Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	3.2%	96.8%	0%	0%	0%	0
100%	3.2%	0%	96.8%	0%	0%	0%	1

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.4s (38.2%)

Memory

66.5MiB live, 1 022.1MiB allocated; 884ms collecting garbage

Samples

1.1s	7 443×	1	valid
69.0ms	813×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 990.0ms

ival-log1p: 329.0ms (33.2% of total)

ival-sub!: 313.0ms (31.6% of total)

ival-log: 216.0ms (21.8% of total)

adjust: 132.0ms (13.3% of total)

Bogosity

explain156.0ms (4.1%)

Memory

-0.2MiB live, 147.4MiB allocated; 40ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
245	3	(46.42604744354035)	-	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
0	0	-	-	`N`
0	0	-	-	`(log.f64 N)`
0	0	-	-	`(+.f64 N #s(literal 1 binary64))`
0	0	-	-	`(log.f64 (+.f64 N #s(literal 1 binary64)))`
0	0	-	-	`#s(literal 1 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`	cancellation	248	0

Confusion

	Predicted +	Predicted -
+	245	0
-	3	8

Precision

0.9879032258064516

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	245	0	0
-	3	0	8

Precision?

0.9879032258064516

Recall?

1.0

Freqs

test

number	freq
0	8
1	248

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms	462×	1	valid
2.0ms	50×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-log1p: 19.0ms (41% of total)

ival-log: 14.0ms (30.2% of total)

adjust: 9.0ms (19.4% of total)

ival-sub!: 2.0ms (4.3% of total)

ival-add!: 1.0ms (2.2% of total)

preprocess78.0ms (2.1%)

Memory

-31.8MiB live, 11.4MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 5 (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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.5%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series51.0ms (1.4%)

Memory

36.4MiB live, 80.0MiB allocated; 11ms 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
22.0ms	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))
12.0ms	N	@	inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

rewrite276.0ms (7.3%)

Memory

-34.0MiB live, 179.9MiB allocated; 30ms 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 (/.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (log1p.f64 (/.f64 #s(literal 1 binary64) N)))) (neg.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) 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) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (log1p.f64 (/.f64 #s(literal 1 binary64) N))) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) 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) (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) 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 (-.f64 N #s(literal -1 binary64)) 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 (.f64 (.f64 N N) N)) (log.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log1p.f64 (.f64 (.f64 N N) N)) (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) (/.f64 #s(literal 1 binary64) (.f64 N N))) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)) #s(literal 1 binary64)) N) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #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 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #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 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (fma.f64 (*.f64 N N) N #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) (/.f64 #s(literal 1 binary64) N)))
(-.f64 N (*.f64 (/.f64 #s(literal -1 binary64) N) N))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 (.f64 (.f64 N N) N) (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 (.f64 (.f64 N N) N) (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)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))) N))
#s(approx (log (+ N 1)) (log.f64 N))
#s(approx (log (+ N 1)) (+.f64 (/.f64 #s(literal 1 binary64) N) (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 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ N 1)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64))))
#s(approx (log (+ N 1)) (+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) N)))
#s(approx (log (+ N 1)) (-.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (log (+ N 1)) (-.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) N)))
#s(approx (log N) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64))))

eval7.0ms (0.2%)

Memory: 16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 141 to 286 computations (74.9% saved)

prune5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	67	7	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	7	75

Accuracy

99.9%

Counts

75 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.4%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) 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 (-.f64 N #s(literal -1 binary64)) N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
▶	99.9%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N))) N))
▶	91.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	94.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
▶	84.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

Compiler

Compiled 278 to 190 computations (31.7% saved)

series31.0ms (0.8%)

Memory

-30.7MiB live, 13.5MiB allocated; 7ms collecting garbage

Counts

27 → 106

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

Calls

3 calls:

Time	Variable		Point	Expression
23.0ms	N	@	0	((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) 1/2 (- (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 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (/ (- (/ 1/4 N) 1/3) (neg N)) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 (neg N))
3.0ms	N	@	-inf	((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) 1/2 (- (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 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (/ (- (/ 1/4 N) 1/3) (neg N)) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 (neg N))
3.0ms	N	@	inf	((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (/ 1/2 N) 1/2 (- (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 (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (/ (- (/ 1/4 N) 1/3) (neg N)) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 (neg N))

Time

Variable

Point

Expression

23.0ms

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

3.0ms

-inf

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

3.0ms

inf

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

rewrite168.0ms (4.5%)

Memory

16.3MiB live, 198.9MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	269	2284
0	300	2125
1	1181	2078
0	8568	2046

Stop Event

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

Counts

133 → 358

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

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

eval57.0ms (1.5%)

Memory: 2.2MiB live, 62.2MiB allocated; 8ms collecting garbage
Compiler: Compiled 9 936 to 1 646 computations (83.4% saved)

prune34.0ms (0.9%)

Memory

-24.0MiB live, 22.9MiB allocated; 3ms collecting garbage

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	323	20	343
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	326	24	350

Accuracy

100.0%

Counts

350 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
	26.0%	(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
✓	99.9%	(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))))
	95.2%	(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
	91.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)) N))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(approx (/ (- (/ 1/4 N) 1/3) (neg N)) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 N)))
	91.1%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))))
	94.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 N N) N))) N))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) (neg.f64 N)) (neg.f64 N)) (.f64 (neg.f64 N) #s(literal 1 binary64))) (*.f64 N N)))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (.f64 (.f64 N N) N))) #s(literal 1 binary64)) (neg.f64 N)))
✓	91.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	94.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
▶	94.3%	#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))
▶	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (.f64 (.f64 N N) N))) (neg.f64 N)))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal -1/2 binary64) N)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)))) (neg.f64 N)))
	94.3%	#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))
✓	84.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
	91.7%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 (*.f64 N N) N) N))))
▶	91.5%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
	94.0%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N))))

Compiler

Compiled 1 147 to 796 computations (30.6% saved)

series20.0ms (0.5%)

Memory

24.7MiB live, 24.7MiB allocated; 0ms collecting garbage

Counts

43 → 193

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	N	@	-inf	((- (log (+ 1 (/ 1 (* (* N N) N)))) (log (+ 1 (* (/ 1 N) (- (/ 1 N) 1))))) (log (+ 1 (/ 1 (* (* N N) N)))) (/ 1 (* (* N N) N)) 1 (* (* N N) N) (* N N) N (log (+ 1 (* (/ 1 N) (- (/ 1 N) 1)))) (* (/ 1 N) (- (/ 1 N) 1)) (/ 1 N) (- (/ 1 N) 1) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 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)) (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (/ (+ (* (+ (* (- 1/2 N) N) -1/3) N) 1/4) (* (* N N) N)) (+ (* (+ (* (- 1/2 N) N) -1/3) N) 1/4) (+ (* (- 1/2 N) N) -1/3) (- 1/2 N) -1/3 1/4 (neg N) (- (log (+ N 1)) (log N)) (/ (- (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (/ 1/4 (* (* N N) N))) N) (- (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (/ 1/4 (* (* N N) N))) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) -1 (/ 1/2 N) (/ 1/4 (* (* N N) N)))
5.0ms	N	@	inf	((- (log (+ 1 (/ 1 (* (* N N) N)))) (log (+ 1 (* (/ 1 N) (- (/ 1 N) 1))))) (log (+ 1 (/ 1 (* (* N N) N)))) (/ 1 (* (* N N) N)) 1 (* (* N N) N) (* N N) N (log (+ 1 (* (/ 1 N) (- (/ 1 N) 1)))) (* (/ 1 N) (- (/ 1 N) 1)) (/ 1 N) (- (/ 1 N) 1) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 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)) (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (/ (+ (* (+ (* (- 1/2 N) N) -1/3) N) 1/4) (* (* N N) N)) (+ (* (+ (* (- 1/2 N) N) -1/3) N) 1/4) (+ (* (- 1/2 N) N) -1/3) (- 1/2 N) -1/3 1/4 (neg N) (- (log (+ N 1)) (log N)) (/ (- (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (/ 1/4 (* (* N N) N))) N) (- (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (/ 1/4 (* (* N N) N))) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) -1 (/ 1/2 N) (/ 1/4 (* (* N N) N)))
5.0ms	N	@	0	((- (log (+ 1 (/ 1 (* (* N N) N)))) (log (+ 1 (* (/ 1 N) (- (/ 1 N) 1))))) (log (+ 1 (/ 1 (* (* N N) N)))) (/ 1 (* (* N N) N)) 1 (* (* N N) N) (* N N) N (log (+ 1 (* (/ 1 N) (- (/ 1 N) 1)))) (* (/ 1 N) (- (/ 1 N) 1)) (/ 1 N) (- (/ 1 N) 1) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 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)) (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (/ (+ (* (+ (* (- 1/2 N) N) -1/3) N) 1/4) (* (* N N) N)) (+ (* (+ (* (- 1/2 N) N) -1/3) N) 1/4) (+ (* (- 1/2 N) N) -1/3) (- 1/2 N) -1/3 1/4 (neg N) (- (log (+ N 1)) (log N)) (/ (- (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (/ 1/4 (* (* N N) N))) N) (- (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (/ 1/4 (* (* N N) N))) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) -1 (/ 1/2 N) (/ 1/4 (* (* N N) N)))

Time

Variable

Point

Expression

6.0ms

-inf

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

5.0ms

inf

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

5.0ms

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

rewrite208.0ms (5.5%)

Memory

14.2MiB live, 283.6MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	512	4743
0	563	4222
1	2382	4218
0	9755	4098

Stop Event

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

Counts

236 → 513

Calls

Call 1

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

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

eval91.0ms (2.4%)

Memory: -14.9MiB live, 135.3MiB allocated; 41ms collecting garbage
Compiler: Compiled 23 935 to 3 038 computations (87.3% saved)

prune31.0ms (0.8%)

Memory

-19.1MiB live, 83.0MiB allocated; 8ms collecting garbage

Pruning

31 alts after pruning (24 fresh and 7 done)

	Pruned	Kept	Total
New	588	14	602
Fresh	5	10	15
Picked	2	3	5
Done	0	4	4
Total	595	31	626

Accuracy

100.0%

Counts

626 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))) (log1p.f64 #s(approx (* (/ 1 N) (- (/ 1 N) 1)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N))))
	99.5%	(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))) (log1p.f64 #s(approx (* (/ 1 N) (- (/ 1 N) 1)) (/.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64)) (*.f64 N N)))))
	26.0%	(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
	98.3%	(-.f64 #s(approx (log (+ 1 (/ 1 (* (* N N) N)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 N N) N)) #s(literal 1/2 binary64)) (.f64 (.f64 N N) N))) #s(literal 1 binary64)) (.f64 (.f64 N N) N)))) (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
✓	99.9%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	91.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)) N))
▶	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) #s(literal 1/2 binary64)) N)) N))
	94.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (.f64 (.f64 N N) N))) #s(literal 1 binary64)) (neg.f64 N)))
✓	91.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	94.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
✓	94.3%	#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))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))))) (neg.f64 N)))
✓	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (.f64 (.f64 N N) N))) (neg.f64 N)))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (/.f64 (fma.f64 (+.f64 (.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (.f64 (*.f64 N N) N))) (neg.f64 N)))
	94.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (/.f64 (fma.f64 (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) N) (.f64 (.f64 N N) N) (.f64 (.f64 (.f64 N N) N) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 N N) (.f64 N N)) (*.f64 N N)))) (neg.f64 N)))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N)) (/.f64 #s(literal -1/2 binary64) N)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)))) (neg.f64 N)))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (+.f64 (/.f64 (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) N) (.f64 (.f64 N N) N)) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 N N) N)))) (neg.f64 N)))
	94.3%	#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))
✓	84.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) N) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) #s(literal 1/2 binary64)) N) N)))
▶	95.6%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 N N) N)) N)))
	91.7%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
▶	95.2%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 (*.f64 N N) N) N))))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 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)))))
	91.2%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) #s(literal 1/2 binary64))) (.f64 (.f64 N N) (*.f64 N N)))))
✓	91.5%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
▶	84.4%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N))))
	91.4%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (-.f64 (/.f64 N (.f64 N N)) (/.f64 #s(literal 1/2 binary64) (.f64 N N)))))
	94.0%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N))))

Compiler

Compiled 1 764 to 1 164 computations (34% saved)

series18.0ms (0.5%)

Memory

37.4MiB live, 37.4MiB allocated; 0ms collecting garbage

Counts

43 → 183

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	N	@	-inf	((- (log (+ 1 (/ 1 (* (* N N) N)))) (log (+ 1 (* (/ 1 N) (- (/ 1 N) 1))))) (log (+ 1 (/ 1 (* (* N N) N)))) (/ 1 (* (* N N) N)) 1 (* (* N N) N) (* N N) N (log (+ 1 (* (/ 1 N) (- (/ 1 N) 1)))) (* (/ 1 N) (- (/ 1 N) 1)) (/ (- (/ 1 N) 1) N) (- (/ 1 N) 1) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (* (* (* N N) N) N)) (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (+ (* (- N 1/2) N) 1/3) (- N 1/2) 1/2 1/3 -1/4 (* (* (* N N) N) N) (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ (+ (/ 1/4 (* N N)) 1/2) N)) N) (- (- (/ 1/3 (* N N)) -1) (/ (+ (/ 1/4 (* N N)) 1/2) N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) -1 (/ (+ (/ 1/4 (* N N)) 1/2) N) (+ (/ 1/4 (* N N)) 1/2) (/ 1/4 (* N N)) 1/4 (- (log (+ N 1)) (log N)) (- (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/ (/ 1/4 (* (* N N) N)) N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (/ 1/2 N) (/ (/ 1/4 (* (* N N) N)) N) (/ 1/4 (* (* N N) N)))
5.0ms	N	@	inf	((- (log (+ 1 (/ 1 (* (* N N) N)))) (log (+ 1 (* (/ 1 N) (- (/ 1 N) 1))))) (log (+ 1 (/ 1 (* (* N N) N)))) (/ 1 (* (* N N) N)) 1 (* (* N N) N) (* N N) N (log (+ 1 (* (/ 1 N) (- (/ 1 N) 1)))) (* (/ 1 N) (- (/ 1 N) 1)) (/ (- (/ 1 N) 1) N) (- (/ 1 N) 1) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (* (* (* N N) N) N)) (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (+ (* (- N 1/2) N) 1/3) (- N 1/2) 1/2 1/3 -1/4 (* (* (* N N) N) N) (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ (+ (/ 1/4 (* N N)) 1/2) N)) N) (- (- (/ 1/3 (* N N)) -1) (/ (+ (/ 1/4 (* N N)) 1/2) N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) -1 (/ (+ (/ 1/4 (* N N)) 1/2) N) (+ (/ 1/4 (* N N)) 1/2) (/ 1/4 (* N N)) 1/4 (- (log (+ N 1)) (log N)) (- (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/ (/ 1/4 (* (* N N) N)) N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (/ 1/2 N) (/ (/ 1/4 (* (* N N) N)) N) (/ 1/4 (* (* N N) N)))
5.0ms	N	@	0	((- (log (+ 1 (/ 1 (* (* N N) N)))) (log (+ 1 (* (/ 1 N) (- (/ 1 N) 1))))) (log (+ 1 (/ 1 (* (* N N) N)))) (/ 1 (* (* N N) N)) 1 (* (* N N) N) (* N N) N (log (+ 1 (* (/ 1 N) (- (/ 1 N) 1)))) (* (/ 1 N) (- (/ 1 N) 1)) (/ (- (/ 1 N) 1) N) (- (/ 1 N) 1) (/ 1 N) (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (* (* (* N N) N) N)) (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (+ (* (- N 1/2) N) 1/3) (- N 1/2) 1/2 1/3 -1/4 (* (* (* N N) N) N) (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ (+ (/ 1/4 (* N N)) 1/2) N)) N) (- (- (/ 1/3 (* N N)) -1) (/ (+ (/ 1/4 (* N N)) 1/2) N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) -1 (/ (+ (/ 1/4 (* N N)) 1/2) N) (+ (/ 1/4 (* N N)) 1/2) (/ 1/4 (* N N)) 1/4 (- (log (+ N 1)) (log N)) (- (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/ (/ 1/4 (* (* N N) N)) N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (/ 1/2 N) (/ (/ 1/4 (* (* N N) N)) N) (/ 1/4 (* (* N N) N)))

Time

Variable

Point

Expression

6.0ms

-inf

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

5.0ms

inf

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

5.0ms

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

rewrite285.0ms (7.6%)

Memory

20.7MiB live, 285.4MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	486	4801
0	542	4238
1	2302	4232
0	9465	4052

Stop Event

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

Counts

226 → 543

Calls

Call 1

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

eval91.0ms (2.4%)

Memory: -5.2MiB live, 148.0MiB allocated; 36ms collecting garbage
Compiler: Compiled 27 732 to 3 193 computations (88.5% saved)

prune40.0ms (1.1%)

Memory

-17.8MiB live, 75.2MiB allocated; 6ms collecting garbage

Pruning

38 alts after pruning (29 fresh and 9 done)

	Pruned	Kept	Total
New	648	16	664
Fresh	6	13	19
Picked	2	3	5
Done	1	6	7
Total	657	38	695

Accuracy

100.0%

Counts

695 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))) (log1p.f64 #s(approx (* (/ 1 N) (- (/ 1 N) 1)) (/.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64)) (*.f64 N N)))))
	26.0%	(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
	97.7%	(-.f64 #s(approx (log (+ 1 (/ 1 (* (* N N) N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 N N) N))) (.f64 (.f64 N N) N))) (log1p.f64 #s(approx (* (/ 1 N) (- (/ 1 N) 1)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N))))
	96.2%	(-.f64 #s(approx (log (+ 1 (/ 1 (* (* N N) N)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))) (log1p.f64 #s(approx (* (/ 1 N) (- (/ 1 N) 1)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N))))
	98.3%	(-.f64 #s(approx (log (+ 1 (/ 1 (* (* N N) N)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 N N) N)) #s(literal 1/2 binary64)) (.f64 (.f64 N N) N))) #s(literal 1 binary64)) (.f64 (.f64 N N) N)))) (log1p.f64 #s(approx (* (/ 1 N) (- (/ 1 N) 1)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N))))
✓	99.9%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
	91.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)) N))
✓	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) #s(literal 1/2 binary64)) N)) N))
	94.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(approx (+ (/ 1/4 ( N N)) 1/2) #s(literal 1/2 binary64)) N)) N))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 N N) N)))) N))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))) (.f64 (.f64 N N) (.f64 N N))) (.f64 N #s(literal 1/4 binary64))) (.f64 N (.f64 (.f64 N N) (.f64 N N)))))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (.f64 (.f64 N N) N))) #s(literal 1 binary64)) (neg.f64 N)))
✓	91.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	94.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
✓	94.3%	#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))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (/.f64 (fma.f64 (+.f64 (.f64 (-.f64 #s(literal 1/2 binary64) N) N) #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (.f64 (*.f64 N N) N))) (neg.f64 N)))
	94.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (/.f64 (fma.f64 (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) N) (.f64 (.f64 N N) N) (.f64 (.f64 (.f64 N N) N) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 N N) (.f64 N N)) (*.f64 N N)))) (neg.f64 N)))
	94.3%	#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))
✓	84.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (neg.f64 N)) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) N) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) #s(literal 1/2 binary64)) N) N)))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) (.f64 N N)))))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) N) (.f64 N (/.f64 #s(literal 1/2 binary64) N))) (.f64 N N)) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N)) N)))
	91.7%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal -1 binary64)) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 N N) N)) N)))
	95.3%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N))) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 N N) N)) N)))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N))) N))))
✓	95.2%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 (*.f64 N N) N) N))))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) (*.f64 N N)))))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (/.f64 (fma.f64 (+.f64 (.f64 (-.f64 N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 (.f64 N N) N) N))))
	95.2%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (/.f64 (fma.f64 #s(approx (+ (* (- N 1/2) N) 1/3) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) (.f64 N N))) N #s(literal -1/4 binary64)) (.f64 (.f64 (*.f64 N N) N) N))))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (.f64 (.f64 N N) N)) N)))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (+.f64 (/.f64 (.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) (.f64 (.f64 N N) (.f64 N N))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 N N) (*.f64 N N))))))
	91.2%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) #s(literal 1/2 binary64))) (.f64 (.f64 N N) (*.f64 N N)))))
✓	91.5%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
✓	84.4%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N))))
	91.4%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (-.f64 (/.f64 N (.f64 N N)) (/.f64 #s(literal 1/2 binary64) (.f64 N N)))))
	94.0%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N N) N))))

Compiler

Compiled 3 161 to 1 162 computations (63.2% saved)

regimes46.0ms (1.2%)

Memory

-4.4MiB live, 47.4MiB allocated; 32ms collecting garbage

Counts

58 → 1

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
14.0ms	N

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
99.9%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes20.0ms (0.5%)

Memory

25.7MiB live, 25.7MiB allocated; 0ms collecting garbage

Counts

44 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

11.0ms	N
8.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
95.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
95.6%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes22.0ms (0.6%)

Memory

-35.3MiB live, 12.6MiB allocated; 3ms collecting garbage

Counts

22 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

16.0ms	N
4.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
95.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
95.6%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes10.0ms (0.3%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes9.0ms (0.2%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

5.0ms	N
3.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.2%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

Outputs

#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 N) 1/3) (neg N)) 1/2) (neg N)) 1) (neg N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 N N) 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
95.2%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
95.2%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes24.0ms (0.6%)

Memory

-38.7MiB live, 8.0MiB allocated; 2ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

20.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
4.0ms	N

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.2%)

Memory

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

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (.f64 (.f64 N 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 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) 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)) (/.f64 (/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)) 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
94.3%	1	`N`
94.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.0%	1	`N`
94.0%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
91.8%	1	`N`
91.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

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

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
91.5%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
91.5%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.2b remaining (-1.8%)

Threshold costs -0.2b (-1.8%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
84.7%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
84.7%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

derivations420.0ms (11.2%)

Memory

6.2MiB live, 336.3MiB allocated; 56ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 395 to 94 computations (76.2% saved)

preprocess98.0ms (2.6%)

Memory: -12.0MiB live, 224.7MiB allocated; 19ms collecting garbage
Compiler: Compiled 804 to 200 computations (75.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (38.2%)

explain156.0ms (4.1%)

preprocess78.0ms (2.1%)

series51.0ms (1.4%)

rewrite276.0ms (7.3%)

eval7.0ms (0.2%)

prune5.0ms (0.1%)

series31.0ms (0.8%)

rewrite168.0ms (4.5%)

eval57.0ms (1.5%)

prune34.0ms (0.9%)

series20.0ms (0.5%)

rewrite208.0ms (5.5%)

eval91.0ms (2.4%)

prune31.0ms (0.8%)

series18.0ms (0.5%)

rewrite285.0ms (7.6%)

eval91.0ms (2.4%)

prune40.0ms (1.1%)

regimes46.0ms (1.2%)

regimes20.0ms (0.5%)

regimes22.0ms (0.6%)

regimes10.0ms (0.3%)

regimes9.0ms (0.2%)

regimes8.0ms (0.2%)

regimes24.0ms (0.6%)

regimes6.0ms (0.2%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

derivations420.0ms (11.2%)

preprocess98.0ms (2.6%)

end0.0ms (0%)

Profiling