Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample1.5s (46.8%)

Memory

85.4MiB live, 1 039.9MiB allocated; 890ms collecting garbage

Samples

1.1s	7 443×	1	valid
35.0ms	813×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 944.0ms

ival-log1p: 561.0ms (59.4% of total)

ival-log: 207.0ms (21.9% of total)

adjust: 132.0ms (14% of total)

ival-sub!: 43.0ms (4.6% of total)

Bogosity

explain134.0ms (4.3%)

Memory

-27.5MiB live, 166.7MiB allocated; 47ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	245	0
-	3	8

Precision

0.9879032258064516

Recall

1.0

Confusion?

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

Precision?

0.9879032258064516

Recall?

1.0

Freqs

test

number	freq
0	8
1	248

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

63.0ms	462×	1	valid
3.0ms	50×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-log: 17.0ms (37% of total)

ival-log1p: 15.0ms (32.6% of total)

adjust: 10.0ms (21.7% of total)

ival-sub!: 3.0ms (6.5% of total)

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

preprocess70.0ms (2.2%)

Memory

30.6MiB live, 30.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 12 computations (14.3% saved)

series118.0ms (3.8%)

Memory

-36.9MiB live, 38.9MiB allocated; 22ms 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
93.0ms	N	@	0	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
18.0ms	N	@	-inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
6.0ms	N	@	inf	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

rewrite314.0ms (10.1%)

Memory

4.4MiB live, 190.1MiB allocated; 27ms 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))))

eval7.0ms (0.2%)

Memory: 7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 096 to 288 computations (73.7% saved)

prune5.0ms (0.2%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	68	6	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	6	75

Accuracy

99.9%

Counts

75 → 6

Alt Table

Click to see full alt table

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

Compiler

Compiled 218 to 146 computations (33% saved)

series50.0ms (1.6%)

Memory

-35.9MiB live, 10.5MiB allocated; 2ms collecting garbage

Counts

28 → 92

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)) (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))
(/.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 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (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(literal 1/4 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 (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (+ (* 1/3 (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 (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 1))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (/ (+ (* 1/3 (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 (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (+ (* 1/3 (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
43.0ms	N	@	0	((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (- (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)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (+ (* 1/3 (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 1/4)
3.0ms	N	@	-inf	((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (- (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)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (+ (* 1/3 (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 1/4)
2.0ms	N	@	inf	((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (- (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)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (+ (* 1/3 (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 1/4)

Time

Variable

Point

Expression

43.0ms

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

3.0ms

-inf

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

2.0ms

inf

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

rewrite184.0ms (5.9%)

Memory

9.0MiB live, 196.7MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	253	1988
0	279	1837
1	1130	1795
0	8744	1706

Stop Event

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

Counts

120 → 502

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

eval67.0ms (2.2%)

Memory: -0.6MiB live, 140.5MiB allocated; 20ms collecting garbage
Compiler: Compiled 15 304 to 2 406 computations (84.3% saved)

prune11.0ms (0.4%)

Memory

32.5MiB live, 32.5MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	506	9	515
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	510	11	521

Accuracy

100.0%

Counts

521 → 11

Alt Table

Click to see full alt table

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

Compiler

Compiled 291 to 230 computations (21% saved)

series17.0ms (0.6%)

Memory

-6.6MiB live, 40.2MiB allocated; 2ms collecting garbage

Counts

29 → 124

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
(log1p.f64 (pow.f64 N #s(literal -3 binary64)))
(pow.f64 N #s(literal -3 binary64))
N
#s(literal -3 binary64)
(log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))))
(-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))
(pow.f64 N #s(literal -2 binary64))
#s(literal -2 binary64)
(pow.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
#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(literal 1 binary64)
(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)
#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)
(-.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)))))
(log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))
(-.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 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))

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

Calls

3 calls:

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

Time

Variable

Point

Expression

6.0ms

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

5.0ms

-inf

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

5.0ms

inf

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

rewrite249.0ms (8%)

Memory

-5.2MiB live, 177.9MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	428	2578
0	456	2214
1	2352	2190
0	8152	2132

Stop Event

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

Counts

153 → 353

Calls

Call 1

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

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

eval38.0ms (1.2%)

Memory: 31.4MiB live, 75.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 7 730 to 1 446 computations (81.3% saved)

prune12.0ms (0.4%)

Memory

-25.1MiB live, 19.9MiB allocated; 5ms collecting garbage

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	356	1	357
Fresh	0	4	4
Picked	1	4	5
Done	0	2	2
Total	357	11	368

Accuracy

100.0%

Counts

368 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))))
✓	26.0%	(-.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)))))
▶	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)))
✓	99.9%	(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
▶	95.2%	(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
✓	91.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) N))
✓	84.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
✓	91.5%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
▶	94.0%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))))

Compiler

Compiled 246 to 195 computations (20.7% saved)

series118.0ms (3.8%)

Memory

8.0MiB live, 156.4MiB allocated; 23ms collecting garbage

Counts

35 → 155

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))))
(log1p.f64 (pow.f64 N #s(literal -3 binary64)))
(pow.f64 N #s(literal -3 binary64))
N
#s(literal -3 binary64)
(log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))
#s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))
(/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)
(expm1.f64 (neg.f64 (log.f64 N)))
(neg.f64 (log.f64 N))
(log.f64 N)
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
(exp.f64 (neg.f64 (log.f64 N)))
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 N #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) N)
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64))
(fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64))
#s(literal -1/4 binary64)

Outputs
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) #s(hole binary64 (- (* -3 (log N)) (* -2 (log N)))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) #s(hole binary64 (- (+ N (* -3 (log N))) (* -2 (log N)))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) #s(hole binary64 (- (+ (* -3 (log N)) (* N (+ 1 (* -1/2 N)))) (* -2 (log N)))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) #s(hole binary64 (- (+ (* -3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* -2 (log N)))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (* -3 (log N))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (+ (* -3 (log N)) (pow N 3))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3)))))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2)))))))
#s(approx (pow N -3) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx N #s(hole binary64 N))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) #s(hole binary64 (* -2 (log N))))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) #s(hole binary64 (+ (* -2 (log N)) (* -1 N))))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) #s(hole binary64 (+ (* -2 (log N)) (* N (- (* 1/2 N) 1)))))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) #s(hole binary64 (+ (* -2 (log N)) (* N (- (* N (+ 1/2 (* 2/3 N))) 1)))))
#s(approx (- (pow N -2) (pow N -1)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (- (pow N -2) (pow N -1)) #s(hole binary64 (/ (+ 1 (* -1 N)) (pow N 2))))
#s(approx (/ (- (exp (neg (log N))) 1) N) #s(hole binary64 (/ (- (exp (neg (log N))) 1) N)))
#s(approx (- (exp (neg (log N))) 1) #s(hole binary64 (- (exp (neg (log N))) 1)))
#s(approx (neg (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (log (+ 1 (exp (neg (log N))))) #s(hole binary64 (log (+ 1 (exp (neg (log N)))))))
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (log N)))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (pow (pow N -1/2) 2) #s(hole binary64 (/ 1 N)))
#s(approx (pow N -1/2) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* -1/2 N))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* N (- N 1/2)))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (pow N 3) #s(hole binary64 (pow N 3)))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3)) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (+ (* (+ (* -1/2 N) 1/3) N) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* (+ (* -1/2 N) 1/3) N) -1/4) #s(hole binary64 (- (* 1/3 N) 1/4)))
#s(approx (+ (* (+ (* -1/2 N) 1/3) N) -1/4) #s(hole binary64 (- (* N (+ 1/3 (* -1/2 N))) 1/4)))
#s(approx (+ (* -1/2 N) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* -1/2 N) 1/3) #s(hole binary64 (+ 1/3 (* -1/2 N))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3))))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) #s(hole binary64 (/ -1 N)))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) #s(hole binary64 (/ (- (* 1/2 (/ 1 N)) 1) N)))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) #s(hole binary64 (/ (- (+ (/ 2/3 (pow N 2)) (* 1/2 (/ 1 N))) 1) N)))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) #s(hole binary64 (/ (- (+ (/ 2/3 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) 1) N)))
#s(approx (- (pow N -2) (pow N -1)) #s(hole binary64 (/ -1 N)))
#s(approx (- (pow N -2) (pow N -1)) #s(hole binary64 (/ (- (/ 1 N) 1) N)))
#s(approx (/ (- (exp (neg (log N))) 1) N) #s(hole binary64 (/ (- (exp (neg (* -1 (log (/ 1 N))))) 1) N)))
#s(approx (- (exp (neg (log N))) 1) #s(hole binary64 (- (exp (neg (* -1 (log (/ 1 N))))) 1)))
#s(approx (neg (log N)) #s(hole binary64 (log (/ 1 N))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ 1 (exp (neg (log N))))) #s(hole binary64 (log (+ 1 (exp (neg (* -1 (log (/ 1 N)))))))))
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (* -1 (log (/ 1 N)))))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (pow (pow N -1/2) 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 (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (- N 1/2) #s(hole binary64 N))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) 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) 1/3) N) -1/4) (pow N 3))) #s(hole binary64 1))
#s(approx (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3)) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3)) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3)) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)))
#s(approx (+ (* (+ (* -1/2 N) 1/3) N) -1/4) #s(hole binary64 (* -1/2 (pow N 2))))
#s(approx (+ (* (+ (* -1/2 N) 1/3) N) -1/4) #s(hole binary64 (* (pow N 2) (- (* 1/3 (/ 1 N)) 1/2))))
#s(approx (+ (* (+ (* -1/2 N) 1/3) N) -1/4) #s(hole binary64 (* (pow N 2) (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))))))
#s(approx (+ (* -1/2 N) 1/3) #s(hole binary64 (* -1/2 N)))
#s(approx (+ (* -1/2 N) 1/3) #s(hole binary64 (* N (- (* 1/3 (/ 1 N)) 1/2))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3)))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 2/3 (/ 1 N))) N))) N))))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/4 (pow N 2)) (* 2/3 (/ 1 N)))) N))) N))))
#s(approx (- (pow N -2) (pow N -1)) #s(hole binary64 (* -1 (/ (- 1 (/ 1 N)) N))))
#s(approx (/ (- (exp (neg (log N))) 1) N) #s(hole binary64 (/ (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) N)))
#s(approx (- (exp (neg (log N))) 1) #s(hole binary64 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)))
#s(approx (neg (log N)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (+ 1 (exp (neg (log N))))) #s(hole binary64 (log (+ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 N))))))))))
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (+ (log -1) (* -1 (log (/ -1 N))))))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (pow (pow N -1/2) 2) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (pow N -1/2) #s(hole binary64 (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))))
#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 (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) 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) 1/3) N) -1/4) (pow N 3))) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))))
#s(approx (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3)) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3)) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))))
#s(approx (+ (* (+ (* -1/2 N) 1/3) N) -1/4) #s(hole binary64 (* (pow N 2) (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2))))
#s(approx (+ (* -1/2 N) 1/3) #s(hole binary64 (* -1 (* N (- 1/2 (* 1/3 (/ 1 N)))))))

Calls

3 calls:

Time	Variable		Point	Expression
49.0ms	N	@	inf	((- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) (log (+ 1 (pow N -3))) (pow N -3) N -3 (log (+ 1 (- (pow N -2) (pow N -1)))) (- (pow N -2) (pow N -1)) (/ (- (exp (neg (log N))) 1) N) (- (exp (neg (log N))) 1) (neg (log N)) (log N) (log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (log (+ 1 (pow (pow N -1/2) 2))) (pow (pow N -1/2) 2) (pow N -1/2) -1/2 2 (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) (+ (* (- N 1/2) N) 1/3) (- N 1/2) 1/2 1/3 (pow N 3) 3 (- (log (+ N 1)) (log N)) (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3)) (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (+ (* -1/2 N) 1/3) -1/4)
33.0ms	N	@	-inf	((- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) (log (+ 1 (pow N -3))) (pow N -3) N -3 (log (+ 1 (- (pow N -2) (pow N -1)))) (- (pow N -2) (pow N -1)) (/ (- (exp (neg (log N))) 1) N) (- (exp (neg (log N))) 1) (neg (log N)) (log N) (log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (log (+ 1 (pow (pow N -1/2) 2))) (pow (pow N -1/2) 2) (pow N -1/2) -1/2 2 (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) (+ (* (- N 1/2) N) 1/3) (- N 1/2) 1/2 1/3 (pow N 3) 3 (- (log (+ N 1)) (log N)) (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3)) (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (+ (* -1/2 N) 1/3) -1/4)
33.0ms	N	@	0	((- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) (log (+ 1 (pow N -3))) (pow N -3) N -3 (log (+ 1 (- (pow N -2) (pow N -1)))) (- (pow N -2) (pow N -1)) (/ (- (exp (neg (log N))) 1) N) (- (exp (neg (log N))) 1) (neg (log N)) (log N) (log (+ 1 (exp (neg (log N))))) (exp (neg (log N))) (log (+ 1 (pow (pow N -1/2) 2))) (pow (pow N -1/2) 2) (pow N -1/2) -1/2 2 (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) (+ (* (- N 1/2) N) 1/3) (- N 1/2) 1/2 1/3 (pow N 3) 3 (- (log (+ N 1)) (log N)) (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3)) (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (+ (* -1/2 N) 1/3) -1/4)

Time

Variable

Point

Expression

49.0ms

inf

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

33.0ms

-inf

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

33.0ms

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

rewrite104.0ms (3.4%)

Memory

8.7MiB live, 53.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	486	3372
0	522	3021
0	2451	2926

Stop Event

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

Counts

190 → 289

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))))
(log1p.f64 (pow.f64 N #s(literal -3 binary64)))
(pow.f64 N #s(literal -3 binary64))
N
#s(literal -3 binary64)
(log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))
#s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))
(/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)
(expm1.f64 (neg.f64 (log.f64 N)))
(neg.f64 (log.f64 N))
(log.f64 N)
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
(exp.f64 (neg.f64 (log.f64 N)))
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 N #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) N)
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64))
(fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) #s(hole binary64 (- (* -3 (log N)) (* -2 (log N)))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) #s(hole binary64 (- (+ N (* -3 (log N))) (* -2 (log N)))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) #s(hole binary64 (- (+ (* -3 (log N)) (* N (+ 1 (* -1/2 N)))) (* -2 (log N)))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) #s(hole binary64 (- (+ (* -3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* -2 (log N)))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (* -3 (log N))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (+ (* -3 (log N)) (pow N 3))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3)))))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2)))))))
#s(approx (pow N -3) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx N #s(hole binary64 N))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) #s(hole binary64 (* -2 (log N))))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) #s(hole binary64 (+ (* -2 (log N)) (* -1 N))))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) #s(hole binary64 (+ (* -2 (log N)) (* N (- (* 1/2 N) 1)))))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) #s(hole binary64 (+ (* -2 (log N)) (* N (- (* N (+ 1/2 (* 2/3 N))) 1)))))
#s(approx (- (pow N -2) (pow N -1)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (- (pow N -2) (pow N -1)) #s(hole binary64 (/ (+ 1 (* -1 N)) (pow N 2))))
#s(approx (/ (- (exp (neg (log N))) 1) N) #s(hole binary64 (/ (- (exp (neg (log N))) 1) N)))
#s(approx (- (exp (neg (log N))) 1) #s(hole binary64 (- (exp (neg (log N))) 1)))
#s(approx (neg (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (log (+ 1 (exp (neg (log N))))) #s(hole binary64 (log (+ 1 (exp (neg (log N)))))))
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (log N)))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (pow (pow N -1/2) 2) #s(hole binary64 (/ 1 N)))
#s(approx (pow N -1/2) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* -1/2 N))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* N (- N 1/2)))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (pow N 3) #s(hole binary64 (pow N 3)))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3)) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (+ (* (+ (* -1/2 N) 1/3) N) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* (+ (* -1/2 N) 1/3) N) -1/4) #s(hole binary64 (- (* 1/3 N) 1/4)))
#s(approx (+ (* (+ (* -1/2 N) 1/3) N) -1/4) #s(hole binary64 (- (* N (+ 1/3 (* -1/2 N))) 1/4)))
#s(approx (+ (* -1/2 N) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* -1/2 N) 1/3) #s(hole binary64 (+ 1/3 (* -1/2 N))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3))))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) #s(hole binary64 (/ -1 N)))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) #s(hole binary64 (/ (- (* 1/2 (/ 1 N)) 1) N)))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) #s(hole binary64 (/ (- (+ (/ 2/3 (pow N 2)) (* 1/2 (/ 1 N))) 1) N)))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) #s(hole binary64 (/ (- (+ (/ 2/3 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) 1) N)))
#s(approx (- (pow N -2) (pow N -1)) #s(hole binary64 (/ -1 N)))
#s(approx (- (pow N -2) (pow N -1)) #s(hole binary64 (/ (- (/ 1 N) 1) N)))
#s(approx (/ (- (exp (neg (log N))) 1) N) #s(hole binary64 (/ (- (exp (neg (* -1 (log (/ 1 N))))) 1) N)))
#s(approx (- (exp (neg (log N))) 1) #s(hole binary64 (- (exp (neg (* -1 (log (/ 1 N))))) 1)))
#s(approx (neg (log N)) #s(hole binary64 (log (/ 1 N))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ 1 (exp (neg (log N))))) #s(hole binary64 (log (+ 1 (exp (neg (* -1 (log (/ 1 N)))))))))
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (* -1 (log (/ 1 N)))))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (pow (pow N -1/2) 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 (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (- N 1/2) #s(hole binary64 N))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) 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) 1/3) N) -1/4) (pow N 3))) #s(hole binary64 1))
#s(approx (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3)) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3)) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3)) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)))
#s(approx (+ (* (+ (* -1/2 N) 1/3) N) -1/4) #s(hole binary64 (* -1/2 (pow N 2))))
#s(approx (+ (* (+ (* -1/2 N) 1/3) N) -1/4) #s(hole binary64 (* (pow N 2) (- (* 1/3 (/ 1 N)) 1/2))))
#s(approx (+ (* (+ (* -1/2 N) 1/3) N) -1/4) #s(hole binary64 (* (pow N 2) (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))))))
#s(approx (+ (* -1/2 N) 1/3) #s(hole binary64 (* -1/2 N)))
#s(approx (+ (* -1/2 N) 1/3) #s(hole binary64 (* N (- (* 1/3 (/ 1 N)) 1/2))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ 1 (pow N -3))) (log (+ 1 (- (pow N -2) (pow N -1))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3)))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))))
#s(approx (log (+ 1 (pow N -3))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 2/3 (/ 1 N))) N))) N))))
#s(approx (log (+ 1 (- (pow N -2) (pow N -1)))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/4 (pow N 2)) (* 2/3 (/ 1 N)))) N))) N))))
#s(approx (- (pow N -2) (pow N -1)) #s(hole binary64 (* -1 (/ (- 1 (/ 1 N)) N))))
#s(approx (/ (- (exp (neg (log N))) 1) N) #s(hole binary64 (/ (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) N)))
#s(approx (- (exp (neg (log N))) 1) #s(hole binary64 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)))
#s(approx (neg (log N)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (+ 1 (exp (neg (log N))))) #s(hole binary64 (log (+ 1 (exp (neg (+ (log -1) (* -1 (log (/ -1 N))))))))))
#s(approx (exp (neg (log N))) #s(hole binary64 (exp (neg (+ (log -1) (* -1 (log (/ -1 N))))))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (pow (pow N -1/2) 2) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (pow N -1/2) #s(hole binary64 (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))))
#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 (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) 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) 1/3) N) -1/4) (pow N 3))) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))))
#s(approx (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3)) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3)) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))))
#s(approx (+ (* (+ (* -1/2 N) 1/3) N) -1/4) #s(hole binary64 (* (pow N 2) (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2))))
#s(approx (+ (* -1/2 N) 1/3) #s(hole binary64 (* -1 (* N (- 1/2 (* 1/3 (/ 1 N)))))))

Outputs
(/.f64 (-.f64 (.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (.f64 (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))))) (+.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (fma.f64 (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))) (*.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))))
(log.f64 (/.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))))
(log1p.f64 (pow.f64 N #s(literal -3 binary64)))
(log.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 N #s(literal -3/2 binary64)) (pow.f64 N #s(literal -3/2 binary64)))
(pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 N #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 N #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 N) #s(literal -3 binary64)))
N
#s(literal -3 binary64)
(log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))
(log.f64 (+.f64 #s(literal 1 binary64) #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))))
#s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))
(/.f64 (neg.f64 (expm1.f64 (neg.f64 (log.f64 N)))) (neg.f64 N))
(/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)
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#s(approx (+ (* (- N 1/2) N) 1/3) (.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 N N)))
#s(approx (- N 1/2) (*.f64 (neg.f64 N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (/ (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) 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 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) N) (neg.f64 (/.f64 (-.f64 (neg.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(approx (+ 1 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) (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 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3))) (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 (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))
#s(approx (/ (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (pow N 3)) (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 (+ (* (+ (* -1/2 N) 1/3) N) -1/4) (.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)) (.f64 N N)))
#s(approx (+ (* -1/2 N) 1/3) (*.f64 (neg.f64 N) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N))))

eval41.0ms (1.3%)

Memory: -5.1MiB live, 45.2MiB allocated; 10ms collecting garbage
Compiler: Compiled 7 347 to 1 211 computations (83.5% saved)

prune16.0ms (0.5%)

Memory

-23.5MiB live, 21.2MiB allocated; 5ms collecting garbage

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	263	1	264
Fresh	0	0	0
Picked	0	5	5
Done	0	6	6
Total	263	12	275

Accuracy

100.0%

Counts

275 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))))
✓	26.0%	(-.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)))))
✓	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)))
	99.0%	(log1p.f64 (pow.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(literal 2 binary64)))
✓	99.9%	(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
✓	95.2%	(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
✓	91.8%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
✓	95.6%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) N))
✓	84.7%	#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
✓	91.5%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
✓	94.0%	#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))))

Compiler

Compiled 456 to 251 computations (45% saved)

regimes9.0ms (0.3%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Counts

18 → 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)) (pow.f64 N #s(literal -1 binary64)))
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 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 (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(log1p.f64 (pow.f64 #s(approx (pow N -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(literal 2 binary64)))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 #s(approx (- (pow N -2) (pow N -1)) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))))
(-.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)) (pow.f64 N #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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)) (pow.f64 N #s(literal -1 binary64)))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

derivations75.0ms (2.4%)

Memory

-22.1MiB live, 69.1MiB allocated; 7ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 21 to 16 computations (23.8% saved)

preprocess14.0ms (0.5%)

Memory: 30.9MiB live, 30.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 56 to 44 computations (21.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (46.8%)

explain134.0ms (4.3%)

preprocess70.0ms (2.2%)

series118.0ms (3.8%)

rewrite314.0ms (10.1%)

eval7.0ms (0.2%)

prune5.0ms (0.2%)

series50.0ms (1.6%)

rewrite184.0ms (5.9%)

eval67.0ms (2.2%)

prune11.0ms (0.4%)

series17.0ms (0.6%)

rewrite249.0ms (8%)

eval38.0ms (1.2%)

prune12.0ms (0.4%)

series118.0ms (3.8%)

rewrite104.0ms (3.4%)

eval41.0ms (1.3%)

prune16.0ms (0.5%)

regimes9.0ms (0.3%)

regimes2.0ms (0.1%)

derivations75.0ms (2.4%)

preprocess14.0ms (0.5%)

end0.0ms (0%)

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