Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample1.2s (37.1%)

Memory

0.7MiB live, 2 680.1MiB allocated; 246ms collecting garbage

Samples

901.0ms	7 432×	1	valid
37.0ms	824×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 725.0ms

ival-log1p: 286.0ms (39.5% of total)

ival-log: 246.0ms (34% of total)

adjust: 145.0ms (20% of total)

ival-sub!: 48.0ms (6.6% of total)

Bogosity

explain183.0ms (5.5%)

Memory

6.7MiB live, 244.1MiB allocated; 83ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
246	-	1	(22.26429615018582)	`(-.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	245	2

Confusion

	Predicted +	Predicted -
+	245	1
-	0	10

Precision

1.0

Recall

0.9959349593495935

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	245	1	0
-	0	1	9

Precision?

0.9959514170040485

Recall?

1.0

Freqs

test

number	freq
0	11
1	245

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

109.0ms	452×	1	valid
26.0ms	60×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-log: 86.0ms (72.8% of total)

ival-log1p: 20.0ms (16.9% of total)

adjust: 9.0ms (7.6% of total)

ival-sub!: 2.0ms (1.7% of total)

ival-add!: 1.0ms (0.8% of total)

preprocess70.0ms (2.1%)

Memory

-28.0MiB live, 21.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	16	26
2	19	26
3	33	26
4	76	26
5	321	24
6	2820	24
7	6223	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.8%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series48.0ms (1.5%)

Memory

27.5MiB live, 73.0MiB allocated; 4ms collecting garbage

Counts

6 → 31

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
22.0ms	N	@	0	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
16.0ms	N	@	-inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
9.0ms	N	@	inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

rewrite204.0ms (6.2%)

Memory

-11.4MiB live, 171.5MiB allocated; 18ms 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: 15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 131 to 289 computations (74.4% saved)

prune6.0ms (0.2%)

Memory

12.1MiB live, 12.1MiB 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
	27.8%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	99.8%	(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
▶	31.1%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	81.3%	#s(approx (- (log (+ N 1)) (log N)) (pow.f64 N #s(literal -1 binary64)))
▶	95.0%	#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)))
▶	95.0%	#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))
▶	90.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	93.6%	#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 222 to 176 computations (20.7% saved)

series15.0ms (0.4%)

Memory

-23.5MiB live, 23.0MiB allocated; 3ms collecting garbage

Counts

34 → 133

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	N	@	-inf	((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) 1 (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 1/3 -1/2 (neg N) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) (- (log (+ N 1)) (log N)) (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) (pow N -2) -2 (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) (+ (* (pow N -3) 1/4) (/ 1/2 N)) (pow N -3) -3)
4.0ms	N	@	0	((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) 1 (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 1/3 -1/2 (neg N) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) (- (log (+ N 1)) (log N)) (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) (pow N -2) -2 (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) (+ (* (pow N -3) 1/4) (/ 1/2 N)) (pow N -3) -3)
3.0ms	N	@	inf	((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) 1 (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 1/3 -1/2 (neg N) (log (/ (- N -1) N)) (/ (- N -1) N) (- N -1) (- (log (+ N 1)) (log N)) (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) (pow N -2) -2 (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) (+ (* (pow N -3) 1/4) (/ 1/2 N)) (pow N -3) -3)

Time

Variable

Point

Expression

5.0ms

-inf

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

4.0ms

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

3.0ms

inf

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

rewrite306.0ms (9.3%)

Memory

30.7MiB live, 270.3MiB allocated; 160ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

167 → 430

Calls

Call 1

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

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

eval64.0ms (1.9%)

Memory: -10.3MiB live, 74.7MiB allocated; 20ms collecting garbage
Compiler: Compiled 14 070 to 2 128 computations (84.9% saved)

prune19.0ms (0.6%)

Memory

29.4MiB live, 29.4MiB allocated; 0ms collecting garbage

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	450	17	467
Fresh	1	2	3
Picked	3	2	5
Done	0	0	0
Total	454	21	475

Accuracy

100.0%

Counts

475 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.8%	(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))
▶	27.8%	(-.f64 (log1p.f64 N) (log.f64 N))
	99.2%	(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	99.7%	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
	95.0%	(log1p.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N)))
▶	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
✓	31.1%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	31.0%	(log.f64 (-.f64 (/.f64 N N) (/.f64 #s(literal -1 binary64) N)))
	90.0%	#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N)))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 #s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N) #s(literal 1/4 binary64)) (.f64 N N))) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
	94.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (neg.f64 N) (.f64 (neg.f64 N) #s(literal -1 binary64))) (*.f64 N N)))
▶	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64) (.f64 N #s(literal -2 binary64))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
	93.6%	#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))
✓	90.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	93.6%	#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))
▶	81.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
▶	93.6%	#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)))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N)))
	90.4%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
	94.6%	#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 (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 837 to 613 computations (26.8% saved)

series30.0ms (0.9%)

Memory

-5.7MiB live, 40.7MiB allocated; 3ms collecting garbage

Counts

37 → 153

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
10.0ms	N	@	0	((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (- (- (/ 1/2 N) 1) (/ 1/3 (* N N))) (- (/ 1/2 N) 1) (/ 1/2 N) 1/2 (/ 1/3 (* N N)) 1/3 (* N N) (neg N) (- (log (+ N 1)) (log N)) (/ (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (neg N)) (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 -1 -1/2 2 (* N -2) -2 (* N 2) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N))
9.0ms	N	@	-inf	((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (- (- (/ 1/2 N) 1) (/ 1/3 (* N N))) (- (/ 1/2 N) 1) (/ 1/2 N) 1/2 (/ 1/3 (* N N)) 1/3 (* N N) (neg N) (- (log (+ N 1)) (log N)) (/ (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (neg N)) (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 -1 -1/2 2 (* N -2) -2 (* N 2) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N))
9.0ms	N	@	inf	((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (- (- (/ 1/2 N) 1) (/ 1/3 (* N N))) (- (/ 1/2 N) 1) (/ 1/2 N) 1/2 (/ 1/3 (* N N)) 1/3 (* N N) (neg N) (- (log (+ N 1)) (log N)) (/ (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (neg N)) (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 -1 -1/2 2 (* N -2) -2 (* N 2) (- (log (+ 1 N)) (log N)) (log (+ 1 N)) (log N))

Time

Variable

Point

Expression

10.0ms

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

9.0ms

-inf

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

9.0ms

inf

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

rewrite199.0ms (6%)

Memory

-26.8MiB live, 157.8MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

190 → 353

Calls

Call 1

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

Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(log.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1 binary64) N)
(exp.f64 (neg.f64 (log.f64 N)))
#s(literal 1 binary64)
N
#s(approx (- (log (+ 1 N)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
(/.f64 (neg.f64 (neg.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 N)))
(/.f64 (neg.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64))) (neg.f64 N))
(/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N)
#s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64))
#s(approx (- (log (+ 1 N)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)))) (neg.f64 N)))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (neg.f64 N))))
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(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)))))
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(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N)))))) (.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 3 binary64))))) (.f64 N (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 N N)))))))
(/.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) #s(literal 1 binary64)) N) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) N))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
(/.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) #s(literal 1 binary64)) (neg.f64 (.f64 N N))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) #s(literal -1/3 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 (.f64 N N))))
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(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64)))) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))))))
(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal -3 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 N N)))) (/.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64))) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 N N)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)))))
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(/.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) N))
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#s(literal 1/2 binary64)
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#s(literal 1/3 binary64)
(*.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)))
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(*.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)))
(*.f64 (fabs.f64 N) (fabs.f64 N))
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eval47.0ms (1.4%)

Memory: 9.6MiB live, 59.9MiB allocated; 11ms collecting garbage
Compiler: Compiled 13 583 to 1 705 computations (87.4% saved)

prune25.0ms (0.7%)

Memory

-12.7MiB live, 33.8MiB allocated; 2ms collecting garbage

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	361	11	372
Fresh	3	11	14
Picked	1	4	5
Done	0	2	2
Total	365	28	393

Accuracy

100.0%

Counts

393 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.8%	(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))
✓	27.8%	(-.f64 (log1p.f64 N) (log.f64 N))
	99.2%	(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
▶	99.7%	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
	95.0%	(log1p.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
✓	31.1%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	31.0%	(log.f64 (-.f64 (/.f64 N N) (/.f64 #s(literal -1 binary64) N)))
	95.1%	#s(approx (- (log (+ N 1)) (log N)) (fma.f64 (/.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) N) #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 N N) #s(literal -1 binary64)) (neg.f64 N))))
▶	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 #s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N) #s(literal 1/4 binary64)) (.f64 N N))) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
	94.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 #s(literal -2 binary64) N (.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) #s(literal -2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) N) (neg.f64 N))))
▶	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.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)) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) N) (.f64 (.f64 #s(literal 2 binary64) N) (.f64 #s(literal -2 binary64) N))) (.f64 (.f64 #s(literal 2 binary64) N) (.f64 #s(literal 2 binary64) N))) (neg.f64 N)))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) N) #s(literal 1/3 binary64)) N #s(literal 1/4 binary64)) (.f64 N N))) #s(literal 2 binary64) (.f64 N #s(literal -2 binary64))) (.f64 N #s(literal 2 binary64))) (neg.f64 N)))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/3 binary64) N))) #s(literal 2 binary64) (.f64 N #s(literal -2 binary64))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
	93.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) #s(literal 2 binary64) (.f64 N #s(literal -2 binary64))) (.f64 N #s(literal 2 binary64))) (neg.f64 N)))
	94.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (/.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (.f64 N N))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (.f64 (neg.f64 N) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) #s(literal -1 binary64) #s(literal 1 binary64)) N) #s(literal -1 binary64) #s(literal 2 binary64)))) (.f64 N #s(literal 2 binary64))) (neg.f64 N)))
	93.6%	#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))
✓	90.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	93.6%	#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))
✓	81.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
✓	93.6%	#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)))
	93.5%	#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)))
	94.8%	#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.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)) #s(literal -2 binary64)) (.f64 (.f64 #s(literal 2 binary64) N) (neg.f64 N))) (/.f64 (.f64 #s(literal -2 binary64) N) (.f64 (.f64 #s(literal 2 binary64) N) (neg.f64 N)))))
▶	95.0%	#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N)))
	94.6%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (* N 2)) (neg N)) (/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))))
▶	90.4%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))

Compiler

Compiled 1 469 to 1 074 computations (26.9% saved)

series16.0ms (0.5%)

Memory

19.8MiB live, 19.8MiB allocated; 0ms collecting garbage

Counts

46 → 180

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

4.0ms

-inf

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

4.0ms

inf

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

4.0ms

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

rewrite219.0ms (6.6%)

Memory

-9.4MiB live, 172.3MiB allocated; 72ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	461	5030
0	521	4698
1	2025	4641
0	8399	4578

Stop Event

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

Counts

226 → 584

Calls

Call 1

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

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

eval85.0ms (2.6%)

Memory: 31.9MiB live, 120.7MiB allocated; 9ms collecting garbage
Compiler: Compiled 27 003 to 3 099 computations (88.5% saved)

prune40.0ms (1.2%)

Memory

7.6MiB live, 60.5MiB allocated; 10ms collecting garbage

Pruning

34 alts after pruning (25 fresh and 9 done)

	Pruned	Kept	Total
New	674	10	684
Fresh	2	15	17
Picked	2	3	5
Done	0	6	6
Total	678	34	712

Accuracy

100.0%

Counts

712 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.8%	(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 N)))
✓	27.8%	(-.f64 (log1p.f64 N) (log.f64 N))
	99.2%	(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	99.7%	(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
	95.0%	(log1p.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N)))
✓	99.8%	(log1p.f64 (/.f64 #s(literal 1 binary64) N))
✓	31.1%	(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
	31.0%	(log.f64 (-.f64 (/.f64 N N) (/.f64 #s(literal -1 binary64) N)))
✓	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 #s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N) #s(literal 1/4 binary64)) (.f64 N N))) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
	94.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 #s(literal -2 binary64) N (.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) #s(literal -2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) N) (neg.f64 N))))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) N) #s(literal 1/3 binary64)) N #s(literal 1/4 binary64)) (.f64 N N))) #s(literal 2 binary64) (.f64 N #s(literal -2 binary64))) (.f64 N #s(literal 2 binary64))) (neg.f64 N)))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 N N)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/3 binary64) N))) #s(literal 2 binary64) (.f64 N #s(literal -2 binary64))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
	93.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))) #s(literal 2 binary64) (.f64 N #s(literal -2 binary64))) (.f64 N #s(literal 2 binary64))) (neg.f64 N)))
	90.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* -1 (/ (- (/ 1/4 N) 1/3) N)) -1/2) -2) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) N) (.f64 (.f64 #s(literal 2 binary64) N) (.f64 #s(literal -2 binary64) N))) (.f64 (.f64 #s(literal 2 binary64) N) (*.f64 #s(literal 2 binary64) N))) (neg.f64 N)))
	94.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (/.f64 (fma.f64 (.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)) #s(literal -2 binary64)) #s(literal 2 binary64)) N (.f64 (.f64 (.f64 #s(literal 2 binary64) N) #s(literal -2 binary64)) N)) (.f64 #s(literal 2 binary64) N)) (*.f64 #s(literal 2 binary64) N)) (neg.f64 N)))
	94.9%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (/.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) N) #s(literal 2/3 binary64)) N #s(literal 1/2 binary64)) (.f64 N N))) (*.f64 N #s(literal 2 binary64))) (neg.f64 N)))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 #s(approx (+ (* (* (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) -1) 2) (* N -2)) (.f64 (neg.f64 N) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) #s(literal -1 binary64) #s(literal 1 binary64)) N) #s(literal -1 binary64) #s(literal 2 binary64)))) (.f64 N #s(literal 2 binary64))) (neg.f64 N)))
	93.6%	#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))
✓	90.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
	93.6%	#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))
✓	81.3%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
✓	93.6%	#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)))
	93.5%	#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)))
	94.8%	#s(approx (- (log (+ N 1)) (log N)) (+.f64 (/.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)) #s(literal -2 binary64)) (.f64 (.f64 #s(literal 2 binary64) N) (neg.f64 N))) (/.f64 (.f64 #s(literal -2 binary64) N) (.f64 (.f64 #s(literal 2 binary64) N) (neg.f64 N)))))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N (.f64 #s(literal -1/2 binary64) N)) (*.f64 N N)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N)))
	90.6%	#s(approx (- (log (+ N 1)) (log N)) (.f64 #s(approx (/ (+ (/ (+ ( (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) 1) -1) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N)))
	93.6%	#s(approx (- (log (+ N 1)) (log N)) (.f64 #s(approx (/ (+ (/ (+ ( (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) 1) -1) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N)))
	95.0%	#s(approx (- (log (+ N 1)) (log N)) (.f64 #s(approx (/ (+ (/ (+ ( (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) 1) -1) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N)))
	90.4%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (/.f64 (-.f64 (.f64 N N) #s(literal 1/4 binary64)) (+.f64 N #s(literal 1/2 binary64))) (.f64 N N))))
	90.1%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 (.f64 N (neg.f64 (.f64 N N))) (.f64 (.f64 N N) #s(literal -1/2 binary64))) (.f64 (.f64 N N) (neg.f64 (*.f64 N N))))))
✓	90.4%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
	81.1%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 #s(approx (- N 1/2) N) (*.f64 N N))))
	90.4%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (-.f64 (/.f64 N (.f64 N N)) (/.f64 #s(literal 1/2 binary64) (.f64 N N)))))

Compiler

Compiled 2 322 to 1 020 computations (56.1% saved)

regimes27.0ms (0.8%)

Memory

-12.2MiB live, 32.5MiB allocated; 6ms collecting garbage

Counts

47 → 1

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	N
9.0ms	(-.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)

regimes16.0ms (0.5%)

Memory

22.9MiB live, 22.9MiB allocated; 0ms collecting garbage

Counts

33 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

8.0ms	N
6.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes19.0ms (0.6%)

Memory

-24.3MiB live, 20.7MiB allocated; 6ms collecting garbage

Counts

28 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

12.0ms	N
5.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Results

Accuracy	Segments	Branch
95.0%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
95.0%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
95.0%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
95.0%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes10.0ms (0.3%)

Memory

-37.4MiB live, 8.0MiB allocated; 6ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
2.0ms	N

Results

Accuracy	Segments	Branch
90.6%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
90.6%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
90.4%	1	`N`
90.4%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.1b remaining (-0.9%)

Threshold costs -0.1b (-0.9%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
81.3%	1	`N`
81.3%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

derivations326.0ms (9.9%)

Memory

24.6MiB live, 173.4MiB allocated; 11ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 185 to 75 computations (59.5% saved)

preprocess70.0ms (2.1%)

Memory: 4.0MiB live, 93.8MiB allocated; 21ms collecting garbage
Compiler: Compiled 458 to 218 computations (52.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.2s (37.1%)

explain183.0ms (5.5%)

preprocess70.0ms (2.1%)

series48.0ms (1.5%)

rewrite204.0ms (6.2%)

eval8.0ms (0.2%)

prune6.0ms (0.2%)

series15.0ms (0.4%)

rewrite306.0ms (9.3%)

eval64.0ms (1.9%)

prune19.0ms (0.6%)

series30.0ms (0.9%)

rewrite199.0ms (6%)

eval47.0ms (1.4%)

prune25.0ms (0.7%)

series16.0ms (0.5%)

rewrite219.0ms (6.6%)

eval85.0ms (2.6%)

prune40.0ms (1.2%)

regimes27.0ms (0.8%)

regimes16.0ms (0.5%)

regimes19.0ms (0.6%)

regimes8.0ms (0.2%)

regimes8.0ms (0.2%)

regimes10.0ms (0.3%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

derivations326.0ms (9.9%)

preprocess70.0ms (2.1%)

end0.0ms (0%)

Profiling