Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.6s (40.9%)

Memory

45.5MiB live, 1 146.3MiB allocated; 944ms collecting garbage

Samples

1.3s	7 292×	1	valid
65.0ms	964×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 832.0ms

ival-log1p: 270.0ms (32.5% of total)

adjust: 247.0ms (29.7% of total)

ival-log: 235.0ms (28.3% of total)

ival-sub: 77.0ms (9.3% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain139.0ms (3.5%)

Memory

-19.7MiB live, 128.0MiB allocated; 14ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
250	-	2	(16.14610901344363)	`(-.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	3

Confusion

	Predicted +	Predicted -
+	248	2
-	0	6

Precision

1.0

Recall

0.992

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	248	2	0
-	0	1	5

Precision?

0.9960159362549801

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

68.0ms	460×	1	valid
3.0ms	52×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-log1p: 15.0ms (30.3% of total)

ival-log: 14.0ms (28.2% of total)

adjust: 12.0ms (24.2% of total)

ival-sub: 5.0ms (10.1% of total)

ival-add: 3.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess261.0ms (6.6%)

Memory

-9.9MiB live, 225.4MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.8%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series55.0ms (1.4%)

Memory

12.2MiB live, 56.3MiB allocated; 8ms 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
25.0ms	N	@	-inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
23.0ms	N	@	0	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
6.0ms	N	@	inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

rewrite218.0ms (5.5%)

Memory

14.0MiB live, 200.0MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

37 → 79

Calls

Call 1

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

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

eval8.0ms (0.2%)

Memory: 17.7MiB live, 17.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 131 to 289 computations (74.4% saved)

prune6.0ms (0.2%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

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

Accuracy

99.9%

Counts

80 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.6%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
▶	24.8%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	99.8%	(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
	27.7%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
▶	96.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
	96.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N))
▶	93.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #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) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))

Compiler

Compiled 242 to 178 computations (26.4% saved)

series101.0ms (2.5%)

Memory

-27.7MiB live, 74.8MiB allocated; 19ms collecting garbage

Counts

32 → 170

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
59.0ms	N	@	0	((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) 1 (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 1/3 -1/2 (neg N) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) 2 (+ (log N) (log (+ 1 N))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) (pow (log N) 2))
23.0ms	N	@	-inf	((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) 1 (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 1/3 -1/2 (neg N) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) 2 (+ (log N) (log (+ 1 N))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) (pow (log N) 2))
14.0ms	N	@	inf	((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) 1 (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 1/3 -1/2 (neg N) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N) (- (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N))))) (/ (pow (log (+ 1 N)) 2) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) 2 (+ (log N) (log (+ 1 N))) (/ (pow (log N) 2) (+ (log N) (log (+ 1 N)))) (pow (log N) 2))

Time

Variable

Point

Expression

59.0ms

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

23.0ms

-inf

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

14.0ms

inf

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

rewrite209.0ms (5.3%)

Memory

-3.4MiB live, 232.0MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	757	7534
0	798	6344
1	4886	6291
0	8302	6043

Stop Event

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

Counts

202 → 302

Calls

Call 1

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

eval102.0ms (2.6%)

Memory: 26.5MiB live, 72.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 14 086 to 1 647 computations (88.3% saved)

prune47.0ms (1.2%)

Memory

-26.1MiB live, 31.7MiB allocated; 22ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	416	12	428
Fresh	2	1	3
Picked	4	1	5
Done	0	0	0
Total	422	14	436

Accuracy

100.0%

Counts

436 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
✓	24.8%	(-.f64 (log1p.f64 N) (log.f64 N))
	99.7%	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
▶	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
▶	96.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
▶	93.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) N))
▶	95.6%	#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))
	93.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
▶	84.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
	96.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)) N #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 N)))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (neg.f64 N)))
	93.3%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
	95.6%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)))
	96.3%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))

Compiler

Compiled 669 to 500 computations (25.3% saved)

series14.0ms (0.4%)

Memory

20.6MiB live, 20.6MiB allocated; 0ms collecting garbage

Counts

37 → 130

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

4.0ms

inf

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

4.0ms

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

4.0ms

-inf

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

rewrite205.0ms (5.2%)

Memory

-20.5MiB live, 167.5MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	326	2842
0	360	2535
1	1428	2507
0	8235	2459

Stop Event

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

Counts

167 → 450

Calls

Call 1

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

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

eval61.0ms (1.5%)

Memory: 21.4MiB live, 66.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 16 189 to 2 398 computations (85.2% saved)

prune51.0ms (1.3%)

Memory

-15.2MiB live, 30.9MiB allocated; 4ms collecting garbage

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	472	10	482
Fresh	5	3	8
Picked	2	3	5
Done	0	1	1
Total	479	17	496

Accuracy

100.0%

Counts

496 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
✓	24.8%	(-.f64 (log1p.f64 N) (log.f64 N))
	99.7%	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
✓	96.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
	96.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N)) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (neg.f64 N) (.f64 (neg.f64 N) #s(literal -1 binary64))) (*.f64 N N)))
	94.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- 1 (pow (/ 1/2 N) 2)) #s(literal 1 binary64)) (+.f64 #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 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
	93.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)))
▶	95.6%	#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))
	93.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (/ (- 1 (pow (/ 1/2 N) 2)) (+ 1 (/ 1/2 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
✓	84.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
	95.5%	#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))
▶	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (neg.f64 N)))
	96.7%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N)) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N)))
▶	93.3%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- 1 (pow (/ 1/2 N) 2)) (+ 1 (/ 1/2 N))) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
▶	95.3%	#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)) (pow.f64 N #s(literal 3 binary64)))))

Compiler

Compiled 775 to 560 computations (27.7% saved)

series18.0ms (0.5%)

Memory

20.9MiB live, 20.9MiB allocated; 0ms collecting garbage

Counts

41 → 151

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	N	@	-inf	((- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) (log (+ 1 (pow N -3))) (pow N -3) N -3 (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) (- (pow N -2) (* 1 (pow N -1))) (pow N -2) -2 (* 1 (pow N -1)) 1 (pow N -1) -1 (- (log (+ N 1)) (log N)) (/ (/ (- 1 (pow (/ 1/2 N) 2)) (+ 1 (/ 1/2 N))) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (/ (+ (* -1/2 N) 1/3) (* N N)) (+ (* -1/2 N) 1/3) -1/2 1/3 (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (- (- (/ 1/2 N) 1) (/ 1/3 (* N N))) (- (/ 1/2 N) 1) (/ 1/2 N) (/ 1/3 (* N N)) (neg N) (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) (+ (* (- N 1/2) N) 1/3) (pow N 3) 3)
5.0ms	N	@	inf	((- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) (log (+ 1 (pow N -3))) (pow N -3) N -3 (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) (- (pow N -2) (* 1 (pow N -1))) (pow N -2) -2 (* 1 (pow N -1)) 1 (pow N -1) -1 (- (log (+ N 1)) (log N)) (/ (/ (- 1 (pow (/ 1/2 N) 2)) (+ 1 (/ 1/2 N))) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (/ (+ (* -1/2 N) 1/3) (* N N)) (+ (* -1/2 N) 1/3) -1/2 1/3 (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (- (- (/ 1/2 N) 1) (/ 1/3 (* N N))) (- (/ 1/2 N) 1) (/ 1/2 N) (/ 1/3 (* N N)) (neg N) (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) (+ (* (- N 1/2) N) 1/3) (pow N 3) 3)
4.0ms	N	@	0	((- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) (log (+ 1 (pow N -3))) (pow N -3) N -3 (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) (- (pow N -2) (* 1 (pow N -1))) (pow N -2) -2 (* 1 (pow N -1)) 1 (pow N -1) -1 (- (log (+ N 1)) (log N)) (/ (/ (- 1 (pow (/ 1/2 N) 2)) (+ 1 (/ 1/2 N))) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (* N N) (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (/ (+ (* -1/2 N) 1/3) (* N N)) (+ (* -1/2 N) 1/3) -1/2 1/3 (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (- (- (/ 1/2 N) 1) (/ 1/3 (* N N))) (- (/ 1/2 N) 1) (/ 1/2 N) (/ 1/3 (* N N)) (neg N) (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) (+ (* (- N 1/2) N) 1/3) (pow N 3) 3)

Time

Variable

Point

Expression

6.0ms

-inf

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

5.0ms

inf

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

4.0ms

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

rewrite235.0ms (5.9%)

Memory

-12.0MiB live, 216.4MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	444	3524
0	482	3115
1	2194	3020
0	9465	2945

Stop Event

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

Counts

192 → 527

Calls

Call 1

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

Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(log1p.f64 (pow.f64 N #s(literal -3 binary64)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -6 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -9 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -6 binary64)) (pow.f64 N #s(literal -3 binary64)))))
(log.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3/2 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 N N)) (/.f64 #s(literal -1 binary64) N))
(*.f64 (neg.f64 (pow.f64 N #s(literal -3/2 binary64))) (neg.f64 (pow.f64 N #s(literal -3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 N #s(literal -3/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 N #s(literal -3/2 binary64)) (pow.f64 N #s(literal -3/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 #s(literal -1 binary64) (.f64 N N)))
(*.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal -2 binary64)))
(*.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64)))
(*.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -3 binary64)) (log.f64 N))
(pow.f64 (exp.f64 (log.f64 N)) #s(literal -3 binary64))
(pow.f64 (pow.f64 N #s(literal -3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 N N) #s(literal -3/2 binary64))
(pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 N #s(literal -3 binary64))
(/.f64 (pow.f64 N #s(literal -9 binary64)) (pow.f64 N #s(literal -6 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 N #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 (.f64 N N)) N))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 N N)) (neg.f64 N)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 N) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal -3 binary64) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 N) #s(literal 3 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 N) #s(literal -3 binary64))) (sinh.f64 (.f64 (log.f64 N) #s(literal -3 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 N) #s(literal 3 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 N) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 N) #s(literal -2 binary64) (neg.f64 (log.f64 N))))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 N) #s(literal -3 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 N)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 N) #s(literal -3 binary64)))
N
#s(literal -3 binary64)
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#s(approx (+ (* (- N 1/2) N) 1/3) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (.f64 N N)))
#s(approx (+ (* (- N 1/2) N) 1/3) (.f64 (.f64 N N) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (* 1 (pow N -1)))))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (pow N -3))) (neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))))
#s(approx (log (+ 1 (pow N -3))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 N #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))))
#s(approx (log (+ 1 (pow N -3))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 N #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (- (pow N -2) (* 1 (pow N -1))))) (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 2/3 binary64) N)) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) N)))
#s(approx (- (pow N -2) (* 1 (pow N -1))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) N)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (/ (/ (- 1 (pow (/ 1/2 N) 2)) (+ 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) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))
#s(approx (/ (+ (* -1/2 N) 1/3) (* N N)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))
#s(approx (+ (* -1/2 N) 1/3) (*.f64 (neg.f64 N) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)))
#s(approx (- (- (/ 1/2 N) 1) (/ 1/3 (* 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 (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) (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) (.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 N N)))

eval76.0ms (1.9%)

Memory: 20.3MiB live, 166.7MiB allocated; 15ms collecting garbage
Compiler: Compiled 19 730 to 2 573 computations (87% saved)

prune49.0ms (1.2%)

Memory

-0.7MiB live, 93.9MiB allocated; 41ms collecting garbage

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	575	7	582
Fresh	1	7	8
Picked	2	3	5
Done	0	4	4
Total	578	21	599

Accuracy

100.0%

Counts

599 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (-.f64 (pow.f64 N #s(literal -4 binary64)) (pow.f64 N #s(literal -2 binary64))) (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))))
	99.7%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) N))))
	99.4%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (* 1 (pow N -1))) (/.f64 (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)) (*.f64 N N)))))
✓	24.8%	(-.f64 (log1p.f64 N) (log.f64 N))
	99.7%	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
✓	96.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
	96.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N)) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (neg.f64 N) (.f64 (neg.f64 N) #s(literal -1 binary64))) (*.f64 N N)))
	94.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (- 1 (pow (/ 1/2 N) 2)) #s(literal 1 binary64)) (+.f64 #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 #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 (/ (- (/ 1/3 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))
	93.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (/ (- 1 (pow (/ 1/2 N) 2)) (+ 1 (/ 1/2 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
✓	84.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
	95.5%	#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))
	95.5%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(approx (- (- (/ 1/2 N) 1) (/ 1/3 (* N N))) (/.f64 (-.f64 (.f64 (fma.f64 #s(literal -1 binary64) N #s(literal 1/2 binary64)) N) #s(literal 1/3 binary64)) (.f64 N N)))) (neg.f64 N)))
	96.7%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N)) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N)))
	93.2%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- 1 (pow (/ 1/2 N) 2)) (+ 1 (/ 1/2 N))) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))))
✓	93.3%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- 1 (pow (/ 1/2 N) 2)) (+ 1 (/ 1/2 N))) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
	83.8%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- 1 (pow (/ 1/2 N) 2)) (+ 1 (/ 1/2 N))) N) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N))))
✓	95.3%	#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)) (pow.f64 N #s(literal 3 binary64)))))
	95.3%	#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 1 495 to 629 computations (57.9% saved)

regimes31.0ms (0.8%)

Memory

-6.0MiB live, 36.6MiB allocated; 12ms collecting garbage

Counts

38 → 1

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	N
7.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes10.0ms (0.3%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.8%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
96.8%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes14.0ms (0.3%)

Memory

-28.6MiB live, 15.2MiB allocated; 7ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

9.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
4.0ms	N

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- 1 (pow (/ 1/2 N) 2)) (+ 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)) #s(approx (/ (/ (- 1 (pow (/ 1/2 N) 2)) (+ 1 (/ 1/2 N))) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (/ (- 1 (pow (/ 1/2 N) 2)) (+ 1 (/ 1/2 N))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 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)) (/.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
95.5%	1	`N`
95.5%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
95.3%	1	`N`
95.3%	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

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

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
93.6%	1	`N`
93.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.2%)

Memory

-38.6MiB live, 7.5MiB allocated; 3ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

4.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
2.0ms	N

Results

Accuracy	Segments	Branch
93.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
93.3%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory

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

Accuracy

Total -0.2b remaining (-1.5%)

Threshold costs -0.2b (-1.5%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
84.0%	1	`N`
84.0%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify46.0ms (1.2%)

Memory

4.0MiB live, 58.4MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	190
1	81	190
2	105	190
3	151	190
4	264	190
5	678	190
6	4819	190

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations319.0ms (8%)

Memory

-7.7MiB live, 177.1MiB allocated; 17ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 190 to 65 computations (65.8% saved)

preprocess44.0ms (1.1%)

Memory: 25.8MiB live, 69.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 448 to 180 computations (59.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (40.9%)

explain139.0ms (3.5%)

preprocess261.0ms (6.6%)

eval0.0ms (0%)

prune0.0ms (0%)

series55.0ms (1.4%)

rewrite218.0ms (5.5%)

eval8.0ms (0.2%)

prune6.0ms (0.2%)

series101.0ms (2.5%)

rewrite209.0ms (5.3%)

eval102.0ms (2.6%)

prune47.0ms (1.2%)

series14.0ms (0.4%)

rewrite205.0ms (5.2%)

eval61.0ms (1.5%)

prune51.0ms (1.3%)

series18.0ms (0.5%)

rewrite235.0ms (5.9%)

eval76.0ms (1.9%)

prune49.0ms (1.2%)

regimes31.0ms (0.8%)

regimes10.0ms (0.3%)

regimes14.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.2%)

regimes2.0ms (0.1%)

simplify46.0ms (1.2%)

derivations319.0ms (8%)

preprocess44.0ms (1.1%)

end0.0ms (0%)

Profiling