Metrics for 2log (problem 3.3.6)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.2s (26.8%)

Memory

65.9MiB live, 1 025.5MiB allocated; 197ms collecting garbage

Samples

921.0ms	7 505×	1	valid
30.0ms	751×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 689.0ms

ival-log1p: 293.0ms (42.5% of total)

ival-log: 213.0ms (30.9% of total)

adjust: 140.0ms (20.3% of total)

ival-sub!: 43.0ms (6.2% of total)

Bogosity

explain111.0ms (2.5%)

Memory

13.1MiB live, 106.3MiB allocated; 6ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
250	-	2	(25.59060060360125)	`(-.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	2

Confusion

	Predicted +	Predicted -
+	248	2
-	0	6

Precision

1.0

Recall

0.992

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	248	2	0
-	0	0	6

Precision?

1.0

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

57.0ms	476×	1	valid
2.0ms	36×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-log1p: 15.0ms (35.3% of total)

ival-log: 14.0ms (33% of total)

adjust: 9.0ms (21.2% of total)

ival-sub!: 2.0ms (4.7% of total)

ival-add!: 1.0ms (2.4% of total)

preprocess68.0ms (1.6%)

Memory

1.7MiB live, 48.4MiB allocated; 2ms 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
▶	22.4%	(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series56.0ms (1.3%)

Memory

-30.6MiB live, 64.5MiB allocated; 10ms 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
29.0ms	N	@	0	((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
21.0ms	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))

rewrite257.0ms (5.9%)

Memory

1.5MiB live, 167.3MiB allocated; 97ms 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 (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 N #s(literal -1 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (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) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (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) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (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) (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (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 (neg.f64 N) (neg.f64 N) #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))
(-.f64 (log1p.f64 (.f64 (neg.f64 N) N)) (log1p.f64 (.f64 (neg.f64 N) #s(literal 1 binary64))))
(-.f64 (log1p.f64 (.f64 (.f64 N N) N)) (log.f64 (fma.f64 (fabs.f64 N) (fabs.f64 N) (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log1p.f64 (.f64 (.f64 N N) N)) (log1p.f64 (-.f64 (*.f64 N N) N)))
(log.f64 (-.f64 N #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N)
(*.f64 N (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 N N) #s(literal -1 binary64))) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 N N) #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N) (fma.f64 (pow.f64 N #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 N N) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (.f64 N (fma.f64 (pow.f64 (.f64 N N) #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 N #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 N) (neg.f64 N) #s(literal -1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 (fabs.f64 N) (fabs.f64 N) (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 (.f64 N N) N) #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 N) (neg.f64 N) #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (fabs.f64 N) (fabs.f64 N) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (+.f64 (-.f64 (.f64 N N) N) #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 (pow.f64 (neg.f64 N) #s(literal -1 binary64)) N))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 (.f64 (.f64 N N) N) (fma.f64 (fabs.f64 N) (fabs.f64 N) (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 N) (fabs.f64 N) (-.f64 #s(literal 1 binary64) N))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (.f64 N N) N) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 N N) N) (+.f64 (-.f64 (.f64 N N) N) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(.f64 (.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (log.f64 N)))
(*.f64 (log.f64 N) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 N))
(neg.f64 (.f64 (.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal 1 binary64)))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (log.f64 N))))
(neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)))
(log.f64 N)
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (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 (.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64) #s(literal -1/2 binary64)) N) #s(literal 1 binary64) #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (log (+ N 1)) N)
#s(approx (log (+ N 1)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64)) N))
#s(approx (log (+ N 1)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64) #s(literal -1/2 binary64)) N) #s(literal 1 binary64) #s(literal 1 binary64)) N))
#s(approx (log (+ N 1)) (.f64 (fma.f64 (.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) #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 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) N) (/.f64 (.f64 (pow.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
#s(approx (log (+ N 1)) (log.f64 N))
#s(approx (log (+ N 1)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))
#s(approx (log (+ N 1)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) N)))
#s(approx (log (+ N 1)) (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) 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 (fma.f64 (.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
#s(approx (log (+ N 1)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ N 1)) (fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (log (+ N 1)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (log (+ N 1)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 (.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (log N) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))

eval12.0ms (0.3%)

Memory: -36.0MiB live, 15.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 1 301 to 299 computations (77% saved)

prune6.0ms (0.1%)

Memory

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

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	5	80

Accuracy

99.9%

Counts

80 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
▶	22.4%	(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))))
▶	99.8%	(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
▶	96.8%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) N) (/.f64 (.f64 (pow.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
▶	96.9%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))

Compiler

Compiled 240 to 142 computations (40.8% saved)

series57.0ms (1.3%)

Memory

25.6MiB live, 71.6MiB allocated; 3ms collecting garbage

Counts

42 → 229

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
20.0ms	N	@	-inf	((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (* (/ (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) N) -1) (/ (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) N) (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) (+ (* (* 1/4 (pow N -1)) 1) -1/3) (* 1/4 (pow N -1)) 1/4 1 -1/3 -1/2 (- (log (+ N 1)) (log N)) (- (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (/ (* (pow (* (* N N) N) -1) 1/4) N)) (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) (/ 1/3 (* N N)) 1/3 (* N N) (+ (* (pow N -1) -1/2) 1) (/ (* (pow (* (* N N) N) -1) 1/4) N) (* (pow (* (* N N) N) -1) 1/4) (pow (* (* N N) N) -1) (* (* N N) N) (- (/ (pow (log (+ 1 N)) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N))))) (/ (pow (log (+ 1 N)) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) (log (+ 1 N)) 2 (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (* -1 (log N)) (log N) (/ (pow (log N) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (pow (log N) 2) (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))))
18.0ms	N	@	inf	((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (* (/ (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) N) -1) (/ (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) N) (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) (+ (* (* 1/4 (pow N -1)) 1) -1/3) (* 1/4 (pow N -1)) 1/4 1 -1/3 -1/2 (- (log (+ N 1)) (log N)) (- (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (/ (* (pow (* (* N N) N) -1) 1/4) N)) (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) (/ 1/3 (* N N)) 1/3 (* N N) (+ (* (pow N -1) -1/2) 1) (/ (* (pow (* (* N N) N) -1) 1/4) N) (* (pow (* (* N N) N) -1) 1/4) (pow (* (* N N) N) -1) (* (* N N) N) (- (/ (pow (log (+ 1 N)) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N))))) (/ (pow (log (+ 1 N)) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) (log (+ 1 N)) 2 (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (* -1 (log N)) (log N) (/ (pow (log N) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (pow (log N) 2) (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))))
13.0ms	N	@	0	((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (* (/ (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) N) -1) (/ (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) N) (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) (+ (* (* 1/4 (pow N -1)) 1) -1/3) (* 1/4 (pow N -1)) 1/4 1 -1/3 -1/2 (- (log (+ N 1)) (log N)) (- (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (/ (* (pow (* (* N N) N) -1) 1/4) N)) (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) (/ 1/3 (* N N)) 1/3 (* N N) (+ (* (pow N -1) -1/2) 1) (/ (* (pow (* (* N N) N) -1) 1/4) N) (* (pow (* (* N N) N) -1) 1/4) (pow (* (* N N) N) -1) (* (* N N) N) (- (/ (pow (log (+ 1 N)) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N))))) (/ (pow (log (+ 1 N)) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) (log (+ 1 N)) 2 (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (* -1 (log N)) (log N) (/ (pow (log N) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (pow (log N) 2) (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))))

Time

Variable

Point

Expression

20.0ms

-inf

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

18.0ms

inf

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

13.0ms

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

rewrite225.0ms (5.2%)

Memory

-28.1MiB live, 202.9MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	937	10348
0	1012	8541
1	6003	8488
0	8320	8072

Stop Event

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

Counts

271 → 428

Calls

Call 1

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

eval95.0ms (2.2%)

Memory: 39.9MiB live, 139.3MiB allocated; 13ms collecting garbage
Compiler: Compiled 31 348 to 2 921 computations (90.7% saved)

prune896.0ms (20.5%)

Memory

9.7MiB live, 856.5MiB allocated; 67ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	742	5	747
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	746	6	752

Accuracy

100.0%

Counts

752 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) N))))
▶	99.8%	(-.f64 (log1p.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (log1p.f64 (-.f64 (pow.f64 (.f64 N N) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
▶	99.1%	(log1p.f64 (pow.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
▶	96.8%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 (+.f64 (/.f64 (/.f64 (.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/3 binary64)) N) N) (/.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) N)) (/.f64 (.f64 (pow.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
▶	96.4%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 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 (.f64 (pow.f64 (.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
✓	96.9%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))

Compiler

Compiled 306 to 214 computations (30.1% saved)

series55.0ms (1.3%)

Memory

-18.2MiB live, 79.4MiB allocated; 11ms collecting garbage

Counts

51 → 232

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
20.0ms	N	@	-inf	((- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) (log (+ 1 (pow (pow N 3) -1))) (pow (pow N 3) -1) (pow N 3) N 3 -1 (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1))))) (- (pow (* N N) -1) (* 1 (pow N -1))) (pow (* N N) -1) (* N N) (* 1 (pow N -1)) 1 (pow N -1) (- (log (+ N 1)) (log N)) (- (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (/ (* (pow (* (* N N) N) -1) 1/4) N)) (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 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 N) N) -1) 1/4) N) (* (pow (* (* N N) N) -1) 1/4) (pow (* (* N N) N) -1) (* (* N N) N) 1/4 (- (log (+ N 1)) (log N)) (- (+ (/ (/ (* (pow N -1) 1/3) N) N) (/ (+ (* (pow N -1) -1/2) 1) N)) (/ (* (pow (* (* N N) N) -1) 1/4) N)) (+ (/ (/ (* (pow N -1) 1/3) N) N) (/ (+ (* (pow N -1) -1/2) 1) N)) (/ (/ (* (pow N -1) 1/3) N) N) (/ (* (pow N -1) 1/3) N) (* (pow N -1) 1/3) (/ (+ (* (pow N -1) -1/2) 1) N) (+ (* (pow N -1) -1/2) 1) -1/2 (log (+ 1 (pow (pow (pow N -1) 1/2) 2))) (pow (pow (pow N -1) 1/2) 2) (pow (pow N -1) 1/2) 2 (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (log (* (pow (pow N -1) -1) (+ 1 N)))) (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (* -1 (log N)) (log N) (log (+ 1 N)) (log (+ 1 (pow N -1))) (log (* (pow (pow N -1) -1) (+ 1 N))) (* (pow (pow N -1) -1) (+ 1 N)) (pow (pow N -1) -1) (+ 1 N))
17.0ms	N	@	0	((- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) (log (+ 1 (pow (pow N 3) -1))) (pow (pow N 3) -1) (pow N 3) N 3 -1 (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1))))) (- (pow (* N N) -1) (* 1 (pow N -1))) (pow (* N N) -1) (* N N) (* 1 (pow N -1)) 1 (pow N -1) (- (log (+ N 1)) (log N)) (- (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (/ (* (pow (* (* N N) N) -1) 1/4) N)) (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 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 N) N) -1) 1/4) N) (* (pow (* (* N N) N) -1) 1/4) (pow (* (* N N) N) -1) (* (* N N) N) 1/4 (- (log (+ N 1)) (log N)) (- (+ (/ (/ (* (pow N -1) 1/3) N) N) (/ (+ (* (pow N -1) -1/2) 1) N)) (/ (* (pow (* (* N N) N) -1) 1/4) N)) (+ (/ (/ (* (pow N -1) 1/3) N) N) (/ (+ (* (pow N -1) -1/2) 1) N)) (/ (/ (* (pow N -1) 1/3) N) N) (/ (* (pow N -1) 1/3) N) (* (pow N -1) 1/3) (/ (+ (* (pow N -1) -1/2) 1) N) (+ (* (pow N -1) -1/2) 1) -1/2 (log (+ 1 (pow (pow (pow N -1) 1/2) 2))) (pow (pow (pow N -1) 1/2) 2) (pow (pow N -1) 1/2) 2 (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (log (* (pow (pow N -1) -1) (+ 1 N)))) (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (* -1 (log N)) (log N) (log (+ 1 N)) (log (+ 1 (pow N -1))) (log (* (pow (pow N -1) -1) (+ 1 N))) (* (pow (pow N -1) -1) (+ 1 N)) (pow (pow N -1) -1) (+ 1 N))
13.0ms	N	@	inf	((- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) (log (+ 1 (pow (pow N 3) -1))) (pow (pow N 3) -1) (pow N 3) N 3 -1 (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1))))) (- (pow (* N N) -1) (* 1 (pow N -1))) (pow (* N N) -1) (* N N) (* 1 (pow N -1)) 1 (pow N -1) (- (log (+ N 1)) (log N)) (- (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (/ (* (pow (* (* N N) N) -1) 1/4) N)) (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 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 N) N) -1) 1/4) N) (* (pow (* (* N N) N) -1) 1/4) (pow (* (* N N) N) -1) (* (* N N) N) 1/4 (- (log (+ N 1)) (log N)) (- (+ (/ (/ (* (pow N -1) 1/3) N) N) (/ (+ (* (pow N -1) -1/2) 1) N)) (/ (* (pow (* (* N N) N) -1) 1/4) N)) (+ (/ (/ (* (pow N -1) 1/3) N) N) (/ (+ (* (pow N -1) -1/2) 1) N)) (/ (/ (* (pow N -1) 1/3) N) N) (/ (* (pow N -1) 1/3) N) (* (pow N -1) 1/3) (/ (+ (* (pow N -1) -1/2) 1) N) (+ (* (pow N -1) -1/2) 1) -1/2 (log (+ 1 (pow (pow (pow N -1) 1/2) 2))) (pow (pow (pow N -1) 1/2) 2) (pow (pow N -1) 1/2) 2 (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (log (* (pow (pow N -1) -1) (+ 1 N)))) (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (* -1 (log N)) (log N) (log (+ 1 N)) (log (+ 1 (pow N -1))) (log (* (pow (pow N -1) -1) (+ 1 N))) (* (pow (pow N -1) -1) (+ 1 N)) (pow (pow N -1) -1) (+ 1 N))

Time

Variable

Point

Expression

20.0ms

-inf

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

17.0ms

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

13.0ms

inf

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

rewrite188.0ms (4.3%)

Memory

1.2MiB live, 149.2MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	805	7010
0	886	5586
0	4719	5423

Stop Event

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

Counts

283 → 468

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (log1p.f64 (-.f64 (pow.f64 (.f64 N N) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(log1p.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 N #s(literal 3 binary64))
N
#s(literal 3 binary64)
#s(literal -1 binary64)
(log1p.f64 (-.f64 (pow.f64 (.f64 N N) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
(-.f64 (pow.f64 (.f64 N N) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(pow.f64 (*.f64 N N) #s(literal -1 binary64))
(*.f64 N N)
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 N #s(literal -1 binary64))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 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 (.f64 (pow.f64 (.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
(-.f64 #s(approx (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 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 (.f64 (pow.f64 (.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N))
#s(approx (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 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)
(/.f64 (.f64 (pow.f64 (.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)
(.f64 (pow.f64 (.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64))
(.f64 (.f64 N N) N)
#s(literal 1/4 binary64)
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (+.f64 (/.f64 (/.f64 (.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/3 binary64)) N) N) (/.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) N)) (/.f64 (.f64 (pow.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
(-.f64 (+.f64 (/.f64 (/.f64 (.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/3 binary64)) N) N) (/.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) N)) (/.f64 (.f64 (pow.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N))
(+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/3 binary64)) N) N) (/.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) N))
(/.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/3 binary64)) N) N)
(/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/3 binary64)) N)
(*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/3 binary64))
(/.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) N)
(fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(log1p.f64 (pow.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))
#s(literal 2 binary64)
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) N))))
(.f64 (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 N #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))
(*.f64 #s(literal -1 binary64) (log.f64 N))
(log.f64 N)
(log1p.f64 N)
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(log.f64 (*.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) N))
(pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) N)
#s(approx (- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) #s(hole binary64 (- (* -3 (log N)) (* -2 (log N)))))
#s(approx (- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) #s(hole binary64 (- (+ N (* -3 (log N))) (* -2 (log N)))))
#s(approx (- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) #s(hole binary64 (- (+ (* -3 (log N)) (* N (+ 1 (* -1/2 N)))) (* -2 (log N)))))
#s(approx (- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) #s(hole binary64 (- (+ (* -3 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2))))) (* -2 (log N)))))
#s(approx (log (+ 1 (pow (pow N 3) -1))) #s(hole binary64 (* -3 (log N))))
#s(approx (log (+ 1 (pow (pow N 3) -1))) #s(hole binary64 (+ (* -3 (log N)) (pow N 3))))
#s(approx (log (+ 1 (pow (pow N 3) -1))) #s(hole binary64 (+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3)))))))
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#s(approx (* -1 (log N)) #s(hole binary64 (log (/ 1 N))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ 1 N)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (log (+ 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 (* (pow (pow N -1) -1) (+ 1 N))) #s(hole binary64 (* -2 (log (/ 1 N)))))
#s(approx (log (* (pow (pow N -1) -1) (+ 1 N))) #s(hole binary64 (+ (* -2 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (* (pow (pow N -1) -1) (+ 1 N))) #s(hole binary64 (- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (* (pow (pow N -1) -1) (+ 1 N))) #s(hole binary64 (- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (* (pow (pow N -1) -1) (+ 1 N)) #s(hole binary64 (pow N 2)))
#s(approx (* (pow (pow N -1) -1) (+ 1 N)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ 1 N) #s(hole binary64 N))
#s(approx (+ 1 N) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 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 (pow N 3) -1))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3)))))
#s(approx (log (+ 1 (pow (pow N 3) -1))) #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 (pow N 3) -1))) #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 N) -1) (* 1 (pow N -1))))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))))
#s(approx (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1))))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* 2/3 (/ 1 N))) N))) N))))
#s(approx (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1))))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/4 (pow N 2)) (* 2/3 (/ 1 N)))) N))) N))))
#s(approx (- (pow (* N N) -1) (* 1 (pow N -1))) #s(hole binary64 (* -1 (/ (- 1 (/ 1 N)) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (/ (* (pow (* (* N N) N) -1) 1/4) N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (/ (* (pow (* (* N N) N) -1) 1/4) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (/ (* (pow (* (* N N) N) -1) 1/4) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 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 (- (+ (/ (/ (* (pow N -1) 1/3) N) N) (/ (+ (* (pow N -1) -1/2) 1) N)) (/ (* (pow (* (* N N) N) -1) 1/4) N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (+ (/ (/ (* (pow N -1) 1/3) N) N) (/ (+ (* (pow N -1) -1/2) 1) N)) (/ (* (pow (* (* N N) N) -1) 1/4) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (+ (/ (/ (* (pow N -1) 1/3) N) N) (/ (+ (* (pow N -1) -1/2) 1) N)) (/ (* (pow (* (* N N) N) -1) 1/4) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (+ (/ (/ (* (pow N -1) 1/3) N) N) (/ (+ (* (pow N -1) -1/2) 1) N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (+ (/ (/ (* (pow N -1) 1/3) N) N) (/ (+ (* (pow N -1) -1/2) 1) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* (pow N -1) -1/2) 1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (pow (pow (pow N -1) 1/2) 2))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (log (+ 1 (pow (pow (pow N -1) 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 (pow N -1) 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 (pow N -1) 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 (pow N -1) 1/2) 2) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (pow (pow N -1) 1/2) #s(hole binary64 (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (log (* (pow (pow N -1) -1) (+ 1 N)))) #s(hole binary64 (* -1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (* N (log (/ -1 N)))))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (log (* (pow (pow N -1) -1) (+ 1 N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (log (/ -1 N)))) (* 1/4 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (log (/ -1 N))))) N))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (log (* (pow (pow N -1) -1) (+ 1 N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -1/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (log (/ -1 N)))) (+ (* 1/8 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (log (/ -1 N)))) (* 1/4 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* -1/2 (/ (+ 1 (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (log (/ -1 N))))) (* 1/4 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (log (/ -1 N))))) N))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (log (* (pow (pow N -1) -1) (+ 1 N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 11/12 (* -1/4 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (log (/ -1 N)))) (+ (* 1/12 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (* -1/2 (/ (+ 1 (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (log (/ -1 N)))) (* 1/4 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (log (/ -1 N)))) (+ (* 1/8 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (log (/ -1 N)))) (* 1/4 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* -1/2 (/ (+ 1 (* -1/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (log (/ -1 N))))) (+ (* 1/8 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (log (/ -1 N)))) (* 1/4 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* -1/2 (/ (+ 1 (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (log (/ -1 N))))) (* 1/4 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (log (/ -1 N))))) N))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) #s(hole binary64 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) N)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) #s(hole binary64 (* -1 (/ (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))) N))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) #s(hole binary64 (* -1 (/ (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* -1/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)) (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N))) N))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) #s(hole binary64 (* -1 (/ (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/4 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)) (* -1/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N)) (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N))) N))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (+ (* 2 (log -1)) (/ 1 N)))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) (* 2 (log -1))))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) (* 2 (log -1))))))
#s(approx (* -1 (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 N)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))))
#s(approx (log (+ 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 (* (pow (pow N -1) -1) (+ 1 N))) #s(hole binary64 (* -2 (log (/ -1 N)))))
#s(approx (log (* (pow (pow N -1) -1) (+ 1 N))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (/ 1 N))))
#s(approx (log (* (pow (pow N -1) -1) (+ 1 N))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))))
#s(approx (log (* (pow (pow N -1) -1) (+ 1 N))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))))

Outputs
(/.f64 (-.f64 (.f64 (log1p.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))) (.f64 (log1p.f64 (fma.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))) (log1p.f64 (fma.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))))) (+.f64 (log1p.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (log1p.f64 (fma.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (log1p.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (log1p.f64 (fma.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))) (log1p.f64 (fma.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))) (.f64 (log1p.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (log1p.f64 (fma.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64)))))))))
(-.f64 (log1p.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (log1p.f64 (fma.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(log.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1/2 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 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))
(log.f64 (fma.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 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 (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)))
(.f64 (.f64 N N) N)
(.f64 N (.f64 N N))
(pow.f64 N #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 N) #s(literal 3 binary64)))
N
#s(literal 3 binary64)
#s(literal -1 binary64)
(log1p.f64 (fma.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (*.f64 #s(literal -1 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 (-.f64 (.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #s(literal -2 binary64))) (fma.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))
(fma.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))
(-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))
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(.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)))
(pow.f64 (*.f64 N N) #s(literal -1 binary64))
(pow.f64 N #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
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#s(approx (log (+ 1 (pow N -1))) (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
#s(approx (pow (pow (pow N -1) 1/2) 2) (pow.f64 N #s(literal -1 binary64)))
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#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (log (* (pow (pow N -1) -1) (+ 1 N)))) (.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1/4 binary64) #s(literal 11/12 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)))))) (fma.f64 (/.f64 (-.f64 (-.f64 (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 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(.f64 (/.f64 (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N))) #s(literal 1/2 binary64))) N) #s(literal -1 binary64)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (/.f64 (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) N))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) N) #s(literal -1 binary64) (.f64 (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) N) #s(literal -1 binary64)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1/3 binary64) #s(literal 1 binary64)) N) #s(literal -1 binary64) (.f64 (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) N) #s(literal -1 binary64) (.f64 (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) N) #s(literal -1 binary64)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1/4 binary64) #s(literal 11/12 binary64)) N) #s(literal -1 binary64) (.f64 (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1/3 binary64))) #s(literal 1 binary64)) N) #s(literal -1 binary64) (.f64 (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) N) #s(literal -1 binary64) (.f64 (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) N) #s(literal -1 binary64)))
#s(approx (log (* (pow (pow N -1) -1) (+ 1 N))) (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (log (* (pow (pow N -1) -1) (+ 1 N))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64) #s(literal 0 binary64))))
#s(approx (log (* (pow (pow N -1) -1) (+ 1 N))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -2 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64) #s(literal 0 binary64))))
#s(approx (log (* (pow (pow N -1) -1) (+ 1 N))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -2 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64) #s(literal 0 binary64))))
#s(approx (* -1 (log N)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (log N) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 N)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 N)) (+.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 N)) (+.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -1 binary64) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 N)) (+.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -1 binary64) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 (pow N -1))) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64)))
#s(approx (log (+ 1 (pow N -1))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64)))
#s(approx (log (+ 1 (pow N -1))) (.f64 (-.f64 (/.f64 (.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (log (* (pow (pow N -1) -1) (+ 1 N))) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))))
#s(approx (log (* (pow (pow N -1) -1) (+ 1 N))) (fma.f64 (pow.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64)))))
#s(approx (log (* (pow (pow N -1) -1) (+ 1 N))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -2 binary64) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64))))
#s(approx (log (* (pow (pow N -1) -1) (+ 1 N))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -2 binary64) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64))))

eval58.0ms (1.3%)

Memory: -15.2MiB live, 77.2MiB allocated; 6ms collecting garbage
Compiler: Compiled 18 674 to 1 904 computations (89.8% saved)

prune595.0ms (13.6%)

Memory

27.8MiB live, 590.0MiB allocated; 35ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	472	1	473
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	474	5	479

Accuracy

100.0%

Counts

479 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) N))))
✓	99.8%	(-.f64 (log1p.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (log1p.f64 (-.f64 (pow.f64 (.f64 N N) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
▶	99.8%	(-.f64 (log1p.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (log1p.f64 #s(approx (- (pow (* N N) -1) (* 1 (pow N -1))) (/.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N))))
✓	96.4%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 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 (.f64 (pow.f64 (.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
✓	96.9%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))

Compiler

Compiled 150 to 105 computations (30% saved)

series8.0ms (0.2%)

Memory

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

Counts

13 → 51

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (log1p.f64 #s(approx (- (pow (* N N) -1) (* 1 (pow N -1))) (/.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N))))
(log1p.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 N #s(literal 3 binary64))
N
#s(literal 3 binary64)
#s(literal -1 binary64)
(log1p.f64 #s(approx (- (pow (* N N) -1) (* 1 (pow N -1))) (/.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N)))
#s(approx (- (pow (* N N) -1) (* 1 (pow N -1))) (/.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N))
(/.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N)
(-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 N #s(literal -1 binary64))
#s(literal 1 binary64)

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	N	@	-inf	((- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) (log (+ 1 (pow (pow N 3) -1))) (pow (pow N 3) -1) (pow N 3) N 3 -1 (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1))))) (- (pow (* N N) -1) (* 1 (pow N -1))) (/ (- (pow N -1) 1) N) (- (pow N -1) 1) (pow N -1) 1)
2.0ms	N	@	inf	((- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) (log (+ 1 (pow (pow N 3) -1))) (pow (pow N 3) -1) (pow N 3) N 3 -1 (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1))))) (- (pow (* N N) -1) (* 1 (pow N -1))) (/ (- (pow N -1) 1) N) (- (pow N -1) 1) (pow N -1) 1)
2.0ms	N	@	0	((- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) (log (+ 1 (pow (pow N 3) -1))) (pow (pow N 3) -1) (pow N 3) N 3 -1 (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1))))) (- (pow (* N N) -1) (* 1 (pow N -1))) (/ (- (pow N -1) 1) N) (- (pow N -1) 1) (pow N -1) 1)

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

rewrite170.0ms (3.9%)

Memory

-22.4MiB live, 213.8MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	1300
0	243	1045
1	1346	946
0	8493	886

Stop Event

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

Counts

64 → 163

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (-.f64 (.f64 (log1p.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))) (.f64 (log1p.f64 #s(approx (- (pow (* N N) -1) (* 1 (pow N -1))) (-.f64 (/.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) N) (pow.f64 (.f64 N N) #s(literal -1/2 binary64))))) (log1p.f64 #s(approx (- (pow (* N N) -1) (* 1 (pow N -1))) (-.f64 (/.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) N) (pow.f64 (.f64 N N) #s(literal -1/2 binary64)))))))) (neg.f64 (+.f64 (log1p.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (log1p.f64 #s(approx (- (pow (* N N) -1) (* 1 (pow N -1))) (-.f64 (/.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) N) (pow.f64 (.f64 N N) #s(literal -1/2 binary64))))))))
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N
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(expm1.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 N N) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (/.f64 #s(literal 1 binary64) (fabs.f64 N)) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 N N) #s(literal -1/2 binary64))))))
(-.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) N) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) N) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 N) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 N) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 N N))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 N N) #s(literal -1/2 binary64)))
(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 N #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N))
(/.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 N #s(literal -2 binary64)))
(/.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) N)))
(/.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal -1 binary64) N) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -1 binary64) N)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 N N) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) N))
(-.f64 (/.f64 #s(literal -3 binary64) (.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) N)))
(+.f64 (cosh.f64 (.f64 (log.f64 N) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 N) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 N) #s(literal -1 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 N) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(approx (- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) (*.f64 (log.f64 N) #s(literal -1 binary64)))
#s(approx (- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) (+.f64 N (*.f64 (log.f64 N) #s(literal -1 binary64))))
#s(approx (- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (.f64 (log.f64 N) #s(literal -3 binary64))) (.f64 #s(literal -2 binary64) (log.f64 N))))
#s(approx (- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N (.f64 (log.f64 N) #s(literal -3 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 N))))
#s(approx (log (+ 1 (pow (pow N 3) -1))) (*.f64 (log.f64 N) #s(literal -3 binary64)))
#s(approx (log (+ 1 (pow (pow N 3) -1))) (fma.f64 (log.f64 N) #s(literal -3 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (log (+ 1 (pow (pow N 3) -1))) (fma.f64 (.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal -1 binary64) (.f64 (fma.f64 #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 (pow N 3) -1))) (fma.f64 (.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal -1 binary64) (.f64 (fma.f64 (-.f64 (*.f64 #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 (pow (pow N 3) -1) (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))
#s(approx (pow N 3) (pow.f64 N #s(literal 3 binary64)))
#s(approx N N)
#s(approx (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1))))) (*.f64 #s(literal -2 binary64) (log.f64 N)))
#s(approx (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1))))) (fma.f64 #s(literal -1 binary64) N (*.f64 #s(literal -2 binary64) (log.f64 N))))
#s(approx (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1))))) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N (.f64 #s(literal -2 binary64) (log.f64 N))))
#s(approx (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1))))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) N #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N (.f64 #s(literal -2 binary64) (log.f64 N))))
#s(approx (- (pow (* N N) -1) (* 1 (pow N -1))) (pow.f64 N #s(literal -2 binary64)))
#s(approx (- (pow (* N N) -1) (* 1 (pow N -1))) (/.f64 (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (/ (- (pow N -1) 1) N) (pow.f64 N #s(literal -2 binary64)))
#s(approx (/ (- (pow N -1) 1) N) (/.f64 (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (- (pow N -1) 1) (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
#s(approx (- (pow N -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)) N))
#s(approx (pow N -1) (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
#s(approx (- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
#s(approx (- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) N))
#s(approx (- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)) N) (/.f64 (.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) N)))
#s(approx (- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 N N)) #s(literal 1 binary64)) N) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) N)))
#s(approx (log (+ 1 (pow (pow N 3) -1))) (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))
#s(approx (log (+ 1 (pow (pow N 3) -1))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (pow.f64 N #s(literal 3 binary64))))
#s(approx (log (+ 1 (pow (pow N 3) -1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 N N) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (pow.f64 N #s(literal 3 binary64))))
#s(approx (log (+ 1 (pow (pow N 3) -1))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 N N) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (.f64 (pow.f64 (pow.f64 (.f64 N N) #s(literal 9/2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))) (pow.f64 N #s(literal 3 binary64))))
#s(approx (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1))))) (.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
#s(approx (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1))))) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) N))
#s(approx (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1))))) (/.f64 (-.f64 (fma.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 N N))) #s(literal 1 binary64)) N))
#s(approx (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1))))) (+.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) (.f64 N N)) N) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) N)))
#s(approx (- (pow (* N N) -1) (* 1 (pow N -1))) (.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
#s(approx (- (pow (* N N) -1) (* 1 (pow N -1))) (-.f64 (/.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) N) (pow.f64 (.f64 N N) #s(literal -1/2 binary64))))
#s(approx (/ (- (pow N -1) 1) N) (.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (- (pow N -1) 1) N) (-.f64 (/.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) N) (pow.f64 (.f64 N N) #s(literal -1/2 binary64))))
#s(approx (- (pow N -1) 1) #s(literal -1 binary64))
#s(approx (- (pow N -1) 1) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 N #s(literal 2 binary64))) (.f64 N #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64)))
#s(approx (- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64)))
#s(approx (- (log (+ 1 (pow (pow N 3) -1))) (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1)))))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 N N) #s(literal -1/2 binary64))) #s(literal 1/3 binary64)) N) #s(literal -1 binary64)) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64)))
#s(approx (log (+ 1 (pow (pow N 3) -1))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 N N)) (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (pow (pow N 3) -1))) (.f64 (/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 N N)) (/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) N)) (pow.f64 N #s(literal 3 binary64))) (.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 N N) #s(literal 3 binary64))) #s(literal -1 binary64)))
#s(approx (log (+ 1 (pow (pow N 3) -1))) (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3/2 binary64))) (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 N N)) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1/3 binary64)) N)) (pow.f64 N #s(literal 3 binary64))) (.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1/2 binary64))) (pow.f64 (.f64 N N) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3/2 binary64)))))
#s(approx (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1))))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) N) #s(literal -1 binary64)))
#s(approx (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1))))) (.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) #s(literal 2/3 binary64) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) N) #s(literal -1 binary64)))
#s(approx (log (+ 1 (- (pow (* N N) -1) (* 1 (pow N -1))))) (.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) #s(literal 2/3 binary64) (pow.f64 (.f64 (pow.f64 (.f64 N N) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) N) #s(literal -1 binary64)))
#s(approx (- (pow (* N N) -1) (* 1 (pow N -1))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 N N) #s(literal -1/2 binary64))) N) #s(literal -1 binary64)))
#s(approx (/ (- (pow N -1) 1) N) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 N N) #s(literal -1/2 binary64))) N) #s(literal -1 binary64)))

eval29.0ms (0.7%)

Memory: 2.7MiB live, 53.2MiB allocated; 14ms collecting garbage
Compiler: Compiled 6 533 to 827 computations (87.3% saved)

prune241.0ms (5.5%)

Memory

30.5MiB live, 407.6MiB allocated; 38ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	167	5	172

Accuracy

100.0%

Counts

172 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) N))))
✓	99.8%	(-.f64 (log1p.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (log1p.f64 (-.f64 (pow.f64 (.f64 N N) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
✓	99.8%	(-.f64 (log1p.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (log1p.f64 #s(approx (- (pow (* N N) -1) (* 1 (pow N -1))) (/.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N))))
✓	96.4%	#s(approx (- (log (+ N 1)) (log N)) (-.f64 #s(approx (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 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 (.f64 (pow.f64 (.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
✓	96.9%	#s(approx (- (log (+ N 1)) (log N)) (.f64 (/.f64 (fma.f64 (.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))

Compiler

Compiled 441 to 205 computations (53.5% saved)

regimes8.0ms (0.2%)

Memory

-34.3MiB live, 12.9MiB allocated; 2ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.3b remaining (-17.2%)

Threshold costs -0.3b (-17.2%)

Counts

4 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.9%	1	`(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))`
96.9%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

derivations45.0ms (1%)

Memory

-9.4MiB live, 37.4MiB allocated; 2ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 36 to 23 computations (36.1% saved)

preprocess18.0ms (0.4%)

Memory: 33.1MiB live, 33.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 86 to 58 computations (32.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.2s (26.8%)

explain111.0ms (2.5%)

preprocess68.0ms (1.6%)

series56.0ms (1.3%)

rewrite257.0ms (5.9%)

eval12.0ms (0.3%)

prune6.0ms (0.1%)

series57.0ms (1.3%)

rewrite225.0ms (5.2%)

eval95.0ms (2.2%)

prune896.0ms (20.5%)

series55.0ms (1.3%)

rewrite188.0ms (4.3%)

eval58.0ms (1.3%)

prune595.0ms (13.6%)

series8.0ms (0.2%)

rewrite170.0ms (3.9%)

eval29.0ms (0.7%)

prune241.0ms (5.5%)

regimes8.0ms (0.2%)

regimes3.0ms (0.1%)

derivations45.0ms (1%)

preprocess18.0ms (0.4%)

end0.0ms (0%)

Profiling