))

eval77.0ms (2.1%)

Memory: -20.7MiB live, 118.2MiB allocated; 19ms collecting garbage
Compiler: Compiled 32 017 to 2 313 computations (92.8% saved)

prune17.0ms (0.4%)

Memory

41.1MiB live, 41.1MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	522	12	534
Fresh	2	1	3
Picked	4	1	5
Done	0	0	0
Total	528	14	542

Accuracy

100.0%

Counts

542 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.8%	(-.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) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
▶	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	99.2%	(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
▶	95.3%	(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
	96.1%	#s(approx (- (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #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))
	94.7%	#s(approx (- (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	96.1%	#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)))
✓	91.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	94.7%	#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))
	91.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
▶	82.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
	94.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (neg.f64 N)))
	91.4%	#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))))
	95.5%	#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 771 to 480 computations (37.7% saved)

series94.0ms (2.5%)

Memory

-15.8MiB live, 119.4MiB allocated; 13ms collecting garbage

Counts

33 → 123

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 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#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)))
(/.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))
(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))
(/.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)
(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))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))
(fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))
#s(literal -1/3 binary64)
#s(literal 1/4 binary64)
(*.f64 N N)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
(neg.f64 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 (/ 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 (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 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 (/ (+ (* -1/3 N) 1/4) (* N N)) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (/ (+ (* -1/3 N) 1/4) (* N N)) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (+ (* -1/3 N) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* -1/3 N) 1/4) #s(hole binary64 (+ 1/4 (* -1/3 N))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (neg 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 (/ 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 (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 1))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 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 (/ (+ (* -1/3 N) 1/4) (* N N)) #s(hole binary64 (/ -1/3 N)))
#s(approx (/ (+ (* -1/3 N) 1/4) (* N N)) #s(hole binary64 (/ (- (* 1/4 (/ 1 N)) 1/3) N)))
#s(approx (+ (* -1/3 N) 1/4) #s(hole binary64 (* -1/3 N)))
#s(approx (+ (* -1/3 N) 1/4) #s(hole binary64 (* N (- (* 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 (/ 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 (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (- (/ 1/3 N) 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) -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 (/ (+ (* -1/3 N) 1/4) (* N N)) #s(hole binary64 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))))
#s(approx (+ (* -1/3 N) 1/4) #s(hole binary64 (* -1 (* N (- 1/3 (* 1/4 (/ 1 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
42.0ms	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)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 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) (/ (+ (* -1/3 N) 1/4) (* N N)) (+ (* -1/3 N) 1/4) -1/3 1/4 (* N N) -1 -1/2 (neg N) (log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log N))
27.0ms	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)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 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) (/ (+ (* -1/3 N) 1/4) (* N N)) (+ (* -1/3 N) 1/4) -1/3 1/4 (* N N) -1 -1/2 (neg N) (log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log N))
23.0ms	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)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 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) (/ (+ (* -1/3 N) 1/4) (* N N)) (+ (* -1/3 N) 1/4) -1/3 1/4 (* N N) -1 -1/2 (neg N) (log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (neg (log N)) (log N))

Time

Variable

Point

Expression

42.0ms

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

27.0ms

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

23.0ms

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

rewrite159.0ms (4.2%)

Memory

8.0MiB live, 187.3MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	323	2626
0	352	2398
1	1420	2368
0	8300	2330

Stop Event

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

Counts

156 → 364

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

eval77.0ms (2.1%)

Memory: 23.9MiB live, 75.5MiB allocated; 54ms collecting garbage
Compiler: Compiled 12 229 to 1 811 computations (85.2% saved)

prune22.0ms (0.6%)

Memory

-8.9MiB live, 39.0MiB allocated; 8ms collecting garbage

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	355	8	363
Fresh	1	7	8
Picked	1	4	5
Done	0	1	1
Total	357	20	377

Accuracy

100.0%

Counts

377 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(-.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))))))
	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))
	99.2%	(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
✓	95.3%	(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
	96.1%	#s(approx (- (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #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))
	94.7%	#s(approx (- (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
	94.1%	#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)))
✓	96.1%	#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)))
▶	94.3%	#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) N (.f64 N #s(literal 1 binary64))) (.f64 N N)))
	95.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N)) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (neg.f64 N) (.f64 (neg.f64 N) #s(literal -1 binary64))) (*.f64 N N)))
✓	91.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	94.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N N))) #s(literal 1 binary64)) N))
	91.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
✓	82.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
	94.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
	94.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (neg.f64 N)))
	96.0%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N)) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N)))
▶	91.4%	#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))))
▶	95.5%	#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 1 012 to 663 computations (34.5% saved)

series19.0ms (0.5%)

Memory

-18.9MiB live, 27.3MiB allocated; 3ms collecting garbage

Counts

43 → 171

Calls

Call 1

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

Outputs
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (- (* -3 (log N)) (* -2 (log N)))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (- (+ N (* -3 (log N))) (* -2 (log N)))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (- (+ (* -3 (log N)) (* N (+ 1 (* -1/2 N)))) (* -2 (log N)))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (- (+ (* -3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* -2 (log N)))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (* -3 (log N))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (+ (* -3 (log N)) (pow N 3))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3)))))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2)))))))
#s(approx (pow N -3) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx N #s(hole binary64 N))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (* -2 (log N))))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (+ (* -2 (log N)) (* -1 N))))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (+ (* -2 (log N)) (* N (- (* 1/2 N) 1)))))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (+ (* -2 (log N)) (* N (- (* N (+ 1/2 (* 2/3 N))) 1)))))
#s(approx (- (pow N -2) (* 1 (pow N -1))) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (- (pow N -2) (* 1 (pow N -1))) #s(hole binary64 (/ (+ 1 (* -1 N)) (pow N 2))))
#s(approx (pow N -2) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (* 1 (pow N -1)) #s(hole binary64 (/ 1 N)))
#s(approx (pow N -1) #s(hole binary64 (/ 1 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 (* N N) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (/ (+ (* -1/2 N) 1/3) (* N N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ (+ (* -1/2 N) 1/3) (* N N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (+ (* -1/2 N) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* -1/2 N) 1/3) #s(hole binary64 (+ 1/3 (* -1/2 N))))
#s(approx (/ (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) (* N N)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) (* N N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) (* N N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) #s(hole binary64 (/ 1/3 N)))
#s(approx (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx (* N 1) #s(hole binary64 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 (/ (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) (pow N 4)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) (pow N 4)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) (pow N 4)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) (pow N 4)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) #s(hole binary64 (- (* 1/3 N) 1/4)))
#s(approx (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) #s(hole binary64 (- (* N (+ 1/3 (* -1/2 N))) 1/4)))
#s(approx (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) #s(hole binary64 (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4)))
#s(approx (* (+ (* (- N 1/2) N) 1/3) N) #s(hole binary64 (* 1/3 N)))
#s(approx (* (+ (* (- N 1/2) N) 1/3) N) #s(hole binary64 (* N (+ 1/3 (* -1/2 N)))))
#s(approx (* (+ (* (- N 1/2) N) 1/3) N) #s(hole binary64 (* N (+ 1/3 (* N (- N 1/2))))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* -1/2 N))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* N (- N 1/2)))))
#s(approx (pow N 4) #s(hole binary64 (pow N 4)))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 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 (+ 1 (pow N -3))) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3))))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (/ -1 N)))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (/ (- (* 1/2 (/ 1 N)) 1) N)))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (/ (- (+ (/ 2/3 (pow N 2)) (* 1/2 (/ 1 N))) 1) N)))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (/ (- (+ (/ 2/3 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) 1) N)))
#s(approx (- (pow N -2) (* 1 (pow N -1))) #s(hole binary64 (/ -1 N)))
#s(approx (- (pow N -2) (* 1 (pow N -1))) #s(hole binary64 (/ (- (/ 1 N) 1) 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 (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 1))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (/ (+ (* -1/2 N) 1/3) (* N N)) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (+ (* -1/2 N) 1/3) (* N N)) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (+ (* -1/2 N) 1/3) #s(hole binary64 (* -1/2 N)))
#s(approx (+ (* -1/2 N) 1/3) #s(hole binary64 (* N (- (* 1/3 (/ 1 N)) 1/2))))
#s(approx (/ (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) (* N N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) #s(hole binary64 N))
#s(approx (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) #s(hole binary64 (* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 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 (/ (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) (pow N 4)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) (pow N 4)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) (pow N 4)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) (pow N 4)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) #s(hole binary64 (pow N 3)))
#s(approx (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) #s(hole binary64 (* (pow N 3) (- 1 (* 1/2 (/ 1 N))))))
#s(approx (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) #s(hole binary64 (* (pow N 3) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) #s(hole binary64 (* (pow N 3) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))))
#s(approx (* (+ (* (- N 1/2) N) 1/3) N) #s(hole binary64 (pow N 3)))
#s(approx (* (+ (* (- N 1/2) N) 1/3) N) #s(hole binary64 (* (pow N 3) (- 1 (* 1/2 (/ 1 N))))))
#s(approx (* (+ (* (- N 1/2) N) 1/3) N) #s(hole binary64 (* (pow N 3) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 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 (+ 1 (pow N -3))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3)))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 2/3 (/ 1 N))) N))) N))))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/4 (pow N 2)) (* 2/3 (/ 1 N)))) N))) N))))
#s(approx (- (pow N -2) (* 1 (pow N -1))) #s(hole binary64 (* -1 (/ (- 1 (/ 1 N)) 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 (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (+ (* -1/2 N) 1/3) (* N N)) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (+ (* -1/2 N) 1/3) #s(hole binary64 (* -1 (* N (- 1/2 (* 1/3 (/ 1 N)))))))
#s(approx (/ (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) (* N N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) #s(hole binary64 (* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))))
#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 (/ (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) (pow N 4)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) (pow N 4)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) (pow N 4)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) #s(hole binary64 (* -1 (* (pow N 3) (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) #s(hole binary64 (* -1 (* (pow N 3) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))))
#s(approx (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) #s(hole binary64 (* -1 (* (pow N 3) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))))
#s(approx (* (+ (* (- N 1/2) N) 1/3) N) #s(hole binary64 (* -1 (* (pow N 3) (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (* (+ (* (- N 1/2) N) 1/3) N) #s(hole binary64 (* -1 (* (pow N 3) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	N	@	inf	((- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) (log (+ 1 (pow N -3))) (pow N -3) N -3 (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) (- (pow N -2) (* 1 (pow N -1))) (pow N -2) -2 (* 1 (pow N -1)) 1 (pow N -1) -1 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (/ (+ (* -1/2 N) 1/3) (* N N)) (+ (* -1/2 N) 1/3) -1/2 1/3 (- (log (+ N 1)) (log N)) (/ (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) (* N N)) (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) (* N 1) (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (/ (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) (pow N 4)) (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) (* (+ (* (- N 1/2) N) 1/3) N) (+ (* (- N 1/2) N) 1/3) 1/4 (pow N 4) 4)
6.0ms	N	@	-inf	((- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) (log (+ 1 (pow N -3))) (pow N -3) N -3 (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) (- (pow N -2) (* 1 (pow N -1))) (pow N -2) -2 (* 1 (pow N -1)) 1 (pow N -1) -1 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (/ (+ (* -1/2 N) 1/3) (* N N)) (+ (* -1/2 N) 1/3) -1/2 1/3 (- (log (+ N 1)) (log N)) (/ (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) (* N N)) (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) (* N 1) (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (/ (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) (pow N 4)) (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) (* (+ (* (- N 1/2) N) 1/3) N) (+ (* (- N 1/2) N) 1/3) 1/4 (pow N 4) 4)
4.0ms	N	@	0	((- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) (log (+ 1 (pow N -3))) (pow N -3) N -3 (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) (- (pow N -2) (* 1 (pow N -1))) (pow N -2) -2 (* 1 (pow N -1)) 1 (pow N -1) -1 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (/ (+ (* -1/2 N) 1/3) (* N N)) (+ (* -1/2 N) 1/3) -1/2 1/3 (- (log (+ N 1)) (log N)) (/ (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) (* N N)) (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) (* N 1) (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (/ (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) (pow N 4)) (- (* (+ (* (- N 1/2) N) 1/3) N) 1/4) (* (+ (* (- N 1/2) N) 1/3) N) (+ (* (- N 1/2) N) 1/3) 1/4 (pow N 4) 4)

Time

Variable

Point

Expression

6.0ms

inf

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

6.0ms

-inf

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

4.0ms

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

rewrite182.0ms (4.9%)

Memory

37.3MiB live, 215.6MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	458	3951
0	502	3516
1	2073	3413
0	8678	3352

Stop Event

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

Counts

214 → 574

Calls

Call 1

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

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

eval77.0ms (2.1%)

Memory: -24.1MiB live, 119.5MiB allocated; 20ms collecting garbage
Compiler: Compiled 20 473 to 2 683 computations (86.9% saved)

prune28.0ms (0.8%)

Memory

14.0MiB live, 60.7MiB allocated; 2ms collecting garbage

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	623	9	632
Fresh	3	7	10
Picked	2	3	5
Done	0	5	5
Total	628	24	652

Accuracy

100.0%

Counts

652 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (/.f64 (pow.f64 N #s(literal -6 binary64)) (+.f64 (pow.f64 N #s(literal -4 binary64)) (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -3 binary64))))) (/.f64 (pow.f64 N #s(literal -3 binary64)) (+.f64 (pow.f64 N #s(literal -4 binary64)) (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -3 binary64))))))))
	99.5%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (* 1 (pow N -1))) (/.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
	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))
	99.2%	(log1p.f64 (*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))))
✓	95.3%	(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
	96.1%	#s(approx (- (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #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))
	94.6%	#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)))
✓	96.1%	#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)))
	95.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N)) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (neg.f64 N) (.f64 (neg.f64 N) #s(literal -1 binary64))) (*.f64 N N)))
✓	91.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	94.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N N))) #s(literal 1 binary64)) N))
	91.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
✓	82.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
	94.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
	94.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
	91.4%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) (.f64 N N)))
	82.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) N) (*.f64 N N)))
	96.0%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N)) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N)))
	91.3%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))))
✓	91.4%	#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))))
	91.3%	#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)))))
✓	95.5%	#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)))))
	95.5%	#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)) (.f64 (.f64 N N) (.f64 N N)))))

Compiler

Compiled 1 647 to 686 computations (58.3% saved)

regimes20.0ms (0.5%)

Memory

-17.7MiB live, 27.9MiB allocated; 3ms collecting garbage

Counts

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

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

Calls

2 calls:

9.0ms	N
8.0ms	(-.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)

regimes10.0ms (0.3%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms 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)) (/.f64 #s(approx (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) 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 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) 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)) #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)) (/.f64 #s(approx (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) (.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N N))) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) #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)) (.f64 (.f64 N N) (.f64 N N)))))
#s(approx (- (/ (pow (log (+ 1 N)) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (/ (pow (log N) 3) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2)))) (/.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 (-.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 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (.f64 N #s(literal 1 binary64))) (.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) 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 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N)) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N)) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (neg.f64 N) (.f64 (neg.f64 N) #s(literal -1 binary64))) (*.f64 N 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
4.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
96.1%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
96.1%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.2%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Counts

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

Outputs

#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)) (*.f64 (*.f64 N N) (*.f64 N N)))))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.5%	1	`N`
95.5%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.2%)

Memory

-40.5MiB live, 9.5MiB allocated; 6ms collecting garbage

Counts

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

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

Calls

2 calls:

5.0ms	N
2.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
94.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
94.6%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

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

Counts

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
94.3%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB 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)) (/.f64 #s(approx (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) 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 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) 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)) #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)) (/.f64 #s(approx (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) (.f64 N N)))

Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #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
91.7%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
91.7%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB 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)) (/.f64 #s(approx (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) 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
91.4%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
91.4%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Accuracy

Total -0.2b remaining (-1.4%)

Threshold costs -0.2b (-1.4%)

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)) (/.f64 #s(approx (+ (* (/ (- (/ 1/3 N) 1/2) N) N) (* N 1)) 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
82.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
82.9%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify44.0ms (1.2%)

Memory

-20.8MiB live, 25.4MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	237
1	122	235
2	294	231
3	1002	228
4	5392	228

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

derivations331.0ms (8.8%)

Memory

7.8MiB live, 277.5MiB allocated; 52ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 239 to 82 computations (65.7% saved)

preprocess39.0ms (1%)

Memory: 15.7MiB live, 69.1MiB allocated; 11ms collecting garbage
Compiler: Compiled 492 to 176 computations (64.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (38%)

explain198.0ms (5.3%)

preprocess235.0ms (6.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series72.0ms (1.9%)

rewrite216.0ms (5.8%)

eval9.0ms (0.3%)

prune6.0ms (0.2%)

series88.0ms (2.3%)

rewrite265.0ms (7.1%)

eval77.0ms (2.1%)

prune17.0ms (0.4%)

series94.0ms (2.5%)

rewrite159.0ms (4.2%)

eval77.0ms (2.1%)

prune22.0ms (0.6%)

series19.0ms (0.5%)

rewrite182.0ms (4.9%)

eval77.0ms (2.1%)

prune28.0ms (0.8%)

regimes20.0ms (0.5%)

regimes10.0ms (0.3%)

regimes8.0ms (0.2%)

regimes6.0ms (0.2%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

simplify44.0ms (1.2%)

derivations331.0ms (8.8%)

preprocess39.0ms (1%)

end0.0ms (0%)

Profiling